Question

The electric field and electric potential at a point are $E$ and $V$ respectively, then -

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

Answer 1

Answer: (C)

$\left(A\right)$ suppose a point where $E=0$ between two positive charges but net potential is the scalar sum of potential of two charges.
$\left(B\right)$ 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.
$\left(C\right)$ Suppose a point between one positive and one negative charge, where $E\ne 0$ but net potential may be zero depending on location of point between them.
$\left(D\right)$ 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 $E=0$