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Electric Potential & Equipotentials question from JEE Main 2014

Q108JEE Main 2014Medium

Electric Potential & Equipotentials

Assume that an electric field $\vec{E} = 30x^{2}\hat{i}$ exists in space. Then the potential difference $V_A - V_O,$ where $V_O$ is the potential at the origin and $V_A$ the potential at $x = 2\text{ m}$ is:

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Answer: (c)

$V_A - V_O = -\int_0^2 30x^2\,dx = -\left[10x^3\right]_0^2$
$= -80\,\text{J/C}$
So the answer is (c) $-80$ J/C.

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