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Q.

The total flux through the faces of the cube with side of length $a$ , if a charge $q$ is placed at corner $A$ of the cube is

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a

$\frac{q}{8 ε_{0}}$

b

$\frac{q}{4 ε_{0}}$

c

$\frac{q}{2 ε_{0}}$

d

$\frac{q}{ε_{0}}$

answer is A.

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Detailed Solution

In the figure, when a charge $q$ is placed at corner $A$ of the cube, so 8 such cubes will completely enclose this charge.

$∴$ The total flux through the faces of one such cube $= \frac{q}{8 ε_{0}}$

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