An electric field $\vec E\, = (25 \hat i + 30 \hat j)\,NC^{-1}$ 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......$volt$
A$-110$
B$-140$
C$-120$
D$-130$
JEE MAIN 2015, Medium
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A$-110$
a As we know, $\mathrm{E}=-\frac{d v}{d x}$
Potential at the point $x=2 \,m, y=2 \,m$ is given by :
$\int_{0}^{V} d V=-\int_{0}^{2,2}(25 d x+30 d y)$
on solving we get,
$V=-110\,volt$
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