Question

The total flux through the faces of the cube with side of length a if a charge $q$ is placed at corner $A$ of the cube is

• A. $\frac{q}{8{\epsilon }_0}$
• B. $\frac{q}{4{\epsilon }_0}$
• C. $\frac{q}{2{\epsilon }_0}$
• D. $\frac{q}{{\epsilon }_0}$

Answer 1

Answer: (A)

In the figure, when a charge $q$ is placed at corner $A$ of the cube, it is being shared equally by $8$ cubes.
$\therefore$ The total flux through the faces of the given cube $=\frac{q}{8{\epsilon }_0}$