First slide
Gauss's Law
Question

A charge q is located at the centre of a cube. The electric flux through any face is :

Moderate
Solution

From gauss' law, ϕ=qε0
This is the net flux coming out of the cube. Since, a cube has 6 sides, so electric flux through any face is
ϕ=ϕ6=q6ε0=4πq64πε0

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