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Electric Potential at a Point in Space Due to a Point Charge Q

The electric ...

Question

The electric field due to the electric potential V = $(2 x^{2} - 4 x)$ is

(4 x + 4)^i

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(4 x - 4)^i

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(- 4 x + 4)^i

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(- 4 x - 4)^i

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Solution

The correct option is C $(- 4 x + 4)^i$
$\to E = - \frac{d V}{d x}$

Given, $V = {2 x}^{2} - 4 x$

$∴ \to E = - (\frac{d}{d x} ({2 x}^{2} - 4 x))^i$
$= (- 4 x + 4)^i$

$∴$ Option (C) is the correct answer.

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