Electrostatics

JEE Main level, single correct, medium

306 of 311

Question 306 of 311

The electric field in a region of space is given by, E⃗=E0i^+2E0j^\vec{E}={E}_{0}\hat{i}+2{E}_{0}\hat{j} where E0=100NC−1{E}_{0}=100N{C}^{-1}. The flux of this field through a circular surface of radius 0.02m0.02m parallel to the Y‐ZY‐Z plane is nearly

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Answer: (C) 0.125Nm2C−10.125N{m}^{2}{C}^{-1}

ϕ=E⃗⋅A⃗=(E0i^+2E0j^)⋅(πr2i^)\phi =\vec{E}\cdot \vec{A}=\left({E}_{0}\hat{i}+2{E}_{0}\hat{j}\right)\cdot \left(\pi {r}^{2}\hat{i}\right)
=E0πr2=0.125Nm2C−1={E}_{0}\pi {r}^{2}=0.125N{m}^{2}{C}^{-1}

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