Q.

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

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a

πq64πε0

b

q64πε0

c

2πq64πε0

d

4πq64πε0

answer is D.

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Detailed Solution

From gauss' law, ϕ=qε0This is the net flux coming out of the cube. Since, a cube has 6 sides, so electric flux through any face isϕ′=ϕ6=q6ε0=4πq64πε0
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A charge q is located at the centre of a cube. The electric flux through any face is :