In a cuboid of dimension , a charge is placed at the centre of the surface having area . The flux through the opposite surface to is given by [2023]

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Solution

Q.
In a cuboid of dimension $2 L \times 2 L \times L$ , a charge $q$ is placed at the centre of the surface $' S'$ having area $4 L^{2}$ . The flux through the opposite surface to $' S'$ is given by [2023]

1 $\frac{q}{12 ε_{0}}$

2 $\frac{q}{3 ε_{0}}$

3 $\frac{q}{2 ε_{0}}$

4 $\frac{q}{6 ε_{0}}$

Ans.
(4)

$ϕ = \frac{Q / ε_{0}}{6}$

$Flux passing through shaded face = \frac{q}{6 ε_{0}}$

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