First slide
Gauss's Law
Question

A hollow spherical shell of radius r has a uniform charge density σπ. It is kept in a cube of edge 3r such that the centre of the cube coincides with the centre of the shell. The electric flux that comes out of a face of the cube is 

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Solution

flux from each surface of the cube is Q6ε0=4πr2σ6ε0=2r2σ3ε0

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