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	<updated>2026-04-18T12:31:51Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:HardAnswerPhysicsBook.jpeg&amp;diff=21572</id>
		<title>File:HardAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:HardAnswerPhysicsBook.jpeg&amp;diff=21572"/>
		<updated>2016-04-16T03:46:04Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:HardAnswerPhysicsBook.jpeg&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21571</id>
		<title>File:EasyAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21571"/>
		<updated>2016-04-16T03:44:27Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:EasyAnswerPhysicsBook.jpeg&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21570</id>
		<title>File:EasyAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21570"/>
		<updated>2016-04-16T03:44:18Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:EasyAnswerPhysicsBook.jpeg&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21569</id>
		<title>File:EasyAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21569"/>
		<updated>2016-04-16T03:31:59Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:EasyAnswerPhysicsBook.jpeg&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21568</id>
		<title>File:EasyAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21568"/>
		<updated>2016-04-16T03:28:59Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:EasyAnswerPhysicsBook.jpeg&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21567</id>
		<title>File:EasyAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21567"/>
		<updated>2016-04-16T03:27:03Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:EasyAnswerPhysicsBook.jpeg&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21566</id>
		<title>File:EasyAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21566"/>
		<updated>2016-04-16T03:24:23Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:EasyAnswerPhysicsBook.jpeg&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21565</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21565"/>
		<updated>2016-04-16T03:23:52Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Middling */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File:PhysicsBook Probelm Picture.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:EasyProblem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EasyAnswerPhysicsBook.jpeg]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:HardProblem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:HardAnswerPhysicsBook.jpeg]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21564</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21564"/>
		<updated>2016-04-16T03:23:28Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Difficult */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File:PhysicsBook Probelm Picture.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:EasyProblem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EasyAnswerPhysicsBook.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:HardProblem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:HardAnswerPhysicsBook.jpeg]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyProblem.png&amp;diff=21563</id>
		<title>File:EasyProblem.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyProblem.png&amp;diff=21563"/>
		<updated>2016-04-16T03:21:58Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:EasyProblem.png&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:HardAnswerPhysicsBook.jpeg&amp;diff=21562</id>
		<title>File:HardAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:HardAnswerPhysicsBook.jpeg&amp;diff=21562"/>
		<updated>2016-04-16T03:20:24Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:HardProblem.png&amp;diff=21561</id>
		<title>File:HardProblem.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:HardProblem.png&amp;diff=21561"/>
		<updated>2016-04-16T03:19:35Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21560</id>
		<title>File:EasyAnswerPhysicsBook.jpeg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyAnswerPhysicsBook.jpeg&amp;diff=21560"/>
		<updated>2016-04-16T03:18:30Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:EasyProblem.png&amp;diff=21559</id>
		<title>File:EasyProblem.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:EasyProblem.png&amp;diff=21559"/>
		<updated>2016-04-16T03:16:46Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21558</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21558"/>
		<updated>2016-04-16T03:16:32Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Examples */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File:PhysicsBook Probelm Picture.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:EasyProblem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EasyAnswerPhysicsBook.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:HardProblem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:HardAnswerPhysicsBook.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21557</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21557"/>
		<updated>2016-04-16T03:13:08Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Examples */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File:PhysicsBook Probelm Picture.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:Easy Problem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Easy Answer PhysicsBook.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:Hard Problem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Hard Answer Physics Book.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21556</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21556"/>
		<updated>2016-04-16T03:12:40Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Simple */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File:PhysicsBook Probelm Picture.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:Easy Problem.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Easy Answer PhysicsBook.jpg]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:Hard Problem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Hard Answer Physics Book.jpg]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21555</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21555"/>
		<updated>2016-04-16T03:11:15Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Difficult */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File:PhysicsBook Probelm Picture.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:Easy Problem.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Easy Answer PhysicsBook.jpg]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:Hard Problem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Hard Answer Physics Book.jpg]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21554</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21554"/>
		<updated>2016-04-16T03:10:58Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Middling */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File:PhysicsBook Probelm Picture.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:Easy Problem.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Easy Answer PhysicsBook.jpg]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:Hard Problem.png]]&lt;br /&gt;
[[File:Hard Answer Physics Book.jpg]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:PhysicsBook_Probelm_Picture.png&amp;diff=21553</id>
		<title>File:PhysicsBook Probelm Picture.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:PhysicsBook_Probelm_Picture.png&amp;diff=21553"/>
		<updated>2016-04-16T03:10:13Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21552</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=21552"/>
		<updated>2016-04-16T03:09:29Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Examples */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File:PhysicsBook Probelm Picture.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:Easy Problem.jpg]]&lt;br /&gt;
[[File:Easy Answer PhysicsBook.jpg]]&lt;br /&gt;
Easy Answer PhysicsBook.jpg&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:Hard Problem.png]]&lt;br /&gt;
[[File:Hard Answer Physics Book.jpg]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20948</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20948"/>
		<updated>2016-04-12T02:18:07Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File: SSCircuitsA.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:SSCircuitsB.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:ExampleDifficultSteadyState.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
In the field of biochemistry, steady state can be related to cells. In ionic steady state, cells maintain different internal and external concentrations of various ionic species with the cell.. If the cells are not in steady state, this means there is equilibrium. With steady state, there is not an equilibrium establishes meaning both the inner and outer cell are never equal in concentration. There are continuous ions moving within and out of the cell.&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20946</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20946"/>
		<updated>2016-04-12T02:05:22Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File: SSCircuitsA.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:SSCircuitsB.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:ExampleDifficultSteadyState.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;18.&amp;quot; Matter &amp;amp; Interactions. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Steady_vs_static_state.png&amp;diff=20938</id>
		<title>File:Steady vs static state.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Steady_vs_static_state.png&amp;diff=20938"/>
		<updated>2016-04-12T01:51:21Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: Nfortingo3 uploaded a new version of &amp;amp;quot;File:Steady vs static state.png&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Steady_vs_static_state.png&amp;diff=20936</id>
		<title>File:Steady vs static state.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Steady_vs_static_state.png&amp;diff=20936"/>
		<updated>2016-04-12T01:49:39Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20935</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20935"/>
		<updated>2016-04-12T01:49:25Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* The Main Idea */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.png]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File: SSCircuitsA.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:SSCircuitsB.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:ExampleDifficultSteadyState.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20934</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20934"/>
		<updated>2016-04-12T01:46:45Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* A Conceptual Understanding */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
[[File:Steady vs static state.jpg]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File: SSCircuitsA.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:SSCircuitsB.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:ExampleDifficultSteadyState.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20932</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20932"/>
		<updated>2016-04-12T01:43:30Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* A Conceptual Understanding */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
Steady State VS Static Equilibirum&lt;br /&gt;
	                      Static EQ	Steady State	Transient&lt;br /&gt;
                          υ	        = 0	       ≠ 0	           ≠ 0&lt;br /&gt;
                         dv/dt	= 0	       = 0	           ≠ 0&lt;br /&gt;
    Einside conductor  	= 0	       ≠ 0	            ≠ 0&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File: SSCircuitsA.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:SSCircuitsB.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:ExampleDifficultSteadyState.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20885</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20885"/>
		<updated>2016-04-11T18:50:34Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;claimed by Nyemkuna Fortingo&#039;&#039;&#039; ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File: SSCircuitsA.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:SSCircuitsB.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:ExampleDifficultSteadyState.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20884</id>
		<title>Steady State</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Steady_State&amp;diff=20884"/>
		<updated>2016-04-11T18:44:58Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;claimed by Nyemkuna Fortingo ( Spring 2016)&lt;br /&gt;
claimed by Shirin Kale (Fall 2015)&lt;br /&gt;
&lt;br /&gt;
Steady state is the term used to describe an assembled circuit in which the current and net electric field are constant and stay approximately constant for a very long time. Circuits with uniform thickness and composition can be described as steady state if charged particles move with constant current in each section of a wire in the circuit. Circuits in the steady state do not change current as a function of time.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
After a circuit has been assembled, it can be described as steady state if it meets the following requirements:&lt;br /&gt;
* mobile charges are moving with constant drift velocity anywhere in the circuit&lt;br /&gt;
* no excess charges accumulate anywhere in the circuit&lt;br /&gt;
&lt;br /&gt;
Although mobile charges are moving, the drift velocities of the charges do not vary with time at any location in the circuit and thus, the current is constant throughout the circuit. However, since current is also a function of the cross-sectional area and charge density (composition) of the wire - as shown by the equation for conventional current below - a steady state circuit is more specifically described as one in which the current is constant in each section of a wire with uniform thickness and composition.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;&#039;&#039;&#039;I = |q|nAv&#039;&#039;&#039;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
i = electron current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
I = conventional current&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
v = drift speed&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
q = charge of mobile particles&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
A = cross-sectional area of wire&lt;br /&gt;
&lt;br /&gt;
In the steady state, at each section of circuit:&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;i&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = i&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&amp;lt;big&amp;gt;I&amp;lt;sub&amp;gt;in&amp;lt;/sub&amp;gt; = I&amp;lt;sub&amp;gt;out&amp;lt;/sub&amp;gt;&amp;lt;/big&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===A Conceptual Understanding===&lt;br /&gt;
&lt;br /&gt;
Because mobile charges are moving (with constant drift speed) in the circuit, there must be an applied electric field inside the wire that causes the mobile charges to move. Since there is no excess charge inside the wire, the electric field must be produced from surface charges. And because this electric field is responsible for moving the mobile charges inside the wire, the direction of the electric field at each location in the wire must be parallel to the wire. &lt;br /&gt;
&lt;br /&gt;
Once a circuit is described as being in the steady state, there are three things we know to be true. It is true that:&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
:* there must be a nonzero electric field in the wire&lt;br /&gt;
:* the electric field has uniform magnitude throughout the wire&lt;br /&gt;
:* the electric field is parallel to the wire at every location along the wire&lt;br /&gt;
&lt;br /&gt;
The electric field and current inside the wire remains constant because the electric force (F = qE) acting on the mobile charged particles and allowing them to move through the circuit is canceled out by the drag force produced by the moving charged particles such that the net force is zero and thus, acceleration is zero.&lt;br /&gt;
&lt;br /&gt;
When you assume that a circuit is in steady state, you are basically assuming that the circuit has been assembled and connected for a long time (such that the current is constant). However, there is a process that occurs - when the circuit is first assembled - before the circuit reaches steady state. Let’s take a look at some examples to better understand steady state circuits.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
[[File: SSCircuitsA.png]]&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
[[File:SSCircuitsB.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:ExampleDifficultSteadyState.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
As a biomedical engineer, the idea of steady state circuits is surprisingly interesting to me because the process of reaching steady state in a circuit is much like the process of maintaining homeostasis in the human body.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* Circuit Components&lt;br /&gt;
* RC Circuits&lt;br /&gt;
* Thin and Thick Wires&lt;br /&gt;
* Node Rule&lt;br /&gt;
* Loop Rule&lt;br /&gt;
* Ohm&#039;s Law&lt;br /&gt;
* Series Circuits&lt;br /&gt;
* Parallel Circuits&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
http://people.seas.harvard.edu/~jones/es154/pages/nicetut/book2/RC.html&lt;br /&gt;
http://ocw.mit.edu/high-school/physics/exam-prep/electric-circuits/steady-state-direct-current-circuits-batteries-resistors/8_02_spring_2007_chap7dc_circuits.pdf&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Atomic_Structure_of_Magnets&amp;diff=20883</id>
		<title>Atomic Structure of Magnets</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Atomic_Structure_of_Magnets&amp;diff=20883"/>
		<updated>2016-04-11T18:44:09Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
Magnets generate their magnetic fields at the atomic level.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
[[File:electron_orbit.png|thumb|Two ways that a magnetic field can be generated are pictured. 1) An electron orbiting around the atomic nucleus. 2) An electron rotating around its axis. Image retrieved from [http://www.gitam.edu/eresource/Engg_Phys/semester_2/magnetic/intro.htm GITAM]]] &lt;br /&gt;
&lt;br /&gt;
The [[magnetic field]] produced by a magnet is the sum of the magnetic fields generated by each individual atom.  These very small magnetic fields are generated much like those of [[Magnetic Field of a Loop|circular current loops]]; however instead of being generated by electrons flowing through a wire, the field in each individual atom is produced in one three different ways:&lt;br /&gt;
&lt;br /&gt;
# An electron orbiting around the atomic nucleus.&lt;br /&gt;
# An electron rotating around its axis.&lt;br /&gt;
# The rotation of protons and neutrons within the nucleus of the atom. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
All three of these situations produce a [[Magnetic Dipole Moment|magnetic dipole]] proportional to the [[The Angular Momentum Principle|angular momentum]].  Together, the magnetic dipoles of all the atoms in the magnet sum to give the total magnetic dipole of the magnet.  The magnetic field at an observation location can then be found from this dipole. &lt;br /&gt;
&lt;br /&gt;
[[File:Magnet_arrangment.png|thumb|A non-magnetic material (left) and a magnetic material (right). In the non-magnetic material, the atomic magnetic dipoles are random, and average out to zero. In the magnetic material, the magnetic field from the atomic magnetic dipoles are aligned, which allow for a nonzero magnetic field. Image retrieved from [http://hyperphysics.phy-astr.gsu.edu/hbase/solids/ferro.html#c4 Hyperphysics]]]&lt;br /&gt;
&lt;br /&gt;
Although all atoms have electrons orbiting their nuclei, most materials are not magnetic. Each atom in these materials has a small magnetic dipole, however these dipoles are unaligned and disordered and therefore usually sum to zero.  In magnetic materials, regions of magnetic dipoles line up. Although some of these regions cancel other regions out, enough regions align to produce a nonzero magnet field.  This is allowed by interactions between atoms in certain elements (usually iron, nickel, cobalt, or alloys of these metals).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
The magnetic dipole in a magnet is analogous to the magnetic dipole in a current loop.  In a current loop &amp;lt;math&amp;gt;{\mu = I \pi R^2}&amp;lt;/math&amp;gt; when &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is the radius of the loop.  Since the units of &amp;lt;math&amp;gt;I&amp;lt;/math&amp;gt; are &amp;lt;math&amp;gt;\frac{charge}{time}&amp;lt;/math&amp;gt;, the charge of an electron is &amp;lt;math&amp;gt;-e&amp;lt;/math&amp;gt;, and the period for one orbit around the nuclues is &amp;lt;math&amp;gt;t = \frac{2 \pi R}{v}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;v&amp;lt;/math&amp;gt; is the speed of the the electron, the magnetic dipole for one atom in a magnet simplifies to &amp;lt;math&amp;gt;\mu = \frac{e R v}{2}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is now the radius of the orbit. &lt;br /&gt;
&lt;br /&gt;
The magnetic dipole is proportional to the [[The Angular Momentum Principle|angular momentum]], &amp;lt;math&amp;gt;L&amp;lt;/math&amp;gt; of the electron orbiting the nucleus. Assuming a circular orbit and assuming the speed of the electron is much less than the speed of light, &amp;lt;math&amp;gt;L = R p = R m v&amp;lt;/math&amp;gt;.  Multiplying the magnetic dipole by &amp;lt;math&amp;gt;\frac{m}{m}&amp;lt;/math&amp;gt; reveals the proportionality of magnetic dipole and angular momentum &amp;lt;math&amp;gt;\mu = \frac{m}{m} \frac{e R v}{2} \Rightarrow \mu = \frac{e}{2 m} (R m v) = \frac{e}{2 m} L &amp;lt;/math&amp;gt; &lt;br /&gt;
From this equation the charge and mass of an electron and a proton can be plugged in to be compared.  Because an electron weighs so much less than a proton, the magnetic dipole from the orbit of an electron is &amp;lt;math&amp;gt;10^4&amp;lt;/math&amp;gt; times bigger than the magnetic dipole from the rotation of a proton or neutron in the nucleus, allowing the contributions from the protons and neutrons to be neglected.&lt;br /&gt;
&lt;br /&gt;
For the purpose of calculating the magnetic dipole, it can be assumed that &amp;lt;math&amp;gt;L&amp;lt;/math&amp;gt; is equal to Planck&#039;s Constant, &amp;lt;math&amp;gt;\hbar = 1.05 \times 10^{-34} \, J \cdot s &amp;lt;/math&amp;gt;.  Plugging in the charge and mass of an electron gives &amp;lt;math&amp;gt;\mu \approx 1 \times 10^{-23} \, A \cdot m^2 \, per \, atom&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Finally, if &amp;lt;math&amp;gt;\mu = N \mu_{atom}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;N&amp;lt;/math&amp;gt; is the number of atoms, this &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the magnetic dipole of the magnet.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[https://trinket.io/glowscript/6ed3e8b565 Here] is a link that to glowscript showing a model of an electron orbiting a nucleus, which is how the magnetic dipole in a magnet is formed.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
A bar magnet made from iron has a mass of 72 g. What is the magnetic dipole of the bar magnet?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;N = \left (\frac{72 \, g \, iron}{56 \, \frac{g \, iron}{mol \, iron}} \right ) \left (6.022 \times 10^{23} \frac{atoms}{mol} \right ) = 7.74 \times 10^{23} \, atoms&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\mu = (7.74 \times 10^{23} \, atoms) \left (1 \times 10^{-23} \, \frac{A \cdot m^2}{atom} \right ) = 7.74 \, A \cdot m^2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
A bar magnet that is 15% mass iron and 85% mass nickel has a mass of 126 g. What is the magnetic dipole of the bar magnet?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;126 \, g \cdot 0.15 = 18.9 \, g \, iron&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;126 \, g \cdot 0.85 = 107.1 \, g \, nickel&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;N = \left (\frac{18.9 \, g \, iron}{56 \, \frac{g \, iron}{mol \, iron}} \right ) \left (6.022 \times 10^{23} \frac{atoms}{mol} \right ) = 2.03 \times 10^{23} \, atoms&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;N = \left (\frac{107.1 \, g \, nickel}{59 \, \frac{g \, nickel}{mol \, iron}} \right ) \left (6.022 \times 10^{23} \frac{atoms}{mol} \right ) = 1.09 \times 10^{24} \, atoms&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; 2.03 \times 10^{23} \, atoms + 1.09 \times 10^{24} \, atoms = 1.29 \times 10^{24} \, atoms &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\mu = (1.29 \times 10^{24} \, atoms) \left (1 \times 10^{-23} \, \frac{A \cdot m^2}{atom} \right ) = 12.9 \, A \cdot m^2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
A compass originally points north. A bar magnet made of iron is placed &amp;lt;math&amp;gt;20 \, cm&amp;lt;/math&amp;gt; west of the compass on axis, with the north end of the magnet pointing towards the compass. The compass deflects &amp;lt;math&amp;gt;55^\circ&amp;lt;/math&amp;gt;. What is the mass of the magnet?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\overrightarrow{B}_{net} = \overrightarrow{B}_{Earth} + \overrightarrow{B}_{magnet}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;B_{magnet} = (2 \times 10^{-5} \,T) \tan{55^\circ}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;B_{magnet} = 2.86 \times 10^{-5} \,T&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;B_{magnet} = \frac{\mu_0}{4 \pi} \frac{2 \mu}{r^3}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \mu = \frac{r^3 B_{magnet}}{2} \frac{4 \pi}{\mu_0}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \mu = \frac{(0.20 \, m)^3 (2.86 \times 10^{-5} \,T)}{2} \left (1 \times 10^7 \, T \cdot \frac{m}{A} \right)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \mu = 1.14 \, A \cdot m^2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; number \, of \, atoms = \frac{1.14 \, A \cdot m^2}{1 \times 10^{-23} \, \frac{A \cdot m^2}{atom}}&amp;lt;/math&amp;gt; &lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; number \, of \, atoms = 1.14 \times 10^{23} \, atoms&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; mass \, of \, bar = (1.14 \times 10^{23} \, atoms) \left ( \frac{56 \, \frac{g \, iron}{mol \, iron}}{6.022 \times 10^{23} \frac{atoms}{mol}} \right )&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; mass \, of \, bar = 10.6 \, g \, iron&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
##I&#039;ve always thought magnets were interesting since I was a child. I have always been fascinated by magnetic force because you can&#039;t see it working and as a child it always seemed like magic!&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
##Chemical Engineers don&#039;t deal with E&amp;amp;M very much at all however Physics II is required for graduation.&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
##As the atomic structure of magnets is mostly just concept, there aren&#039;t really an industrial applications aside from the production of bar magnets.&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
[[File:Lodestone.png|thumb|A lodestone. Image retrieved from [https://en.wikipedia.org/wiki/Lodestone Wikipedia]]]&lt;br /&gt;
The &amp;quot;first&amp;quot; magnets were called lodestones and are just naturally magnetic pieces of metal.  There are records of lodestones dating up to 2500 years ago from all over the world. By the 12th century, humans discovered they could suspend small pieces of lodestones which would allow them to rotate, and then used them for navigation. We still use compasses to this day!&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Magnetic Dipole Moment]]&lt;br /&gt;
&lt;br /&gt;
[[The Angular Momentum Principle]]&lt;br /&gt;
&lt;br /&gt;
[[Magnetic Field]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
[http://hyperphysics.phy-astr.gsu.edu/hbase/solids/ferro.html#c4 Ferromagnetism]&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[https://trinket.io/glowscript/6ed3e8b565]&lt;br /&gt;
[http://hyperphysics.phy-astr.gsu.edu/hbase/solids/ferro.html#c4]&lt;br /&gt;
[https://en.wikipedia.org/wiki/Lodestone]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Chabay, R., &amp;amp; Sherwood, B. (2015). Magnetic Field. In Matter &amp;amp; interactions (4th ed., Vol. 2, pp. 693-698). Hoboken, NJ: Wiley.&lt;br /&gt;
&lt;br /&gt;
Ferromagnetism. (n.d.). Retrieved December 5, 2015, from http://hyperphysics.phy-astr.gsu.edu/hbase/solids/ferro.html#c4&lt;br /&gt;
&lt;br /&gt;
Lodestone. (n.d.). Retrieved December 5, 2015, from https://en.wikipedia.org/wiki/Lodestone&lt;br /&gt;
&lt;br /&gt;
Origin of Magnetism. (n.d.). Retrieved December 5, 2015, from http://www.gitam.edu/eresource/Engg_Phys/semester_2/magnetic/intro.htm&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Atomic_Structure_of_Magnets&amp;diff=20882</id>
		<title>Atomic Structure of Magnets</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Atomic_Structure_of_Magnets&amp;diff=20882"/>
		<updated>2016-04-11T18:43:31Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Kuna Fortingo&lt;br /&gt;
Magnets generate their magnetic fields at the atomic level.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
[[File:electron_orbit.png|thumb|Two ways that a magnetic field can be generated are pictured. 1) An electron orbiting around the atomic nucleus. 2) An electron rotating around its axis. Image retrieved from [http://www.gitam.edu/eresource/Engg_Phys/semester_2/magnetic/intro.htm GITAM]]] &lt;br /&gt;
&lt;br /&gt;
The [[magnetic field]] produced by a magnet is the sum of the magnetic fields generated by each individual atom.  These very small magnetic fields are generated much like those of [[Magnetic Field of a Loop|circular current loops]]; however instead of being generated by electrons flowing through a wire, the field in each individual atom is produced in one three different ways:&lt;br /&gt;
&lt;br /&gt;
# An electron orbiting around the atomic nucleus.&lt;br /&gt;
# An electron rotating around its axis.&lt;br /&gt;
# The rotation of protons and neutrons within the nucleus of the atom. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
All three of these situations produce a [[Magnetic Dipole Moment|magnetic dipole]] proportional to the [[The Angular Momentum Principle|angular momentum]].  Together, the magnetic dipoles of all the atoms in the magnet sum to give the total magnetic dipole of the magnet.  The magnetic field at an observation location can then be found from this dipole. &lt;br /&gt;
&lt;br /&gt;
[[File:Magnet_arrangment.png|thumb|A non-magnetic material (left) and a magnetic material (right). In the non-magnetic material, the atomic magnetic dipoles are random, and average out to zero. In the magnetic material, the magnetic field from the atomic magnetic dipoles are aligned, which allow for a nonzero magnetic field. Image retrieved from [http://hyperphysics.phy-astr.gsu.edu/hbase/solids/ferro.html#c4 Hyperphysics]]]&lt;br /&gt;
&lt;br /&gt;
Although all atoms have electrons orbiting their nuclei, most materials are not magnetic. Each atom in these materials has a small magnetic dipole, however these dipoles are unaligned and disordered and therefore usually sum to zero.  In magnetic materials, regions of magnetic dipoles line up. Although some of these regions cancel other regions out, enough regions align to produce a nonzero magnet field.  This is allowed by interactions between atoms in certain elements (usually iron, nickel, cobalt, or alloys of these metals).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
The magnetic dipole in a magnet is analogous to the magnetic dipole in a current loop.  In a current loop &amp;lt;math&amp;gt;{\mu = I \pi R^2}&amp;lt;/math&amp;gt; when &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is the radius of the loop.  Since the units of &amp;lt;math&amp;gt;I&amp;lt;/math&amp;gt; are &amp;lt;math&amp;gt;\frac{charge}{time}&amp;lt;/math&amp;gt;, the charge of an electron is &amp;lt;math&amp;gt;-e&amp;lt;/math&amp;gt;, and the period for one orbit around the nuclues is &amp;lt;math&amp;gt;t = \frac{2 \pi R}{v}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;v&amp;lt;/math&amp;gt; is the speed of the the electron, the magnetic dipole for one atom in a magnet simplifies to &amp;lt;math&amp;gt;\mu = \frac{e R v}{2}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is now the radius of the orbit. &lt;br /&gt;
&lt;br /&gt;
The magnetic dipole is proportional to the [[The Angular Momentum Principle|angular momentum]], &amp;lt;math&amp;gt;L&amp;lt;/math&amp;gt; of the electron orbiting the nucleus. Assuming a circular orbit and assuming the speed of the electron is much less than the speed of light, &amp;lt;math&amp;gt;L = R p = R m v&amp;lt;/math&amp;gt;.  Multiplying the magnetic dipole by &amp;lt;math&amp;gt;\frac{m}{m}&amp;lt;/math&amp;gt; reveals the proportionality of magnetic dipole and angular momentum &amp;lt;math&amp;gt;\mu = \frac{m}{m} \frac{e R v}{2} \Rightarrow \mu = \frac{e}{2 m} (R m v) = \frac{e}{2 m} L &amp;lt;/math&amp;gt; &lt;br /&gt;
From this equation the charge and mass of an electron and a proton can be plugged in to be compared.  Because an electron weighs so much less than a proton, the magnetic dipole from the orbit of an electron is &amp;lt;math&amp;gt;10^4&amp;lt;/math&amp;gt; times bigger than the magnetic dipole from the rotation of a proton or neutron in the nucleus, allowing the contributions from the protons and neutrons to be neglected.&lt;br /&gt;
&lt;br /&gt;
For the purpose of calculating the magnetic dipole, it can be assumed that &amp;lt;math&amp;gt;L&amp;lt;/math&amp;gt; is equal to Planck&#039;s Constant, &amp;lt;math&amp;gt;\hbar = 1.05 \times 10^{-34} \, J \cdot s &amp;lt;/math&amp;gt;.  Plugging in the charge and mass of an electron gives &amp;lt;math&amp;gt;\mu \approx 1 \times 10^{-23} \, A \cdot m^2 \, per \, atom&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Finally, if &amp;lt;math&amp;gt;\mu = N \mu_{atom}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;N&amp;lt;/math&amp;gt; is the number of atoms, this &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the magnetic dipole of the magnet.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[https://trinket.io/glowscript/6ed3e8b565 Here] is a link that to glowscript showing a model of an electron orbiting a nucleus, which is how the magnetic dipole in a magnet is formed.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
A bar magnet made from iron has a mass of 72 g. What is the magnetic dipole of the bar magnet?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;N = \left (\frac{72 \, g \, iron}{56 \, \frac{g \, iron}{mol \, iron}} \right ) \left (6.022 \times 10^{23} \frac{atoms}{mol} \right ) = 7.74 \times 10^{23} \, atoms&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\mu = (7.74 \times 10^{23} \, atoms) \left (1 \times 10^{-23} \, \frac{A \cdot m^2}{atom} \right ) = 7.74 \, A \cdot m^2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
A bar magnet that is 15% mass iron and 85% mass nickel has a mass of 126 g. What is the magnetic dipole of the bar magnet?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;126 \, g \cdot 0.15 = 18.9 \, g \, iron&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;126 \, g \cdot 0.85 = 107.1 \, g \, nickel&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;N = \left (\frac{18.9 \, g \, iron}{56 \, \frac{g \, iron}{mol \, iron}} \right ) \left (6.022 \times 10^{23} \frac{atoms}{mol} \right ) = 2.03 \times 10^{23} \, atoms&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;N = \left (\frac{107.1 \, g \, nickel}{59 \, \frac{g \, nickel}{mol \, iron}} \right ) \left (6.022 \times 10^{23} \frac{atoms}{mol} \right ) = 1.09 \times 10^{24} \, atoms&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; 2.03 \times 10^{23} \, atoms + 1.09 \times 10^{24} \, atoms = 1.29 \times 10^{24} \, atoms &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\mu = (1.29 \times 10^{24} \, atoms) \left (1 \times 10^{-23} \, \frac{A \cdot m^2}{atom} \right ) = 12.9 \, A \cdot m^2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
A compass originally points north. A bar magnet made of iron is placed &amp;lt;math&amp;gt;20 \, cm&amp;lt;/math&amp;gt; west of the compass on axis, with the north end of the magnet pointing towards the compass. The compass deflects &amp;lt;math&amp;gt;55^\circ&amp;lt;/math&amp;gt;. What is the mass of the magnet?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\overrightarrow{B}_{net} = \overrightarrow{B}_{Earth} + \overrightarrow{B}_{magnet}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;B_{magnet} = (2 \times 10^{-5} \,T) \tan{55^\circ}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;B_{magnet} = 2.86 \times 10^{-5} \,T&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;B_{magnet} = \frac{\mu_0}{4 \pi} \frac{2 \mu}{r^3}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \mu = \frac{r^3 B_{magnet}}{2} \frac{4 \pi}{\mu_0}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \mu = \frac{(0.20 \, m)^3 (2.86 \times 10^{-5} \,T)}{2} \left (1 \times 10^7 \, T \cdot \frac{m}{A} \right)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \mu = 1.14 \, A \cdot m^2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; number \, of \, atoms = \frac{1.14 \, A \cdot m^2}{1 \times 10^{-23} \, \frac{A \cdot m^2}{atom}}&amp;lt;/math&amp;gt; &lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; number \, of \, atoms = 1.14 \times 10^{23} \, atoms&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; mass \, of \, bar = (1.14 \times 10^{23} \, atoms) \left ( \frac{56 \, \frac{g \, iron}{mol \, iron}}{6.022 \times 10^{23} \frac{atoms}{mol}} \right )&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; mass \, of \, bar = 10.6 \, g \, iron&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
##I&#039;ve always thought magnets were interesting since I was a child. I have always been fascinated by magnetic force because you can&#039;t see it working and as a child it always seemed like magic!&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
##Chemical Engineers don&#039;t deal with E&amp;amp;M very much at all however Physics II is required for graduation.&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
##As the atomic structure of magnets is mostly just concept, there aren&#039;t really an industrial applications aside from the production of bar magnets.&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
[[File:Lodestone.png|thumb|A lodestone. Image retrieved from [https://en.wikipedia.org/wiki/Lodestone Wikipedia]]]&lt;br /&gt;
The &amp;quot;first&amp;quot; magnets were called lodestones and are just naturally magnetic pieces of metal.  There are records of lodestones dating up to 2500 years ago from all over the world. By the 12th century, humans discovered they could suspend small pieces of lodestones which would allow them to rotate, and then used them for navigation. We still use compasses to this day!&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Magnetic Dipole Moment]]&lt;br /&gt;
&lt;br /&gt;
[[The Angular Momentum Principle]]&lt;br /&gt;
&lt;br /&gt;
[[Magnetic Field]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
[http://hyperphysics.phy-astr.gsu.edu/hbase/solids/ferro.html#c4 Ferromagnetism]&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[https://trinket.io/glowscript/6ed3e8b565]&lt;br /&gt;
[http://hyperphysics.phy-astr.gsu.edu/hbase/solids/ferro.html#c4]&lt;br /&gt;
[https://en.wikipedia.org/wiki/Lodestone]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Chabay, R., &amp;amp; Sherwood, B. (2015). Magnetic Field. In Matter &amp;amp; interactions (4th ed., Vol. 2, pp. 693-698). Hoboken, NJ: Wiley.&lt;br /&gt;
&lt;br /&gt;
Ferromagnetism. (n.d.). Retrieved December 5, 2015, from http://hyperphysics.phy-astr.gsu.edu/hbase/solids/ferro.html#c4&lt;br /&gt;
&lt;br /&gt;
Lodestone. (n.d.). Retrieved December 5, 2015, from https://en.wikipedia.org/wiki/Lodestone&lt;br /&gt;
&lt;br /&gt;
Origin of Magnetism. (n.d.). Retrieved December 5, 2015, from http://www.gitam.edu/eresource/Engg_Phys/semester_2/magnetic/intro.htm&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=20881</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=20881"/>
		<updated>2016-04-11T18:41:16Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Week 9 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
Welcome to the Georgia Tech Wiki for Introductory Physics.  This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook.  When reading this website, please correct any errors you may come across. If you read something that isn&#039;t clear, please consider revising it for future students!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick one of the topics from intro physics listed below&lt;br /&gt;
#Add content to that topic or improve the quality of what is already there.&lt;br /&gt;
#Need to make a new topic? Edit this page and add it to the list under the appropriate category.  Then copy and paste the default [[Template]] into your new page and start editing.&lt;br /&gt;
&lt;br /&gt;
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations.  Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.&lt;br /&gt;
&lt;br /&gt;
== Source Material ==&lt;br /&gt;
All of the content added to this resource must be in the public domain or similar free resource.  If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web.  Here is an incomplete list of intro physics resources (please update as needed).&lt;br /&gt;
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]&lt;br /&gt;
* A wiki written for students by a physics expert [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes MSU Physics Wiki]&lt;br /&gt;
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]&lt;br /&gt;
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]&lt;br /&gt;
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]&lt;br /&gt;
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]&lt;br /&gt;
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]&lt;br /&gt;
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]&lt;br /&gt;
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]&lt;br /&gt;
&lt;br /&gt;
== Organizing Categories ==&lt;br /&gt;
These are the broad, overarching categories, that we cover in three semester of introductory physics.  You can add subcategories as needed but a single topic should direct readers to a page in one of these categories.&lt;br /&gt;
&lt;br /&gt;
== Resources ==&lt;br /&gt;
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]&lt;br /&gt;
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]&lt;br /&gt;
* A page to keep track of all the physics [[Constants]]&lt;br /&gt;
* A page for review of [[Vectors]] and vector operations&lt;br /&gt;
* A listing of [[Notable Scientist]] with links to their individual pages &lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
==Physics 1==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Help with VPython=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[VPython]]&lt;br /&gt;
*[[VPython basics]]&lt;br /&gt;
*[[VPython Common Errors and Troubleshooting]]&lt;br /&gt;
*[[VPython Functions]]&lt;br /&gt;
*[[VPython Lists]]&lt;br /&gt;
*[[VPython Loops]]&lt;br /&gt;
*[[VPython Multithreading]]&lt;br /&gt;
*[[VPython Animation]]&lt;br /&gt;
*[[VPython Objects]]&lt;br /&gt;
*[[VPython 3D Objects]]&lt;br /&gt;
*[[VPython Reference]]&lt;br /&gt;
*[[VPython MapReduceFilter]]&lt;br /&gt;
*[[VPython GUIs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Vectors and Units=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[SI units]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=====Interactions=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Velocity and Momentum=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Newton’s First Law of Motion]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Speed and Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Derivation of Average Velocity]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[3-Dimensional Position and Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:vpython_resources Software for Projects]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Momentum and the Momentum Principle=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Momentum Principle]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Net Force]]&lt;br /&gt;
*[[Derivation of the Momentum Principle]]&lt;br /&gt;
*[[Impulse Momentum]]&lt;br /&gt;
*[[Acceleration]]&lt;br /&gt;
*[[Momentum with respect to external Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Iterative Prediction with a Constant Force=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Newton’s Second Law of Motion]]&lt;br /&gt;
*[[Iterative Prediction]]&lt;br /&gt;
*[[Kinematics]]&lt;br /&gt;
*[[Newton’s Laws and Linear Momentum]]&lt;br /&gt;
*[[Projectile Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:scalars_and_vectors Scalars and Vectors]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:displacement_and_velocity Displacement and Velocity]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:modeling_with_vpython Modeling Motion with VPython]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:relative_motion Relative Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:graphing_motion Graphing Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:momentum Momentum]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:momentum_principle The Momentum Principle]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:acceleration Acceleration &amp;amp; The Change in Momentum]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:motionPredict Applying the Momentum Principle]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:constantF Constant Force Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:iterativePredict Iterative Prediction of Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:mp_multi The Momentum Principle in Multi-particle Systems]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:angular_motivation Why Angular Momentum?]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ang_momentum Angular Momentum]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque &amp;amp; The Angular Momentum Principle]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_conservation Angular Momentum Conservation]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Analytic Prediction with a Constant Force=====&lt;br /&gt;
&amp;lt;div \&lt;br /&gt;
class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Analytical Prediction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Iterative Prediction with a Varying Force=====&lt;br /&gt;
&amp;lt;div \&lt;br /&gt;
class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Predicting Change in multiple dimensions]]&lt;br /&gt;
*[[Spring Force]]&lt;br /&gt;
*[[Hooke’s Law]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
*[[Iterative Prediction of Spring-Mass System]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:drag Drag]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ucm Uniform Circular Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:impulseGraphs Impulse Graphs]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:springMotion Non-constant Force: Springs &amp;amp; Spring-like Interactions]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:friction Contact Interactions: The Normal Force &amp;amp; Friction]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Fundamental Interactions=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Conservation of Momentum=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Conservation of Momentum]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=====Properties of Matter=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
**[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
*[[Young’s Modulus]]&lt;br /&gt;
*[[Speed of Sound in Solids]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Ductility]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Hardness]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:model_of_a_wire Modeling a Solid Wire: springs in series and parallel]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Identifying Forces=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
*[[Tension]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Curving Motion=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Curving Motion]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:gravitation Non-constant Force: Newtonian Gravitation]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_accel Gravitational Acceleration]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ucm Uniform Circular Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:freebodydiagrams Free Body Diagrams]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:curving_motion Curved Motion]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Energy Principle=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Work]]&lt;br /&gt;
*[[Power (Mechanical)]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:define_energy What is Energy?]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:point_particle The Simplest System: A Single Particle]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:work Work: Mechanical Energy Transfer]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_cons Conservation of Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:potential_energy Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:force_and_PE Force and Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Work by Non-Constant Forces=====&lt;br /&gt;
&amp;lt;div \&lt;br /&gt;
class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Work Done By A Nonconstant Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Potential Energy=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Potential Energy of Macroscopic Springs]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
**[[Ball and Spring Model]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Escape Velocity]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:work_by_nc_forces Work Done by Non-Constant Forces]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:potential_energy Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rest_mass Changes of Rest Mass Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:force_and_PE Force and Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_pe_graphs Graphing Energy for Gravitationally Interacting Systems]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:power Power: The Rate of Energy Change]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Multiparticle Systems=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Multi-particle analysis of Momentum]]&lt;br /&gt;
*[[Momentum with respect to external Forces]]&lt;br /&gt;
*[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:mp_multi The Momentum Principle in Multi-particle Systems]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_sep Separating Energy in Multi-Particle Systems]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Choice of System=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[System &amp;amp; Surroundings]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Thermal Energy, Dissipation and Transfer of Energy=====&lt;br /&gt;
&amp;lt;div \&lt;br /&gt;
class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Heat Capacity]]&lt;br /&gt;
*[[Specific Heat Capacity]]&lt;br /&gt;
*[[First Law of Thermodynamics]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Temperature]]&lt;br /&gt;
*[[Predicting Change]]&lt;br /&gt;
*[[Energy Transfer due to a Temperature Difference]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Rotational and Vibrational Energy=====&lt;br /&gt;
&amp;lt;div \&lt;br /&gt;
class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_and_spring_PE (Near Earth) Gravitational and Spring Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rest_mass Changes of Rest Mass Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:newton_grav_pe Newtonian Gravitational Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:grav_pe_graphs Graphing Energy for Gravitationally Interacting Systems]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:escape_speed Escape Speed]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:spring_PE Spring Potential Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:internal_energy Internal Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:system_choice Choosing a System Matters]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Different Models of a System=====&lt;br /&gt;
&amp;lt;div \&lt;br /&gt;
class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=====Models of Friction=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Friction]]&lt;br /&gt;
*[[Static Friction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:system_choice Choosing a System Matters]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:energy_dissipation Dissipation of Energy]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Collisions=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Newton’s Third Law of Motion]]&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Scattering: Collisions in 2D and 3D]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:collisions Colliding Objects]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:center_of_mass Center of Mass Motion]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rot_KE Rotational Kinetic Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:pp_vs_real Point Particle and Real Systems]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:colliding_systems Collisions]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours \&lt;br /&gt;
mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Rotations=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Rotation]]&lt;br /&gt;
*[[Angular Velocity]]&lt;br /&gt;
*[[Eulerian Angles]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible mw-collapsed”&amp;gt;&lt;br /&gt;
=====Angular Momentum=====&lt;br /&gt;
&amp;lt;div class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Total Angular Momentum]]&lt;br /&gt;
*[[Translational Angular Momentum]]&lt;br /&gt;
*[[Rotational Angular Momentum]]&lt;br /&gt;
*[[The Angular Momentum Principle]]&lt;br /&gt;
*[[Angular Momentum Compared to Linear Momentum]]&lt;br /&gt;
*[[Angular Impulse]]&lt;br /&gt;
*[[Predicting the Position of a Rotating System]]&lt;br /&gt;
*[[Angular Momentum of Multiparticle Systems]]&lt;br /&gt;
*[[The Moments of Inertia]]&lt;br /&gt;
*[[Moment of Inertia for a cylinder]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:rot_KE Rotational Kinetic Energy]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:angular_motivation Why Angular Momentum?]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:ang_momentum Angular Momentum]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque &amp;amp; The Angular Momentum Principle]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_conservation Angular Momentum Conservation]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
===Week 14===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
=====Analyzing Motion with and without Torque=====&lt;br /&gt;
&amp;lt;div \&lt;br /&gt;
class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Torque]]&lt;br /&gt;
*[[Torque 2]]&lt;br /&gt;
*[[Systems with Zero Torque]]&lt;br /&gt;
*[[Systems with Nonzero Torque]]&lt;br /&gt;
*[[Torque vs Work]]&lt;br /&gt;
*[[Gyroscopes]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:discovery_of_the_nucleus Discovery of the Nucleus]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:torque Torques Cause Changes in Rotation]&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:L_principle Net Torque &amp;amp; The Angular Momentum Principle]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====Student Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
=====Introduction to Quantum Concepts=====&lt;br /&gt;
&amp;lt;div \class=“mw-collapsible-content”&amp;gt;&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====Expert Content====&lt;br /&gt;
&amp;lt;div class=“toccolours mw-collapsible \&lt;br /&gt;
mw-collapsed”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [http://p3server.pa.msu.edu/coursewiki/doku.php?id=183_notes:discovery_of_the_nucleus Discovery of the Nucleus]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=“float:left; width:30%; padding:1%;”&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 2==&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====3D Vectors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Vectors]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Right Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
*[[Electric Force]] Claimed by Amarachi Eze&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====Electric field of a point particle====&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Point Charge]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Bold text&#039;&#039;&#039;====Superposition====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superposition Principle]]&lt;br /&gt;
*[[Superposition principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
Claimed by Trevor Craport &lt;br /&gt;
*[[Electric Dipole]]&lt;br /&gt;
*[[Magnetic Dipole]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Interactions of charged objects====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Tape experiments====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Polarization====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Polarization of an Atom]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Insulators====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Insulators]]&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
*[[Charged Conductor and Charged Insulator]]&lt;br /&gt;
*[[Charged conductor and charged insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Conductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Conductivity]]&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Resistivity]]&lt;br /&gt;
*[[Polarization of a conductor]]&lt;br /&gt;
*[[Charged Conductor and Charged Insulator]]&lt;br /&gt;
*[[Charged conductor and charged insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Charging and discharging====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Electrostatic Discharge]]&lt;br /&gt;
*[[Charged Conductor and Charged Insulator]]&lt;br /&gt;
*[[Charged conductor and charged insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Field of a charged rod====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Rod]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Field of a charged ring/disk/capacitor====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Ring]]&lt;br /&gt;
*[[Charged Disk]]&lt;br /&gt;
*[[Charged Capacitor]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Field of a charged sphere====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charged Spherical Shell]]&lt;br /&gt;
*[[Field of a Charged Ball]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Potential energy====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential DIfference Path Independence]]&lt;br /&gt;
*[[Potential Difference in a Uniform Field]]&lt;br /&gt;
*[[Potential Difference of Point Charge in a Non-Uniform Field]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sign of a potential difference====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sign of Potential Difference, claimed by Tyler Quill]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Claimed by Tyler Quill ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Potential at a single location====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Potential Difference at One Location]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Path independence and round trip potential====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
*[[Potential DIfference Path Independence]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in an insulator====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Potential Difference in an Insulator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Moving charges in a magnetic field====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Biot-Savart Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Biot-Savart Law]]&lt;br /&gt;
*[[Biot-Savart Law for Currents]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Moving charges, electron current, and conventional current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Moving Point Charge]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
*[[Conventional Current]]*&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a wire====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic field of a current-carrying loop====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Field of a Loop]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic dipoles====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Dipole Moment]]&lt;br /&gt;
*[[Bar Magnet]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Atomic structure of magnets====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Atomic Structure of Magnets]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Steady state current====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Node rule====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric fields and energy in circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Series circuit]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Macroscopic analysis of circuits====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel CIrcuits]]&lt;br /&gt;
*[[Parallel Circuits vs. Series Circuits*]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric field and potential in circuits with capacitors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[RC Circuit]]&lt;br /&gt;
*[[R Circuit]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic forces on charges and currents====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Applying Magnetic Force to Currents]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Electric and magnetic forces====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Velocity selector====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Hall effect====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Hall Effect]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Motional EMF====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Motional Emf]]&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic force====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Force]]&lt;br /&gt;
*[[Lorentz Force]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Magnetic torque====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Magnetic Torque]]&lt;br /&gt;
*[[Right-Hand Rule]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Gauss&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Flux Theorem]]&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
====Ampere&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
*[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Long Thick Wire Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Toroid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Magnetic Field of a Solenoid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[The Differential Form of Ampere&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Semiconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Semiconductor Devices]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Faraday&#039;s Law====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Lenz&#039;s Law]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Maxwell&#039;s equations====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Law]]&lt;br /&gt;
*[[Magnetic Flux]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Circuits revisited====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Inductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Inductors]]&lt;br /&gt;
*[[Current in an LC Circuit]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 15===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Sparks in the air====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Sparks in Air]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Superconductors====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Superconducters]]&lt;br /&gt;
*[[Superconductors]]&lt;br /&gt;
*[[Meissner effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:left; width:30%; padding:1%;&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Physics 3==&lt;br /&gt;
&lt;br /&gt;
===Week 1===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Classical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 2===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Special Relativity====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Time Dilation]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Albert A. Micheleson &amp;amp; Edward W. Morley]]&lt;br /&gt;
*[[Magnetic Force in a Moving Reference Frame]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 3===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Photons====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Light Scattering: Why is the Sky Blue]]&lt;br /&gt;
*[[Lasers]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Quantum Properties of Light]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 4===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Matter Waves====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 5===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Wave Mechanics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Standing Waves]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Wavelength and Frequency]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 6===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Rutherford-Bohr Model====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Energy graphs and the Bohr model]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 7===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Hydrogen Atom====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 8===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Many-Electron Atoms====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Pauli exclusion principle]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 9===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Molecules====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 10===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Statistical Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 11===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Condensed Matter Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 12===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====The Nucleus====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 13===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Nuclear Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Nuclear Fission]]&lt;br /&gt;
*[[Nuclear Energy from Fission and Fusion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Week 14===&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
====Particle Physics====&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2867</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2867"/>
		<updated>2015-11-29T02:21:39Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  (Chabay)&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title](Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section (Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
As stated before, the forces acting on the point particle are equal in magnitude and direction to the real system. However, the is one key difference is the displacement of the applied force.(Chabay)&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;9.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]]([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2865</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2865"/>
		<updated>2015-11-29T02:15:51Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  (Chabay)&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title](Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section (Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
As stated before, the forces acting on the point particle are equal in magnitude and direction to the real system. However, the is one key difference is the displacement of the applied force.(Chabay)&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]]([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2863</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2863"/>
		<updated>2015-11-29T02:15:25Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  (Chabay)&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title](Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section (Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
As stated before, the forces acting on the point particle are equal in magnitude and direction to the real system. However, the is one key difference is the displacement of the applied force.(Chabay)&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
 ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2861</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2861"/>
		<updated>2015-11-29T02:14:37Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Step 1: Solve for Point Particle System */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  (Chabay)&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title](Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section (Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
As stated before, the forces acting on the point particle are equal in magnitude and direction to the real system. However, the is one key difference is the displacement of the applied force.(Chabay)&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2860</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2860"/>
		<updated>2015-11-29T02:14:11Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* The Problem */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  (Chabay)&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title](Chabay)&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
As stated before, the forces acting on the point particle are equal in magnitude and direction to the real system. However, the is one key difference is the displacement of the applied force.(Chabay)&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2859</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2859"/>
		<updated>2015-11-29T02:13:21Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* The Main Idea */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  (Chabay)&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
As stated before, the forces acting on the point particle are equal in magnitude and direction to the real system. However, the is one key difference is the displacement of the applied force.(Chabay)&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2854</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2854"/>
		<updated>2015-11-29T02:07:45Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Step Two: Solve for Real System */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
As stated before, the forces acting on the point particle are equal in magnitude and direction to the real system. However, the is one key difference is the displacement of the applied force.(Chabay)&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2853</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2853"/>
		<updated>2015-11-29T02:06:52Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Step Two: Solve for Real System */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
 As stated before, the forces acting on the point particle are equal in magnitude and direction to the real system. However, the is one key difference is the displacement of the applied force.&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2851</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2851"/>
		<updated>2015-11-29T02:05:01Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Biochem.png&amp;diff=2850</id>
		<title>File:Biochem.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Biochem.png&amp;diff=2850"/>
		<updated>2015-11-29T02:04:08Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2809</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2809"/>
		<updated>2015-11-29T00:30:41Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* See also */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2808</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2808"/>
		<updated>2015-11-29T00:28:21Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* See also */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
[http://www.physicsbook.gatech.edu/Point_Particle_Systems]== See also ==&lt;br /&gt;
&lt;br /&gt;
http://www.physicsbook.gatech.edu/Point_Particle_Systems&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2807</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2807"/>
		<updated>2015-11-29T00:27:52Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* See also */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
http://www.physicsbook.gatech.edu/Point_Particle_Systems&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2806</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2806"/>
		<updated>2015-11-29T00:27:15Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* See also */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[Point Particle System]&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2805</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2805"/>
		<updated>2015-11-29T00:26:52Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* External links */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Point Particle System&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2804</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2804"/>
		<updated>2015-11-29T00:26:08Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]  &lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]][http://www.example.com link title]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Point Particle System&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
[[File:http://www.physicsbook.gatech.edu/Point_Particle_Systems]]&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Chabay, Ruth W., and Bruce A. Sherwood. &amp;quot;10.&amp;quot; &amp;lt;i&amp;gt;Matter &amp;amp;amp; Interactions&amp;lt;/i&amp;gt;. N.p.: n.p., n.d. N. pag. Print.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Wiki Commons Picture&lt;br /&gt;
--[[User:Nfortingo3|Nfortingo3]] ([[User talk:Nfortingo3|talk]]) 19:26, 28 November 2015 (EST)&lt;br /&gt;
&lt;br /&gt;
[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2793</id>
		<title>Real Systems</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Real_Systems&amp;diff=2793"/>
		<updated>2015-11-29T00:14:22Z</updated>

		<summary type="html">&lt;p&gt;Nfortingo3: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This topic has been claimed by nfortingo3&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
The main idea of this topic is to examine the interactions on the real system and differentiate it from a point particle system.&lt;br /&gt;
&lt;br /&gt;
[[File:PP vs Real.png]]&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The mathematical equations for these types of systems can vary, depending on what his happening within and on the system. However, typically there will always be  some form of tranlational kinetic energy becasue the objects, or objects involved will move in some way displacing and conserving energy.  The principle that will be used in real systems is the energy principle : &lt;br /&gt;
&lt;br /&gt;
[[File:EnergyPrinEqn.png]]&lt;br /&gt;
&lt;br /&gt;
where &#039;&#039;&#039;E&#039;&#039;&#039; is the total energy of the system and &#039;&#039;&#039;W&#039;&#039;&#039; is the net work done  from the surroundings. The sum of all the total energies in the system is the sum of the all the external forces(F) over a certain distance(d) within the system(Work). This is know as the Work done on the system. So the energy principles demonstrates that the energy of the system is equal to the work done by the system.&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
This is an example to differentiate between solving for both the point particle and real system&lt;br /&gt;
===The Problem===&lt;br /&gt;
[[File:Simple.png]]&lt;br /&gt;
&lt;br /&gt;
===Step 1: Solve for Point Particle System===&lt;br /&gt;
&lt;br /&gt;
[[File:Middling.png]]&lt;br /&gt;
&lt;br /&gt;
[[File:Simple Part Two.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this part of the problem, when it the point particle is the only thing in the system, the only thing that can be solved for is the translational kinetic energy. Since there is only one thing in the system, there is no potential energy involved and the only thing the particle can do it move or translate. The forces acting on the point particle are equal in &#039;&#039;&#039;magnitude&#039;&#039;&#039; and &#039;&#039;&#039;direction&#039;&#039;&#039; to the real system. However,  their is one key difference discussed in the next section&lt;br /&gt;
&lt;br /&gt;
===Step Two: Solve for Real System===&lt;br /&gt;
[[File:Difficult.png]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
#This topic interest me because from one single particle you can mathematically determine the other form of energy that can occur in various physical interaction. In addition, being able to take a large complex interactions whether springs, gravitational potential or rotational energies are involved, you can solve and break down the interactions&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
#This topic is not directly connected to my major, but the underlying ideas connect very closely to my major. By first looking at a point particle we have a starting point to looking and breaking down a complex system. As a biochemist there are large complex biological systems that I will encounter in my studies.  &lt;br /&gt;
&lt;br /&gt;
[[File:Biochem.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
While I may not be able to break everything down to one single point, starting off with the simplest path way to understand and comprehend the largest and most complex systems is  a similar method to my topic. Like with real and Point particle systems, you start off with a simple point so that one part of the interaction can be understood, from there the rest of the system can be dissected and other interactions  can be solved for. With biochemical system, understanding one path, than moving from their to larger paths will help you understand the whole system.&lt;br /&gt;
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Is there an interesting industrial application?&lt;br /&gt;
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#I do not really know if their is a physical industrial application that can be seen from looking at real and Point particle systems. However, the methodology and thought process behind looking at a real system can be applied to many problem solving situations.&lt;br /&gt;
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== See also ==&lt;br /&gt;
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Point Particle System&lt;br /&gt;
===Further reading===&lt;br /&gt;
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Books, Articles or other print media on this topic&lt;br /&gt;
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===External links===&lt;br /&gt;
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Internet resources on this topic&lt;br /&gt;
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==References==&lt;br /&gt;
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Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 10&lt;br /&gt;
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Wiki Commons Picture&lt;br /&gt;
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[[Category:Energy]]&lt;/div&gt;</summary>
		<author><name>Nfortingo3</name></author>
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