Question

The electric field and the electric potential at a point are E and V, respectively.
(a) If E = 0, V must be zero.
(b) If V = 0, E must be zero.
(c) If E ≠ 0, V cannot be zero.
(d) If V ≠0, E cannot be zero.

Answer 1

None of the above.

Electric field,
$E=\frac{-dV}{dr}$, where V = electric potential
For E = 0, V should be constant.
So, when E = 0, it is not necessary that V should be 0.
Hence, none of the above signifies the correct relation.