Three large identical conducting plates of area A are closely placed parallel to each other as shown (the area A is perpendicular to plane of diagram). The net charge on left, middle and right plates are $Q_{L}, Q_{M} a n d Q_{R}$ respectively. Three infinitely large parallel surfaces $S_{L}, S_{M} a n d S_{R}$ are drawn passing through middle of each plate such that surfaces are perpendicular to plane of diagram as shown. Then pick up the correct option(s).

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The net charge on left side of surface $S_{L}$ is equal to net charge on right side of surface $S_{L}$

The net charge on left side of surface $S_{L}$ is equal to net charge on right side of surface $S_{R} .$

The net charge on left side of surface $S_{L}$ is equal to net charge on right side of surface $S_{M} .$

The net charge on right side of surface $S_{L}$ is equal to net charge on left side of surface $S_{R} .$

answer is A, B, C, D.

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Detailed Solution

Since electric field on plate at surface $S_{L}$ is zero, net charge on left side of $S_{L}$ is equal to net charge on right side of $S_{L} .$ Further net charge between any two dotted surfaces (out of $S_{L}, S_{M} a n d S_{R}$ ) is zero from Gauss theorem