A point charge q is placed on the body diagonal of a cube very close to the lower vertex. Find the flux through the lower face of the cube.

Dear anwesan,

Use Gauss law and symmetry to show that the flux through one side of the cube is 1/6th of the total flux through a gaussian sphere centred on the origin.

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What will be the radius of such a sphere? And moreover the field lines may not pass through 1/6 of the sphere........