An electric field E = (25i + 30j) N C⁻¹ exists in a region of space… | JEE Main 2015 (11 Apr, Shift 1)

Q104JEE Main 2015 · 11 APR · SHIFT 1Medium

Electric Potential & Equipotentials

An electric field

$\vec{E} = \left(25\hat{i} + 30\hat{j}\right)\text{ N C}^{-1}$ exists in a region of space. If the potential at the origin is taken to be zero then the potential at x = 2 m, y = 2 m is:

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Answer: (d)

$V - V_O = -\vec{E}\cdot\vec{r} = -(25x + 30y)$ for a uniform field.
At $(2, 2)$ : $V = -(50 + 60) = -110\,\text{V}$
So the answer is (d) $-110$ V.

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