Home
Class 12
PHYSICS
A coil of radius R carries current i1. A...

A coil of radius R carries current `i_1`. Another concentric coil of radius `r(rlt ltR)` carries current `i_2`. Planes of two coils are mutually perpendicular and both the coil are free to rotate about common diametre. Find maximum kinetic energy of smaller coil when both the coils are released, masses of coils are M and m, respectively.

Text Solution

Verified by Experts

The correct Answer is:
`[(mu_(0)pi r^(3)i_(1)i_(2)MR)/(2(MR^(2)+mr^(2)))]`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC EFFECTS OF CURRENT AND MAGNETISM

    PHYSICS GALAXY - ASHISH ARORA|Exercise Discussion Question|23 Videos
  • MAGNETIC EFFECTS OF CURRENT AND MAGNETISM

    PHYSICS GALAXY - ASHISH ARORA|Exercise Conceptual MCQ|37 Videos
  • MAGNETIC EFFECTS OF CURRENT AND MAGNETISM

    PHYSICS GALAXY - ASHISH ARORA|Exercise U.N.P|79 Videos
  • Kinetic Theory of Gases and Gas Laws

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems for Preparation of NSEP, INPhO & IPhO|64 Videos
  • NUCLEAR PHYSICS AND RADIOACTIVITY

    PHYSICS GALAXY - ASHISH ARORA|Exercise Concptual MCQs|48 Videos

Similar Questions

Explore conceptually related problems

A coil of radius R carries a current i_(1) . Another concentric coil of radius r (r lt lt R) carries a current i_(2) . Planes of two coils are mutually perpendicular and both the coils are free to rotate about common diameter. Find maximum kinetic energy attained by the two coils, when both are released from rest. The masses of two coils are M and m respectively. Strategy : The magnetic field due to coil of radius R is (mu_(0)i_(1))/(2R) . This field exerts a torque on shorter coil. An equal and opposite torque is exerted by the shorter coil on larger coil. There is no external torque acting on the system. The angular momentum remains conserved. Also the total mechanical energy remains conserved. At any instant, let omega_(1) and omega_(2) represent the angular velocity

A coil of radius R carries a current I . Another concentric coil of radius r (r lt lt R) carries current (1)/(2) . Initially planes of the two coils are mutually prependicular and both the coil are free to rotate about common diameter. They are released from rest from this position. The masses of the coils are M and m respectively. (m lt M) . During the subsequeny motion let K_(1) and K_(2) be the maximum kinetic energies of the two cells respectively. and let U be the magnetic of maximum potential energy of magnetic interaction of the system of the coils. Choose the correct options.

A coil of length L, carries a current i. The magnetic moment of coil is proportional to

A small coil of radius r is placed at the centre of another coaxial coil of radius R(Rgtgtr) find the coeffcient for this pair of coils.

Figure shows a larger horizontal coil of radius R carrying a current I. Another small coil of radius r(r lt lt R) carrying a current i & N turns is placed at the centre with its plane at an angle theta from the axis. Find the torque experienced by the smaller coil in this situation.

A small coil of radius r is placed at the center of a large coil of radius R, where R>>r. The two coils are coplanar. The mutual inductance between the coils is proportional to

A small coil of radius r is placed at the centre of a large coil of radius R , where R gtgt r . The two coils are coplanar. The mutual inductance between the coils is proportional to

A 200 turn closely wound circular coil of radius 15 cm carries a current of 4 A. The magnetic moment of this coil is

A circular coil of radius 10 cm having 100 turns carries a current of 3.2 A. The magnetic field at the center of the coil is

PHYSICS GALAXY - ASHISH ARORA-MAGNETIC EFFECTS OF CURRENT AND MAGNETISM-Practice Exercise
  1. A positively charged particle having charge q1 = 1 C and mass m1 =40 g...

    Text Solution

    |

  2. From the surface of a round wire of radius a carrying a direct current...

    Text Solution

    |

  3. In the Bohr model of the hydrogen atom, the electron circuulates aroun...

    Text Solution

    |

  4. A rectangular loop consists of N = 100 closed wrapped turns and has di...

    Text Solution

    |

  5. A coil in the shape of an equilateral triangle of side 0.02 m is suspe...

    Text Solution

    |

  6. A wire loop carrying I is placed in the x-yplane as shown in fig. (...

    Text Solution

    |

  7. A coil of radius R carries current i1. Another concentric coil of radi...

    Text Solution

    |

  8. A small coil C with N = 200 turns is mounted on one end of a balanc...

    Text Solution

    |

  9. A uniform constant magnetic field B is directed at an angle of 45^(@) ...

    Text Solution

    |

  10. Calculating the magnetic moment ( in Am^2) of a thin wire with a curre...

    Text Solution

    |

  11. A flat circular coil with 10 turns of wire on it has a diameter 20mm a...

    Text Solution

    |

  12. A coil al a moving Coil galvanometer twists through 90^@ when a curren...

    Text Solution

    |

  13. A short bar magnet is placed in magnetic meridian with its north pole ...

    Text Solution

    |

  14. A magnetic dipole of magnetic moment 6Am^(2) is lying in a horizontal ...

    Text Solution

    |

  15. A coil of 50 turns and 10cm diameter is made out of a wire of resistiv...

    Text Solution

    |

  16. Two circular coils C1 and C2 each of 100 turns are held in such a way ...

    Text Solution

    |

  17. A magnetic needle suspended in a vertical plane at 30^@ from the magne...

    Text Solution

    |

  18. Two small magnets of magnetic moments 0.108Am^(2) and 0.192 Am^(2) are...

    Text Solution

    |

  19. A short magnet porduces a deflection of 30^(@) when placed at certain ...

    Text Solution

    |

  20. A magnetic needle performs 20 oscillations per minute in a horizontal ...

    Text Solution

    |