Question

A charge Q is placed at the corner of a cube. The electric flux through all the faces of the cube is

• A. $Q/{\epsilon }_0$
• B. $Q/6{\epsilon }_0$
• C. $Q/8{\epsilon }_0$
• D. $Q/3{\epsilon }_0$

Answer 1

The correct option is C $Q/8{\epsilon }_0$

We require eight cubes to surround completely this corner charge. So, the flux through one cube is
$\frac{1}{8}\times \frac{Q}{{\epsilon }_0}=\frac{Q}{8{\epsilon }_0}$