Home
Class 12
PHYSICS
A very small circular loop of radius a i...

A very small circular loop of radius a is initially (at t = 0) coplaner and concentric with a much larger fixed circular loop of radius b. A constant I flows in the larger loop. The smaller loop is rotated with a constant angular speed `omega` about the common diameter. The emf induced in the smaller loop as a function of time t is

A

`(pia^(2)mu_(0)I)/(2b)omegacos(omegat)`

B

`(pia^(2)mu_(0)I)/(2b)omegasin(omega^(2)t^(2))`

C

`(pia^(2)mu_(0)I)/(2b)omegasin(omegat)`

D

`(pia^(2)mu_(0)I)/(2b)omegasin^(2)(omegat)`

Text Solution

Verified by Experts

The correct Answer is:
C
`B=(mu_(0)I)/(2b),A=pia^(2)`
`phi=vecB.vecA=BAcosomegat`
`e=-(dphi)/(dt)=-(mu_(0)I)/(2b).pia^(2)(-omegasinomegat)`
`=(mu_(0)Ipia^(2))/(2b)omegasinomegat`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise JEE Main|1 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise AIPMT|2 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTION|17 Videos

  • ELECTRIC POTENTIAL

    CHHAYA PUBLICATION|Exercise CBSE Scanner|13 Videos

  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|17 Videos

Similar Questions

Explore conceptually related problems

A very small circular loop of radius a is initially (at t = 0) coplanar and concentric with a much larger fixed circular loop of radius b. A constant current l flows in the larger loop. The smaller loop is rotated with a constant angular speed omega about the common diameter. The emf induced in the smaller loop as a function of time t is

A very small circular loop of area 5xx10^(-4)m^2 , resistance 2Omega and negligible inductance is initally coplanar and concentric with a much larger fixed circular loop of radius 0.1 m. A constant current of 1A s passed in the bigger loop and the smaller loop is rotated with angular velocity omega rad/s about a diameter.Calculate induced current in the smaller loop, as a function of time

Knowledge Check

  • A very small circular loop of radius a is initially (at t=0) coplanar and concentric with a much larger fixed circular loop of radius b.A constant current I flows in the larger loop the smaller loop is rotated with a consatnt angular speed omega about the common diameter the emf induced in the samller loop as a function of time t is

    A
    `(pia^2mu_0I)/(2b)omegacos(omegat)`
    B
    `(pia^2mu_0I)/(2b)omegasin(omega^2t^2)`
    C
    `(pia^2mu_0I)/(2b)omegasin(omegat)`
    D
    `(pia^2mu_0I)/(2b)omegasin2(omegat)`

  • A very samll circular loop of radius a is initially (at t=0) coplanar and concentric with a much larger fixed circular loop of radius b.A constant current I flows in the larger loop.the smaller loop is rotated with a constant angular speed omega about the common diameter the emf induced in the samller loop as a function of time t is

    A
    `(pia^2mu_0I)/(2b)omegacos(omegat)`
    B
    `(pia^2mu_0I)/(2b)omegasin(omega^2t^2)`
    C
    `(pia^2mu_0I)/(2b)omegasin(omegat)`
    D
    `(pia^2mu_0I)/(2b)omegasin^2(omegat)`

  • A circular loop of radius 0.3cm lies parallel to a much biger circular loop of radius 20cm the centre of small loop is on the axis of the bigger loop the distance between their centres is 15 cm if a current of 2.0A flows through the smaller loop then the flux linked with bigger loop is

    A
    `9.1xx10^(-11)`weber
    B
    `6xx10^(-11)`weber
    C
    `3.3xx10^(-11)`weber
    D
    `6.6xx10^(-9)`weber

    • Similar Questions

    Explore conceptually related problems

    A very small circular loop of area 5xx10^(-4)m^2 , resistance 2Omega and negligible inductance is initally coplanar and concentric with a much larger fixed circular loop of radius 0.1 m. A constant current of 1A s passed in the bigger loop and the smaller loop is rotated with angular velocity omega rad/s about a diameter.Calculate the flux linked with the smaller loop.

    A very small circular loop of area 5xx10^(-4)m^2 , resistance 2Omega and negligible inductance is initally coplanar and concentric with a much larger fixed circular loop of radius 0.1 m. A constant current of 1A passed in the bigger loop and the smaller loop is rotated with angular velocity omega rad/s about a diameter.Calculate induced emf

    A conducting circular loop of radius r carries a constant current I. It is placed in a uniform magnetic field vec(B) such that vec(B) is perpendicular to the plane of the loop. The magnetic force acting on the loop is

    A conducting circular loop of radius r carries a constant current l. It is placed in a ukniform magnetic field vecB such that vecB is perpendicular to the place of the loop. The magnetic force acting on the loop is

    The moment of inertia of a circular loop of radius R, at a distance of R/2 around a rotating axis parallel to horizontal diameter of loop is

    Home
    Profile