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Question

Abpoint charge q is placed at the center of a cube of edge a .what is the electric flux through each of the cube faces?

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Solution

If charge is placed in the centre of cube,
flux through surface of cube is 6ϕ , where ϕ is flux through each face.
by Gauss's law,
6ϕ=q/∈0
Flux through each face
=> ϕ=q/6∈0

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