2. Electric Potential and Capacitance
medium

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)

Solution

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,

$V=-110\,volt$

Standard 12
Physics

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