A point charge Q is placed at the centre of a cube, another point charge Q is placed at one edge of the cube and a third charge is placed at one corner of the cube. Then the net electric flux over the entire surface of the cube is

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$\frac{Q}{\in_{o}}$

$\frac{9 Q}{8 \in_{o}}$

$\frac{11 Q}{8 \in_{o}}$

$\frac{3 Q}{8 \in_{o}}$

answer is C.

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Detailed Solution

Net charge enclosed by the cube, Q_net = $Q + \frac{Q}{8} + \frac{Q}{4} = \frac{11 Q}{8} .$

$∴ Net flux over the entire surface of the cube = \frac{Q_{net}}{\in_{o}} = \frac{11 Q}{8 \in_{o}}$

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