Question

A charge q is located at the centre of a cube.The electric flux through any face is -

• A. $\frac{2\pi q}{6\left(4\pi {\epsilon }_0\right)}$
• B. $\frac{4\pi q}{6\left(4\pi {\epsilon }_0\right)}$
• C. $\frac{\pi q}{6\left(4\pi {\epsilon }_0\right)}$
• D. $\frac{q}{6\left(4\pi {\epsilon }_0\right)}$

Answer 1

The correct option is B $\frac{4\pi q}{6\left(4\pi {\epsilon }_0\right)}$

$EA=\frac{q}{{ϵ}_0}$ where A is total surface area of cube=$6a^2$ ,

So $E{a}^2=\frac{q}{6{ϵ}_0}$