Home
Class 12
PHYSICS
Two coils have a mutual inductance 0.005...

Two coils have a mutual inductance `0.005 H`. The current changes in the first coil according to equation `I=I_(0)sin omegat`, where `I_(0)=10A` and `omega=100pi`radian//sec`. The maximum value of e.m.f. in the second coil is

A

`2pi`

B

`5pi`

C

`pi`

D

`4pi`

Text Solution

Verified by Experts

The correct Answer is:
B
`e=M(di)/(dt)=0.005xx(d)/(dt)(i_(0)sin omega t)`
`=0.0005xx i omega cos omega t`
`therefore e_(max)=0.005xx10xx100pi = 5pi " "[because cos omega t=1]`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    DISHA PUBLICATION|Exercise EXERCISE - 2 : Concept Applicator|29 Videos

  • ELECTROMAGNETIC INDUCTION

    DISHA PUBLICATION|Exercise EXERCISE - 2 : Concept Applicator|29 Videos

  • ELECTRIC CHARGES AND FIELDS

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept applicator|24 Videos

  • ELECTROMAGNETIC WAVES

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Two coils have a mutual inductance 0.005H. The current changes in the first coil according to the equation I=I_(0) sin omegat "where" I_(0)=10A and omega =100pi rad//s . The maximum value of emf wiin second coil is (pi//x) volts. Find the value of x.

Two coils have a mutual inductance of 0.005 H . the current changes in the first coil according to equation I=I_0 sinomegat , where I_0=10A and omega=100pirad//s . The maximum value of emf (in volt) in the second coil is

Two coils have a mutual inductance 0.005 H, The current changes in the first coil according to the equation i= i_(m) sin omega t where i_(m) = 10 A and omega= 100pi rad s^(-1) . The maximum value of the emf induced in the second coil is

Two coils have the mutual inductance of 0.05 H. The current changes in the first coil as I=I_(0)sin omegat , where I_(0)=1A and omega=100pi"rad/s" . The maximum emf induced in secondary coil is

Two coils have a mutual inductance of 5 xx 10^(-3) H . The current changes in the first coil according to the euquation, I_(1)=I_(0)sin omega t where I_(0)=10A and omega = 100 pi rad//s . What is the value of the maximum e.m.f in the second coil?

Two coils have a mutual iductance of 0.001 H. The current in the first coil is given by I=I_(0) sin (omega t) where I_(0)=5A and omega = 100 pi . What is the value of maximum e.m.f. in the second coil?

Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, I = 5 sin 200 pi t. The maximum value of emf induced in the second coil is

DISHA PUBLICATION-ELECTROMAGNETIC INDUCTION -EXERCISE - 1 : Concept Builder
  1. A metal conductor of length 1m rotates vertically about one of its end...

    Text Solution

    |

  2. A straight conductor of length 4 m moves at a speed of 10 m/s when the...

    Text Solution

    |

  3. Two coils have a mutual inductance 0.005 H. The current changes in the...

    Text Solution

    |

  4. A varying current in a coils charge from 10 A to zero in 0.5 s .If th...

    Text Solution

    |

  5. When the current in a coil changeg from 8 amperes to 2 amperes in 3xx1...

    Text Solution

    |

  6. A coil of N=100 turns and area 1cm^2 carries a current I=5 A and creat...

    Text Solution

    |

  7. In an inductance coil the current increases from zero to 6 ampere in 0...

    Text Solution

    |

  8. The mutual inductance of a pair of a coil is 0.75 H. if the current in...

    Text Solution

    |

  9. The coefficient of self-inductance of a solenoid is 0.18 mH. If a crud...

    Text Solution

    |

  10. Two coil are placed close to each other. The mutual inductance of the ...

    Text Solution

    |

  11. A current of 2.5 A flows through a coil of inductance 5 H. The magneti...

    Text Solution

    |

  12. Two neighbouring coils A and B have a mutual inductance of 20 mH. The ...

    Text Solution

    |

  13. When the current in a coil charges from 2A to 4A in 0.05 s, emf of 8 v...

    Text Solution

    |

  14. A coil is wound on a frame of rectangular cross - section. If all the ...

    Text Solution

    |

  15. Two coaxial solenoids are made by winding thin insulated wire over a p...

    Text Solution

    |

  16. A copper rod of length l is rotated about one end perpendicular to the...

    Text Solution

    |

  17. Aconductor of lengfht 0.4 m is moving with a speed of 7 m/s perpendic...

    Text Solution

    |

  18. A wire of length 1 m is moving at a speed of 2 ms^(-1) perpendicular t...

    Text Solution

    |

  19. Two identicaly induction coils each of inductance L joined in series ...

    Text Solution

    |

  20. A thin wire of length 2m is perpendicular to the xy plane. It is moved...

    Text Solution

    |