Gaussian surfaces: Electric Field=zero

In summary, a gaussian surface within a conductor has an electric field of zero because the charge on the surface of a conductor in electrostatic equilibrium results in a self-correcting behavior, where the charges arrange themselves to create a net field of zero inside the conductor.
  • #1
ichigo444
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Please explain to me in detail why a gaussian surface within a conductor has an electric field of zero? thanks.
 
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  • #2
ichigo444 said:
Please explain to me in detail why a gaussian surface within a conductor has an electric field of zero? thanks.

Because charge goes on the surface of a conductor in electrostatic equilibrium. Using Gauss law with an internal gaussian surface will show that the electric field is 0 inside a conductor.
 
  • #3
ichigo444 said:
Please explain to me in detail why a gaussian surface within a conductor has an electric field of zero? thanks.

A conductor is a material where the charges are free to move throughout the material bulk. This results in a self-correcting behavior because if we were to apply a static electric field across a conductor, the electric field separates the negative electrons from the positive (largely) immobile ions in the material. The separation of the charges creates another secondary electric field that will oppose the applied field. The natural movement is thus that the charges will arrange themselves such that no net field exists inside the conductor. Because if there was a net field, more charges would be moved about that would create a secondary field that further decreased the net field. In the end, the equilibrium of no net field is reached.
 

Related to Gaussian surfaces: Electric Field=zero

1. What is a Gaussian surface?

A Gaussian surface is an imaginary surface that is used in calculations of electric fields. It is a closed surface that encloses a charge or a group of charges.

2. How does a Gaussian surface relate to electric fields?

A Gaussian surface is used to simplify the calculation of electric fields. By using the Gaussian surface, the electric field at any point on the surface can be calculated using Gauss's law.

3. Why is the electric field zero on a Gaussian surface?

The electric field is zero on a Gaussian surface because it is an imaginary surface that encloses a charge or group of charges. According to Gauss's law, the net electric flux through a closed surface is proportional to the enclosed charge. Therefore, if the enclosed charge is zero, the electric field must also be zero.

4. Can a Gaussian surface be any shape?

Yes, a Gaussian surface can be any shape as long as it is a closed surface. This means it can be spherical, cylindrical, or any other shape as long as it completely encloses the charge or group of charges being considered.

5. How do you use a Gaussian surface to calculate the electric field?

To use a Gaussian surface to calculate the electric field, you need to follow these steps:

  1. Choose a closed surface that encloses the charge or group of charges being considered.
  2. Calculate the electric flux through the surface using Gauss's law.
  3. Set the electric flux equal to the total enclosed charge divided by the permittivity of free space.
  4. Solve for the electric field at any point on the surface.

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