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In figure, a point charge $+ q$ is at a distance $d / 2$ directly above the centre of a square of side $d$ . The magnitude of the electric flux through the square is $\frac{q}{x ε_{0}}$ The value of $x$ is _______ .

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$2$

$6$

$8$

$4$

answer is D.

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Detailed Solution

This situation can be considered as the charge placed at the center of a cube with a side length of ‘d’.

so total flux through six identical plates $\emptyset = \frac{q}{ε_{0}}$

The flux through each plate $= \frac{q}{6 ε_{0}}$

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