A charge 'q' is placed at the center of a cube of side 'l'. What is the electric flux passing through each face of cube?

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Solution

Total flux passing through the cube is
ϕ= $\frac{q}{ϵ_{0}}$
Due to symmetry, the amount of flux coming out of one cube face will be the same as the flux coming out of 1/6 surface of the sphere,
∴ Electric flux passing through each face ϕ′ = $\frac{q}{6 ϵ_{0}}$

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