Electrostatics

JEE Main level, single correct, medium

214 of 311

Question 214 of 311

An electric field E⃗=(25i^+30j^)NC−1\vec{E}=\left(25\hat{i}+30\hat{j}\right)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=2mx=2m, y=2my=2m is:

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Answer: (A) −110JC−1-110J{C}^{-1}

∵∆V=−E⃗.∆r⃗∵∆V=-\vec{E}.∆\vec{r}

V−0=−(25i^+30j^).(2i^+2j^)V-0=-\left(25\hat{i}+30\hat{j}\right).\left(2\hat{i}+2\hat{j}\right)

=−(50+60)=-\left(50+60\right)

V=−110voltV=-110volt=−110JC−1=-110J{C}^{-1}

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