'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated by point charges because the magnitude is different depending on the location at which the electric field is being observed (refer to the equation of the electric field made by a point charge). If one is trying to find the electric potential between two different locations due to a point charge the difference in electric fields must be taken into account. Generally, in a non-uniform electric field one can write the change in potential difference between two locations to be:
<math> \textstyle\int\limits_{i}^{f}-Edl </math> -- i being the intial location and f being the final location.

===A Mathematical Model===

'''In order to apply this general formula for potential difference to a point charge:'''

We substitute E for the formula for the electric field of a point charge and dl for r the distance between the point charge and the observation location.

<math>\textstyle\int\limits_{i}^{f}(9x10^9)\frac{Q}{r^2}dr</math>

If we carry out the integration we find that Vf- Vi = <math>\vartriangle(9x10^9)\frac{Q}{r}</math> which can also be written <math>((9x10^9)\frac{Q}{rf})-((9x10^9)\frac{Q}{ri})</math>

This equation can be used to determine the potential difference of a point charge between any two different locations.

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

===Simple===
[[File:Physicswikiproblem1.jpg]]

===Middling===
===Difficult===

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:53:01Z

Dmengesha3: /* A Mathematical Model */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated by point charges because the magnitude is different depending on the location at which the electric field is being observed (refer to the equation of the electric field made by a point charge). If one is trying to find the electric potential between two different locations due to a point charge the difference in electric fields must be taken into account. Generally, in a non-uniform electric field one can write the change in potential difference between two locations to be:
<math> \textstyle\int\limits_{i}^{f}-Edl </math> -- i being the intial location and f being the final location.

===A Mathematical Model===

'''In order to apply this general formula for potential difference to a point charge:'''

We substitute E for the formula for the electric field of a point charge and dl for r the distance between the point charge and the observation location.

<math>\textstyle\int\limits_{i}^{f}(9x10^9)\frac{Q}{r^2}dr</math>

If we carry out the integration we find that Vf- Vi = <math>\vartriangle(9x10^9)\frac{Q}{r}</math> which can also be written <math>((9x10^9)\frac{Q}{rf})-((9x10^9)\frac{Q}{ri})</math>

This equation can be used to determine the potential difference of a point charge between any two different locations.

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:50:54Z

Dmengesha3: /* A Mathematical Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:49:40Z

Dmengesha3: /* A Mathematical Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:48:38Z

Dmengesha3: /* A Mathematical Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:47:39Z

Dmengesha3: /* A Mathematical Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:46:13Z

Dmengesha3: /* The Main Idea */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:42:37Z

Dmengesha3: /* A Mathematical Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:38:16Z

Dmengesha3: /* A Mathematical Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:37:52Z

Dmengesha3: /* A Mathematical Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:37:26Z

Dmengesha3: /* The Main Idea */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:33:07Z

Dmengesha3: /* A Mathematical Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:20:05Z

Dmengesha3: /* The Main Idea */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:17:48Z

Dmengesha3: /* The Main Idea */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated by point charges because the magnitude is different depending on the location at which the electric field is located. If one is trying to find the electric potential between two different locations due to a point charge the difference in electric fields must be taken into account. Generally, in a non-uniform electric field one can write the change in potential difference between two locations to be:
<math> \textstyle\int\limits_{i}^{f}-Edl </math> -- i being the intial location an f being the final location.

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:17:06Z

Dmengesha3: /* The Main Idea */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated by point charges because the magnitude is different depending on the location at which the electric field is located. If one is trying to find the electric potential between two different locations due to a point charge the difference in electric fields must be taken into account. Generally, in a non-uniform electric field one can write the change in potential difference between two locations to be:
<math> \textstyle\int\limits_{i}^{f}-E,dl </math> i being the intial location an f being the final location.

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:09:14Z

Dmengesha3: /* A Mathematical Model */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated by point charges because the magnitude is different depending on the location at which the electric field is located. If one is trying to find the electric potential between two different locations due to a point charge the difference in electric fields must be taken into account. Generally, in a non-uniform electric field one can write the change in potential difference between two locations to be i being the intial location an f being the final location.

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:08:44Z

Dmengesha3: /* The Main Idea */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated by point charges because the magnitude is different depending on the location at which the electric field is located. If one is trying to find the electric potential between two different locations due to a point charge the difference in electric fields must be taken into account. Generally, in a non-uniform electric field one can write the change in potential difference between two locations to be i being the intial location an f being the final location.

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-28T00:06:25Z

Dmengesha3: /* The Main Idea */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated by point charges because the magnitude is different depending on the location at which the electric field is located. If one is trying to find the electric potential between two different locations due to a point charge the difference in electric fields must be taken into place. Generally, in a non-uniform electric field one can write the change in potential difference between two locations to be i being the intial location an f being the final location.

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T23:58:24Z

Dmengesha3: /* References */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T21:04:00Z

Dmengesha3: /* The Main Idea */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
Non uniform electric fields are generated

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==
[[Main Idea]]

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:49:19Z

Dmengesha3: /* References */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
This section is about why non uniform fields are hard to calculate

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==
[[Main Idea]]

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:45:41Z

Dmengesha3: /* References */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
This section is about why non uniform fields are hard to calculate

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

[[History]]

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

http://content.time.com/time/specials/2007/article/0,28804,1677329_1677708_1677755,00.html

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:44:54Z

Dmengesha3: /* History */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
This section is about why non uniform fields are hard to calculate

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

In 1800, Alessandro Volta (pictured above) found that metals such as zinc and copper could produce currents; thus, he constructed the first battery what is know called a voltic pile. It was constructed from pieces of zinc and copper in salt water which produced an electric current. The SI unit for potential difference is named after Alessandro Volta.

Refer to:

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

To read more about Volta's early works and life.

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:31:49Z

Dmengesha3: /* A Computational Model */

'''Claimed by dmengesha3 Dina'''

==The Main Idea==
This section is about why non uniform fields are hard to calculate

===A Mathematical Model===

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

===A Computational Model===

'''Refer to this Website:'''

https://phet.colorado.edu/sims/charges-and-fields/charges-and-fields_en.html

To observe how the electric field of a point charge differs from one location to another because it is proportional to 1/r^2. Then play around with measuring the potential difference between two points and see how distance affects the calculation of potential difference. You should observe a 1/r relationship.

Exercises
1. Put down a positive charge. Put 3 E-Field Sensors down: one close to the charge, the next farther away, the next one even farther stil

'''Notice that the magnitude of the arrows decreases as the distance from the point charge increases'''

2. Repeat the steps of #1 but replace the positive point charge with a negative point charge.

'''You should notice the same trend occur'''

3. Click "Show E-field" on the right menu bar and move the point charge around the plot

'''Notice that the Electric field gets larger in magnitude as the point charge moves closer to the observation location'''

4. Move the point charge closer to the observation location that measures potential difference

'''Notice that the closer the point charge is to this location the higher the magnitude of the potential difference'''

==Examples==

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

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

==Connectedness==
'''Connections in Chemistry'''

Electrostatic potential energy maps are made of molecules to portray the charge distribution of a molecule 3 dimensionally. These maps can be used to determine electronegativity, bond characteristics, and also help find the reactive sites of molecules. Reactive sites are defined as a charged region of a molecule that interact with other charged particles. This can become especially important in assessing what types of molecular interactions and reactions will take place between two elements or compounds.

'''Industrial Application'''
Coulomb Barrier for Nuclear Fusion: For two particles (ex: 2 protons to fuse), they must be able to get close enough to one another for the nuclear strong force to overcome their electric repulsion. One must understand the potential difference of a point charge and the potential energy that creates a barrier between two point charges which can be calculated using U=ke^2/r where k =9e9 and e=1.6e-19 The r calculated using this formula determines the radius at which the nuclear attractive force becomes dominant.

==History==
[[File:volta.jpg]]

== See also ==

'''Calculating Electric Field of a Point Charge'''

http://www.physicsbook.gatech.edu/Point_Charge

'''Potential Difference in Uniform Electric Field'''

http://www.physicsbook.gatech.edu/Potential_Difference_in_a_Uniform_Field

===Further reading===

Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions: Electric and Magnetic Interactions. 4th ed. Vol. II. Place of Publication Not Identified: John Wiley, 2015. Print. Chapter 16. Section 16.5

===External links===

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

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

==References==

[[Connectedness]]

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/coubar.html#c1

http://chemwiki.ucdavis.edu/Theoretical_Chemistry/Chemical_Bonding/General_Principles_of_Chemical_Bonding/Electrostatic_Potential_maps

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:30:07Z

Dmengesha3: /* A Computational Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:29:13Z

Dmengesha3: /* A Computational Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:28:54Z

Dmengesha3: /* A Computational Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:28:35Z

Dmengesha3: /* A Computational Model */

Potential Difference of Point Charge in a Non-Uniform Field

2015-11-27T20:26:57Z

Dmengesha3: /* The Main Idea */

File:Volta.jpg

2015-11-27T20:01:35Z

Dmengesha3: Dmengesha3 uploaded a new version of "File:Volta.jpg"