Let σ be the uniform surface charge density of two infinite thin… | JEE Main 2023 (1 Feb, Shift 1)

Q62JEE Main 2023 · 1 FEB · SHIFT 1Easy

Electric Flux & Gauss's Law

Let $\sigma$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different regions $E_{I}, E_{II}$ and $E_{III}$ are:

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Answer: (c)

Each sheet gives $\dfrac{\sigma}{2\epsilon_0}$ directed away from it; take $\hat{n}$ pointing from region I towards III.
Region I: both fields point left, $\vec{E}_I = -\dfrac{\sigma}{\epsilon_0}\hat{n}$ .
Region II: fields are opposite and cancel, $\vec{E}_{II} = 0$ .
Region III: both point right, $\vec{E}_{III} = \dfrac{\sigma}{\epsilon_0}\hat{n}$ .
So the answer is (c).

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