First slide

Electrostatic potential

Question

At a point in a region of space

Easy

A

If E = 0, V must be zero
B

if V = 0, E must be zero
C

if $V \neq 0, E \neq 0$
D

if E = 0, then V may not be zero.

Solution

$E = - \frac{d V}{d r}$ . So if V has non zero constant value, then $\frac{d V}{d r} = 0$ i.e in that case E = 0.

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