Home
Class 12
PHYSICS
A conducting disc of radius r rotaes wit...

A conducting disc of radius r rotaes with a small but constant angular velocity `omega` about its axis. A uniform magnetic field B exists parallel to the axis of rotation. Find the motional emf between the centre and the periphery of the disc.

Text Solution

Verified by Experts

Velocity at a dostance `(r/2)` from the centre`
`= (r omega)/2`
`E=Blv=Bxxrxx(r omega)/2`
`=(1/2)Br^2 omega.`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    HC VERMA|Exercise EXERCISE|9 Videos
  • ELECTROMAGNETIC INDUCTION

    HC VERMA|Exercise Objective 2|10 Videos
  • ELECTRIC FIELD AND POTENTIAL

    HC VERMA|Exercise Exercises|75 Videos
  • ELECTROMAGNETIC WAVES

    HC VERMA|Exercise Exercises|9 Videos

Similar Questions

Explore conceptually related problems

A wheel having n conducting concentric spokes is rotating about it geometrical axis with an angular velocity omega , in a uniform magnetic field B perpendicular to its plane prove that the induced emf generated between the rim of the wheel and the center is (omegaBR^2)/2 , where R is the radius of the wheel. It is given that the rim of the wheel is conducting.

A wheel of radius 2m having 8 conducting concentric spokes is rotating about its geometrical axis with an angular velocity of 10 rad/s in a uniform magnetic field of 0.2T perpendicular to its plane. The value of induced emf between the rim of the wheel and centre is ......... V

A 1.0 m long metallic rod is rotated with an angular frequency of "400 rad s"^(-1) about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.

A metallic rod of 1 m length is rotated with a frequency of 50 rev/s, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius 1 m, about an axis passing through the centre and perpendicular to the plane of the ring (Fig.). A constant and uniform magnetic field of 1 T parallel to the axis is present everywhere. What is the emf between the centre and the metallic ring?

A metallic rod of 1 m length is rotated with a frequency of 50 rev/s, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius 1 m, about an axis passing through the centre and perpendicular to the plane of the ring as per figure. A constant and uniform magnetic field of 1T parallel to the axis is present everywhere. What is the emf between the centre and the metallic ring ?

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

ODBAC is a fixed rectangular conductor of negligible resistance (CO is not connected) and OP is a conductor which rotates clockwise with an angular velocity omega as figure. The entire system is in a uniform magnetic field B whose direction is along the normal to the surface of the rectangular conductor ABDC. The conductor OP is in electric contact with ABDC. The rotating conductor has a resistance of lambda per unit length. Find the current in the rotating conductor, as it rotates by 180^@ .

HC VERMA-ELECTROMAGNETIC INDUCTION-Exercises
  1. A conducting wire ab of length l, resistance r and mass m starts slidi...

    Text Solution

    |

  2. A bicycle is resting on its stand in the east - west direction and the...

    Text Solution

    |

  3. A conducting disc of radius r rotaes with a small but constant angul...

    Text Solution

    |

  4. shows a conducting disc rotating about its axis in a perpendicular ma...

    Text Solution

    |

  5. The magnetic field inn a region is given by vec B = (B0)/(L) y overse...

    Text Solution

    |

  6. shows a straight, long wire carrying a current I and a rod of length l...

    Text Solution

    |

  7. Consider a situation similar ot that of the previous problem except th...

    Text Solution

    |

  8. Shows a square frame of wire having a total resistance r placed coplan...

    Text Solution

    |

  9. A rectangular metallic loop of length l and width b is placed coplan...

    Text Solution

    |

  10. Shows a conducting circular loop of radius a placed in a uniform, perp...

    Text Solution

    |

  11. Consider the situation shown in the figure o fthe previous problem. Su...

    Text Solution

    |

  12. Consider a variation of the previous problem. Suppose the circular loo...

    Text Solution

    |

  13. Shows a situation similar to the previous problem. All parameters are...

    Text Solution

    |

  14. A wire of mass m and length l can slide freely on a pair of smooth, ve...

    Text Solution

    |

  15. A uniform magnetic field B exists in a cylindrical region, shown dotte...

    Text Solution

    |

  16. The current in an ideal, long solenoid is veried at a uniform rate of...

    Text Solution

    |

  17. An average emf of 20 V is induced in an inductor when the current in...

    Text Solution

    |

  18. A magnetic flux of 8X10^(-4) weber is linked with each turn of a 200 -...

    Text Solution

    |

  19. The current is a solenoid of 240 turns, having a length of 12 cm and ...

    Text Solution

    |

  20. Find the value of t/tau for which the current in an LR circuit builds ...

    Text Solution

    |