Home
Class 12
PHYSICS
A thin ring of radius R meter has charge...

A thin ring of radius R meter has charge q coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of f revolutions/s. The value of magnetic induction in `Wb//m^2` at the centre of the ring

A

`(mu_0 qf)/(2pi R)`

B

`(mu_0q)/(2pi fR)`

C

`(mu_0q)/(2 fR)`

D

`(mu_0qf)/(2R)`

Text Solution

Verified by Experts

The correct Answer is:
D
Current produced due to circular motion of charge q is I= q f
Magnetic field induction at the centre of the ring of radius R is
`B= (mu_0 2pi l)/(4 pi R) = (mu_0 l)/(2 R ) = (mu_0ef)/(2R)` (Using (i))
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MAGNETIC EFFECTS OF CURRENT AND MAGNETISM

    MTG GUIDE|Exercise CHECK YOUR NEET VITALS|25 Videos

  • ELECTROSTATICS

    MTG GUIDE|Exercise AIPMT/NEET (MCQ.s)|34 Videos

  • OPTICS

    MTG GUIDE|Exercise AIPMT/NEET|55 Videos

Similar Questions

Explore conceptually related problems

A plastic disc of radius 'R' has a charge 'q' uniformly distributed over its surface. If the dis is rotated with a frequency 'f' about its axis, then the magnetic induction at the centre of the disc is given by

consider a nonconducting ring of radius r and mass m which has a totoal chargej q distributed uniformly on it the ring is rotated about its axis with an angular speed omega . (a) Find the equivalent electric current in the ring (b) find the magnetic moment mu of the . (c) show that mu=(q)/(2m) where l is the angular momentum of the ring about its axis of rotation.

Knowledge Check

  • A thin ring of radius R meter has charge q coulomb uniformly spread on it. The ring rotates about its axis with a constnat frequency of l revolutions/s. The value of magnetic induction in Wb/m^(2)1 at the centre of the ring is

    A
    `(mu_(0)qf)/(2piR)`
    B
    `(mu_(0)q)/(2pi f R )`
    C
    `(mu_(0)q)/(2 fR)`
    D
    `(mu _(0) qf )/(2R)`

  • A thin ring of radius R metre has charge q coulomb uniformly spread on it. The ring rotates about its axis with a constant frequency of f revolution/s. The value of magnetic induction in Wb m^(-2) at the centre of the ring is

    A
    `(mu_(0) q f)/(2pi R)`
    B
    `(mu_(0) q )/(2pi f R)`
    C
    `(mu_(0) q )/(2f R)`
    D
    `(mu_(0) q f)/(2R)`

  • Charge q is uniformly spreade on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f Hz. The magnitude of magnetic induction at the centre of the ring is

    A
    `(mu_0qf)/(2 piR)`
    B
    `(mu_0qf)/(2R)`
    C
    `(mu_0q)/(2fR)`
    D
    `(mu_0q)/(2pi fR)`

    • Similar Questions

    Explore conceptually related problems

    A ring of mass m and radius R is given a charge q. It is then rotated about its axis with angular velocity omega .Find (iii)Magnetic moment of ring.

    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.

    A uniform ring of radius R and made up of a wire of cross - sectional radius r is rotated about its axis with a frequency f . If density of the wire is rho and young's modulus is Y . Find the fractional change in radius of the ring .

    Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f Hz. The magnitude of magnetic induction at the center of the ring is:

    A ring of radius R is charged uniformly with a charge +Q . The potential at a point on its axis at a distance 'r' from any point on ring will be-

    Home
    Profile