# 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 = $frac{1}{6}phi =frac{1}{6}times frac{q}{{{varepsilon }_{0}}}=frac{q}{6{{varepsilon }_{0}}}$