Home
Class 12
PHYSICS
A cylindrical space of radius R is fille...

A cylindrical space of radius R is filled with a uniform magnetic induction parallel to the axis of the cylinder. If B charges at a constant rate, the graph showin the variation of induced electric field with distance r from the axis of cylinder is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A

`EMF=-(dphi)/(dt)=-(dBpir^(2))/(dt)=-pir^(2)(dB)/(dt)` or `E=((EMF)/r)=((pidB)/(dt))r` or `Epropr` for `rleR`. `rArr E prop 1/r` for `r gt R`.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    RESONANCE ENGLISH|Exercise Exercis-2 PART 1|14 Videos
  • ELECTROMAGNETIC INDUCTION

    RESONANCE ENGLISH|Exercise Exercis-2 PART 2|17 Videos
  • ELECTROMAGNETIC INDUCTION

    RESONANCE ENGLISH|Exercise Exercis-1|63 Videos
  • ELECTRODYNAMICS

    RESONANCE ENGLISH|Exercise Advanced level problems|31 Videos
  • ELECTROSTATICS

    RESONANCE ENGLISH|Exercise HLP|40 Videos

Similar Questions

Explore conceptually related problems

The magnetic field within cylindrical region whose cross - section is indicated starts increasing at a constant rate alpha tesla/sec . The graph showing the variation of induced field with distance r from the axis of cylinder is :

A cylinder of radius R and length l is placed in a uniform electric field E parallel to the axis of the cylinder. The total flux over the curved surface of the cylinder is

Consider a cylindrical surface of radius R and length l in a uniform electric field E. Compute the electric flux if the axis of the cylinder is parallel to the field direction.

Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

Which one of the following graphs shows the variation of magnetic induction B which distance r from a long wire carrying a current ?

A condenser is charged using a constant current. The ratio of the magnetic fields at a distance of R/2 and R from the axis is (R is the radius of plate )

A conducting disc of radius R is placed in a uniform and constant magnetic field B parallel to the axis of the disc.With what angular speed should the disc be rotated about its axis such that no electric field develops in the disc (the electric charge and mass are e and m )

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the axis. The total flux for the surface of the cylinder is given by

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the axis. The total flux for the surface of the cylinder is given by

Figure shows a circular region of radius R in which uniform magnetic field B exists. The magnetic field is increasing at a rate (dB)/(dt) . The induced electric field at a distance r from the centre for r lt R is

RESONANCE ENGLISH-ELECTROMAGNETIC INDUCTION-Exercis-1 PART 2
  1. The following figure a conducting disc rotating about its axis in a pe...

    Text Solution

    |

  2. Two identical conducting rings A & B of radius R are in pure rolling o...

    Text Solution

    |

  3. A cylindrical space of radius R is filled with a uniform magnetic indu...

    Text Solution

    |

  4. In the uniform electric field shown in figure, find

    Text Solution

    |

  5. A uniform magnetic field of induction B is confined to a cylindriacal ...

    Text Solution

    |

  6. A wire of fixed length is wound on a solenoid of length 'l' and radius...

    Text Solution

    |

  7. Two inductors L(1) and L(2) are connected in parallel and a time varyi...

    Text Solution

    |

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

    Text Solution

    |

  9. In the given circuit, let i(1) be the current drawn battery at time t=...

    Text Solution

    |

  10. In a series L-R growth circuit, if maximum current and maximum voltage...

    Text Solution

    |

  11. A solenoid having an iron core has its terminals connected across an i...

    Text Solution

    |

  12. Two inductors coils of self inductance 3H and 6H respectively are conn...

    Text Solution

    |

  13. The battery shown in the figure is ideal.The values are epsilon=10 V,R...

    Text Solution

    |

  14. When induced emf in inductor coil is 50% of its maximum value then sto...

    Text Solution

    |

  15. An inductor coil stores energy U when a current I is passed through it...

    Text Solution

    |

  16. Two coils are at fixed locations. When coil 1 has no current and the c...

    Text Solution

    |

  17. A rectangular loop of sides 'a' and 'b' is placed in xy plane. A very ...

    Text Solution

    |

  18. Two coils of self inductance 100 mH and 400 mH are placed very closed ...

    Text Solution

    |

  19. A long straight wire is placed along the axis of a circuit ring of rad...

    Text Solution

    |

  20. The frequency of oscillation of current in the inductor is:

    Text Solution

    |