Home
Class 12
PHYSICS
A charge q0 is distributed uniformly on ...

A charge `q_0` is distributed uniformly on a ring of radius R. A sphere of equal radius R constructed with its centre on the circumference of the ring. Find the electric flux through the surface of the sphere.

A

`(q)/(epsilon_0)`

B

`(q)/(2epsilon_0)`

C

`(q)/(3epsilon_0)`

D

`(q)/(4epsilon_0)`

Text Solution

Verified by Experts

The correct Answer is:
C

Charge on ring q , centre of ring = O
Centre of sphere = O'
Linear charge density of ring `lambda = (q)/(2 pi a)`
Charge on are AB of ring ,
`q_(AB) = lambda (arc AB) = (1)/(2 pi a ) * a * (2pi )/(3)`
`q_(AB) = q//3`
`therefore` Flux coming out of sphere = `q //3 epsi_(0)` .
Promotional Banner

Similar Questions

Explore conceptually related problems

A charger Q is distributed uniformly on a ring of radius of r. A sphere of equal radius r is constructed with its centre a t the periphery of the ring. The flux of the electric field through the surface of the sphere is (Q)/(n epsilon_(0)) , The value of n is

A Charge Q is distributed uniformly on a ring of radius r. A sphere of equal r is constructed with its centre at the periphery of the ring (figure 30.12) Find the flux of the electric field through the surface of the sphere.

A charge q is distributed uniformly on the surface of a sold sphere of radius R. It covered by a concentric hollow conduction sphere of radius 2R . Find the charges inner and outer surface of hollow sphere if it is earthed.

Charge q is uniformly distributed over a thin half ring of radius R . The electric field at the centre of the ring is

A charge q is uniformly distributed over a quarter circular ring of radius r . The magnitude of electric field strength at the centre of the ring will be

A positive charge Q is uniformly distributed along a circular ring of radius R .a small test charge q is placed at the centre of the ring.

Charge Q is distributed non uniformly over a ring of radius R,P is a point on the axis of ring at a distance sqrt(3)R from its centre, Which of the following is a wrong statement

A positive charge Q is uniformly distributed along a circular ring of radius R .a small test charge q is placed at the centre of the ring .The

A charge +Q is uniformly distributed over a thin ring of the radius R. The velocity of an electron at the moment when it passes through the centre O of the ring, if the electron was initially at far away on the axis of the ring is (m=mass of electron, K=1/(4pi epsi_(0)) )

A charge 'Q' is placed at the centre of a hemispherical surface of radius 'R'. The flux of electric field due to charge 'Q' through the surface of hemisphere is