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Question

Physics Question on Gauss Law

A point charge +q+q is placed at the centre of a cube of side LL. The electric flux emerging from the cube is

A

qε0\frac{q}{\varepsilon_{0}}

B

Zero

C

6qL2ε0\frac{6qL^{2}}{\varepsilon_{0}}

D

q6L2ε0\frac{q}{6L^{2}\varepsilon_{0}}

Answer

qε0\frac{q}{\varepsilon_{0}}

Explanation

Solution

Since the charge is placed at the centre of the cube, so the electric flux lines move out equally from all sides of the cube. Thus the electric flux emerging from the cube is equal to qε0\frac{q}{\varepsilon_{0}}.