Home
Class 12
PHYSICS
A hollow non conducting sphere of radius...

A hollow non conducting sphere of radius `R` has a positive charge `q` uniformly distributed on its surface. The sphere starts rotating with a constant angular velocity `'omega'` about an axis passing through center of sphere, as shown in the figure. Then the net magnetic field at center of the sphere is

A

`(mu_(0)qomega)/(2piR)`

B

`(mu_(0)qomega)/(3piR)`

C

`(mu_(0)qomega)/(6piR)`

D

`(mu_(0)qomega)/(12piR)`

Text Solution

Verified by Experts

The correct Answer is:
C
Magnetic field due to the ring on its axis is
`B=(mu_(0)pir^(2)i)/(2pi(r^(2)+x^(2))/(3//2))` (due to ring)
`B=int_(-pi//2)^(+pi//2)(mu_(0)pi(Rcostheta)^(2)((2piRcos theta R d theta sigma)/(2pi//omega)))/(2pi[(Rcostheta)^(2)+(Rsintheta)^(2)]^(3//2))`
Where `sigma=q/(4piR^(2))`
`B=(mu_(0)qomega)/(6piR)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A solid sphere is rotating with a constant angular velocity about an axis touching the surface. Its angular momentum will be:

A non-conducting sphere of radius R is given a charge Q. Charge is uniformly distributed in its volume. The electric potential at centre and at the surface of sphere respectively are

A charge q is uniformly distributed on a non-conducting disc of radius R . It is rotated with an angular speed co about an axis passing through the centre of mass of the disc and perpendicular to its plane. Find the magnetic moment of the disc.

Flux passing through the shaded surface of a sphere when a point charge q is placed at the center is (radius of the sphere is R)

An isolated conduction sphere sphere whose radius R=1 m has a charge q=1/9nC. The energy density at the surfasce of the sphere is

A hollow conducting sphere of inner radius r and outer radius 2R is given charge Q as shown in figure, then the

A thin disc of radius R has charge Q distributed uniformly on its surface. The disc is rotated about one of its diametric axis with angular velocity omega . The magnetic moment of the arrangement is

A hollow conducting sphere of radius R has a charge (+Q) on its surface. What is the electric potential within the sphere at a distance r = (R )/(3) from its centre ?

A sphere of radius R has a uniform voume charge density. Determine the magnetic dipole moment of the sphere when it rotates as a rigid body with angular speed omega about an axis through its centre. The total charge of the sphere is q.

A conducting ring of radius r having charge q is rotating with angular velocity omega about its axes. Find the magnetic field at the centre of the ring.