Question

If the electric potential equals to zero at a point, must the electric field be zero at that point? Explain.

Answer 1

Answer:

The electric field is E=−

dx

dV

If V=0, we can not say E must be zero, we say only E may be zero.

If V



=0, E must be zero when V is max i.e,

dx

dV

=0 For example, inside the conductor E=0, but V



=0

If E



=0 , V may be zero when two equal and opposite charges separated by a distance and at the midpoint in between the charges field is non-zero but potential is zero.