Home
Class 12
PHYSICS
The mutual inductance between the rectan...

The mutual inductance between the rectangular loop and the long straight wire as shown in figure is `M`.

A

`M =` zero

B

`M = (mu_(0) a)/(2pi)ln(1+(c )/(b))`

C

`M = (mu_(0)a)/(2pi)ln((a+b)/(b))`

D

`M = (mu_(0)a)/(2pi)ln(1+(b)/(b))`

Text Solution

Verified by Experts

The correct Answer is:
D
`d phi = B adx, d phi = (mu_(0)i)/(2pi x)a dx`
`phi = (mu_(0) ia )/(2pi)ln((c+b)/(c)) = Mi`
Promotional Banner

Topper's Solved these Questions

  • ELECTRO MAGNETIC INDUCTION

    NARAYNA|Exercise Level-I(H.W)|23 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

Find the mutual inductance between two rectangular loops, shown in the figure.

Mutual inductance in the figure shown is -

(a) Obtain an expression for the mutual inductance between a long straight wire and a square loop of side a as shown in Fig. (b) Evaluate the induced emf in loop if the wire carries a current of 50 A and the loop has an instantaneous velocity upsilon = 10 ms^(-1) at the location x = 0.2 m, as shown. Take a = 0.1m and assume that the loop has a large resistance.

Find the mutual inductance of a straight long wire and a rectangular loop, as shown in the figure.

A rectangular loop is placed to the left of large current carrying straight wire as shown in Figure. Current varies with time as I=2t . Find direction of induced current I_("in") in the square loop.

A long straight wire carries a current of 10.05 A to the right. A circular loop of wire lies below the long straight wire, as shown in the following figure. The current in the long straight wire decreases to zero in a time of 4.652 s. What direction does the induced current flow around the circular loop of wire?

NARAYNA-ELECTRO MAGNETIC INDUCTION-Level-II (H.W)
  1. Two identical conducting rings A and B of radius R are rolling over a ...

    Text Solution

    |

  2. A flexible wire loop in the shape of a circle has a radius that grows ...

    Text Solution

    |

  3. A square loop PQRS of side 'a' and resistance 'r' is placed near an in...

    Text Solution

    |

  4. A rectangular loop with a sliding connector of length l = 1.0 m is sit...

    Text Solution

    |

  5. A straight rod of length l si rotating about axis passing through O is...

    Text Solution

    |

  6. A rod of length 10 cm made up of conducting and non-conducting materia...

    Text Solution

    |

  7. A triangular wire frame (each side =2m) is placed in a region of time ...

    Text Solution

    |

  8. A uniform magnetic field of induction B is confined to a cyclindrical ...

    Text Solution

    |

  9. The e.m.f. induced in a secondary coil is 20000 V when the current bre...

    Text Solution

    |

  10. A small square loop of wire of side l is placed inside a large square ...

    Text Solution

    |

  11. A straight solenoid of length 1 m has 5000 turns in the primary and 20...

    Text Solution

    |

  12. Two coaxial circular loops of radius 0.5 m and 5 xx 10^(-2)m are separ...

    Text Solution

    |

  13. The mutual inductance between the rectangular loop and the long straig...

    Text Solution

    |

  14. An infinite long straight conducting cylinderical shell of radius a is...

    Text Solution

    |

  15. A mu F capacitor is charged by a 400 V supply through 0.1 M Omega resi...

    Text Solution

    |

  16. A resistance with an inductor of 8 H has the same time constant as it ...

    Text Solution

    |

  17. The cell in the circuit shows in Fig is ideal. The coil has an inducta...

    Text Solution

    |

  18. In the Fig., the final current through 30 Omega resistance when circui...

    Text Solution

    |

  19. In the circuit shown in figure switch S is closed at time t=0. The cha...

    Text Solution

    |

  20. A coil of wire having inductance and resistance has a conducting ring ...

    Text Solution

    |