Question

A charge Q is distributed uniformly on a ring of radius r. A sphere of equal radius r is constructed with its centre at the periphery of the ring. Find the flux of the electric field through the surface of the sphere–

• A. $\frac{Q}{4 \in_{0}}$
• B. $\frac{Q}{6 \in_{0}}$
• C. $\frac{Q}{3 \in_{0}}$
• D. $\frac{Q}{2 \in_{0}}$

Answer 1

Answer: (C)

$\frac{Q}{3 \in_{0}}$

Answer 2

cos q = = $\frac { 1 } { 2 }$ \ q = 60⁰

Length of ring in sphere = r × 2q = $\frac { 2 \pi r } { 3 }$

charge in sphere =×$\frac { 2 \pi r } { 3 }$=

Flux by gauss law =