Q. The electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius 10 cm surrounding the total charge is 20 Vm. The flux over a concentric sphere of radius 20 cm will be

A) 20Vm
B) 25Vm
C) 40Vm
D) 200Vm
Explanation

(a) According to Gauss’s law, electric flux is
$\phi_{E} = \oint_{}^{}{\ _{s}\mathbf{E.ds} = \frac{1}{\varepsilon_{0}}(q)\ }$
$ie$, the flux linked with a closed body is independent of the shape and size of the surface. So electric flux remain constant.
Hence, $\phi_{E} = 20Vm$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.