Physics Book - User contributions [en]

Gauss's Law

2016-04-12T17:33:10Z

Jjohnson396:

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law is useful in determining the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

==Examples==

In order to apply Gauss's Law, it is important to be certain you are working with a closed surface, then set electric flux equal to the internal field divided by the permittivity (epsilon not). An example of this Law being applied can be found below.

[[File:Gauss_law3.png]]

Below is a further example of Gauss's Law with explanation.

[[File:Gauss_14.jpg]]

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

[[File:220px-Carl_Friedrich_Gauss_(C._A._Jensen).jpg]]

Carl Friedrich Gauss was a German Mathematician and Physicist who contributed notably to a wide variety of fields regarding mathematical and scientific study. He has been referred to as the "greatest mathematician since antiquity" and the "foremost of mathematicians". He is considered one of the most impactful and influential contributors to the fields of Mathematics and Physics in history.

== See also ==

Gauss's Law is tied in closely with the other of Maxwell's equations that can be found here in the Physics Book.

http://physicsbook.gatech.edu/Gauss%27s_Flux_Theorem

http://physicsbook.gatech.edu/Faraday%27s_Law

http://physicsbook.gatech.edu/Magnetic_Flux

http://physicsbook.gatech.edu/Ampere%27s_Law

===External links===

http://physics.info/law-gauss/

https://en.wikipedia.org/wiki/Gauss%27s_law

https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

spiff.rit.edu

study.com

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T17:29:49Z

Jjohnson396: /* Examples */

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

==Examples==

In order to apply Gauss's Law, it is important to be certain you are working with a closed surface, then set electric flux equal to the internal field divided by the permittivity (epsilon not). An example of this Law being applied can be found below.

[[File:Gauss_law3.png]]

Below is a further example of Gauss's Law with explanation.

[[File:Gauss_14.jpg]]

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

[[File:220px-Carl_Friedrich_Gauss_(C._A._Jensen).jpg]]

Carl Friedrich Gauss was a German Mathematician and Physicist who contributed notably to a wide variety of fields regarding mathematical and scientific study. He has been referred to as the "greatest mathematician since antiquity" and the "foremost of mathematicians". He is considered one of the most impactful and influential contributors to the fields of Mathematics and Physics in history.

== See also ==

Gauss's Law is tied in closely with the other of Maxwell's equations that can be found here in the Physics Book.

http://physicsbook.gatech.edu/Gauss%27s_Flux_Theorem

http://physicsbook.gatech.edu/Faraday%27s_Law

http://physicsbook.gatech.edu/Magnetic_Flux

http://physicsbook.gatech.edu/Ampere%27s_Law

===External links===

http://physics.info/law-gauss/

https://en.wikipedia.org/wiki/Gauss%27s_law

https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

spiff.rit.edu

study.com

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T17:29:25Z

Jjohnson396: /* Examples */

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

==Examples==

In order to apply Gauss's Law, it is important to be certain you are working with a closed surface, then set electric flux equal to the internal field divided by the permittivity (epsilon not). An example of this Law being applied can be found below.

[[File:Gauss_law3.png]]

Below is a further example of Gauss's Law in action.

[[File:Gauss_14.jpg]]

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

[[File:220px-Carl_Friedrich_Gauss_(C._A._Jensen).jpg]]

Carl Friedrich Gauss was a German Mathematician and Physicist who contributed notably to a wide variety of fields regarding mathematical and scientific study. He has been referred to as the "greatest mathematician since antiquity" and the "foremost of mathematicians". He is considered one of the most impactful and influential contributors to the fields of Mathematics and Physics in history.

== See also ==

Gauss's Law is tied in closely with the other of Maxwell's equations that can be found here in the Physics Book.

http://physicsbook.gatech.edu/Gauss%27s_Flux_Theorem

http://physicsbook.gatech.edu/Faraday%27s_Law

http://physicsbook.gatech.edu/Magnetic_Flux

http://physicsbook.gatech.edu/Ampere%27s_Law

===External links===

http://physics.info/law-gauss/

https://en.wikipedia.org/wiki/Gauss%27s_law

https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

spiff.rit.edu

study.com

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T17:28:33Z

Jjohnson396: /* Examples */

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

==Examples==

In order to apply Gauss's Law, it is important to be certain you are working with a closed surface, then set electric flux equal to the internal field divided by the permittivity (epsilon not).

[[File:Gauss_law3.png]]

[[File:Gauss_14.jpg]]

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

[[File:220px-Carl_Friedrich_Gauss_(C._A._Jensen).jpg]]

Carl Friedrich Gauss was a German Mathematician and Physicist who contributed notably to a wide variety of fields regarding mathematical and scientific study. He has been referred to as the "greatest mathematician since antiquity" and the "foremost of mathematicians". He is considered one of the most impactful and influential contributors to the fields of Mathematics and Physics in history.

== See also ==

Gauss's Law is tied in closely with the other of Maxwell's equations that can be found here in the Physics Book.

http://physicsbook.gatech.edu/Gauss%27s_Flux_Theorem

http://physicsbook.gatech.edu/Faraday%27s_Law

http://physicsbook.gatech.edu/Magnetic_Flux

http://physicsbook.gatech.edu/Ampere%27s_Law

===External links===

http://physics.info/law-gauss/

https://en.wikipedia.org/wiki/Gauss%27s_law

https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

spiff.rit.edu

study.com

[[Category:Which Category did you place this in?]]

File:Gauss 14.jpg

2016-04-12T17:26:51Z

Jjohnson396:

File:Gauss law3.png

2016-04-12T17:26:02Z

Jjohnson396:

Gauss's Law

2016-04-12T17:25:34Z

Jjohnson396: /* References */

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

[[File:220px-Carl_Friedrich_Gauss_(C._A._Jensen).jpg]]

Carl Friedrich Gauss was a German Mathematician and Physicist who contributed notably to a wide variety of fields regarding mathematical and scientific study. He has been referred to as the "greatest mathematician since antiquity" and the "foremost of mathematicians". He is considered one of the most impactful and influential contributors to the fields of Mathematics and Physics in history.

== See also ==

Gauss's Law is tied in closely with the other of Maxwell's equations that can be found here in the Physics Book.

http://physicsbook.gatech.edu/Gauss%27s_Flux_Theorem

http://physicsbook.gatech.edu/Faraday%27s_Law

http://physicsbook.gatech.edu/Magnetic_Flux

http://physicsbook.gatech.edu/Ampere%27s_Law

===External links===

http://physics.info/law-gauss/

https://en.wikipedia.org/wiki/Gauss%27s_law

https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

spiff.rit.edu

study.com

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T17:23:12Z

Jjohnson396:

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

[[File:220px-Carl_Friedrich_Gauss_(C._A._Jensen).jpg]]

Carl Friedrich Gauss was a German Mathematician and Physicist who contributed notably to a wide variety of fields regarding mathematical and scientific study. He has been referred to as the "greatest mathematician since antiquity" and the "foremost of mathematicians". He is considered one of the most impactful and influential contributors to the fields of Mathematics and Physics in history.

== See also ==

Gauss's Law is tied in closely with the other of Maxwell's equations that can be found here in the Physics Book.

http://physicsbook.gatech.edu/Gauss%27s_Flux_Theorem

http://physicsbook.gatech.edu/Faraday%27s_Law

http://physicsbook.gatech.edu/Magnetic_Flux

http://physicsbook.gatech.edu/Ampere%27s_Law

===External links===

http://physics.info/law-gauss/

https://en.wikipedia.org/wiki/Gauss%27s_law

https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T17:19:15Z

Jjohnson396: /* External links */

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

[[File:220px-Carl_Friedrich_Gauss_(C._A._Jensen).jpg]]

Carl Friedrich Gauss was a German Mathematician and Physicist who contributed notably to a wide variety of fields regarding mathematical and scientific study. He has been referred to as the "greatest mathematician since antiquity" and the "foremost of mathematicians". He is considered one of the most impactful and influential contributors to the fields of Mathematics and Physics in history.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

http://physics.info/law-gauss/

https://en.wikipedia.org/wiki/Gauss%27s_law

https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T17:17:14Z

Jjohnson396: /* History */

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

[[File:220px-Carl_Friedrich_Gauss_(C._A._Jensen).jpg]]

Carl Friedrich Gauss was a German Mathematician and Physicist who contributed notably to a wide variety of fields regarding mathematical and scientific study. He has been referred to as the "greatest mathematician since antiquity" and the "foremost of mathematicians". He is considered one of the most impactful and influential contributors to the fields of Mathematics and Physics in history.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

File:220px-Carl Friedrich Gauss (C. A. Jensen).jpg

2016-04-12T17:16:51Z

Jjohnson396:

Gauss's Law

2016-04-12T17:12:43Z

Jjohnson396:

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

==Connectedness==
Gauss's Law, as well as the other Maxwell Equations form a basis for electrodynamics. They are the fundamental core of this field of study.
Magnetostatics study is also closely related to Gauss' Law, but in particular Gauss's Law of Magnetism, which is very similar to Gauss's Law relating to electric fields.

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T14:54:17Z

Jjohnson396: /* A Mathematical Model */

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law, also known as Gauss's flux theorem, discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen on the left side of this diagram, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T14:52:55Z

Jjohnson396:

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law, also known as Gauss's flux theorem, discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity. There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found in the diagram below. As can be seen, change in flux equals electric field multiplied by change in area.

[[File:Gaulaw.gif]]

To more clearly state it, the formula for this Law is the electric flux equals the total charge contained by a closed surface, divided by the permittivity (epsilon zero).

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T14:46:40Z

Jjohnson396:

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law, also known as Gauss's flux theorem, discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity (often written using 'Epsilon'). There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found here.
[[File:Gaulaw.gif]]

[[File:Adc2dff3156800a39ef0a9df76a7d868.png]]

What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T14:45:38Z

Jjohnson396:

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law, also known as Gauss's flux theorem, discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity (often written using 'Epsilon'). There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

A very helpful and clear summary of this Law can be found here.
Gaulaw.gif

Adc2dff3156800a39ef0a9df76a7d868.png

What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

File:Gaulaw.gif

2016-04-12T14:43:43Z

Jjohnson396:

File:Adc2dff3156800a39ef0a9df76a7d868.png

2016-04-12T14:42:33Z

Jjohnson396:

Gauss's Law

2016-04-12T14:41:00Z

Jjohnson396:

'''Claimed by Kel Johnson'''

One of Maxwell's Equations, formulated by Carl Friedrich Gauss. Gauss's Law, also known as Gauss's flux theorem, discusses the relationship between electric charge and the surrounding field caused by the charge.

==The Main Idea==

The idea of Gauss's Law is that the electric flux out of a closed surface is equivalent to the charge enclosed, divided by the permittivity (often written using 'Epsilon'). There is a near identical law to this law, known as Gauss's law for Magnetism. The variation found is that magnetic fields are used instead of electric fields in the calculations. Also, Gauss's Law for Gravity is very similar as well. To state it again, the electric flux passing through a closed surface is the same as the charge enclosed, divided by permittivity of the surface. This implies that the electric flux is proportional to the total charge enclosed. Any closed surface can be have Gauss's Law applied to it. For symmetrically shaped objects, Gauss's Law greatly simplifies calculation of electric field enclosed by surface.

===A Mathematical Model===

What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html

[[Category:Which Category did you place this in?]]

Gauss's Law

2016-04-12T14:07:29Z

Jjohnson396: Created page with "'''Claimed by Kel Johnson''' Short Description of Topic ==The Main Idea== State, in your own words, the main idea for this topic Electric Field of Capacitor ===A Mathemat..."

'''Claimed by Kel Johnson'''

Short Description of Topic

==The Main Idea==

State, in your own words, the main idea for this topic
Electric Field of Capacitor

===A Mathematical Model===

What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

David J. Wineland

2016-01-13T01:55:23Z

Jjohnson396:

Claimed by Jeremiah Johnson, Spring 2016

Pierre Laplace

2015-12-02T16:32:01Z

Jjohnson396:

The Life and Scientific Achievement of Pierre Laplace, compiled by Jeremiah Johnson

[[File:1005054-Pierre_Simon_marquis_de_Laplace.jpg]]

==Personal Life==

Pierre Laplace was born on the March 23, 1749 to a man also named Pierre Laplace, and a woman by the name of Marie-Anne Sochon in Beaumont-en-Auge, Normandy. His family was involved in agriculture, and his father also worked as a cider merchant and town syndic. His education began at a small village school from which he gained a foundation in education that was furthered at the University of Caen, where he began studying theology at the age of 16. He branched out from theology when he was mentored by Christophe Gadbled and Pierre Le Canu, two mathematics professors at the University. He was very fond of mathematical study and his excellence in the field was noticed quickly. He soon determined that his future did not lie in theology or priesthood, so he became a full-time mathematician as his profession. He left the University of Caen and traveled to Paris with intent of studying under a supreme scientist of that day by the name of Jean le Rond d'Alembert, carrying recommendation from his prior mentor Le Canu. He impressed d'Alembert repeatedly with outstanding mathematical understanding, and he was soon giving a teaching job where he secured an income allowing him to put time into research. In this time, from 1771-1787, he produced much of his scientific work, particularly in Astronomy. In 1788, he married a girl by the name of Marie-Charlotte de Courty de Romanges who was 18, which was less than half of his 39 years of age, and they had a son and daughter soon after as well. Before his death in Paris in 1827, Laplace had earned the reputation of a renowned mathematician, astronomer, and physicist, best known for his studies in the stability of the solar system and mechanics of the universe.

==Contributions to Science==

Laplace began his scientific works by delving off into the field of Astronomy and Celestial Mechanics. He studied works from Sir Isaac Newton, and looked through his laws of motion and universal gravitation to make his own theories about the function of the universe, and then went on to author many works instrumental in the determining of the laws of gravitation and universe stability. While studying the stability and predictability of the solar system, he wrote much on Spherical Harmonics and what was then called Laplace Coefficients. He proceeded to use his mathematical skills to tie in scalar potential to calculus using a differential equation and simplifying vectors to define things for the first time in a mathematical physics. He continued on in his studies to discuss planetary inequalities and the notable differences between Jupiter and Saturn, as well as discussing lunar inequalities. During Laplace's time spent studying the Solar System, significant strides were made in explaining the great confusion scientists had before to how the many celestial bodies interacted. Another notable scientist of that era, Jean-Baptiste Biot, who assisted Laplace when hew as trying to fix his work to be more press-friendly, noted that occasionally when he was re-working his solutions to these problems with Universe he would even have trouble retracing his steps and reaching the same conclusions. He would then suffice it to say, "It is easy to see that..." As his life progressed, Laplace studied black holes, came up with many probability and statistical calculations, as well as mathematical advancements with integral approximation and linear equations.

==Far-Reaching Effects of His Work==
Pierre Laplace did much in defining and determining laws of the Universe known today as Gravitational Potential in the field of Celestial Mechanics, as well as defining spherical harmonics. Laplace also came very close to explaining black holes and the nature of their existence by saying they were perhaps giant stars whose gravity was so great that not even light had the capacity to extend beyond their reaches. His work also extends deeply into the field of Calculus and Applied Mathematics taught today at universities world wide. His work in the field of probabilities is taught universally as well, with his simple definitions being introduced at elementary levels and continuing to be advanced throughout the stages of education. While his works expand across a wide field of subjects, it is unquestionable that his greatest discoveries were early in his career when he delved deeply and unprecedentedly into the field of Solar System stability and mechanics.

==External links==
http://www.famousscientists.org/pierre-simon-laplace/ ;
http://www.britannica.com/biography/Pierre-Simon-marquis-de-Laplace ;
http://scienceworld.wolfram.com/biography/Laplace.html .

==References==
Britannica Encyclopedia;
Wolfram Online;
Famous Sientists Online-The Art of Genius.

[[Category:Notable Scientists]]

Pierre Laplace

2015-12-02T16:31:08Z

Jjohnson396:

The Life and Scientific Achievement of Pierre Laplace, compiled by Jeremiah Johnson

[[File:1005054-Pierre_Simon_marquis_de_Laplace.jpg]]

==Personal Life==

Pierre Laplace was born on the March 23, 1749 to a man also named Pierre Laplace, and a woman by the name of Marie-Anne Sochon in Beaumont-en-Auge, Normandy. His family was involved in agriculture, and his father also worked as a cider merchant and town syndic. His education began at a small village school from which he gained a foundation in education that was furthered at the University of Caen, where he began studying theology at the age of 16. He branched out from theology when he was mentored by Christophe Gadbled and Pierre Le Canu, two mathematics professors at the University. He was very fond of mathematical study and his excellence in the field was noticed quickly. He soon determined that his future did not lie in theology or priesthood, so he became a full-time mathematician as his profession. He left the University of Caen and traveled to Paris with intent of studying under a supreme scientist of that day by the name of Jean le Rond d'Alembert, carrying recommendation from his prior mentor Le Canu. He impressed d'Alembert repeatedly with outstanding mathematical understanding, and he was soon giving a teaching job where he secured an income allowing him to put time into research. In this time, from 1771-1787, he produced much of his scientific work, particularly in Astronomy. In 1788, he married a girl by the name of Marie-Charlotte de Courty de Romanges who was 18, which was less than half of his 39 years of age, and they had a son and daughter soon after as well. Before his death in Paris in 1827, Laplace had earned the reputation of a renowned mathematician, astronomer, and physicist, best known for his studies in the stability of the solar system and mechanics of the universe.

==Contributions to Science==

Laplace began his scientific works by delving off into the field of Astronomy and Celestial Mechanics. He studied works from Sir Isaac Newton, and looked through his laws of motion and universal gravitation to make his own theories about the function of the universe, and then went on to author many works instrumental in the determining of the laws of gravitation and universe stability. While studying the stability and predictability of the solar system, he wrote much on Spherical Harmonics and what was then called Laplace Coefficients. He proceeded to use his mathematical skills to tie in scalar potential to calculus using a differential equation and simplifying vectors to define things for the first time in a mathematical physics. He continued on in his studies to discuss planetary inequalities and the notable differences between Jupiter and Saturn, as well as discussing lunar inequalities. During Laplace's time spent studying the Solar System, significant strides were made in explaining the great confusion scientists had before to how the many celestial bodies interacted. Another notable scientist of that era, Jean-Baptiste Biot, who assisted Laplace when hew as trying to fix his work to be more press-friendly, noted that occasionally when he was re-working his solutions to these problems with Universe he would even have trouble retracing his steps and reaching the same conclusions. He would then suffice it to say, "It is easy to see that..." As his life progressed, Laplace studied black holes, came up with many probability and statistical calculations, as well as mathematical advancements with integral approximation and linear equations.

==Far-Reaching Effects of His Work==
Pierre Laplace did much in defining and determining laws of the Universe known today as Gravitational Potential in the field of Celestial Mechanics, as well as defining spherical harmonics. Laplace also came very close to explaining black holes and the nature of their existence by saying they were perhaps giant stars whose gravity was so great that not even light had the capacity to extend beyond their reaches. His work also extends deeply into the field of Calculus and Applied Mathematics taught today at universities world wide. His work in the field of probabilities is taught universally as well, with his simple definitions being introduced at elementary levels and continuing to be advanced throughout the stages of education. While his works expand across a wide field of subjects, it is unquestionable that his greatest discoveries were early in his career when he delved deeply and unprecedentedly into the field of Solar System stability and mechanics.

==External links==
http://www.famousscientists.org/pierre-simon-laplace/
http://www.britannica.com/biography/Pierre-Simon-marquis-de-Laplace
http://scienceworld.wolfram.com/biography/Laplace.html

==References==
Britannica Encyclopedia
Wolfram Online
Famous SCientists Online, The Art of Genius

[[Category:Notable Scientists]]

Pierre Laplace

2015-12-02T06:04:44Z

Jjohnson396:

Pierre Laplace

2015-12-02T06:03:01Z

Jjohnson396:

Pierre Laplace

2015-12-02T05:52:43Z

Jjohnson396:

File:1005054-Pierre Simon marquis de Laplace.jpg

2015-12-02T05:46:21Z

Jjohnson396: