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The electric field is zero everywhere inside a charged conductor in electrostatic equilibrium. Can you infer...

The electric field is zero everywhere inside a charged conductor in electrostatic equilibrium. Can you infer that the potential is everywhere zero (Yes/No)? Explain your answer.

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Answer #1

E = -(del V / del r) (1)

i.e electric field at any point is the negative of the gradient of the electric potential at that point.

If E in a charged conductor is zero, then from (1) it can be inferred that V= constant & the constant may not be zero.

For example, in case of a charged conducting sphere, the electric field inside the sphere is zero whereas the electric potential inside the sphere is constant and is equal to the electric potential on the outer surface of the sphere

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