A charge Q is placed at the centre of a cube. Find the flux of the electric field through the six surfaces of the cube.
Given:
Total charge in the cube =Q at the center
By Gauss’s law, flux of net electric field through a closed surface equals the net charge enclosed by the surface divided by ϵ0
From Gauss’s law we can conclude that total flux enclosed by the cube is given by
∴ flux passing through each surface
Therefore flux of electric field passing through each of the six surfaces are equal and is given by Q/6ϵ0