Question

There is a point charge $q$ located at the centre of a cube. What is the electric flux of this point charge, through a face of the cube?

• A. $ \frac{q}{{{\varepsilon }_{0}}} $
• B. $ \frac{q}{6{{\varepsilon }_{0}}} $
• C. $ \frac{q}{3{{\varepsilon }_{0}}} $
• D. It will depend upon the size of the cube

Answer 1

Answer: (B)

If che is placed in the centre of cube, flux through surface of cube is $6 \phi$, where $\phi$ is flux through each face. by gauss's law,
$6 \phi=\frac{ q }{\epsilon_{0}} $
$\Rightarrow \phi=\frac{ q }{6 \in_{0}}$
Hence $,l$