Home
Class 12
PHYSICS
In the adjacent figure, the mutual induc...

In the adjacent figure, the mutual inducatance of the infinite straight wire and the coil is M, while the self inductance of the coil is L. The current in infinite wire is varying according to the realtion `l_(1) = alphat`, where `alpha` is a constant and `t` is the time. The time dependence of current in the coil is

A

`(Malpha)/(R )`

B

`(MalphaL)/(R )e^(-Rt//L)`

C

`(alpha)/(R )(1 - e^(-Rt//L))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    FIITJEE|Exercise PHYSICS|747 Videos

  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Assignment Problems (Objective) (Level-II)|20 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise COMPREHENSIONS ( Comprehension-II)|5 Videos

Similar Questions

Explore conceptually related problems

In Fig, the mutual inductance of a coil and a very long straight wire is M , coil has resistance R and self-inductance L . The current in the wire varies according to the law I = at , where a is a constant and t is the time, the time dependence of current in the coil is

The current in a coil decreases from 5 A to 0 in 0.1 sec. If the average e.m.f induced in the coil is 50 V, then the self inductance of the coil is

There are two stationary loops with mutual inductance L_(12) . The current is one of the loops starts to be varied as I_(1) = alpha t where alpha is a current, t is time. Find the time dependence I_(2) (t) of the current in the other loop whose inductance is L_(2) and resistance R .

The self-inductance of a coil is 2H. The current in the coil changes from 8A to 2.95 A in 0.01 s. The time constant of the coil will be -

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 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

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

A varying current at the rate of 3A//s in a coil generates an e.m.f. of 8mV in a nearby coil. The mutual inductance of the two coils is

The current (I) in the inductance is varying with time according to the plot shown in figure Which one of the following is the correct variation of voltage with time in the coil ?

Two coils, 1 & 2, have a mutual inductance = M and resistances R each. A current flows in coil 1, which varies with time as: I_(1)=kt^(2) , where K is a constant and 't' is time. Find the totalcharge that has flown through coil 2, between t=0 and t=T.

FIITJEE-TEST PAPERS-PHYSICS
  1. An infinite thread of charge density lambda lies along z-axis. The pot...

    Text Solution

    |

  2. The sun having surface temperature Ts radiates like a black body. The ...

    Text Solution

    |

  3. In the adjacent figure, the mutual inducatance of the infinite straigh...

    Text Solution

    |

  4. A cannon-ball is fired with a speed 50 m//sec with respect to ground f...

    Text Solution

    |

  5. A cubical box of side 1 m contains an ideal gas ata pressure 100 N//m^...

    Text Solution

    |

  6. Two fixed insulating rings A and B carry ahanges with uniform linear a...

    Text Solution

    |

  7. Magnetic field in the cylindrical regaion with its axis passing throug...

    Text Solution

    |

  8. A puck is moving in a circle in a circle of radius r(0) with a constan...

    Text Solution

    |

  9. Two spherical black bodies A and B are emitting radiations at same rat...

    Text Solution

    |

  10. A charge +q is placed at a distance 'd' from the centre of the uncharg...

    Text Solution

    |

  11. A physical quantity rho is calculated by using the formula rho =(1)/(1...

    Text Solution

    |

  12. A uniform squre plate of mass m is supported in a horizaontal plane by...

    Text Solution

    |

  13. The adjacent figure shows cross section of a hollow glass tube of inte...

    Text Solution

    |

  14. The given figure shows several possible elliptical orbits of a satelli...

    Text Solution

    |

  15. An object is projected from A and reaches B on the same horizontal sur...

    Text Solution

    |

  16. A solid uniform ball of volume V floats on the interface of two immisc...

    Text Solution

    |

  17. In the figure shown, water flows into the open vessel through pipe A a...

    Text Solution

    |

  18. The earth is moving on an elliptical path, whose one focus sun is situ...

    Text Solution

    |

  19. A body is moving under the acton of central force vrc(F)(r ) hat(e ). ...

    Text Solution

    |

  20. The range for a projectile that lands at the same elevation from which...

    Text Solution

    |