Physics Book - User contributions [en]

Point Charge

2015-12-05T21:21:57Z

Bweiner6: /* Connectedness */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{ This equation becomes Coulomb's Law when multiplied by a second particles's charge. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Field you can easily find the Electric Force one particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, the equation of the electric field due to a point charge was created.

== See also ==

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-05T21:20:13Z

Bweiner6: /* History */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{ This equation becomes Coulomb's Law when multiplied by a second particles's charge. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, the equation of the electric field due to a point charge was created.

== See also ==

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-05T21:18:57Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{ This equation becomes Coulomb's Law when multiplied by a second particles's charge. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== See also ==

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-05T21:18:33Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation becomes when multiplied by a second particles's charge. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== See also ==

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-05T21:17:40Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation also becomes Coulombs's Law when multiplies by a second particles's charge.. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== See also ==

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:34:00Z

Bweiner6: /* Examples */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== See also ==

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:33:03Z

Bweiner6: /* See also */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== See also ==

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:32:46Z

Bweiner6: /* Examples */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== 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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:32:14Z

Bweiner6: /* Further reading */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== 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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Principles of Electrodynamics by Melvin Schwartz
ISBN: 9780486134673

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:29:21Z

Bweiner6: /* Connectedness */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
1.How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

2.How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

3.Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== 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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:28:51Z

Bweiner6: /* References */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== 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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:28:34Z

Bweiner6: /* History */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== 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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:27:38Z

Bweiner6: /* References */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

For centuries it had been know that by rubbing two objects together sometimes they would be able to attract other objects. This is known as the objects being "charged".

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== 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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

Shech, E., & Hatleback, E. (n.d.). The Material Intricacies of Coulomb’s 1785 Electric Torsion Balance Experiment. Retrieved December 3, 2015, from http://philsci-archive.pitt.edu/11048/1/The_Material_Intricacies_of_Coulomb's_1785_Electric_Torsion_Balance_Experiment_(EV).pdf

[[Category:Fields]]

Point Charge

2015-12-03T00:24:23Z

Bweiner6: /* References */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

For centuries it had been know that by rubbing two objects together sometimes they would be able to attract other objects. This is known as the objects being "charged".

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== 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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

Charles-Augustin de Coulomb. (n.d.). Retrieved December 3, 2015, from https://nationalmaglab.org/education/magnet-academy/history-of-electricity-magnetism/pioneers/charles-augustin-de-coulomb

[[Category:Fields]]

Point Charge

2015-12-03T00:20:33Z

Bweiner6: /* History */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==History==

For centuries it had been know that by rubbing two objects together sometimes they would be able to attract other objects. This is known as the objects being "charged".

In the 1780s a French scientist named Charles Coulomb published many scientific papers on electricity and magnetism. While doing experiments, Coulomb had discovered an inverse square relationship between the amount of electric field and the distance between two particles and the electric field pointed in a line between the particles.

Also, he discovered that the charge of an particle (ie. positive or negative) determined the direction of the electric field (either a repulsion or attraction).

From these observations, as well as the use of fundamental constants, Coulomb's Law was created.

== 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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:08:40Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle,}

\text{r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from }
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:08:06Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance}
\text{ between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from}
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:07:41Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from}
\text{the point charge to the observation point.}
\text{This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:05:47Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from \n
the point charge to the observation point. 
This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:05:34Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from \n
the point charge to the observation point. &#xD
This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:04:35Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from \n
the point charge to the observation point. \n
This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:03:47Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from <\br>
the point charge to the observation point.
This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:03:28Z

Bweiner6: /* A Mathematical Model of Electric Field due to Point Charge */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from <br>
the point charge to the observation point.
This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:02:36Z

Bweiner6: /* A Mathematical Model of Electric Field due to Point Charge */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from
the point charge to the observation point.
This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:02:18Z

Bweiner6:

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point. This equation is also called Coulomb's Law. } </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-03T00:01:19Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} This equation is also called Coulomb's Law.}

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-02T23:59:36Z

Bweiner6: /* A Mathematical Model of Electric Field due to Point Charge */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point. This equation is also called Coulomb's Law.}<br>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-02T23:59:19Z

Bweiner6: /* Electric Field */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point. This equation is also called Coulomb's Law.}

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-02T23:58:57Z

Bweiner6: /* A Mathematical Model of Electric Field due to Point Charge */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>. This equation is also called Coulomb's Law.

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-02T16:29:34Z

Bweiner6: /* See also */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields <br>
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-02T16:29:00Z

Bweiner6: /* See also */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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?

[[Electric Field]] More general ideas about electric fields
[[Electric Force]] One application of electric fields due to point charges deals with finding electric force

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-12-02T16:24:12Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-11-13T21:35:54Z

Bweiner6: /* References */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ with a unit r vector} <.841,.432,.3256>. </math>

<math> \text{The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

Step 1: Find magnitude of r vector

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

Matter and Interactions Vol. II

[[Category:Fields]]

Point Charge

2015-11-13T21:35:32Z

Bweiner6: /* References */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ with a unit r vector} <.841,.432,.3256>. </math>

<math> \text{The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

Step 1: Find magnitude of r vector

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

Matter and Interactions Vol II

[[Category:Fields]]

Point Charge

2015-11-13T21:35:07Z

Bweiner6: /* Connectedness */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ with a unit r vector} <.841,.432,.3256>. </math>

<math> \text{The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

Step 1: Find magnitude of r vector

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is that electric fields of point charges can be used to find forces. Then you can predict the motion of various particles by the forces acting on them.

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:38:38Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ with a unit r vector} <.841,.432,.3256>. </math>

<math> \text{The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

Step 1: Find magnitude of r vector

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:38:28Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ with a unit r vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

Step 1: Find magnitude of r vector

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:38:01Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ with a unit r vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{ What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

Step 1: Find magnitude of r vector

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:20:09Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ with a unit r vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{ What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:19:52Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ with a unit vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{ What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:18:55Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{ What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{What is the electric field vector?}
</math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:18:34Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{ What is the magnitude of the distance between the particle and the electric field?} </math>

\text{What is the electric field vector?}

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:18:08Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{ What is the magnitude of the distance between the particle and the electric field?} </math>

What is the electric field vector?

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:17:28Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{ What is the magnitude of the distance between the particle and the electric field?} </math>

<math>
\text{ What is the electric field vector \text </math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:16:57Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

<math>
\text{ What is the magnitude of the distance between the particle and the electric field} </math>

\text{ What is the electric field vector \text </math>
</math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:16:34Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>. </math>

<math> \text{ The particle has a charge of } -2*10^{-4}. </math>

\text{ What is the magnitude of the distance between the particle and the electric field} </math>

\text{ What is the electric field vector \text </math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T01:15:51Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>.

\text{ The particle has a charge of } -2*10^{-4}.

\text{ What is the magnitude of the distance between the particle and the electric field} </math>

\text{ What is the electric field vector \text </math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T00:56:47Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^{-12} \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>.

\text{ Where should a particle with a charge of } -2*10^{-4} \text{be placed in order to create this electric field?} </math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T00:56:21Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^-12 \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>.

\text{ Where should a particle with a charge of } -2*10^{-4} \text{be placed in order to create this electric field?} </math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]

Point Charge

2015-10-29T00:56:03Z

Bweiner6: /* Middling */

This page is all about the [[Electric Field]] due to a Point Charge.

== Electric Field==

A Work In Progress by Brandon Weiner: [[User:bweiner6|bweiner6]] ([[User talk:bweiner6|talk]])

===A Mathematical Model of Electric Field due to Point Charge===

The Electric Field of a Point Charge can be found by the formula:

<math>\vec E=\frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} \hat r,\text{where } \frac{1}{4 \pi \epsilon_0 } \text{is approximately } 9*10^{9} \text{, q is the charge of the particle, r is the magnitude of the distance between the point charge and the observation point, and }</math>
<math>\hat r \text { is the direction of the distance from the point charge to the observation point.} </math>

===A Computational Model===

Here is a link to some code which shows the Electric Field due to an Proton at different points.

<html> <iframe src="https://trinket.io/embed/glowscript/cf036f65f7?start=result" width="100%" height="600" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe> </html>

==Examples==

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

===Simple===

'''Problem 1:''' There is a proton at <1,2,3>. Calculate the electric field at <2,-1,3>.

'''Step 1:''' Find <math>\hat r</math>

Find <math>\vec r_{obs} - \vec r_{proton} (<2,-1,3> - <1,2,3> = <1,-3,0>) </math>

Calculate the magnitude of r. (<math>\sqrt{1^2+(-3)^2+0^2}=\sqrt{10}</math>

From r, find the unit vector <math>\hat{r}.</math> <math> <\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}> </math>

'''Step 2:''' Find the magnitude of the Electric Field

<math> E= \frac{1}{4 \pi \epsilon_0 } \frac{q}{r^2} = \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10} </math>

'''Step 3:''' Multiply the magnitude by <math>\hat{r}</math> to find the Electric Field

E= <math> \frac{1}{4 \pi \epsilon_0 } \frac{1.6 * 10^{-19}}{10}*<\frac{1}{\sqrt{10}},\frac{-3}{\sqrt{10}},\frac{0}{\sqrt{10}}>=<4.554*10^{-11},-1.366*10^{-10},0> N/C </math>

===Middling===

<math> \text{You want to create an electric field of magnitude } 3.2*10^-12 \text{ at the point (1,2,3) with a direction with unit vector} <.841,.432,.3256>. \text{ Where should a particle with a charge of } -2*10^{-4} \text{be placed in order to create this electric field?} </math>

===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?

I am very interested in the idea of forces and how objects interact with each other. After you calculate the Electric Filed you can easily find the Electric Force on particle exerts on another.

#How is it connected to your major?

I am a CompE major and so Electric Fields have to do with my major because when you integrate them with respect to dL, and swap the sign, you get potential difference(voltage), which is very important in circuits. As ECE majors take circuits classes, this topic is relevant to me.

#Is there an interesting industrial application?

An interesting application is....

==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

Some more information : http://hyperphysics.phy-astr.gsu.edu/hbase/electric/epoint.html

==References==

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

[[Category:Fields]]