Physics - Electrostatics Question with Solution | TestHub

Charge on ring $q$, centre of ring $=O$ Centre of sphere $=O^{\prime }$ Linear charge density of ring, $\lambda =\frac{q}{2\pi a}$ Charge on arc $AB$ of ring, $\begin{array}{rl}& q_{AB}=\lambda (\mathrm{arc}AB)=\frac{1}{2\pi a}\cdot q\cdot \frac{2\pi a}{3}\\ & q_{AB}=q/3\end{array}$ i.e., charge enclosed by sphere $=q/3$ $\therefore$ Flux coming out of sphere $=q/3{\epsilon }_0$.