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Question

Variation of electrostatic potential along $x -$ direction is shown in the figure. The correct statement about electric field is(are):

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A

$x -$ component at point $B$ is maximum

B

$x -$ component at point $A$ is towards positive $x -$ axis

C

$x -$ component at point $C$ is along negative $x -$ axis

D

$x -$ component at point $C$ is along positive $x -$ axis

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Solution

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Correct option is D)

We know, $E = - \frac{d V}{d x} .$
At $B, d V / d x = 0,$ hence $E_{x} = 0$
At $A, d V / d x$ is positive, hence $E_{x}$ is negative.
At $C, d V / d x$ is negative, hence $E_{x}$ is positive.

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