Question

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

A
πq6(4πε0)
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B
q6(4πε0)
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C
4πq6(4πε0)
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D
4πq16(4πε0)
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Solution

## The correct option is C 4πq6(4πε0)Step 1: Charge inclosed in cube [Refer Fig.] Charge enclosed in cube =q Step 2: Apply Gauss Law Assuming gaussian surface as the cube, Applying Gauss Law:Electric flux passing through cube =Charge Enclosedϵ0=qϵ0 As charge is placed at the center, Therefore, due to symmetry, all the six faces of cube being equivalent, so same flux will pass through each face.∴ Flux through each face =Total flux through cube6=q6ϵ0=4πq6(4πϵ0) Hence Correct Option is C

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