The electric field and the electric potential at a point are E and V respectively.

Options

A. If E = 0, V must be zero
B. If V = 0, E must be zero
C. If `E ne 0` may be zero
D. If `V ne 0, E` cannot be zero

Answer

C

Explanation

(A) suppose a point where E = 0 between two positive charges but net potential is the scalar sum of potential of two charges.
(B) suppose a point where V = 0 between one positive and one negative charge but net electric field is in the direction from positive to negative charge.
(C) Suppose a point between one positive and one negative charge, where `E^0` but net potential may be zero depending on location of point between them.
(D) Suppose a point where `V ne 0` between two positive charges but we cannot say that E cannot be zero because at neutral point we must say that E = 0