Question

A charge q is placed at one corner of a cube. The electric flux through any of the three faces adjacent to the charge is zero. The flux through any one of the other three faces is

• A. $q/3{\epsilon }_0$
• B. $q/6{\epsilon }_0$
• C. $q/12{\epsilon }_0$
• D. $q/24{\epsilon }_0$

Answer 1

Answer: (D)

Consider the diagram

In above the flux coverage of three face is shown in figure.
Which is like a quadrant in any plane. So, flux will be
$\varphi =\frac{1}{4}\times \frac{q}{6{\epsilon }_0}=\frac{q}{24{\epsilon }_0}$