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Q.

An electric field $\vec{E} = (25 \hat{i} + 30 \hat{j}) N C^{- 1}$ 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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a

-120 V

b

-140 V

c

-110 V

d

-130 V

answer is A.

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Detailed Solution

$V = - \int_{r_{1}}^{r_{2}} E d r$

$V = - \int_{x_{1}}^{x_{2}} E_{x} d x - \int_{y_{1}}^{y_{2}} E_{y} d y$

$V = - \int_{0}^{2} 25 d x - \int_{0}^{2} 30 d y$

V = -50 - 60 = -110 V

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