Question

A charge $q_o$ is distributed uniformly on a ring of radius R. A sphere of equal radius R isconstructed with its centre on the circumference of the ring. Find the electric flux through the surface of the sphere.

• A. $\frac{q_0}{3{\epsilon }_0}$
• B. $\frac{q_0}{2{\epsilon }_0}$
• C. $\frac{2q_0}{{\epsilon }_0}$
• D. $\frac{4q_0}{3{\epsilon }_0}$

Answer 1

The correct option is A $\frac{q_0}{3{\epsilon }_0}$

By Gauss's Law, electric flux through the surface of the sphere= $\frac{Q_{enclosed}}{ϵ}=\frac{120}{360}{q}_0\frac{1}{ϵ}=\frac{q+0}{3ϵ}$