Home
Class 12
PHYSICS
The coefficient of mutual inductance of ...

The coefficient of mutual inductance of two circuits `A` and `B` is `3 mH` and their respective resistances are `10 Omega` and `4 Omega`. How much current should change in `0.02 s` in circuit `A`, so that the induced current in `B` should be `0.0060 A`?

A

`0.24 A`

B

`1.6 A`

C

`0.18 A`

D

`0.16 A`

Text Solution

Verified by Experts

Induced current in `B = 0.006 A = 6 xx 10^(-3) A`
Induced emf in `B = 6 xx 10^(-3) xx 4V = 24 xx 10^(-3) V`
Now, `M(dI)/(dt) = 24 xx 10^(-3)`
or `dI = (24 xx 10^(-3) xx 0.02)/(3 xx 10^(-3))A = 0.16 A`
Promotional Banner

Topper's Solved these Questions

  • ELECTRO MAGNETIC INDUCTION

    NARAYNA|Exercise Level - III|64 Videos
  • ELECTRO MAGNETIC INDUCTION

    NARAYNA|Exercise NCERT Based Questions|10 Videos
  • ELECTRO MAGNETIC INDUCTION

    NARAYNA|Exercise Level -I (C.W)|26 Videos
  • ELECTRIC CHARGES AND FIELDS

    NARAYNA|Exercise EXERCISE -4|43 Videos
  • ELECTRO MAGNETIC WAVES

    NARAYNA|Exercise LEVEL-II(H.W)|14 Videos

Similar Questions

Explore conceptually related problems

The coefficient of mutual inductance of two circuits A and B is 3 mH and their respective resistanaces are 10 and 4 Omega . How much current should change in 0.02 s in circuit A , so that the induced current in B should be 0.0060 A ?

The coefficient of mutual inductance of two coils is 10 mH. IF the current flowing in one coil is 4A then the induced e.m.f in the second coil will be

A galvanometer has a resistance G Omega . It is shunted by a resistance of S Omega . How much resistance should be added in series so that the main current in the curcuit remains unchanged ?

Two circuits have coefficient of mutual induction of 0.09 henry. Average e.m.f. induced in the secondary by a change of current from 0 to 20 ampere in 0.006 second in the primary will be

In the circuit shown in figure-3.171, find current in 4Omega resistance.

A coil has an inductance of 0.5 H is connected in series with a resistance of 50 Omega to 240 V, 50 Hz AC. The maximum current in the circuit is

A resistor is connected to a battery of emf 10 V and internal resistance 0.3 Omega . What is the resistance of the resistor to be inserted in the circuit for the circuit current 1.2A?

Internal resistance of a cell of 4 V, which gives 0.2 A current through resistance of 10 Omega :

the resistance and inductance of series circuit are 5Omega and 20H respectively. At the instant of closing the switch, the current is increasing at the rate 4A-s . The supply voltage is

An a.c. circuit contains a resistance of 3 Omega and inductive reactance of 4Omega . The cosine of the phase angle between the current and potential difference in this circuit is

NARAYNA-ELECTRO MAGNETIC INDUCTION-Level-II (C.W)
  1. A uniform magnetic field existsin region given by vec(B) = 3 hat(i) + ...

    Text Solution

    |

  2. A conducting rod PQ of length 1 m is moving with uniform velocity of 2...

    Text Solution

    |

  3. A time varying magnetic field is present in a cyclindrical region R as...

    Text Solution

    |

  4. A metallic square loop ABCD is moving in its own plane with velocity v...

    Text Solution

    |

  5. The flux linked with a coil is 0.8 Wb when a 2 A current is flowing th...

    Text Solution

    |

  6. A solenoid of self inductance 1.2 H is in series with a tangent galvan...

    Text Solution

    |

  7. There are two batteries 'A' and 'B' having same emf. A has no internal...

    Text Solution

    |

  8. An emf induced in a secondary coil is 10000 V when the current breaks ...

    Text Solution

    |

  9. A mutual inductor consists of two coils X and Y as shown in Fig. in wh...

    Text Solution

    |

  10. A long solenoid of length L, cross section A having N(1) turns has abo...

    Text Solution

    |

  11. A small coil of radius r is placed at the centre of a large coil of ra...

    Text Solution

    |

  12. The coefficient of mutual inductance of two circuits A and B is 3 mH a...

    Text Solution

    |

  13. The key 'K' is switched on at t = 0. Then the currents through battery...

    Text Solution

    |

  14. The current in an L-R circuit builds upto 3//4th of its steady state v...

    Text Solution

    |

  15. For the circuit shown, initially 'S' is closed for a long time so that...

    Text Solution

    |

  16. A coil of inductance 1 H and resistance 10Omega is connected to a resi...

    Text Solution

    |

  17. Current growth in two LR circuits (A) and (B) is as shown in figure (C...

    Text Solution

    |

  18. In an LR circuit, current at t = 0 is 20 A. After 2 s it reduces to 18...

    Text Solution

    |

  19. A chock coil has an inductance of 4H and a resistance of 2 Omega. It i...

    Text Solution

    |

  20. A coil of 40 H inductance is connected in series with a resistance of ...

    Text Solution

    |