Home
Class 12
PHYSICS
Consider a non conducting plate of radiu...

Consider a non conducting plate of radius `a` and mass `m` which has a charge `q` distributed uniformly over it, The plate is rotated about its own axis with a angular speed `omega`. Show that the magnetic moment `M` and the angular momentum `L` of the plate are related as `(M)/(L)=(q)/(2m)`.

Text Solution

Verified by Experts

Since `I = (qv)/(2 pi r)`
So , magnetic
`mu = ia = (qv)/(2 pi r) pi r^(2)`
`rArr mu = (qmur)/(2 m) = (q)/(2m) l`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC FIELD

    HC VERMA ENGLISH|Exercise QUESTIONS FOR SHORT ASNWER|10 Videos
  • MAGNETIC FIELD

    HC VERMA ENGLISH|Exercise objective2|9 Videos
  • MAGNETIC FIELD

    HC VERMA ENGLISH|Exercise objective 1|10 Videos
  • LIGHT WAVES

    HC VERMA ENGLISH|Exercise Question for short Answer|11 Videos
  • MAGNETIC FIELD DUE TO CURRENT

    HC VERMA ENGLISH|Exercise questions for short answer|12 Videos

Similar Questions

Explore conceptually related problems

consider a nonconducting ring of radius r and mass m which has a total charge q distributed uniformly on it the ring is rotated about its axis with an angular speed omega . (a) Find the equivalent electric current in the ring (b) find the magnetic moment mu of the . (c) show that mu=(q)/(2m) where l is the angular momentum of the ring about its axis of rotation.

A thin disc of radius R has charge Q distributed uniformly on its surface. The disc is rotated about one of its diametric axis with angular velocity omega . The magnetic moment of the arrangement is

A thin uniform ring of radius R carrying charge q and mass m rotates about its axis with angular velocity omega . Find the ratio of its magnetic moment and angular momentum.

A disc of mass m has a charge Q distributed on its surface. It is rotating about an XX' with a angular velocity omega . The force acting on the disc is

A solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

A non-conducting thin disc of radius R charged uniformly over one side with surface density s rotates about its axis with an angular velocity omega . Find (a) the magnetic induction at the centre of the disc, (b) the magnetic moment of the disc.

A particle of charge q and mass m moves in a circular orbit of radius r with angular speed omega . The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

A particle of charge q and mass m moves in a circular orbit of radius r with angular speed omega . The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

The ratio of magnetic dipole moment and angular momentum of charged body of charge q and mass m is

A thin circular disk of radius R is uniformly charged with density sigma gt 0 per unit area.The disk rotates about its axis with a uniform angular speed omega .The magnetic moment of the disk is :

HC VERMA ENGLISH-MAGNETIC FIELD-Exercises
  1. A narrow beam of singly charged potassium ions of kinetic energy 32ke...

    Text Solution

    |

  2. Shows a convex lens of focal length 12 cm lying in a uniform magnetic...

    Text Solution

    |

  3. Electrons emitted with negligible speed from an electron gun are accel...

    Text Solution

    |

  4. Two particles, each having a mass m are placed at a separation d in a ...

    Text Solution

    |

  5. A uniform magnetic field of magnitude 0.20 T exists in space from e...

    Text Solution

    |

  6. A particle moves in a circle of diamater 1.0 cm under the action of ma...

    Text Solution

    |

  7. A proton goes undflected in a crossed and magnetic field (the fields...

    Text Solution

    |

  8. A particle having a charge of 5.0 mu C and a mass of 5.0 X 10^(-12)kg...

    Text Solution

    |

  9. A proton projected in a magnetic field of 0.020 T travels along a heli...

    Text Solution

    |

  10. A particle having mass m and charge q is released from the origin in a...

    Text Solution

    |

  11. An electron is emitted with negligible speed from th nagative plate of...

    Text Solution

    |

  12. A rectangular coil of 100 turns has length 5 cm and width 4 cm. it is ...

    Text Solution

    |

  13. A 50 turn circular coil of radius 2.0 cm carrying a current of 5.0 A ...

    Text Solution

    |

  14. A rectangular loop of sides 20 cm and 10 cm carries a current of 5.0 ...

    Text Solution

    |

  15. A circular coil of radius 2.0 cm has 500 turns in it and carries a cu...

    Text Solution

    |

  16. A circular loop carrting a current a current I has wire of total leng...

    Text Solution

    |

  17. A square coil of edge I having n turns carries a curent i. it is kept ...

    Text Solution

    |

  18. consider a nonconducting ring of radius r and mass m which has a tota...

    Text Solution

    |

  19. Consider a non conducting plate of radius a and mass m which has a cha...

    Text Solution

    |

  20. Consider a non conducting plate of radius a and mass m which has a cha...

    Text Solution

    |