Question

A charge $Q$ is enclosed by a Gaussian spherical surface of radius $R$. If the radius is doubled, then the outward electric flux will

• A. be reduced to half
• B. remain the same
• C. be doubled
• D. become four times

Answer 1

The correct option is B remain the same

We know from Gauss's law that the electric flux through any closed spherical surface is given by

$\varphi =\frac{q_{\text{enclosed}}}{{ϵ}_0}$

As we can see it is independent of the radius of the closed surface and only depends on the charge enclosed.

Therefore if the radius of Gaussian spherical surface is doubled then there will be no effect on flux and the outward electric flux will remain the same.