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Question

Question: A charge \(q\) is placed at the centre of a cube. Then the flux passing through one face of cube wil...

A charge qq is placed at the centre of a cube. Then the flux passing through one face of cube will be

A

qε0\frac{q}{\varepsilon_{0}}

B

q2ε0\frac{q}{2\varepsilon_{0}}

C

q4ε0\frac{q}{4\varepsilon_{0}}

D

q6ε0\frac{q}{6\varepsilon_{0}}

Answer

q6ε0\frac{q}{6\varepsilon_{0}}

Explanation

Solution

Net flux through the cube φnet=Qε0;\varphi_{net} = \frac{Q}{\varepsilon_{0}}; so flux through one face φface=q6ε0\varphi_{face} = \frac{q}{6\varepsilon_{0}}