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

By Gauss’ theorem, total electric flux linked with a closed surface is given by \(phi =q/{{varepsilon }_{0}}\)

Where, q is net charge enclosed by the Gaussian surface.

∴Total electric flux linked with cube, φ = q/ϵ0. As charge is at center of the cube, therefore electric flux will be symmetrically distributed through all the face of the cube = \(frac{1}{6}phi =frac{1}{6}times frac{q}{{{varepsilon }_{0}}}=frac{q}{6{{varepsilon }_{0}}}\)

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