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Question

Two point charges are kept at a certain distance from one another. Figure represents the variation of the potential along the straight line connecting the two charges. At what point is the electric field zero?

134063

A

$1$

B

$2$

C

$3$

D

All of these

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Solution

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Correct option is D)

The electric field is $E = - \frac{d V}{d x}$
At $1$ and $2$ , $V = 0$ So the electric filed at $1$ and $2$ may be zero.
At $3$ , V is maximum, so $\frac{d V}{d x} = 0$ , thus the electric field must be zero at $3$ .

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