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	<updated>2026-05-06T03:14:21Z</updated>
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	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=4610</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=4610"/>
		<updated>2015-11-30T19:47:03Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. The system is not considered to be in equilibrium, therefore there is a movement of a mobile sea of electrons, which causes an electric current in the wire. Ideal loops are considered to be circular, so for the sake of calculations, a perfectly circular loop will be used. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^{3/2}} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
===Multiple Loops===&lt;br /&gt;
&lt;br /&gt;
In many scenarios, electric current will run through a formation of a number of loops, N. In this case, the magnitude of the induced magnetic field can be found by calculating the field produced by one loop and multiplying it by the number of loops.&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Magnetic fields from electric loops are observed often in science. For example, a solenoid is often modeled as a bunch of loops contributing to a collective magnetic field. It is important to be able to model the field, since many scientific applications of magnetism involve circular loops. The calculations can be compared to experiments done in the lab. &lt;br /&gt;
In all concentrations of engineering, electric and magnetic properties are important. For example, these concepts can be applied to the synthesis and manufacturing of conductors and carbon nanotubes. In many electrical experiments, it is important to understand how objects will be impacted by the creation of an induced magnetic field.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=4599</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=4599"/>
		<updated>2015-11-30T19:41:26Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. The system is not considered to be in equilibrium, therefore there is a movement of a mobile sea of electrons, which causes an electric current in the wire. Ideal loops are considered to be circular, so for the sake of calculations, a perfectly circular loop will be used. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^{3/2}} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
===Multiple Loops===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Magnetic fields from electric loops are observed often in science. For example, a solenoid is often modeled as a bunch of loops contributing to a collective magnetic field. It is important to be able to model the field, since many scientific applications of magnetism involve circular loops. The calculations can be compared to experiments done in the lab. &lt;br /&gt;
In all concentrations of engineering, electric and magnetic properties are important. For example, these concepts can be applied to the synthesis and manufacturing of conductors and carbon nanotubes. In many electrical experiments, it is important to understand how objects will be impacted by the creation of an induced magnetic field.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=4594</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=4594"/>
		<updated>2015-11-30T19:39:10Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. The system is not considered to be in equilibrium, therefore there is a movement of a mobile sea of electrons, which causes an electric current in the wire. Ideal loops are considered to be circular, so for the sake of calculations, a perfectly circular loop will be used. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^{3/2}} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
===Multiple Loops===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Magnetic fields from electric loops are observed often in science. For example, a solenoid is often modeled as a bunch of loops contributing to a collective magnetic field. It is important to be able to model the field, since many scientific applications of magnetism involve circular loops. The calculations can be compared to experiments done in the lab. Even in engineering, electric and magnetic properties are important. These concepts can be applied to the synthesis and manufacturing of conductors and carbon nanotubes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3450</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3450"/>
		<updated>2015-11-29T19:44:52Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^{3/2}} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Magnetic fields from electric loops are observed often in science. For example, a solenoid is often modeled as a bunch of loops contributing to a collective magnetic field. It is important to be able to model the field, since many scientific applications of magnetism involve circular loops. The calculations can be compared to experiments done in the lab. Even in engineering, electric and magnetic properties are important. These concepts can be applied to the synthesis and manufacturing of conductors and carbon nanotubes.&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
WHAT WAS THE HISTORY  &lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3448</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3448"/>
		<updated>2015-11-29T19:44:24Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^{3/2}} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Magnetic fields from electric loops are observed often in science. For example, a solenoid is often modeled as a bunch of loops contributing to a collective magnetic field. It is important to be able to model the field, since many scientific applications of magnetism involve circular loops. The calculations can be compared to experiments done in the lab. Even in engineering, electric and magnetic properties are important. These concepts can be applied to the synthesis and manufacturing of conductors and carbon nanotubes.&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
WHAT WAS THE HISTORY  &lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3438</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3438"/>
		<updated>2015-11-29T19:35:04Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^{3/2}} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3436</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3436"/>
		<updated>2015-11-29T19:34:42Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^{1.5}} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3423</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3423"/>
		<updated>2015-11-29T19:20:12Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^1.5} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3421</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3421"/>
		<updated>2015-11-29T19:19:38Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop. Formulas have been derived to assist in the calculation of these magnetic fields.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^1.5} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3419</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3419"/>
		<updated>2015-11-29T19:18:59Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula. Calculation of magnetic field off of this axis is much more difficult, and usually requires the assistance of computer software. For this reason, only the calculation on axis will be addressed.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^1.5} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis.&lt;br /&gt;
&lt;br /&gt;
The magnetic field pattern for locations outside the ring points in the opposite direction, in accordance with the right hand rule. The right fingers still point in the direction of the current, however the observational vector perpendicular to the perimeter of the loop is now in the opposite direction. Thus, the magnetic field is in the opposite direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3380</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3380"/>
		<updated>2015-11-29T18:57:52Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^1.5} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z is much greater than R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis. &lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3377</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3377"/>
		<updated>2015-11-29T18:57:12Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^1.5} \text{ ,where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
If the distance from the center of the loop is much greater than the radius of the loop, an approximation can be made. The formula can be simplified to&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{z^3} \text{ ,where z &amp;gt;&amp;gt; R} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Direction of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
The right hand rule can be used to find the direction of the magnetic field at a given point. Putting your right fingers in the direction of the conventional current, and curling them over the vector r will allow your thumb to point in the direction of the magnetic field. For example, a conventional current, I, running counterclockwise would produce a field pointing out of the page on the z-axis. This rule holds regardless of where the observational location is on the center axis. &lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3357</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3357"/>
		<updated>2015-11-29T18:40:27Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^1.5} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This allows for the calculation of the magnitude in units of Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3354</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3354"/>
		<updated>2015-11-29T18:39:51Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I \pi R^2}{(z^2 + R^2)^1.5} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3353</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3353"/>
		<updated>2015-11-29T18:39:20Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2I\piR^2}{(z^2 + R^2)^1.5} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3351</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3351"/>
		<updated>2015-11-29T18:38:33Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^1.5} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3345</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3345"/>
		<updated>2015-11-29T18:35:05Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^1.5} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis}&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3343</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3343"/>
		<updated>2015-11-29T18:34:33Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)&amp;lt;sup&amp;gt;(3/2)} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis}&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3333</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3333"/>
		<updated>2015-11-29T18:31:02Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)&amp;lt;sup&amp;gt;(3/2)&amp;lt;/sup&amp;gt;} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis}&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3322</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3322"/>
		<updated>2015-11-29T18:29:00Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^1^.^5} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis}&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3321</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3321"/>
		<updated>2015-11-29T18:28:32Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^(1.5)} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis}&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3318</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3318"/>
		<updated>2015-11-29T18:27:58Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^1.5} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis}&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3315</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3315"/>
		<updated>2015-11-29T18:27:15Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^(3/2)} \text{ where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis}&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3314</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3314"/>
		<updated>2015-11-29T18:26:08Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{\mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2}^(3/2) \text{where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis}&lt;br /&gt;
&lt;br /&gt;
. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3293</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3293"/>
		<updated>2015-11-29T18:12:12Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2^)(3/2)}&lt;br /&gt;
&lt;br /&gt;
where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3292</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3292"/>
		<updated>2015-11-29T18:11:44Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{mu_0}{4 \pi} \frac{2IpiR^2}{z^2 + R^2^(3/2)}&lt;br /&gt;
&lt;br /&gt;
where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3290</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3290"/>
		<updated>2015-11-29T18:11:21Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{mu_0}{4 \pi} \frac{2IpiR^2}{z^2 + R^2^(3/2)} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3286</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3286"/>
		<updated>2015-11-29T18:09:15Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;br /&gt;
&lt;br /&gt;
== Creation of a Magnetic Loop==&lt;br /&gt;
&lt;br /&gt;
Like other magnetic field patterns, A magnetic field can be created through motion of charge through a loop. Ideal loops are considered to be circular. Thus, the conventional current is directed clockwise or counterclockwise through the loop.&lt;br /&gt;
&lt;br /&gt;
==Calculation of Magnetic Field==&lt;br /&gt;
&lt;br /&gt;
The magnetic field created by a loop is easiest to calculate on axis. This means drawing a line though the center of the loop perpendicular to the circumference. This axis is commonly referred to as the &amp;quot;z-axis.&amp;quot; The magnetic field is calculated by integrating across the bounds of the loop (0 to 2 pi), but can also be approximated with great accuracy using a derived formula.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
When calculating the magnetic field at a point on the z-axis, one can use the following formula:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\vec B=\frac{mu_0}{4 \pi} \frac{2IpiR^2}{(z^2 + R^2)^(3/2)}\&lt;br /&gt;
&lt;br /&gt;
where R is the radius of the circular loop, and z is the distance from the center of the loop on the axis. This allows for the calculation of the magnitude in the unit, Teslas.&lt;br /&gt;
&lt;br /&gt;
===Magnitude of Magnetic Field on z-axis===&lt;br /&gt;
&lt;br /&gt;
blah blah blah direction.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions Vol. II&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3202</id>
		<title>Magnetic Field of a Loop</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Magnetic_Field_of_a_Loop&amp;diff=3202"/>
		<updated>2015-11-29T17:12:42Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: Created page with &amp;quot;Claimed by Jeffrey Mullavey&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Jeffrey Mullavey&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=3201</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=3201"/>
		<updated>2015-11-29T17:12:09Z</updated>

		<summary type="html">&lt;p&gt;Jmullavey3: /* Fields */&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;
*[[Detecting Interactions]]&lt;br /&gt;
*[[Fundamental Interactions]]  &lt;br /&gt;
*[[System &amp;amp; Surroundings]] &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;
&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;
*[[Quantum Theory]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Notable Scientists===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&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;
*[[Marie Curie]]&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;
&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;
*[[Density]]&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
*[[Spin]]&lt;br /&gt;
*[[SI Units]]&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;
===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;
&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;
* [[Predicting Change in multiple dimensions]]&lt;br /&gt;
* [[Momentum Principle]]&lt;br /&gt;
* [[Impulse Momentum]]&lt;br /&gt;
* [[Curving Motion]]&lt;br /&gt;
* [[Multi-particle Analysis of Momentum]]&lt;br /&gt;
* [[Iterative Prediction]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&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;
* [[Rotation]]&lt;br /&gt;
* [[Torque]]&lt;br /&gt;
*[[Systems with Zero Torque]]&lt;br /&gt;
* [[Right Hand Rule]]&lt;br /&gt;
* [[Angular Velocity]]&lt;br /&gt;
* [[Predicting a Change in Rotation]]&lt;br /&gt;
* [[Conservation of Angular Momentum]]&lt;br /&gt;
*[[Rotational Angular Momentum]]&lt;br /&gt;
*[[Total Angular 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;
*[[Predicting Change]]&lt;br /&gt;
*[[Rest Mass Energy]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Work]]&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;
*[[Internal Energy]]&lt;br /&gt;
*[[Energy Diagrams]]&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Franck-Hertz Experiment]]&lt;br /&gt;
*[[Power]]&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;
*[[Maximally Inelastic Collision]]&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;
*[[Rutherford Experiment and Atomic Collisions]]&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;
**[[A Solid Sphere Charged Throughout Its Volume]]&lt;br /&gt;
*[[Electric Potential]] &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;
*[[Electric Force]]&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
*[[Charge Motion in Metals]]&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;
**[[Bar Magnet]]&lt;br /&gt;
**[[Magnetic Force]]&lt;br /&gt;
**[[Hall Effect]]&lt;br /&gt;
**[[Lorentz Force]]&lt;br /&gt;
**[[Biot-Savart Law]]&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;
&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;
*[[Node Rule]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Power in a circuit]]&lt;br /&gt;
*[[Ammeters,Voltmeters,Ohmmeters]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
*[[Ohm&#039;s Law]]&lt;br /&gt;
*[[RC]]&lt;br /&gt;
*[[Circular Loop of Wire]]&lt;br /&gt;
*[[RL Circuit]]&lt;br /&gt;
*[[LC Circuit]]&lt;br /&gt;
*[[Surface Charge Distributions]]&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;
**[[Magnetic Fields]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
**[[Inductance]]&lt;br /&gt;
**[[Lenz&#039;s Law]]&lt;br /&gt;
***[[Lenz Effect and the Jumping Ring]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
**[[Superconducters]]&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;
*[[Electromagnetic Propagation]]&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;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
*[[blahb]]&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;
* An overview of [[VPython]]&lt;/div&gt;</summary>
		<author><name>Jmullavey3</name></author>
	</entry>
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