Question

Calculate the total flux passing through the surface of a cube of side $\alpha $ if a charge $q$ is placed at corner $A$ of the cube as depicted in the adjoiing figure.

• A. $\frac{q}{8 \epsilon _{0}}$
• B. $\frac{q}{4 \, \epsilon _{0}}$
• C. $\frac{q}{2 \, \epsilon _{0}}$
• D. $\frac{q}{ϵ_{0}}$

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 $=\frac{q}{8 \epsilon _{0}}$