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Question

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

A
πq6(4πε0)
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B
q6(4πε0)
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C
2πq6(4πε0)
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D
4πq6(4πε0)
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Solution

The correct option is D 4πq6(4πε0)
Gauss's law
ϕ=qε0
Electric flux through one face is 1/6th of the total flux passing through the cube.
ϕ=ϕ6=q6ε0=4πq6(4πε0).

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