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. $\frac{q}{{ϵ}_0}$
• B. $\frac{q}{6{ϵ}_0}$
• C. $\frac{q}{3{ϵ}_0}$
• D. It will depend on the size of the cube

Answer 1

The correct option is B $\frac{q}{6{ϵ}_0}$

$\begin{array}{c}Ifcheisplacedinthecentreofcube,\\ fluxthroughsurfaceofcubeis6\varphi ,\\ where\varphi isfluxthrougheachface.\\ bygaus{s}^{\prime }slaw,\\ 6\varphi =\frac{q}{{\in }_0}\\ \Rightarrow \varphi =\frac{q}{6{\in }_0}\end{array}$

Hence,l

option $\left(B\right)$ is correct answer.