It is shown that a point charge $+ 2 q$ 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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$2$

$3$

$4$

$6$

answer is B.

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Detailed Solution

This case can be considered that the charge is placed at the center of a cube with side length ‘d’

So total flux through six identical plates $ϕ = \frac{2 q}{ε_{0}}$

The flux through each plate $= \frac{2 q}{6 ε_{0}} = \frac{q}{3 ε_{0}}$

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