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Question

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

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

A

4πq6(4πε0)\frac{4\pi q}{6(4\pi\varepsilon_{0})}

B

πq6(4πε0)\frac{\pi q}{6(4\pi\varepsilon_{0})}

C

q6(4πε0)\frac{q}{6(4\pi\varepsilon_{0})}

D

2πq6(4πε0)\frac{2\pi q}{6(4\pi\varepsilon_{0})}

Answer

4πq6(4πε0)\frac{4\pi q}{6(4\pi\varepsilon_{0})}

Explanation

Solution

φface=q6ε0=4πq6(4πε0)\varphi_{face} = \frac{q}{6\varepsilon_{0}} = \frac{4\pi q}{6(4\pi\varepsilon_{0})}