Home
Class 12
PHYSICS
A thin non conducting ring of mass m, ra...

A thin non conducting ring of mass `m`, radius a carrying a charge `q` can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant `t=0`, a uniform magnetic field is switched on which is vertically downward and increases with time according to the law `B=B_0t`. Neglecting magnetism induced due to rotational motion of ring.
The magnitude of induced emf of the closed surface of ring will be

A

`pi a^(2) B_(0)`

B

`2a^(2)B_(0)`

C

zero

D

`(1)/(2) pi a^(2) B_(0)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    CENGAGE PHYSICS|Exercise single correct answer|3 Videos

  • ELECTROMAGENTIC INDUCTION

    CENGAGE PHYSICS|Exercise QUESTION BANK|40 Videos

  • ELECTRON,PHONTS,PHOTOELECTRIC EFFECT & X-RAYS

    CENGAGE PHYSICS|Exercise dpp 3.3|15 Videos

Similar Questions

Explore conceptually related problems

A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. Angular acceleration of ring is

A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. The magnitude of an electric field on the circumference of the ring is

A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. Find intantaneous power developed by electric force acting on the ring at t=1 s

A thin non-conducting ring mass m , radius a , carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment the ring was at rest and no magnetic field was present. At instant t = 0 , a uniform magnetic field is switched on which is vertically downwards and increase with time according to the law B = B_(0)t . Neglecting magnetism induced due to totational motion of the ring. Now answer the following questions. The power developed by the forces acting on the ring, as a function of time :

A thin non-conducting ring mass m , radius a , carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment the ring was at rest and no magnetic field was present. At instant t = 0 , a uniform magnetic field is switched on which is vertically downwards and increase with time according to the law B = B_(0)t . Neglecting magnetism induced due to totational motion of the ring. Now answer the following questions. The angular acceleration of the ring and its direction of rotation as seen from above: if E is induced e.m.f

A thin non-conducting ring of mass m carrying a charge q can freely rotate about its axis. At the initial moment, the ring was at rest and no magnetic field was present. Then a uniform magnetic field was switched on, which was perpendicular to the plane of the ring and increased with time according to a certain law: (dB)/(dt) = k . Find the angular velocity omega of the ring as a function of k .

A thin non-conducting ring of mass m carrying a charge q can freely rotate about its axis. At the initial moment the ring was at rest and no magnetic field was present. Then a practically unifrom magnetic field was switched on, which was perpendicular to the planeof the ring and increased with time according to a certain law B (t) , Find the angluar velocity omega of the ring as a function of the induction B(t) .

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 thin non-conducting ring of mass m carrying a charge q can freely rotate about its axis. At t = 0 , the ring was at rest and no magnetic field was present. Then suddenly a magnetic field B was set perpendicular to the plane. Find the angular velocity acquired by the ring.

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.

Knowledge Check

  • A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. Angular acceleration of ring is

    A
    `(qB_0)/(2m)`
    B
    `(qB_0)/(4m)`
    C
    `(qB_0)/m`
    D
    `(2qB_0)/m`

  • A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. The magnitude of an electric field on the circumference of the ring is

    A
    `aB_0`
    B
    `2aB_0`
    C
    `1/2aB_0`
    D
    zero

  • A thin non conducting ring of mass m , radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant t=0 , a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B_0t . Neglecting magnetism induced due to rotational motion of ring. Find intantaneous power developed by electric force acting on the ring at t=1 s

    A
    `(2q^(2)B_(0)^(2)a^(2))/(14m)`
    B
    `(q^(2)B_(0)^(2)a^(2))/(8m)`
    C
    `(3q^(2)B_(0)^(2)a^(2))/(m)`
    D
    `(q^(2)B_(0)^(2)a^(2))/(4m)`