The electric potential $V$ at any point $(x, y, z)$ , all in meters, in space in given by $V = 4 x^{2} v o l t$ . The electric field at the point $(1, 0, 2)$ in $v o l t / m e t e r$ is :

8 along positive X-axis

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16 along negative X-axis

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16 along positive X-axis

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8 along negative X-axis

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Solution

The correct option is B 8 along negative X-axis
$\to E = - \frac{d V}{d x}^i$
$= - 8 x^i v o l t / m e t e r$
${\to E}_{(1, 0, 2)} = - 8^i V / m$ .

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