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. The electric flux through the surface of the sphere is

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. The electric flux through the surface of the sphere is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-peklgwi5bwwg4cel.jpg" /> (A) (q/ϵ 0) (B) (2 q/ϵ 0) (C) (q/2 ϵ 0) (D) (q/3 ϵ 0)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-peklgwi5bwwgwba0.jpg" /> Q =(qe q/ϵ 0)=(q/3 . ϵ 0) If angle at centre is 360° then charge is q If angle at centre is 120° then charge is (q/360)× 120

Q. 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. The electric flux through the surface of the sphere is

$\frac{q}{ϵ _{0}}$

$\frac{2 q}{ϵ _{0}}$

$\frac{q}{2 ϵ _{0}}$

$\frac{q}{3 ϵ _{0}}$

$Q = \frac{q _{e q}}{ϵ _{0}} = \frac{q}{3. ϵ _{0}}$
If angle at centre is $36 0^{\circ}$ then charge is $q$
If angle at centre is $12 0^{\circ}$ then charge is $\frac{q}{360} \times 120$

Q. 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. The electric flux through the surface of the sphere is

ϵ0​q​

ϵ0​2q​

2ϵ0​q​

3ϵ0​q​