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	<updated>2026-04-29T05:44:53Z</updated>
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	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26823</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26823"/>
		<updated>2016-11-28T04:45:26Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Polarization, used broadly, is the act of dividing into opposites. Electric polarization is the process of separating opposite charges inside an object. This occurs when an electric field, let&#039;s say created by a charged object A, induces the electrons to move in object B. This electron movement causes one portion of object B to have an excess negative charge and the other to have an excess positive charge. Object B could be a neutral object with a net charge of zero, but can still be polarized and attracted to object A. If A were positively charged, the electrons in object B would be attracted to the side closest to A (since opposite charges attract) which would create an induced dipole. This dipole is not permanent; if object A were to be removed, B would return to its neutral state. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
The cause of polarization can be found when the structure of an atom is closely examined. Atoms have a positively charged nucleus consisting of protons and neutrons tightly clumped together. Surrounding this nucleus is a negatively charged electron cloud which is not rigidly connected to the nucleus. Since the negative electron cloud does not have to be centered at its corresponding positive nucleus, if an electric field is applied on the atom, the two opposite charges can move relative to one another. This applied electric field induced the polarization of atoms.&lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Conductors are materials that allow electric charge to pass through it since it contains freely moving charged particles. When an electric field is applied to a conductor, electrons are transferred across the surface of the object and it becomes polarized. &lt;br /&gt;
An insulator is a material that does not conduct very much electric charge because all the electrons are rigidly bound to the atoms or molecules; they do not permit the free flow of electrons. When an insulator is subjected to an electric field, individual atoms or molecules are polarized rather than the whole object. &lt;br /&gt;
&lt;br /&gt;
An example of a polarized insulator:&lt;br /&gt;
&lt;br /&gt;
[[File:Screen_Shot_2016-11-27_at_10.52.28_PM.png]]&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Neutral objects (with a net charge of zero) CAN be attracted to charged ones because induced dipoles are formed and create an electric field at the location of the object. However, repulsion of an induced object cannot happen as it always brings unlike signs closer.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
The amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
Applied electric field is equal to: &lt;br /&gt;
[[File:Electricfieldet.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: A positively charged object is placed near a neutral atom. Draw the polarization of the atom. &lt;br /&gt;
&lt;br /&gt;
[[File:etpolarizedatom.png]]&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A negatively charged object is placed above a metal sphere in equilibrium. Draw the polarization of the sphere. &lt;br /&gt;
&lt;br /&gt;
[[File:etplasticsphere.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: A negatively charged metal object is placed in a region with an electric field going in the +y direction. Draw the polarization of the object. &lt;br /&gt;
&lt;br /&gt;
[[File:etmetalblock.png]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Electric polarization is a key component of insulators and conductors. These materials and their uses are incredibly important for every day life. For example, lightbulb filaments are conductors which carry electrons from a negatively charged area to a positively charged area. Insulators, which don&#039;t conduct electric charges, can be used to insulate buildings. This is related to my major of study, environmental engineering, because we work to make buildings more sustainable by reducing the amount of energy required to keep them running.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26752</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26752"/>
		<updated>2016-11-28T04:30:51Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Middling */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Polarization, used broadly, is the act of dividing into opposites. Electric polarization is the process of separating opposite charges inside an object. This occurs when an electric field, let&#039;s say created by a charged object A, induces the electrons to move in object B. This electron movement causes one portion of object B to have an excess negative charge and the other to have an excess positive charge. Object B could be a neutral object with a net charge of zero, but can still be polarized and attracted to object A. If A were positively charged, the electrons in object B would be attracted to the side closest to A (since opposite charges attract) which would create an induced dipole. This dipole is not permanent; if object A were to be removed, B would return to its neutral state. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
The cause of polarization can be found when the structure of an atom is closely examined. Atoms have a positively charged nucleus consisting of protons and neutrons tightly clumped together. Surrounding this nucleus is a negatively charged electron cloud which is not rigidly connected to the nucleus. Since the negative electron cloud does not have to be centered at its corresponding positive nucleus, if an electric field is applied on the atom, the two opposite charges can move relative to one another. This applied electric field induced the polarization of atoms.&lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Conductors are materials that allow electric charge to pass through it since it contains freely moving charged particles. When an electric field is applied to a conductor, electrons are transferred across the surface of the object and it becomes polarized. &lt;br /&gt;
An insulator is a material that does not conduct very much electric charge because all the electrons are rigidly bound to the atoms or molecules; they do not permit the free flow of electrons. When an insulator is subjected to an electric field, individual atoms or molecules are polarized rather than the whole object. &lt;br /&gt;
&lt;br /&gt;
An example of a polarized insulator:&lt;br /&gt;
&lt;br /&gt;
[[File:Screen_Shot_2016-11-27_at_10.52.28_PM.png]]&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Neutral objects (with a net charge of zero) CAN be attracted to charged ones because induced dipoles are formed and create an electric field at the location of the object. However, repulsion of an induced object cannot happen as it always brings unlike signs closer.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
The amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
Applied electric field is equal to: &lt;br /&gt;
[[File:Electricfieldet.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: A positively charged object is placed near a neutral atom. Draw the polarization of the atom. &lt;br /&gt;
&lt;br /&gt;
[[File:etpolarizedatom.png]]&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A negatively charged object is placed above a metal sphere in equilibrium. Draw the polarization of the sphere. &lt;br /&gt;
&lt;br /&gt;
[[File:etplasticsphere.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: A negatively charged metal object is placed in a region with an electric field going in the +y direction. Draw the polarization of the object. &lt;br /&gt;
&lt;br /&gt;
[[File:etmetalblock.png]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Polarization is one of the main ideas in electricity and occurs whenever there is a charged object near another object.&lt;br /&gt;
Real life applications includes when a balloon sticks to a wall after it is charged. Balloon causes the wall to polarized, and it is attracted to it in the air.&lt;br /&gt;
&lt;br /&gt;
Polarization is connected to my major, mechanical engineering, since using charged object as a material for designing something would require the person to take consideration possible interaction or attraction of the invention with other objects due to polarization.&lt;br /&gt;
&lt;br /&gt;
Polarization is a process that is used for certain charging methods. For example, induction charging is when polarization causes a neutral object to be a induced dipole, and the positive part of it attracts electrons, making the object to be negatively charged.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26750</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26750"/>
		<updated>2016-11-28T04:30:41Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Examples */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Polarization, used broadly, is the act of dividing into opposites. Electric polarization is the process of separating opposite charges inside an object. This occurs when an electric field, let&#039;s say created by a charged object A, induces the electrons to move in object B. This electron movement causes one portion of object B to have an excess negative charge and the other to have an excess positive charge. Object B could be a neutral object with a net charge of zero, but can still be polarized and attracted to object A. If A were positively charged, the electrons in object B would be attracted to the side closest to A (since opposite charges attract) which would create an induced dipole. This dipole is not permanent; if object A were to be removed, B would return to its neutral state. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
The cause of polarization can be found when the structure of an atom is closely examined. Atoms have a positively charged nucleus consisting of protons and neutrons tightly clumped together. Surrounding this nucleus is a negatively charged electron cloud which is not rigidly connected to the nucleus. Since the negative electron cloud does not have to be centered at its corresponding positive nucleus, if an electric field is applied on the atom, the two opposite charges can move relative to one another. This applied electric field induced the polarization of atoms.&lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Conductors are materials that allow electric charge to pass through it since it contains freely moving charged particles. When an electric field is applied to a conductor, electrons are transferred across the surface of the object and it becomes polarized. &lt;br /&gt;
An insulator is a material that does not conduct very much electric charge because all the electrons are rigidly bound to the atoms or molecules; they do not permit the free flow of electrons. When an insulator is subjected to an electric field, individual atoms or molecules are polarized rather than the whole object. &lt;br /&gt;
&lt;br /&gt;
An example of a polarized insulator:&lt;br /&gt;
&lt;br /&gt;
[[File:Screen_Shot_2016-11-27_at_10.52.28_PM.png]]&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Neutral objects (with a net charge of zero) CAN be attracted to charged ones because induced dipoles are formed and create an electric field at the location of the object. However, repulsion of an induced object cannot happen as it always brings unlike signs closer.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
The amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
Applied electric field is equal to: &lt;br /&gt;
[[File:Electricfieldet.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: A positively charged object is placed near a neutral atom. Draw the polarization of the atom. &lt;br /&gt;
&lt;br /&gt;
[[File:etpolarizedatom.png]]&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A negatively charged object is placed above a metal sphere in equilibrium. Draw the polarization of the sphere. &lt;br /&gt;
[[File:etplasticsphere.png]]&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: A negatively charged metal object is placed in a region with an electric field going in the +y direction. Draw the polarization of the object. &lt;br /&gt;
&lt;br /&gt;
[[File:etmetalblock.png]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Polarization is one of the main ideas in electricity and occurs whenever there is a charged object near another object.&lt;br /&gt;
Real life applications includes when a balloon sticks to a wall after it is charged. Balloon causes the wall to polarized, and it is attracted to it in the air.&lt;br /&gt;
&lt;br /&gt;
Polarization is connected to my major, mechanical engineering, since using charged object as a material for designing something would require the person to take consideration possible interaction or attraction of the invention with other objects due to polarization.&lt;br /&gt;
&lt;br /&gt;
Polarization is a process that is used for certain charging methods. For example, induction charging is when polarization causes a neutral object to be a induced dipole, and the positive part of it attracts electrons, making the object to be negatively charged.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Etplasticsphere.png&amp;diff=26748</id>
		<title>File:Etplasticsphere.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Etplasticsphere.png&amp;diff=26748"/>
		<updated>2016-11-28T04:29:47Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Etmetalblock.png&amp;diff=26742</id>
		<title>File:Etmetalblock.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Etmetalblock.png&amp;diff=26742"/>
		<updated>2016-11-28T04:28:44Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Etpolarizedatom.png&amp;diff=26734</id>
		<title>File:Etpolarizedatom.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Etpolarizedatom.png&amp;diff=26734"/>
		<updated>2016-11-28T04:27:21Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26630</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26630"/>
		<updated>2016-11-28T04:01:36Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Mathematical Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Polarization, used broadly, is the act of dividing into opposites. Electric polarization is the process of separating opposite charges inside an object. This occurs when an electric field, let&#039;s say created by a charged object A, induces the electrons to move in object B. This electron movement causes one portion of object B to have an excess negative charge and the other to have an excess positive charge. Object B could be a neutral object with a net charge of zero, but can still be polarized and attracted to object A. If A were positively charged, the electrons in object B would be attracted to the side closest to A (since opposite charges attract) which would create an induced dipole. This dipole is not permanent; if object A were to be removed, B would return to its neutral state. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
The cause of polarization can be found when the structure of an atom is closely examined. Atoms have a positively charged nucleus consisting of protons and neutrons tightly clumped together. Surrounding this nucleus is a negatively charged electron cloud which is not rigidly connected to the nucleus. Since the negative electron cloud does not have to be centered at its corresponding positive nucleus, if an electric field is applied on the atom, the two opposite charges can move relative to one another. This applied electric field induced the polarization of atoms.&lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Conductors are materials that allow electric charge to pass through it since it contains freely moving charged particles. When an electric field is applied to a conductor, electrons are transferred across the surface of the object and it becomes polarized. &lt;br /&gt;
An insulator is a material that does not conduct very much electric charge because all the electrons are rigidly bound to the atoms or molecules; they do not permit the free flow of electrons. When an insulator is subjected to an electric field, individual atoms or molecules are polarized rather than the whole object. &lt;br /&gt;
&lt;br /&gt;
An example of a polarized insulator:&lt;br /&gt;
&lt;br /&gt;
[[File:Screen_Shot_2016-11-27_at_10.52.28_PM.png]]&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Neutral objects (with a net charge of zero) CAN be attracted to charged ones because induced dipoles are formed and create an electric field at the location of the object. However, repulsion of an induced object cannot happen as it always brings unlike signs closer.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
The amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
Applied electric field is equal to: &lt;br /&gt;
[[File:Electricfieldet.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: An electric field is applied to a neutral object by a charged particle near it. After the neutral object is polarized, the particle is removed. What is the charge of the object?&lt;br /&gt;
&lt;br /&gt;
Answer: The object is neutral once again. Polarization is induced by the charged particle; therefore, it is not permanent.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A balloon is rubbed against a person&#039;s hair. The balloon is then placed next to a wall. You observe that the balloon sticks to the wall. How is the cause of this phenomenon?&lt;br /&gt;
&lt;br /&gt;
Answer: The balloon attained electrons from the person&#039;s hair, and when put near the wall, it polarizes the wall so that electrons in the wall move farther away. Then electrons in the balloon are attracted to positively charged surface of the wall.&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: Draw polarization of a plastic block when a negatively charged balloon is placed near it.&lt;br /&gt;
&lt;br /&gt;
Answer: Since a plastic block is an insulator, electrons in the block move small distance from their original location unlike  conductors, in which electrons move freely and move to a surface when polarized.&lt;br /&gt;
&lt;br /&gt;
[[File: Phys.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Polarization is one of the main ideas in electricity and occurs whenever there is a charged object near another object.&lt;br /&gt;
Real life applications includes when a balloon sticks to a wall after it is charged. Balloon causes the wall to polarized, and it is attracted to it in the air.&lt;br /&gt;
&lt;br /&gt;
Polarization is connected to my major, mechanical engineering, since using charged object as a material for designing something would require the person to take consideration possible interaction or attraction of the invention with other objects due to polarization.&lt;br /&gt;
&lt;br /&gt;
Polarization is a process that is used for certain charging methods. For example, induction charging is when polarization causes a neutral object to be a induced dipole, and the positive part of it attracts electrons, making the object to be negatively charged.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Electricfieldet.jpg&amp;diff=26628</id>
		<title>File:Electricfieldet.jpg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Electricfieldet.jpg&amp;diff=26628"/>
		<updated>2016-11-28T04:01:24Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26620</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26620"/>
		<updated>2016-11-28T03:59:09Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Conductors and Insulators */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Polarization, used broadly, is the act of dividing into opposites. Electric polarization is the process of separating opposite charges inside an object. This occurs when an electric field, let&#039;s say created by a charged object A, induces the electrons to move in object B. This electron movement causes one portion of object B to have an excess negative charge and the other to have an excess positive charge. Object B could be a neutral object with a net charge of zero, but can still be polarized and attracted to object A. If A were positively charged, the electrons in object B would be attracted to the side closest to A (since opposite charges attract) which would create an induced dipole. This dipole is not permanent; if object A were to be removed, B would return to its neutral state. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
The cause of polarization can be found when the structure of an atom is closely examined. Atoms have a positively charged nucleus consisting of protons and neutrons tightly clumped together. Surrounding this nucleus is a negatively charged electron cloud which is not rigidly connected to the nucleus. Since the negative electron cloud does not have to be centered at its corresponding positive nucleus, if an electric field is applied on the atom, the two opposite charges can move relative to one another. This applied electric field induced the polarization of atoms.&lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Conductors are materials that allow electric charge to pass through it since it contains freely moving charged particles. When an electric field is applied to a conductor, electrons are transferred across the surface of the object and it becomes polarized. &lt;br /&gt;
An insulator is a material that does not conduct very much electric charge because all the electrons are rigidly bound to the atoms or molecules; they do not permit the free flow of electrons. When an insulator is subjected to an electric field, individual atoms or molecules are polarized rather than the whole object. &lt;br /&gt;
&lt;br /&gt;
An example of a polarized insulator:&lt;br /&gt;
&lt;br /&gt;
[[File:Screen_Shot_2016-11-27_at_10.52.28_PM.png]]&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Neutral objects (with a net charge of zero) CAN be attracted to charged ones because induced dipoles are formed and create an electric field at the location of the object. However, repulsion of an induced object cannot happen as it always brings unlike signs closer.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
The amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: An electric field is applied to a neutral object by a charged particle near it. After the neutral object is polarized, the particle is removed. What is the charge of the object?&lt;br /&gt;
&lt;br /&gt;
Answer: The object is neutral once again. Polarization is induced by the charged particle; therefore, it is not permanent.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A balloon is rubbed against a person&#039;s hair. The balloon is then placed next to a wall. You observe that the balloon sticks to the wall. How is the cause of this phenomenon?&lt;br /&gt;
&lt;br /&gt;
Answer: The balloon attained electrons from the person&#039;s hair, and when put near the wall, it polarizes the wall so that electrons in the wall move farther away. Then electrons in the balloon are attracted to positively charged surface of the wall.&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: Draw polarization of a plastic block when a negatively charged balloon is placed near it.&lt;br /&gt;
&lt;br /&gt;
Answer: Since a plastic block is an insulator, electrons in the block move small distance from their original location unlike  conductors, in which electrons move freely and move to a surface when polarized.&lt;br /&gt;
&lt;br /&gt;
[[File: Phys.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Polarization is one of the main ideas in electricity and occurs whenever there is a charged object near another object.&lt;br /&gt;
Real life applications includes when a balloon sticks to a wall after it is charged. Balloon causes the wall to polarized, and it is attracted to it in the air.&lt;br /&gt;
&lt;br /&gt;
Polarization is connected to my major, mechanical engineering, since using charged object as a material for designing something would require the person to take consideration possible interaction or attraction of the invention with other objects due to polarization.&lt;br /&gt;
&lt;br /&gt;
Polarization is a process that is used for certain charging methods. For example, induction charging is when polarization causes a neutral object to be a induced dipole, and the positive part of it attracts electrons, making the object to be negatively charged.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26619</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26619"/>
		<updated>2016-11-28T03:58:56Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Conductors and Insulators */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Polarization, used broadly, is the act of dividing into opposites. Electric polarization is the process of separating opposite charges inside an object. This occurs when an electric field, let&#039;s say created by a charged object A, induces the electrons to move in object B. This electron movement causes one portion of object B to have an excess negative charge and the other to have an excess positive charge. Object B could be a neutral object with a net charge of zero, but can still be polarized and attracted to object A. If A were positively charged, the electrons in object B would be attracted to the side closest to A (since opposite charges attract) which would create an induced dipole. This dipole is not permanent; if object A were to be removed, B would return to its neutral state. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
The cause of polarization can be found when the structure of an atom is closely examined. Atoms have a positively charged nucleus consisting of protons and neutrons tightly clumped together. Surrounding this nucleus is a negatively charged electron cloud which is not rigidly connected to the nucleus. Since the negative electron cloud does not have to be centered at its corresponding positive nucleus, if an electric field is applied on the atom, the two opposite charges can move relative to one another. This applied electric field induced the polarization of atoms.&lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Conductors are materials that allow electric charge to pass through it since it contains freely moving charged particles. When an electric field is applied to a conductor, electrons are transferred across the surface of the object and it becomes polarized. &lt;br /&gt;
An insulator is a material that does not conduct very much electric charge because all the electrons are rigidly bound to the atoms or molecules; they do not permit the free flow of electrons. When an insulator is subjected to an electric field, individual atoms or molecules are polarized rather than the whole object. &lt;br /&gt;
An example of a polarized insulator:&lt;br /&gt;
[[File:Screen_Shot_2016-11-27_at_10.52.28_PM.png]]&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Neutral objects (with a net charge of zero) CAN be attracted to charged ones because induced dipoles are formed and create an electric field at the location of the object. However, repulsion of an induced object cannot happen as it always brings unlike signs closer.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
The amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: An electric field is applied to a neutral object by a charged particle near it. After the neutral object is polarized, the particle is removed. What is the charge of the object?&lt;br /&gt;
&lt;br /&gt;
Answer: The object is neutral once again. Polarization is induced by the charged particle; therefore, it is not permanent.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A balloon is rubbed against a person&#039;s hair. The balloon is then placed next to a wall. You observe that the balloon sticks to the wall. How is the cause of this phenomenon?&lt;br /&gt;
&lt;br /&gt;
Answer: The balloon attained electrons from the person&#039;s hair, and when put near the wall, it polarizes the wall so that electrons in the wall move farther away. Then electrons in the balloon are attracted to positively charged surface of the wall.&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: Draw polarization of a plastic block when a negatively charged balloon is placed near it.&lt;br /&gt;
&lt;br /&gt;
Answer: Since a plastic block is an insulator, electrons in the block move small distance from their original location unlike  conductors, in which electrons move freely and move to a surface when polarized.&lt;br /&gt;
&lt;br /&gt;
[[File: Phys.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Polarization is one of the main ideas in electricity and occurs whenever there is a charged object near another object.&lt;br /&gt;
Real life applications includes when a balloon sticks to a wall after it is charged. Balloon causes the wall to polarized, and it is attracted to it in the air.&lt;br /&gt;
&lt;br /&gt;
Polarization is connected to my major, mechanical engineering, since using charged object as a material for designing something would require the person to take consideration possible interaction or attraction of the invention with other objects due to polarization.&lt;br /&gt;
&lt;br /&gt;
Polarization is a process that is used for certain charging methods. For example, induction charging is when polarization causes a neutral object to be a induced dipole, and the positive part of it attracts electrons, making the object to be negatively charged.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26610</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=26610"/>
		<updated>2016-11-28T03:57:28Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* The Main Idea */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Polarization, used broadly, is the act of dividing into opposites. Electric polarization is the process of separating opposite charges inside an object. This occurs when an electric field, let&#039;s say created by a charged object A, induces the electrons to move in object B. This electron movement causes one portion of object B to have an excess negative charge and the other to have an excess positive charge. Object B could be a neutral object with a net charge of zero, but can still be polarized and attracted to object A. If A were positively charged, the electrons in object B would be attracted to the side closest to A (since opposite charges attract) which would create an induced dipole. This dipole is not permanent; if object A were to be removed, B would return to its neutral state. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
The cause of polarization can be found when the structure of an atom is closely examined. Atoms have a positively charged nucleus consisting of protons and neutrons tightly clumped together. Surrounding this nucleus is a negatively charged electron cloud which is not rigidly connected to the nucleus. Since the negative electron cloud does not have to be centered at its corresponding positive nucleus, if an electric field is applied on the atom, the two opposite charges can move relative to one another. This applied electric field induced the polarization of atoms.&lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Conductors are materials that allow electric charge to pass through it since it contains freely moving charged particles. When an electric field is applied to a conductor, electrons are transferred across the surface of the object and it becomes polarized. &lt;br /&gt;
An insulator is a material that does not conduct very much electric charge because all the electrons are rigidly bound to the atoms or molecules; they do not permit the free flow of electrons. When an insulator is subjected to an electric field, individual atoms or molecules are polarized rather than the whole object. &lt;br /&gt;
[[File:Screen_Shot_2016-11-27_at_10.52.28_PM.png]]&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Neutral objects (with a net charge of zero) CAN be attracted to charged ones because induced dipoles are formed and create an electric field at the location of the object. However, repulsion of an induced object cannot happen as it always brings unlike signs closer.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
The amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: An electric field is applied to a neutral object by a charged particle near it. After the neutral object is polarized, the particle is removed. What is the charge of the object?&lt;br /&gt;
&lt;br /&gt;
Answer: The object is neutral once again. Polarization is induced by the charged particle; therefore, it is not permanent.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A balloon is rubbed against a person&#039;s hair. The balloon is then placed next to a wall. You observe that the balloon sticks to the wall. How is the cause of this phenomenon?&lt;br /&gt;
&lt;br /&gt;
Answer: The balloon attained electrons from the person&#039;s hair, and when put near the wall, it polarizes the wall so that electrons in the wall move farther away. Then electrons in the balloon are attracted to positively charged surface of the wall.&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: Draw polarization of a plastic block when a negatively charged balloon is placed near it.&lt;br /&gt;
&lt;br /&gt;
Answer: Since a plastic block is an insulator, electrons in the block move small distance from their original location unlike  conductors, in which electrons move freely and move to a surface when polarized.&lt;br /&gt;
&lt;br /&gt;
[[File: Phys.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Polarization is one of the main ideas in electricity and occurs whenever there is a charged object near another object.&lt;br /&gt;
Real life applications includes when a balloon sticks to a wall after it is charged. Balloon causes the wall to polarized, and it is attracted to it in the air.&lt;br /&gt;
&lt;br /&gt;
Polarization is connected to my major, mechanical engineering, since using charged object as a material for designing something would require the person to take consideration possible interaction or attraction of the invention with other objects due to polarization.&lt;br /&gt;
&lt;br /&gt;
Polarization is a process that is used for certain charging methods. For example, induction charging is when polarization causes a neutral object to be a induced dipole, and the positive part of it attracts electrons, making the object to be negatively charged.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Screen_Shot_2016-11-27_at_10.52.28_PM.png&amp;diff=26598</id>
		<title>File:Screen Shot 2016-11-27 at 10.52.28 PM.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Screen_Shot_2016-11-27_at_10.52.28_PM.png&amp;diff=26598"/>
		<updated>2016-11-28T03:56:29Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Ethomasinsulator.png&amp;diff=24232</id>
		<title>File:Ethomasinsulator.png</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Ethomasinsulator.png&amp;diff=24232"/>
		<updated>2016-11-26T17:00:54Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Insulator.jpg&amp;diff=24231</id>
		<title>File:Insulator.jpg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Insulator.jpg&amp;diff=24231"/>
		<updated>2016-11-26T16:58:44Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=24227</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=24227"/>
		<updated>2016-11-26T16:42:43Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Cause of Polarization */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Electric polarization is the process of inducing an object to separate charges inside it. One portion of the object would be mostly positive charges and the other portion would be mostly negative. &lt;br /&gt;
&lt;br /&gt;
When an object is charged, either positively or negatively, it is attracted to another object through polarization. Even if the net charge of the second object is zero, it would still be attracted to the first object. Although the neutral object initially does not make an electric field that attracts or repels the charged object, the charged object affects the neutral object to be an induced dipole. However, this dipole is not permanent. If the charged object is removed, there would be no electric field applied and no polarization. The induced dipole will go back to being a neutral object. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
The cause of polarization can be found when the structure of an atom is closely examined. Atoms have a positively charged nucleus consisting of protons and neutrons tightly clumped together. Surrounding this nucleus is a negatively charged electron cloud which is not rigidly connected to the nucleus. Since the negative electron cloud does not have to be centered at its corresponding positive nucleus, if an electric field is applied on the atom, the two opposite charges can move relative to one another. This applied electric field induced the polarization of atoms.&lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Polarization for insulators occurs in a different manner from conductors. When a conductor is polarized, electrons move across the surface of one side of the conductor to the other side. Unlike conductors, in insulators, electrons are not able to freely move around. Thus, individual molecules in the insulators are polarized, but electrons move only small distance compared to the case in conductors, so the charges are not on the surface of the object. Excess charges on conductors can only exist on the surface, while they exist anywhere on or inside insulators.&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Polarization is a different idea from charging or discharging. While polarization causes a separation of charges in an object, it does not cause imbalance of charges, which forms a charged object. Polarization still maintains an equal number of protons and electrons in an object. Therefore charging is a different discussion from polarization.&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
This equation shows that the amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: An electric field is applied to a neutral object by a charged particle near it. After the neutral object is polarized, the particle is removed. What is the charge of the object?&lt;br /&gt;
&lt;br /&gt;
Answer: The object is neutral once again. Polarization is induced by the charged particle; therefore, it is not permanent.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A balloon is rubbed against a person&#039;s hair. The balloon is then placed next to a wall. You observe that the balloon sticks to the wall. How is the cause of this phenomenon?&lt;br /&gt;
&lt;br /&gt;
Answer: The balloon attained electrons from the person&#039;s hair, and when put near the wall, it polarizes the wall so that electrons in the wall move farther away. Then electrons in the balloon are attracted to positively charged surface of the wall.&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: Draw polarization of a plastic block when a negatively charged balloon is placed near it.&lt;br /&gt;
&lt;br /&gt;
Answer: Since a plastic block is an insulator, electrons in the block move small distance from their original location unlike  conductors, in which electrons move freely and move to a surface when polarized.&lt;br /&gt;
&lt;br /&gt;
[[File: Phys.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Polarization is one of the main ideas in electricity and occurs whenever there is a charged object near another object.&lt;br /&gt;
Real life applications includes when a balloon sticks to a wall after it is charged. Balloon causes the wall to polarized, and it is attracted to it in the air.&lt;br /&gt;
&lt;br /&gt;
Polarization is connected to my major, mechanical engineering, since using charged object as a material for designing something would require the person to take consideration possible interaction or attraction of the invention with other objects due to polarization.&lt;br /&gt;
&lt;br /&gt;
Polarization is a process that is used for certain charging methods. For example, induction charging is when polarization causes a neutral object to be a induced dipole, and the positive part of it attracts electrons, making the object to be negatively charged.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=23460</id>
		<title>Electric Polarization</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Electric_Polarization&amp;diff=23460"/>
		<updated>2016-10-31T20:08:33Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;Claimed Edit by Eleanor Thomas Fall 2016&#039;&#039;&lt;br /&gt;
== The Main Idea ==&lt;br /&gt;
&lt;br /&gt;
Electric polarization is the process of inducing an object to separate charges inside it. One portion of the object would be mostly positive charges and the other portion would be mostly negative. &lt;br /&gt;
&lt;br /&gt;
When an object is charged, either positively or negatively, it is attracted to another object through polarization. Even if the net charge of the second object is zero, it would still be attracted to the first object. Although the neutral object initially does not make an electric field that attracts or repels the charged object, the charged object affects the neutral object to be an induced dipole. However, this dipole is not permanent. If the charged object is removed, there would be no electric field applied and no polarization. The induced dipole will go back to being a neutral object. &lt;br /&gt;
&lt;br /&gt;
=== Cause of Polarization ===&lt;br /&gt;
Structure of atom explains polarization. Protons in an atom are in the nucleus, and they are tightly bound. However, electrons located in the electron cloud of an atom are loosely bound compared to the protons. Therefore, the electrons can be induced to move to one side of the atom, and this phenomenon causes polarization of the atom, making it to be an induced dipole. &lt;br /&gt;
&lt;br /&gt;
=== Conductors and Insulators ===&lt;br /&gt;
Polarization for insulators occurs in a different manner from conductors. When a conductor is polarized, electrons move across the surface of one side of the conductor to the other side. Unlike conductors, in insulators, electrons are not able to freely move around. Thus, individual molecules in the insulators are polarized, but electrons move only small distance compared to the case in conductors, so the charges are not on the surface of the object. Excess charges on conductors can only exist on the surface, while they exist anywhere on or inside insulators.&lt;br /&gt;
&lt;br /&gt;
=== Misconception ===&lt;br /&gt;
Polarization is a different idea from charging or discharging. While polarization causes a separation of charges in an object, it does not cause imbalance of charges, which forms a charged object. Polarization still maintains an equal number of protons and electrons in an object. Therefore charging is a different discussion from polarization.&lt;br /&gt;
&lt;br /&gt;
=== Mathematical Model ===&lt;br /&gt;
&lt;br /&gt;
Induced Polarization :  &amp;lt;math&amp;gt;\vec{P} = \alpha \vec{E}&amp;lt;/math&amp;gt; &lt;br /&gt;
&amp;quot;P&amp;quot; is the dipole moment of polarized atoms, &amp;quot;α&amp;quot; is the polarizability of a particular material, and &amp;quot;E&amp;quot; is the applied electric field.&lt;br /&gt;
This equation shows that the amount of induced polarization is directly proportional to the magnitude of the applied electric field.&lt;br /&gt;
&lt;br /&gt;
== Examples ==&lt;br /&gt;
===Simple===&lt;br /&gt;
Question: An electric field is applied to a neutral object by a charged particle near it. After the neutral object is polarized, the particle is removed. What is the charge of the object?&lt;br /&gt;
&lt;br /&gt;
Answer: The object is neutral once again. Polarization is induced by the charged particle; therefore, it is not permanent.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
Question: A balloon is rubbed against a person&#039;s hair. The balloon is then placed next to a wall. You observe that the balloon sticks to the wall. How is the cause of this phenomenon?&lt;br /&gt;
&lt;br /&gt;
Answer: The balloon attained electrons from the person&#039;s hair, and when put near the wall, it polarizes the wall so that electrons in the wall move farther away. Then electrons in the balloon are attracted to positively charged surface of the wall.&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
Question: Draw polarization of a plastic block when a negatively charged balloon is placed near it.&lt;br /&gt;
&lt;br /&gt;
Answer: Since a plastic block is an insulator, electrons in the block move small distance from their original location unlike  conductors, in which electrons move freely and move to a surface when polarized.&lt;br /&gt;
&lt;br /&gt;
[[File: Phys.jpg]]&lt;br /&gt;
&lt;br /&gt;
== Connectedness ==&lt;br /&gt;
Polarization is one of the main ideas in electricity and occurs whenever there is a charged object near another object.&lt;br /&gt;
Real life applications includes when a balloon sticks to a wall after it is charged. Balloon causes the wall to polarized, and it is attracted to it in the air.&lt;br /&gt;
&lt;br /&gt;
Polarization is connected to my major, mechanical engineering, since using charged object as a material for designing something would require the person to take consideration possible interaction or attraction of the invention with other objects due to polarization.&lt;br /&gt;
&lt;br /&gt;
Polarization is a process that is used for certain charging methods. For example, induction charging is when polarization causes a neutral object to be a induced dipole, and the positive part of it attracts electrons, making the object to be negatively charged.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
Benjamin Franklin was the first person to use &amp;quot;positive&amp;quot; and &amp;quot;negative&amp;quot; in describing charges and came up with principle of conservation of charges. In 1897, J.J. Thomson experimented with cathode rays and found out that electrons exist in the rays. In 1911, Ernest Rutherford discovered that atoms have a concentrated positive center with protons fixed inside nucleus.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
&lt;br /&gt;
*[[Electric Field]]&lt;br /&gt;
&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
&lt;br /&gt;
=== Further Reading ===&lt;br /&gt;
Physics of Dielectrics for the Engineer by Roland Coelho&lt;br /&gt;
&lt;br /&gt;
==== Application ====&lt;br /&gt;
http://www.nrcresearchpress.com/doi/abs/10.1139/t89-067?journalCode=cgj#.VmFE97mFPIU&lt;br /&gt;
&lt;br /&gt;
=== External Links ===&lt;br /&gt;
https://courses.cit.cornell.edu/ece303/Lectures/lecture7.pdf&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=3xSIA5UVAo8&lt;br /&gt;
&lt;br /&gt;
http://scienceline.ucsb.edu/getkey.php?key=408&lt;br /&gt;
&lt;br /&gt;
https://www.aip.org/history/gap/Franklin/Franklin.html&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Fourth Edition by Ruth W. Chabay, Bruce A. Sherwood&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12927</id>
		<title>Pythagoras of Samos</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12927"/>
		<updated>2015-12-05T00:16:40Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Mathematical Contributions */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Pythagoras of Samos ==&lt;br /&gt;
by Eleanor Thomas&lt;br /&gt;
&lt;br /&gt;
Pythagoras of Samos is considered by many to be the first pure mathematician, as well as a Greek philosopher and scientist. He has played an incremental role in the development of mathematics, yet we have none of his written work. Most of what we know about him today was written after his death, and many of the writings regard him as a god-like figure. This leaves very little reliable information on this mystic mathematician. &lt;br /&gt;
&lt;br /&gt;
===Early Life===&lt;br /&gt;
Pythagoras was born around 596 B.C.E. in Samos where he was well-educated. He was taught by Pherekydes, Thales, and his pupil Anaximander. These philosphers introduced Pythagoras to mathematics including geometry and astronomy. After a tyrant seized control of Samos, Pythagoras travelled to Egypt (around 535 BCE). Here he furthered his knowledge in geometry and religion. He was introduced to many customs by Egyptian priests  such as refusal to eat meat and beans, refusal to wear animal skin, and the strive for purity. He came to adopt these customs and beliefs later in life. In 525 BCE, the Persians invaded Egypt and Pythagoras was taken prisoner to Babylon. While a prisoner of war, he continued to study mathematics, taught now by the Babylonians. How Pythagoras gained his freedom is still unclear, however the death of the king of Persia most likely played a role. Pythagoras returned to Samos and attempted to teach there. His practices were not very welcome, however, so he left again. &lt;br /&gt;
&lt;br /&gt;
===Pythagorean Society===&lt;br /&gt;
Pythagoras left Samos and started a philosophical and religious school in Croton. He was the head of a society with many followers. The inner circle followers were called mathematikoi and lived permanently in the society following many strict rules, including owning no possessions and not eating meat. The outer circle, called the akousmatics, only came to the Society during the day and didn&#039;t have as many rules. Women were allowed to be members of the outer circle, many going on to become famous philosophers. At the school, Pythagoras taught mathematics and his beliefs, the main five being:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(1) that at its deepest level, reality is mathematical in nature,&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(2) that philosophy can be used for spiritual purification,&#039;&#039;&lt;br /&gt;
&#039;&#039;&lt;br /&gt;
(3) that the soul can rise to union with the divine,&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(4) that certain symbols have a mystical significance, and&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(5) that all brothers of the order should observe strict loyalty and secrecy.&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Pythagoras ran his school in great secrecy as well as communalism, so it is difficult to know exactly what they worked on and who produced what. &lt;br /&gt;
&lt;br /&gt;
===Death===&lt;br /&gt;
A noble in Croton attacked the Pythagorean Society because he was denied admittance to the school. Pythagoras fled to Metapontium where most people believed his life ended. Some people believe he returned to the society because it rapidly expanded into 500 BCE. &lt;br /&gt;
&lt;br /&gt;
==Mathematical Contributions==&lt;br /&gt;
Pythagoras&#039;s most famous contribution is the formula to find the hypotenuse of a right triangle, known as the Pythagorean Theorem: a^2+b^2=c^2&lt;br /&gt;
&lt;br /&gt;
Heath [1] gives a list of theorems attributed to Pythagoras, or rather more generally to the Pythagoreans.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(i) The sum of the angles of a triangle is equal to two right angles. Also the Pythagoreans knew the generalisation which states that a polygon with n sides has sum of interior angles 2n - 4 right angles and sum of exterior angles equal to four right angles.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(ii) The theorem of Pythagoras - for a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. We should note here that to Pythagoras the square on the hypotenuse would certainly not be thought of as a number multiplied by itself, but rather as a geometrical square constructed on the side. To say that the sum of two squares is equal to a third square meant that the two squares could be cut up and reassembled to form a square identical to the third square.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(iii) Constructing figures of a given area and geometrical algebra. For example they solved equations such as a (a - x) = x2 by geometrical means.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(iv) The discovery of irrationals. This is certainly attributed to the Pythagoreans but it does seem unlikely to have been due to Pythagoras himself. This went against Pythagoras&#039;s philosophy the all things are numbers, since by a number he meant the ratio of two whole numbers. However, because of his belief that all things are numbers it would be a natural task to try to prove that the hypotenuse of an isosceles right angled triangle had a length corresponding to a number.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(v) The five regular solids. It is thought that Pythagoras himself knew how to construct the first three but it is unlikely that he would have known how to construct the other two.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(vi) In astronomy Pythagoras taught that the Earth was a sphere at the centre of the Universe. He also recognised that the orbit of the Moon was inclined to the equator of the Earth and he was one of the first to realise that Venus as an evening star was the same planet as Venus as a morning star.&lt;br /&gt;
&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Pythagoras is relevant to this course because his mathematical contributions, most importantly the Pythagorean Theorem. The Pythagorean Theorem is essential for geometry and trigonometry, which are used in physics to calculate vectors and angles. &lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
[1] History of Topics: The Golden Ratio http://www.mathopenref.com/pythagoras.html&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html&lt;br /&gt;
&lt;br /&gt;
http://www.mathopenref.com/pythagoras.html&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12925</id>
		<title>Pythagoras of Samos</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12925"/>
		<updated>2015-12-05T00:16:28Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Mathematical Contributions */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Pythagoras of Samos ==&lt;br /&gt;
by Eleanor Thomas&lt;br /&gt;
&lt;br /&gt;
Pythagoras of Samos is considered by many to be the first pure mathematician, as well as a Greek philosopher and scientist. He has played an incremental role in the development of mathematics, yet we have none of his written work. Most of what we know about him today was written after his death, and many of the writings regard him as a god-like figure. This leaves very little reliable information on this mystic mathematician. &lt;br /&gt;
&lt;br /&gt;
===Early Life===&lt;br /&gt;
Pythagoras was born around 596 B.C.E. in Samos where he was well-educated. He was taught by Pherekydes, Thales, and his pupil Anaximander. These philosphers introduced Pythagoras to mathematics including geometry and astronomy. After a tyrant seized control of Samos, Pythagoras travelled to Egypt (around 535 BCE). Here he furthered his knowledge in geometry and religion. He was introduced to many customs by Egyptian priests  such as refusal to eat meat and beans, refusal to wear animal skin, and the strive for purity. He came to adopt these customs and beliefs later in life. In 525 BCE, the Persians invaded Egypt and Pythagoras was taken prisoner to Babylon. While a prisoner of war, he continued to study mathematics, taught now by the Babylonians. How Pythagoras gained his freedom is still unclear, however the death of the king of Persia most likely played a role. Pythagoras returned to Samos and attempted to teach there. His practices were not very welcome, however, so he left again. &lt;br /&gt;
&lt;br /&gt;
===Pythagorean Society===&lt;br /&gt;
Pythagoras left Samos and started a philosophical and religious school in Croton. He was the head of a society with many followers. The inner circle followers were called mathematikoi and lived permanently in the society following many strict rules, including owning no possessions and not eating meat. The outer circle, called the akousmatics, only came to the Society during the day and didn&#039;t have as many rules. Women were allowed to be members of the outer circle, many going on to become famous philosophers. At the school, Pythagoras taught mathematics and his beliefs, the main five being:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(1) that at its deepest level, reality is mathematical in nature,&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(2) that philosophy can be used for spiritual purification,&#039;&#039;&lt;br /&gt;
&#039;&#039;&lt;br /&gt;
(3) that the soul can rise to union with the divine,&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(4) that certain symbols have a mystical significance, and&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(5) that all brothers of the order should observe strict loyalty and secrecy.&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Pythagoras ran his school in great secrecy as well as communalism, so it is difficult to know exactly what they worked on and who produced what. &lt;br /&gt;
&lt;br /&gt;
===Death===&lt;br /&gt;
A noble in Croton attacked the Pythagorean Society because he was denied admittance to the school. Pythagoras fled to Metapontium where most people believed his life ended. Some people believe he returned to the society because it rapidly expanded into 500 BCE. &lt;br /&gt;
&lt;br /&gt;
==Mathematical Contributions==&lt;br /&gt;
Pythagoras&#039;s most famous contribution is the formula to find the hypotenuse of a right triangle, known as the Pythagorean Theorem: a^2+b^2=c^2&lt;br /&gt;
Heath [1] gives a list of theorems attributed to Pythagoras, or rather more generally to the Pythagoreans.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(i) The sum of the angles of a triangle is equal to two right angles. Also the Pythagoreans knew the generalisation which states that a polygon with n sides has sum of interior angles 2n - 4 right angles and sum of exterior angles equal to four right angles.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(ii) The theorem of Pythagoras - for a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. We should note here that to Pythagoras the square on the hypotenuse would certainly not be thought of as a number multiplied by itself, but rather as a geometrical square constructed on the side. To say that the sum of two squares is equal to a third square meant that the two squares could be cut up and reassembled to form a square identical to the third square.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(iii) Constructing figures of a given area and geometrical algebra. For example they solved equations such as a (a - x) = x2 by geometrical means.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(iv) The discovery of irrationals. This is certainly attributed to the Pythagoreans but it does seem unlikely to have been due to Pythagoras himself. This went against Pythagoras&#039;s philosophy the all things are numbers, since by a number he meant the ratio of two whole numbers. However, because of his belief that all things are numbers it would be a natural task to try to prove that the hypotenuse of an isosceles right angled triangle had a length corresponding to a number.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(v) The five regular solids. It is thought that Pythagoras himself knew how to construct the first three but it is unlikely that he would have known how to construct the other two.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(vi) In astronomy Pythagoras taught that the Earth was a sphere at the centre of the Universe. He also recognised that the orbit of the Moon was inclined to the equator of the Earth and he was one of the first to realise that Venus as an evening star was the same planet as Venus as a morning star.&lt;br /&gt;
&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Pythagoras is relevant to this course because his mathematical contributions, most importantly the Pythagorean Theorem. The Pythagorean Theorem is essential for geometry and trigonometry, which are used in physics to calculate vectors and angles. &lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
[1] History of Topics: The Golden Ratio http://www.mathopenref.com/pythagoras.html&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html&lt;br /&gt;
&lt;br /&gt;
http://www.mathopenref.com/pythagoras.html&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12924</id>
		<title>Pythagoras of Samos</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12924"/>
		<updated>2015-12-05T00:15:03Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Pythagoras of Samos ==&lt;br /&gt;
by Eleanor Thomas&lt;br /&gt;
&lt;br /&gt;
Pythagoras of Samos is considered by many to be the first pure mathematician, as well as a Greek philosopher and scientist. He has played an incremental role in the development of mathematics, yet we have none of his written work. Most of what we know about him today was written after his death, and many of the writings regard him as a god-like figure. This leaves very little reliable information on this mystic mathematician. &lt;br /&gt;
&lt;br /&gt;
===Early Life===&lt;br /&gt;
Pythagoras was born around 596 B.C.E. in Samos where he was well-educated. He was taught by Pherekydes, Thales, and his pupil Anaximander. These philosphers introduced Pythagoras to mathematics including geometry and astronomy. After a tyrant seized control of Samos, Pythagoras travelled to Egypt (around 535 BCE). Here he furthered his knowledge in geometry and religion. He was introduced to many customs by Egyptian priests  such as refusal to eat meat and beans, refusal to wear animal skin, and the strive for purity. He came to adopt these customs and beliefs later in life. In 525 BCE, the Persians invaded Egypt and Pythagoras was taken prisoner to Babylon. While a prisoner of war, he continued to study mathematics, taught now by the Babylonians. How Pythagoras gained his freedom is still unclear, however the death of the king of Persia most likely played a role. Pythagoras returned to Samos and attempted to teach there. His practices were not very welcome, however, so he left again. &lt;br /&gt;
&lt;br /&gt;
===Pythagorean Society===&lt;br /&gt;
Pythagoras left Samos and started a philosophical and religious school in Croton. He was the head of a society with many followers. The inner circle followers were called mathematikoi and lived permanently in the society following many strict rules, including owning no possessions and not eating meat. The outer circle, called the akousmatics, only came to the Society during the day and didn&#039;t have as many rules. Women were allowed to be members of the outer circle, many going on to become famous philosophers. At the school, Pythagoras taught mathematics and his beliefs, the main five being:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(1) that at its deepest level, reality is mathematical in nature,&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(2) that philosophy can be used for spiritual purification,&#039;&#039;&lt;br /&gt;
&#039;&#039;&lt;br /&gt;
(3) that the soul can rise to union with the divine,&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(4) that certain symbols have a mystical significance, and&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(5) that all brothers of the order should observe strict loyalty and secrecy.&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Pythagoras ran his school in great secrecy as well as communalism, so it is difficult to know exactly what they worked on and who produced what. &lt;br /&gt;
&lt;br /&gt;
===Death===&lt;br /&gt;
A noble in Croton attacked the Pythagorean Society because he was denied admittance to the school. Pythagoras fled to Metapontium where most people believed his life ended. Some people believe he returned to the society because it rapidly expanded into 500 BCE. &lt;br /&gt;
&lt;br /&gt;
==Mathematical Contributions==&lt;br /&gt;
Pythagoras&#039;s most famous contribution is the formula to find the hypotenuse of a right triangle, known as the Pythagorean Theorem. &lt;br /&gt;
Heath [1] gives a list of theorems attributed to Pythagoras, or rather more generally to the Pythagoreans.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(i) The sum of the angles of a triangle is equal to two right angles. Also the Pythagoreans knew the generalisation which states that a polygon with n sides has sum of interior angles 2n - 4 right angles and sum of exterior angles equal to four right angles.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(ii) The theorem of Pythagoras - for a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. We should note here that to Pythagoras the square on the hypotenuse would certainly not be thought of as a number multiplied by itself, but rather as a geometrical square constructed on the side. To say that the sum of two squares is equal to a third square meant that the two squares could be cut up and reassembled to form a square identical to the third square.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(iii) Constructing figures of a given area and geometrical algebra. For example they solved equations such as a (a - x) = x2 by geometrical means.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(iv) The discovery of irrationals. This is certainly attributed to the Pythagoreans but it does seem unlikely to have been due to Pythagoras himself. This went against Pythagoras&#039;s philosophy the all things are numbers, since by a number he meant the ratio of two whole numbers. However, because of his belief that all things are numbers it would be a natural task to try to prove that the hypotenuse of an isosceles right angled triangle had a length corresponding to a number.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(v) The five regular solids. It is thought that Pythagoras himself knew how to construct the first three but it is unlikely that he would have known how to construct the other two.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(vi) In astronomy Pythagoras taught that the Earth was a sphere at the centre of the Universe. He also recognised that the orbit of the Moon was inclined to the equator of the Earth and he was one of the first to realise that Venus as an evening star was the same planet as Venus as a morning star.&lt;br /&gt;
&#039;&#039;&#039;&#039;&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Pythagoras is relevant to this course because his mathematical contributions, most importantly the Pythagorean Theorem. The Pythagorean Theorem is essential for geometry and trigonometry, which are used in physics to calculate vectors and angles. &lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
[1] History of Topics: The Golden Ratio http://www.mathopenref.com/pythagoras.html&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html&lt;br /&gt;
&lt;br /&gt;
http://www.mathopenref.com/pythagoras.html&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12915</id>
		<title>Pythagoras of Samos</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12915"/>
		<updated>2015-12-05T00:13:07Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: by Eleanor Thomas&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Pythagoras of Samos ==&lt;br /&gt;
by Eleanor Thomas&lt;br /&gt;
&lt;br /&gt;
Pythagoras of Samos is considered by many to be the first pure mathematician, as well as a Greek philosopher and scientist. He has played an incremental role in the development of mathematics, yet we have none of his written work. Most of what we know about him today was written after his death, and many of the writings regard him as a god-like figure. This leaves very little reliable information on this mystic mathematician. &lt;br /&gt;
&lt;br /&gt;
Contents [hide] &lt;br /&gt;
1 Biography&lt;br /&gt;
2 Mathematical Contributions&lt;br /&gt;
3 Connectedness&lt;br /&gt;
4 External Links&lt;br /&gt;
5 References&lt;br /&gt;
&lt;br /&gt;
===Early Life===&lt;br /&gt;
Pythagoras was born around 596 B.C.E. in Samos where he was well-educated. He was taught by Pherekydes, Thales, and his pupil Anaximander. These philosphers introduced Pythagoras to mathematics including geometry and astronomy. After a tyrant seized control of Samos, Pythagoras travelled to Egypt (around 535 BCE). Here he furthered his knowledge in geometry and religion. He was introduced to many customs by Egyptian priests  such as refusal to eat meat and beans, refusal to wear animal skin, and the strive for purity. He came to adopt these customs and beliefs later in life. In 525 BCE, the Persians invaded Egypt and Pythagoras was taken prisoner to Babylon. While a prisoner of war, he continued to study mathematics, taught now by the Babylonians. How Pythagoras gained his freedom is still unclear, however the death of the king of Persia most likely played a role. Pythagoras returned to Samos and attempted to teach there. His practices were not very welcome, however, so he left again. &lt;br /&gt;
&lt;br /&gt;
===Pythagorean Society===&lt;br /&gt;
Pythagoras left Samos and started a philosophical and religious school in Croton. He was the head of a society with many followers. The inner circle followers were called mathematikoi and lived permanently in the society following many strict rules, including owning no possessions and not eating meat. The outer circle, called the akousmatics, only came to the Society during the day and didn&#039;t have as many rules. Women were allowed to be members of the outer circle, many going on to become famous philosophers. At the school, Pythagoras taught mathematics and his beliefs, the main five being:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(1) that at its deepest level, reality is mathematical in nature,&lt;br /&gt;
&lt;br /&gt;
(2) that philosophy can be used for spiritual purification,&lt;br /&gt;
&lt;br /&gt;
(3) that the soul can rise to union with the divine,&lt;br /&gt;
&lt;br /&gt;
(4) that certain symbols have a mystical significance, and&lt;br /&gt;
&lt;br /&gt;
(5) that all brothers of the order should observe strict loyalty and secrecy.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Pythagoras ran his school in great secrecy as well as communalism, so it is difficult to know exactly what they worked on and who produced what. &lt;br /&gt;
&lt;br /&gt;
===Death===&lt;br /&gt;
A noble in Croton attacked the Pythagorean Society because he was denied admittance to the school. Pythagoras fled to Metapontium where most people believed his life ended. Some people believe he returned to the society because it rapidly expanded into 500 BCE. &lt;br /&gt;
&lt;br /&gt;
==Mathematical Contributions==&lt;br /&gt;
Pythagoras&#039;s most famous contribution is the formula to find the hypotenuse of a right triangle, known as the Pythagorean Theorem. &lt;br /&gt;
Heath [1] gives a list of theorems attributed to Pythagoras, or rather more generally to the Pythagoreans.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(i) The sum of the angles of a triangle is equal to two right angles. Also the Pythagoreans knew the generalisation which states that a polygon with n sides has sum of interior angles 2n - 4 right angles and sum of exterior angles equal to four right angles.&lt;br /&gt;
&lt;br /&gt;
(ii) The theorem of Pythagoras - for a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. We should note here that to Pythagoras the square on the hypotenuse would certainly not be thought of as a number multiplied by itself, but rather as a geometrical square constructed on the side. To say that the sum of two squares is equal to a third square meant that the two squares could be cut up and reassembled to form a square identical to the third square.&lt;br /&gt;
&lt;br /&gt;
(iii) Constructing figures of a given area and geometrical algebra. For example they solved equations such as a (a - x) = x2 by geometrical means.&lt;br /&gt;
&lt;br /&gt;
(iv) The discovery of irrationals. This is certainly attributed to the Pythagoreans but it does seem unlikely to have been due to Pythagoras himself. This went against Pythagoras&#039;s philosophy the all things are numbers, since by a number he meant the ratio of two whole numbers. However, because of his belief that all things are numbers it would be a natural task to try to prove that the hypotenuse of an isosceles right angled triangle had a length corresponding to a number.&lt;br /&gt;
&lt;br /&gt;
(v) The five regular solids. It is thought that Pythagoras himself knew how to construct the first three but it is unlikely that he would have known how to construct the other two.&lt;br /&gt;
&lt;br /&gt;
(vi) In astronomy Pythagoras taught that the Earth was a sphere at the centre of the Universe. He also recognised that the orbit of the Moon was inclined to the equator of the Earth and he was one of the first to realise that Venus as an evening star was the same planet as Venus as a morning star.&lt;br /&gt;
&#039;&#039;&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Pythagoras is relevant to this course because his mathematical contributions, most importantly the Pythagorean Theorem. The Pythagorean Theorem is essential for geometry and trigonometry, which are used in physics to calculate vectors and angles. &lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
[1] History of Topics: The Golden Ratio http://www.mathopenref.com/pythagoras.html&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html&lt;br /&gt;
&lt;br /&gt;
http://www.mathopenref.com/pythagoras.html&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12911</id>
		<title>Pythagoras of Samos</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12911"/>
		<updated>2015-12-05T00:11:03Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Pythagoras of Samos ==&lt;br /&gt;
by Eleanor Thomas&lt;br /&gt;
&lt;br /&gt;
Pythagoras of Samos is considered by many to be the first pure mathematician, as well as a Greek philosopher and scientist. He has played an incremental role in the development of mathematics, yet we have none of his written work. Most of what we know about him today was written after his death, and many of the writings regard him as a god-like figure. This leaves very little reliable information on this mystic mathematician. &lt;br /&gt;
&lt;br /&gt;
Contents [hide] &lt;br /&gt;
1 Biography&lt;br /&gt;
2 Mathematical Contributions&lt;br /&gt;
3 Connectedness&lt;br /&gt;
4 External Links&lt;br /&gt;
5 References&lt;br /&gt;
&lt;br /&gt;
===Early Life===&lt;br /&gt;
Pythagoras was born around 596 B.C.E. in Samos where he was well-educated. He was taught by Pherekydes, Thales, and his pupil Anaximander. These philosphers introduced Pythagoras to mathematics including geometry and astronomy. After a tyrant seized control of Samos, Pythagoras travelled to Egypt (around 535 BCE). Here he furthered his knowledge in geometry and religion. He was introduced to many customs by Egyptian priests  such as refusal to eat meat and beans, refusal to wear animal skin, and the strive for purity. He came to adopt these customs and beliefs later in life. In 525 BCE, the Persians invaded Egypt and Pythagoras was taken prisoner to Babylon. While a prisoner of war, he continued to study mathematics, taught now by the Babylonians. How Pythagoras gained his freedom is still unclear, however the death of the king of Persia most likely played a role. Pythagoras returned to Samos and attempted to teach there. His practices were not very welcome, however, so he left again. &lt;br /&gt;
&lt;br /&gt;
===Pythagorean Society===&lt;br /&gt;
Pythagoras left Samos and started a philosophical and religious school in Croton. He was the head of a society with many followers. The inner circle followers were called mathematikoi and lived permanently in the society following many strict rules, including owning no possessions and not eating meat. The outer circle, called the akousmatics, only came to the Society during the day and didn&#039;t have as many rules. Women were allowed to be members of the outer circle, many going on to become famous philosophers. At the school, Pythagoras taught mathematics and his beliefs, the main five being:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(1) that at its deepest level, reality is mathematical in nature,&lt;br /&gt;
&lt;br /&gt;
(2) that philosophy can be used for spiritual purification,&lt;br /&gt;
&lt;br /&gt;
(3) that the soul can rise to union with the divine,&lt;br /&gt;
&lt;br /&gt;
(4) that certain symbols have a mystical significance, and&lt;br /&gt;
&lt;br /&gt;
(5) that all brothers of the order should observe strict loyalty and secrecy.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Pythagoras ran his school in great secrecy as well as communalism, so it is difficult to know exactly what they worked on and who produced what. &lt;br /&gt;
&lt;br /&gt;
===Death===&lt;br /&gt;
A noble in Croton attacked the Pythagorean Society because he was denied admittance to the school. Pythagoras fled to Metapontium where most people believed his life ended. Some people believe he returned to the society because it rapidly expanded into 500 BCE. &lt;br /&gt;
&lt;br /&gt;
==Mathematical Contributions==&lt;br /&gt;
Pythagoras&#039;s most famous contribution is the formula to find the hypotenuse of a right triangle, known as the Pythagorean Theorem. &lt;br /&gt;
Heath [1] gives a list of theorems attributed to Pythagoras, or rather more generally to the Pythagoreans.[[File:Example.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(i) The sum of the angles of a triangle is equal to two right angles. Also the Pythagoreans knew the generalisation which states that a polygon with n sides has sum of interior angles 2n - 4 right angles and sum of exterior angles equal to four right angles.&lt;br /&gt;
&lt;br /&gt;
(ii) The theorem of Pythagoras - for a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. We should note here that to Pythagoras the square on the hypotenuse would certainly not be thought of as a number multiplied by itself, but rather as a geometrical square constructed on the side. To say that the sum of two squares is equal to a third square meant that the two squares could be cut up and reassembled to form a square identical to the third square.&lt;br /&gt;
&lt;br /&gt;
(iii) Constructing figures of a given area and geometrical algebra. For example they solved equations such as a (a - x) = x2 by geometrical means.&lt;br /&gt;
&lt;br /&gt;
(iv) The discovery of irrationals. This is certainly attributed to the Pythagoreans but it does seem unlikely to have been due to Pythagoras himself. This went against Pythagoras&#039;s philosophy the all things are numbers, since by a number he meant the ratio of two whole numbers. However, because of his belief that all things are numbers it would be a natural task to try to prove that the hypotenuse of an isosceles right angled triangle had a length corresponding to a number.&lt;br /&gt;
&lt;br /&gt;
(v) The five regular solids. It is thought that Pythagoras himself knew how to construct the first three but it is unlikely that he would have known how to construct the other two.&lt;br /&gt;
&lt;br /&gt;
(vi) In astronomy Pythagoras taught that the Earth was a sphere at the centre of the Universe. He also recognised that the orbit of the Moon was inclined to the equator of the Earth and he was one of the first to realise that Venus as an evening star was the same planet as Venus as a morning star.&lt;br /&gt;
&#039;&#039;&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Pythagoras is relevant to this course because his mathematical contributions, most importantly the Pythagorean Theorem. The Pythagorean Theorem is essential for geometry and trigonometry, which are used in physics to calculate vectors and angles. &lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
[1] History of Topics: The Golden Ratio http://www.mathopenref.com/pythagoras.html&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html&lt;br /&gt;
&lt;br /&gt;
http://www.mathopenref.com/pythagoras.html&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12905</id>
		<title>Pythagoras of Samos</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Pythagoras_of_Samos&amp;diff=12905"/>
		<updated>2015-12-05T00:08:37Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: Created page with &amp;quot; == Pythagoras of Samos ==   Pythagoras of Samos is considered by many to be the first pure mathematician, as well as a Greek philosopher and scientist. He has played an incre...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Pythagoras of Samos ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Pythagoras of Samos is considered by many to be the first pure mathematician, as well as a Greek philosopher and scientist. He has played an incremental role in the development of mathematics, yet we have none of his written work. Most of what we know about him today was written after his death, and many of the writings regard him as a god-like figure. This leaves very little reliable information on this mystic mathematician. &lt;br /&gt;
&lt;br /&gt;
Contents [hide] &lt;br /&gt;
1 Biography&lt;br /&gt;
1.1 Early Life&lt;br /&gt;
1.2 Pythagorean Society &lt;br /&gt;
1.3 Death&lt;br /&gt;
2 Mathematical Contributions&lt;br /&gt;
3 Connectedness&lt;br /&gt;
4 External Links&lt;br /&gt;
5 References&lt;br /&gt;
&lt;br /&gt;
===Early Life===&lt;br /&gt;
Pythagoras was born around 596 B.C.E. in Samos where he was well-educated. He was taught by Pherekydes, Thales, and his pupil Anaximander. These philosphers introduced Pythagoras to mathematics including geometry and astronomy. After a tyrant seized control of Samos, Pythagoras travelled to Egypt (around 535 BCE). Here he furthered his knowledge in geometry and religion. He was introduced to many customs by Egyptian priests  such as refusal to eat meat and beans, refusal to wear animal skin, and the strive for purity. He came to adopt these customs and beliefs later in life. In 525 BCE, the Persians invaded Egypt and Pythagoras was taken prisoner to Babylon. While a prisoner of war, he continued to study mathematics, taught now by the Babylonians. How Pythagoras gained his freedom is still unclear, however the death of the king of Persia most likely played a role. Pythagoras returned to Samos and attempted to teach there. His practices were not very welcome, however, so he left again. &lt;br /&gt;
&lt;br /&gt;
===Pythagorean Society===&lt;br /&gt;
Pythagoras left Samos and started a philosophical and religious school in Croton. He was the head of a society with many followers. The inner circle followers were called mathematikoi and lived permanently in the society following many strict rules, including owning no possessions and not eating meat. The outer circle, called the akousmatics, only came to the Society during the day and didn&#039;t have as many rules. Women were allowed to be members of the outer circle, many going on to become famous philosophers. At the school, Pythagoras taught mathematics and his beliefs, the main five being:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(1) that at its deepest level, reality is mathematical in nature,&lt;br /&gt;
&lt;br /&gt;
(2) that philosophy can be used for spiritual purification,&lt;br /&gt;
&lt;br /&gt;
(3) that the soul can rise to union with the divine,&lt;br /&gt;
&lt;br /&gt;
(4) that certain symbols have a mystical significance, and&lt;br /&gt;
&lt;br /&gt;
(5) that all brothers of the order should observe strict loyalty and secrecy.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Pythagoras ran his school in great secrecy as well as communalism, so it is difficult to know exactly what they worked on and who produced what. &lt;br /&gt;
&lt;br /&gt;
===Death===&lt;br /&gt;
A noble in Croton attacked the Pythagorean Society because he was denied admittance to the school. Pythagoras fled to Metapontium where most people believed his life ended. Some people believe he returned to the society because it rapidly expanded into 500 BCE. &lt;br /&gt;
&lt;br /&gt;
==Mathematical Contributions==&lt;br /&gt;
Pythagoras&#039;s most famous contribution is the formula to find the hypotenuse of a right triangle, known as the Pythagorean Theorem. &lt;br /&gt;
Heath [1] gives a list of theorems attributed to Pythagoras, or rather more generally to the Pythagoreans.[[File:Example.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;(i) The sum of the angles of a triangle is equal to two right angles. Also the Pythagoreans knew the generalisation which states that a polygon with n sides has sum of interior angles 2n - 4 right angles and sum of exterior angles equal to four right angles.&lt;br /&gt;
&lt;br /&gt;
(ii) The theorem of Pythagoras - for a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. We should note here that to Pythagoras the square on the hypotenuse would certainly not be thought of as a number multiplied by itself, but rather as a geometrical square constructed on the side. To say that the sum of two squares is equal to a third square meant that the two squares could be cut up and reassembled to form a square identical to the third square.&lt;br /&gt;
&lt;br /&gt;
(iii) Constructing figures of a given area and geometrical algebra. For example they solved equations such as a (a - x) = x2 by geometrical means.&lt;br /&gt;
&lt;br /&gt;
(iv) The discovery of irrationals. This is certainly attributed to the Pythagoreans but it does seem unlikely to have been due to Pythagoras himself. This went against Pythagoras&#039;s philosophy the all things are numbers, since by a number he meant the ratio of two whole numbers. However, because of his belief that all things are numbers it would be a natural task to try to prove that the hypotenuse of an isosceles right angled triangle had a length corresponding to a number.&lt;br /&gt;
&lt;br /&gt;
(v) The five regular solids. It is thought that Pythagoras himself knew how to construct the first three but it is unlikely that he would have known how to construct the other two.&lt;br /&gt;
&lt;br /&gt;
(vi) In astronomy Pythagoras taught that the Earth was a sphere at the centre of the Universe. He also recognised that the orbit of the Moon was inclined to the equator of the Earth and he was one of the first to realise that Venus as an evening star was the same planet as Venus as a morning star.&lt;br /&gt;
&#039;&#039;&lt;br /&gt;
===Connectedness===&lt;br /&gt;
Pythagoras is relevant to this course because his mathematical contributions, most importantly the Pythagorean Theorem. The Pythagorean Theorem is essential for geometry and trigonometry, which are used in physics to calculate vectors and angles. &lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
[1] History of Topics: The Golden Ratio http://www.mathopenref.com/pythagoras.html&lt;br /&gt;
&lt;br /&gt;
===References===&lt;br /&gt;
http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html&lt;br /&gt;
&lt;br /&gt;
http://www.mathopenref.com/pythagoras.html&lt;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=12634</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=12634"/>
		<updated>2015-12-04T21:36:40Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Notable Scientists */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
Welcome to the Georgia Tech Wiki for Intro 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!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick a specific topic from intro physics&lt;br /&gt;
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.&lt;br /&gt;
#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 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 two semester of introductory physics.  You can add subcategories or make a new category as needed.  A single topic should direct readers to a page in one of these catagories.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
===Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
**[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Detecting Interactions]]&lt;br /&gt;
*[[Fundamental Interactions]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
*[[System &amp;amp; Surroundings]] &lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Second Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Conservation of Charge]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
*[[Speed and Velocity]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Reaction Time]]&lt;br /&gt;
*[[Time Dilation]]&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;
===Modeling with VPython===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&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 Multithreading]]&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;
===Theory===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[Law of Gravitation]]&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;
===Notable Scientists===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Alexei Alexeyevich Abrikosov]]&lt;br /&gt;
*[[Christian Doppler]]&lt;br /&gt;
*[[Albert Einstein]]&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
*[[Joseph Henry]]&lt;br /&gt;
*[[Michael Faraday]]&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
*[[James Maxwell]]&lt;br /&gt;
*[[Robert Hooke]]&lt;br /&gt;
*[[Carl Friedrich Gauss]]&lt;br /&gt;
*[[Nikola Tesla]]&lt;br /&gt;
*[[Andre Marie Ampere]]&lt;br /&gt;
*[[Sir Isaac Newton]]&lt;br /&gt;
*[[J. Robert Oppenheimer]]&lt;br /&gt;
*[[Oliver Heaviside]]&lt;br /&gt;
*[[Rosalind Franklin]]&lt;br /&gt;
*[[Erwin Schrödinger]]&lt;br /&gt;
*[[Enrico Fermi]]&lt;br /&gt;
*[[Robert J. Van de Graaff]]&lt;br /&gt;
*[[Charles de Coulomb]]&lt;br /&gt;
*[[Hans Christian Ørsted]]&lt;br /&gt;
*[[Philo Farnsworth]]&lt;br /&gt;
*[[Niels Bohr]]&lt;br /&gt;
*[[Georg Ohm]]&lt;br /&gt;
*[[Galileo Galilei]]&lt;br /&gt;
*[[Gustav Kirchhoff]]&lt;br /&gt;
*[[Max Planck]]&lt;br /&gt;
*[[Heinrich Hertz]]&lt;br /&gt;
*[[Edwin Hall]]&lt;br /&gt;
*[[James Watt]]&lt;br /&gt;
*[[Count Alessandro Volta]]&lt;br /&gt;
*[[Josiah Willard Gibbs]]&lt;br /&gt;
*[[Richard Phillips Feynman]]&lt;br /&gt;
*[[Sir David Brewster]]&lt;br /&gt;
*[[Daniel Bernoulli]]&lt;br /&gt;
*[[William Thomson]]&lt;br /&gt;
*[[Leonhard Euler]]&lt;br /&gt;
*[[Robert Fox Bacher]]&lt;br /&gt;
*[[Stephen Hawking]]&lt;br /&gt;
*[[Amedeo Avogadro]]&lt;br /&gt;
*[[Wilhelm Conrad Roentgen]]&lt;br /&gt;
*[[Pierre Laplace]]&lt;br /&gt;
*[[Thomas Edison]]&lt;br /&gt;
*[[Hendrik Lorentz]]&lt;br /&gt;
*[[Jean-Baptiste Biot]]&lt;br /&gt;
*[[Lise Meitner]]&lt;br /&gt;
*[[Lisa Randall]]&lt;br /&gt;
*[[Felix Savart]]&lt;br /&gt;
*[[Heinrich Lenz]]&lt;br /&gt;
*[[Max Born]]&lt;br /&gt;
*[[Archimedes]]&lt;br /&gt;
*[[Jean Baptiste Biot]]&lt;br /&gt;
*[[Carl Sagan]]&lt;br /&gt;
*[[Eugene Wigner]]&lt;br /&gt;
*[[Marie Curie]]&lt;br /&gt;
*[[Pierre Curie]]&lt;br /&gt;
*[[Werner Heisenberg]]&lt;br /&gt;
*[[Johannes Diderik van der Waals]]&lt;br /&gt;
*[[Louis de Broglie]]&lt;br /&gt;
*[[Aristotle]]&lt;br /&gt;
*[[Émilie du Châtelet]]&lt;br /&gt;
*[[Blaise Pascal]]&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
*[[James Chadwick]]&lt;br /&gt;
*[[Henry Cavendish]]&lt;br /&gt;
*[[Thomas Young]]&lt;br /&gt;
*[[James Prescott Joule]]&lt;br /&gt;
*[[John Bardeen]]&lt;br /&gt;
*[[Leo Baekeland]]&lt;br /&gt;
*[[Alhazen]]&lt;br /&gt;
*[[Willebrod Snell]]&lt;br /&gt;
*[[Fritz Walther Meissner]]&lt;br /&gt;
*[[Johannes Kepler]]&lt;br /&gt;
*[[Johann Wilhelm Ritter]]&lt;br /&gt;
*[[Philipp Lenard]]&lt;br /&gt;
*[[Robert A. Millikan]]&lt;br /&gt;
*[[Joseph Louis Gay-Lussac]]&lt;br /&gt;
*[[Guglielmo Marconi]]&lt;br /&gt;
*[[Luis Walter Alvarez]]&lt;br /&gt;
*[[Robert Goddard]]&lt;br /&gt;
*[[Léon Foucault]]&lt;br /&gt;
*[[Henri Poincaré]]&lt;br /&gt;
*[[Steven Weinberg]]&lt;br /&gt;
*[[Arthur Compton]]&lt;br /&gt;
*[[Pythagoras of Samos]]&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;
===Properties of Matter===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
*[[Spin]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
*[[Heat Capacity]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Conductivity]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Non-Newtonian Fluids]]&lt;br /&gt;
*[[Color]]&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;
===Contact Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Young&#039;s Modulus]]&lt;br /&gt;
* [[Friction]]&lt;br /&gt;
* [[Tension]]&lt;br /&gt;
* [[Hooke&#039;s Law]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
* [[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
* [[Speed of Sound in a Solid]]&lt;br /&gt;
* [[Iterative Prediction of Spring-Mass System]]&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;
===Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Vectors]]&lt;br /&gt;
* [[Kinematics]]&lt;br /&gt;
* [[Conservation of Momentum]]&lt;br /&gt;
* [[Predicting Change in multiple dimensions]]&lt;br /&gt;
* [[Derivation of the Momentum Principle]]&lt;br /&gt;
* [[Momentum Principle]]&lt;br /&gt;
* [[Impulse Momentum]]&lt;br /&gt;
* [[Curving Motion]]&lt;br /&gt;
* [[Projectile Motion]]&lt;br /&gt;
* [[Multi-particle Analysis of Momentum]]&lt;br /&gt;
* [[Iterative Prediction]]&lt;br /&gt;
* [[Analytical Prediction]]&lt;br /&gt;
* [[Newton&#039;s Laws and Linear Momentum]]&lt;br /&gt;
* [[Net Force]]&lt;br /&gt;
* [[Center of Mass]]&lt;br /&gt;
* [[Momentum at High Speeds]]&lt;br /&gt;
* [[Change in Momentum in Time for Curving Motion]]&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=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Angular Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[The Moments of Inertia]]&lt;br /&gt;
* [[Moment of Inertia for a ring]]&lt;br /&gt;
* [[Rotation]]&lt;br /&gt;
* [[Torque]]&lt;br /&gt;
* [[Systems with Zero Torque]]&lt;br /&gt;
* [[Systems with Nonzero Torque]]&lt;br /&gt;
* [[Right Hand Rule]]&lt;br /&gt;
* [[Angular Velocity]]&lt;br /&gt;
* [[Predicting the Position of a Rotating System]]&lt;br /&gt;
* [[Translational Angular Momentum]]&lt;br /&gt;
* [[The Angular Momentum Principle]]&lt;br /&gt;
* [[Angular Momentum of Multiparticle Systems]]&lt;br /&gt;
* [[Rotational Angular Momentum]]&lt;br /&gt;
* [[Total Angular Momentum]]&lt;br /&gt;
* [[Gyroscopes]]&lt;br /&gt;
* [[Angular Momentum Compared to Linear Momentum]]&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;
&lt;br /&gt;
===Energy===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
*[[Photons]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Predicting Change]]&lt;br /&gt;
*[[Rest Mass Energy]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
**[[Potential Energy for a Magnetic Dipole]]&lt;br /&gt;
**[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work]]&lt;br /&gt;
**[[Work Done By A Nonconstant Force]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Energy Transfer due to a Temperature Difference]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
**[[Ball and Spring Model]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Franck-Hertz Experiment]]&lt;br /&gt;
*[[Power (Mechanical)]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
**[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
*[[Electronic Energy Levels]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Specific Heat Capacity]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Energy Density]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
**[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&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;
===Collisions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Collisions]] &lt;br /&gt;
Collisions are events that happen very frequently in our day-to-day world. A collision is any sort of process in which before and after a short time interval there is little interaction, but during that short time interval there are large interactions. When looking at collisions, it is first important to understand two very important principles: the Momentum Principle and the Energy Principle. Both principles serve use when talking of collisions because they provide a way in which to analyze these collisions. Collisions themselves can be categorized into 3 main different types: maximally inelastic collisions, elastic collisions, and inelastic collisions. All 3 collisions will get touched on in more detail further on. &lt;br /&gt;
*[[Maximally Inelastic Collisions]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
*[[testing123]]&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;
===Fields===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Electric Field]] of a&lt;br /&gt;
** [[Point Charge]]&lt;br /&gt;
** [[Electric Dipole]]&lt;br /&gt;
** [[Capacitor]]&lt;br /&gt;
** [[Charged Rod]]&lt;br /&gt;
** [[Charged Ring]]&lt;br /&gt;
** [[Charged Disk]]&lt;br /&gt;
** [[Charged Spherical Shell]]&lt;br /&gt;
** [[Charged Cylinder]]&lt;br /&gt;
** [[Charge Density]]&lt;br /&gt;
**[[A Solid Sphere Charged Throughout Its Volume]]&lt;br /&gt;
*[[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;
**[[Sign of Potential Difference]]&lt;br /&gt;
**[[Potential Difference in an Insulator]]&lt;br /&gt;
**[[Energy Density and Electric Field]]&lt;br /&gt;
** [[Systems of Charged Objects]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
**[[Polarization of an Atom]]&lt;br /&gt;
*[[Charge Motion in Metals]]&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
**[[Right-Hand Rule]]&lt;br /&gt;
**[[Direction of Magnetic Field]]&lt;br /&gt;
**[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
**[[Magnetic Field of a Loop]]&lt;br /&gt;
**[[Magnetic Field of a Solenoid]]&lt;br /&gt;
**[[Bar Magnet]]&lt;br /&gt;
**[[Magnetic Dipole Moment]]&lt;br /&gt;
***[[Stern-Gerlach Experiment]]&lt;br /&gt;
**[[Magnetic Force]]&lt;br /&gt;
**[[Earth&#039;s Magnetic Field]]&lt;br /&gt;
**[[Atomic Structure of Magnets]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
**[[Magnetic Torque]]&lt;br /&gt;
**[[Hall Effect]]&lt;br /&gt;
**[[Lorentz Force]]&lt;br /&gt;
**[[Biot-Savart Law]]&lt;br /&gt;
**[[Biot-Savart Law for Currents]]&lt;br /&gt;
**[[Integration Techniques for Magnetic Field]]&lt;br /&gt;
**[[Sparks in Air]]&lt;br /&gt;
**[[Motional Emf]]&lt;br /&gt;
**[[Detecting a Magnetic Field]]&lt;br /&gt;
**[[Moving Point Charge]]&lt;br /&gt;
**[[Non-Coulomb Electric Field]]&lt;br /&gt;
**[[Motors and Generators]]&lt;br /&gt;
**[[Solenoid Applications]]&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;
===Simple Circuits===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Components]]&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[Thin and Thick Wires]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Resistivity]]&lt;br /&gt;
*[[Power in a circuit]]&lt;br /&gt;
*[[Ammeters,Voltmeters,Ohmmeters]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
**[[AC]]&lt;br /&gt;
*[[Ohm&#039;s Law]]&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[RC]]&lt;br /&gt;
*[[AC vs DC]]&lt;br /&gt;
*[[Charge in a RC Circuit]]&lt;br /&gt;
*[[Current in a RC circuit]]&lt;br /&gt;
*[[Circular Loop of Wire]]&lt;br /&gt;
*[[Current in a RL Circuit]]&lt;br /&gt;
*[[RL Circuit]]&lt;br /&gt;
*[[LC Circuit]]&lt;br /&gt;
*[[Surface Charge Distributions]]&lt;br /&gt;
*[[Feedback]]&lt;br /&gt;
*[[Transformers (Circuits)]]&lt;br /&gt;
*[[Resistors and Conductivity]]&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;
&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 Flux Theorem]]&lt;br /&gt;
**[[Electric Fields]]&lt;br /&gt;
***[[Examples of Flux Through Surfaces and Objects]]&lt;br /&gt;
**[[Magnetic Fields]]&lt;br /&gt;
*[[Ampere&#039;s 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;
*[[Faraday&#039;s Law]]&lt;br /&gt;
**[[Curly Electric Fields]]&lt;br /&gt;
**[[Inductance]]&lt;br /&gt;
***[[Transformers (Physics)]]&lt;br /&gt;
***[[Energy Density]]&lt;br /&gt;
**[[Lenz&#039;s Law]]&lt;br /&gt;
***[[Lenz Effect and the Jumping Ring]]&lt;br /&gt;
**[[Lenz&#039;s Rule]]&lt;br /&gt;
**[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&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;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Radiation===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Producing a Radiative Electric Field]]&lt;br /&gt;
*[[Sinusoidal Electromagnetic Radiaton]]&lt;br /&gt;
*[[Lenses]]&lt;br /&gt;
*[[Energy and Momentum Analysis in Radiation]]&lt;br /&gt;
**[[Poynting Vector]]&lt;br /&gt;
*[[Electromagnetic Propagation]]&lt;br /&gt;
**[[Wavelength and Frequency]]&lt;br /&gt;
*[[Snell&#039;s Law]]&lt;br /&gt;
*[[Effects of Radiation on Matter]]&lt;br /&gt;
*[[Light Propagation Through a Medium]]&lt;br /&gt;
*[[Light Scaterring: Why is the Sky Blue]]&lt;br /&gt;
*[[Light Refraction: Bending of light]]&lt;br /&gt;
*[[Cherenkov Radiation]]&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;
===Sound===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Doppler Effect]]&lt;br /&gt;
*[[Nature, Behavior, and Properties of Sound]]&lt;br /&gt;
*[[Resonance]]&lt;br /&gt;
*[[Sound Barrier]]&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;
===Waves===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Multisource Interference: Diffraction]]&lt;br /&gt;
*[[Standing waves]]&lt;br /&gt;
*[[Gravitational waves]]&lt;br /&gt;
*[[Plasma waves]]&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[Electromagnetic Waves]]&lt;br /&gt;
*[[Electromagnetic Spectrum]]&lt;br /&gt;
*[[Color Light Wave]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Pendulum Motion]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
*[[Planck&#039;s Relation]]&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;
===Real Life Applications of Electromagnetic Principles===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Junkyard Cranes]]&lt;br /&gt;
*[[Maglev Trains]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
*[[Metal Detectors]]&lt;br /&gt;
*[[Speakers]]&lt;br /&gt;
*[[Radios]]&lt;br /&gt;
*[[Ampullae of Lorenzini]]&lt;br /&gt;
*[[Electrocytes]]&lt;br /&gt;
*[[Generator]]&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;
===Optics===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mirrors]]&lt;br /&gt;
*[[Refraction]]&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;
== 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;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=12612</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=12612"/>
		<updated>2015-12-04T21:28:10Z</updated>

		<summary type="html">&lt;p&gt;Ethomas47: /* Collisions */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
Welcome to the Georgia Tech Wiki for Intro 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!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick a specific topic from intro physics&lt;br /&gt;
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.&lt;br /&gt;
#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 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 two semester of introductory physics.  You can add subcategories or make a new category as needed.  A single topic should direct readers to a page in one of these catagories.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
===Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
**[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Detecting Interactions]]&lt;br /&gt;
*[[Fundamental Interactions]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
*[[System &amp;amp; Surroundings]] &lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Second Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Conservation of Charge]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
*[[Speed and Velocity]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Reaction Time]]&lt;br /&gt;
*[[Time Dilation]]&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;
===Modeling with VPython===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&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 Multithreading]]&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;
===Theory===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[Law of Gravitation]]&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;
===Notable Scientists===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Alexei Alexeyevich Abrikosov]]&lt;br /&gt;
*[[Christian Doppler]]&lt;br /&gt;
*[[Albert Einstein]]&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
*[[Joseph Henry]]&lt;br /&gt;
*[[Michael Faraday]]&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
*[[James Maxwell]]&lt;br /&gt;
*[[Robert Hooke]]&lt;br /&gt;
*[[Carl Friedrich Gauss]]&lt;br /&gt;
*[[Nikola Tesla]]&lt;br /&gt;
*[[Andre Marie Ampere]]&lt;br /&gt;
*[[Sir Isaac Newton]]&lt;br /&gt;
*[[J. Robert Oppenheimer]]&lt;br /&gt;
*[[Oliver Heaviside]]&lt;br /&gt;
*[[Rosalind Franklin]]&lt;br /&gt;
*[[Erwin Schrödinger]]&lt;br /&gt;
*[[Enrico Fermi]]&lt;br /&gt;
*[[Robert J. Van de Graaff]]&lt;br /&gt;
*[[Charles de Coulomb]]&lt;br /&gt;
*[[Hans Christian Ørsted]]&lt;br /&gt;
*[[Philo Farnsworth]]&lt;br /&gt;
*[[Niels Bohr]]&lt;br /&gt;
*[[Georg Ohm]]&lt;br /&gt;
*[[Galileo Galilei]]&lt;br /&gt;
*[[Gustav Kirchhoff]]&lt;br /&gt;
*[[Max Planck]]&lt;br /&gt;
*[[Heinrich Hertz]]&lt;br /&gt;
*[[Edwin Hall]]&lt;br /&gt;
*[[James Watt]]&lt;br /&gt;
*[[Count Alessandro Volta]]&lt;br /&gt;
*[[Josiah Willard Gibbs]]&lt;br /&gt;
*[[Richard Phillips Feynman]]&lt;br /&gt;
*[[Sir David Brewster]]&lt;br /&gt;
*[[Daniel Bernoulli]]&lt;br /&gt;
*[[William Thomson]]&lt;br /&gt;
*[[Leonhard Euler]]&lt;br /&gt;
*[[Robert Fox Bacher]]&lt;br /&gt;
*[[Stephen Hawking]]&lt;br /&gt;
*[[Amedeo Avogadro]]&lt;br /&gt;
*[[Wilhelm Conrad Roentgen]]&lt;br /&gt;
*[[Pierre Laplace]]&lt;br /&gt;
*[[Thomas Edison]]&lt;br /&gt;
*[[Hendrik Lorentz]]&lt;br /&gt;
*[[Jean-Baptiste Biot]]&lt;br /&gt;
*[[Lise Meitner]]&lt;br /&gt;
*[[Lisa Randall]]&lt;br /&gt;
*[[Felix Savart]]&lt;br /&gt;
*[[Heinrich Lenz]]&lt;br /&gt;
*[[Max Born]]&lt;br /&gt;
*[[Archimedes]]&lt;br /&gt;
*[[Jean Baptiste Biot]]&lt;br /&gt;
*[[Carl Sagan]]&lt;br /&gt;
*[[Eugene Wigner]]&lt;br /&gt;
*[[Marie Curie]]&lt;br /&gt;
*[[Pierre Curie]]&lt;br /&gt;
*[[Werner Heisenberg]]&lt;br /&gt;
*[[Johannes Diderik van der Waals]]&lt;br /&gt;
*[[Louis de Broglie]]&lt;br /&gt;
*[[Aristotle]]&lt;br /&gt;
*[[Émilie du Châtelet]]&lt;br /&gt;
*[[Blaise Pascal]]&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
*[[James Chadwick]]&lt;br /&gt;
*[[Henry Cavendish]]&lt;br /&gt;
*[[Thomas Young]]&lt;br /&gt;
*[[James Prescott Joule]]&lt;br /&gt;
*[[John Bardeen]]&lt;br /&gt;
*[[Leo Baekeland]]&lt;br /&gt;
*[[Alhazen]]&lt;br /&gt;
*[[Willebrod Snell]]&lt;br /&gt;
*[[Fritz Walther Meissner]]&lt;br /&gt;
*[[Johannes Kepler]]&lt;br /&gt;
*[[Johann Wilhelm Ritter]]&lt;br /&gt;
*[[Philipp Lenard]]&lt;br /&gt;
*[[Robert A. Millikan]]&lt;br /&gt;
*[[Joseph Louis Gay-Lussac]]&lt;br /&gt;
*[[Guglielmo Marconi]]&lt;br /&gt;
*[[Luis Walter Alvarez]]&lt;br /&gt;
*[[Robert Goddard]]&lt;br /&gt;
*[[Léon Foucault]]&lt;br /&gt;
*[[Henri Poincaré]]&lt;br /&gt;
*[[Steven Weinberg]]&lt;br /&gt;
*[[Arthur Compton]]&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;
&lt;br /&gt;
===Properties of Matter===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
*[[Spin]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
*[[Heat Capacity]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Conductivity]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Non-Newtonian Fluids]]&lt;br /&gt;
*[[Color]]&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;
===Contact Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Young&#039;s Modulus]]&lt;br /&gt;
* [[Friction]]&lt;br /&gt;
* [[Tension]]&lt;br /&gt;
* [[Hooke&#039;s Law]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
* [[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
* [[Speed of Sound in a Solid]]&lt;br /&gt;
* [[Iterative Prediction of Spring-Mass System]]&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;
===Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Vectors]]&lt;br /&gt;
* [[Kinematics]]&lt;br /&gt;
* [[Conservation of Momentum]]&lt;br /&gt;
* [[Predicting Change in multiple dimensions]]&lt;br /&gt;
* [[Derivation of the Momentum Principle]]&lt;br /&gt;
* [[Momentum Principle]]&lt;br /&gt;
* [[Impulse Momentum]]&lt;br /&gt;
* [[Curving Motion]]&lt;br /&gt;
* [[Projectile Motion]]&lt;br /&gt;
* [[Multi-particle Analysis of Momentum]]&lt;br /&gt;
* [[Iterative Prediction]]&lt;br /&gt;
* [[Analytical Prediction]]&lt;br /&gt;
* [[Newton&#039;s Laws and Linear Momentum]]&lt;br /&gt;
* [[Net Force]]&lt;br /&gt;
* [[Center of Mass]]&lt;br /&gt;
* [[Momentum at High Speeds]]&lt;br /&gt;
* [[Change in Momentum in Time for Curving Motion]]&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=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Angular Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[The Moments of Inertia]]&lt;br /&gt;
* [[Moment of Inertia for a ring]]&lt;br /&gt;
* [[Rotation]]&lt;br /&gt;
* [[Torque]]&lt;br /&gt;
* [[Systems with Zero Torque]]&lt;br /&gt;
* [[Systems with Nonzero Torque]]&lt;br /&gt;
* [[Right Hand Rule]]&lt;br /&gt;
* [[Angular Velocity]]&lt;br /&gt;
* [[Predicting the Position of a Rotating System]]&lt;br /&gt;
* [[Translational Angular Momentum]]&lt;br /&gt;
* [[The Angular Momentum Principle]]&lt;br /&gt;
* [[Angular Momentum of Multiparticle Systems]]&lt;br /&gt;
* [[Rotational Angular Momentum]]&lt;br /&gt;
* [[Total Angular Momentum]]&lt;br /&gt;
* [[Gyroscopes]]&lt;br /&gt;
* [[Angular Momentum Compared to Linear Momentum]]&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;
&lt;br /&gt;
===Energy===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
*[[Photons]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Predicting Change]]&lt;br /&gt;
*[[Rest Mass Energy]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
**[[Potential Energy for a Magnetic Dipole]]&lt;br /&gt;
**[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work]]&lt;br /&gt;
**[[Work Done By A Nonconstant Force]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Energy Transfer due to a Temperature Difference]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
**[[Ball and Spring Model]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Franck-Hertz Experiment]]&lt;br /&gt;
*[[Power (Mechanical)]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
**[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
*[[Electronic Energy Levels]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Specific Heat Capacity]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Energy Density]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
**[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&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;
===Collisions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Collisions]] &lt;br /&gt;
Collisions are events that happen very frequently in our day-to-day world. A collision is any sort of process in which before and after a short time interval there is little interaction, but during that short time interval there are large interactions. When looking at collisions, it is first important to understand two very important principles: the Momentum Principle and the Energy Principle. Both principles serve use when talking of collisions because they provide a way in which to analyze these collisions. Collisions themselves can be categorized into 3 main different types: maximally inelastic collisions, elastic collisions, and inelastic collisions. All 3 collisions will get touched on in more detail further on. &lt;br /&gt;
*[[Maximally Inelastic Collisions]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
*[[testing123]]&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;
===Fields===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Electric Field]] of a&lt;br /&gt;
** [[Point Charge]]&lt;br /&gt;
** [[Electric Dipole]]&lt;br /&gt;
** [[Capacitor]]&lt;br /&gt;
** [[Charged Rod]]&lt;br /&gt;
** [[Charged Ring]]&lt;br /&gt;
** [[Charged Disk]]&lt;br /&gt;
** [[Charged Spherical Shell]]&lt;br /&gt;
** [[Charged Cylinder]]&lt;br /&gt;
** [[Charge Density]]&lt;br /&gt;
**[[A Solid Sphere Charged Throughout Its Volume]]&lt;br /&gt;
*[[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;
**[[Sign of Potential Difference]]&lt;br /&gt;
**[[Potential Difference in an Insulator]]&lt;br /&gt;
**[[Energy Density and Electric Field]]&lt;br /&gt;
** [[Systems of Charged Objects]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
**[[Polarization of an Atom]]&lt;br /&gt;
*[[Charge Motion in Metals]]&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
**[[Right-Hand Rule]]&lt;br /&gt;
**[[Direction of Magnetic Field]]&lt;br /&gt;
**[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
**[[Magnetic Field of a Loop]]&lt;br /&gt;
**[[Magnetic Field of a Solenoid]]&lt;br /&gt;
**[[Bar Magnet]]&lt;br /&gt;
**[[Magnetic Dipole Moment]]&lt;br /&gt;
***[[Stern-Gerlach Experiment]]&lt;br /&gt;
**[[Magnetic Force]]&lt;br /&gt;
**[[Earth&#039;s Magnetic Field]]&lt;br /&gt;
**[[Atomic Structure of Magnets]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
**[[Magnetic Torque]]&lt;br /&gt;
**[[Hall Effect]]&lt;br /&gt;
**[[Lorentz Force]]&lt;br /&gt;
**[[Biot-Savart Law]]&lt;br /&gt;
**[[Biot-Savart Law for Currents]]&lt;br /&gt;
**[[Integration Techniques for Magnetic Field]]&lt;br /&gt;
**[[Sparks in Air]]&lt;br /&gt;
**[[Motional Emf]]&lt;br /&gt;
**[[Detecting a Magnetic Field]]&lt;br /&gt;
**[[Moving Point Charge]]&lt;br /&gt;
**[[Non-Coulomb Electric Field]]&lt;br /&gt;
**[[Motors and Generators]]&lt;br /&gt;
**[[Solenoid Applications]]&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;
===Simple Circuits===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Components]]&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[Thin and Thick Wires]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Resistivity]]&lt;br /&gt;
*[[Power in a circuit]]&lt;br /&gt;
*[[Ammeters,Voltmeters,Ohmmeters]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
**[[AC]]&lt;br /&gt;
*[[Ohm&#039;s Law]]&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[RC]]&lt;br /&gt;
*[[AC vs DC]]&lt;br /&gt;
*[[Charge in a RC Circuit]]&lt;br /&gt;
*[[Current in a RC circuit]]&lt;br /&gt;
*[[Circular Loop of Wire]]&lt;br /&gt;
*[[Current in a RL Circuit]]&lt;br /&gt;
*[[RL Circuit]]&lt;br /&gt;
*[[LC Circuit]]&lt;br /&gt;
*[[Surface Charge Distributions]]&lt;br /&gt;
*[[Feedback]]&lt;br /&gt;
*[[Transformers (Circuits)]]&lt;br /&gt;
*[[Resistors and Conductivity]]&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;
&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 Flux Theorem]]&lt;br /&gt;
**[[Electric Fields]]&lt;br /&gt;
***[[Examples of Flux Through Surfaces and Objects]]&lt;br /&gt;
**[[Magnetic Fields]]&lt;br /&gt;
*[[Ampere&#039;s 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;
*[[Faraday&#039;s Law]]&lt;br /&gt;
**[[Curly Electric Fields]]&lt;br /&gt;
**[[Inductance]]&lt;br /&gt;
***[[Transformers (Physics)]]&lt;br /&gt;
***[[Energy Density]]&lt;br /&gt;
**[[Lenz&#039;s Law]]&lt;br /&gt;
***[[Lenz Effect and the Jumping Ring]]&lt;br /&gt;
**[[Lenz&#039;s Rule]]&lt;br /&gt;
**[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&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;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Radiation===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Producing a Radiative Electric Field]]&lt;br /&gt;
*[[Sinusoidal Electromagnetic Radiaton]]&lt;br /&gt;
*[[Lenses]]&lt;br /&gt;
*[[Energy and Momentum Analysis in Radiation]]&lt;br /&gt;
**[[Poynting Vector]]&lt;br /&gt;
*[[Electromagnetic Propagation]]&lt;br /&gt;
**[[Wavelength and Frequency]]&lt;br /&gt;
*[[Snell&#039;s Law]]&lt;br /&gt;
*[[Effects of Radiation on Matter]]&lt;br /&gt;
*[[Light Propagation Through a Medium]]&lt;br /&gt;
*[[Light Scaterring: Why is the Sky Blue]]&lt;br /&gt;
*[[Light Refraction: Bending of light]]&lt;br /&gt;
*[[Cherenkov Radiation]]&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;
===Sound===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Doppler Effect]]&lt;br /&gt;
*[[Nature, Behavior, and Properties of Sound]]&lt;br /&gt;
*[[Resonance]]&lt;br /&gt;
*[[Sound Barrier]]&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;
===Waves===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Multisource Interference: Diffraction]]&lt;br /&gt;
*[[Standing waves]]&lt;br /&gt;
*[[Gravitational waves]]&lt;br /&gt;
*[[Plasma waves]]&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[Electromagnetic Waves]]&lt;br /&gt;
*[[Electromagnetic Spectrum]]&lt;br /&gt;
*[[Color Light Wave]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Pendulum Motion]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
*[[Planck&#039;s Relation]]&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;
===Real Life Applications of Electromagnetic Principles===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Junkyard Cranes]]&lt;br /&gt;
*[[Maglev Trains]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
*[[Metal Detectors]]&lt;br /&gt;
*[[Speakers]]&lt;br /&gt;
*[[Radios]]&lt;br /&gt;
*[[Ampullae of Lorenzini]]&lt;br /&gt;
*[[Electrocytes]]&lt;br /&gt;
*[[Generator]]&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;
===Optics===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mirrors]]&lt;br /&gt;
*[[Refraction]]&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;
== 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;/div&gt;</summary>
		<author><name>Ethomas47</name></author>
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