Home
Class 11
PHYSICS
Two conducting plates A and B are placed...

Two conducting plates A and B are placed parallel to each other. A is given a charge `Q_1` and B a charge `Q_2`. Prove that the charges on the inner surfaces are of equal magnitude and opposite sign.

Text Solution

Verified by Experts

Consider a Gaussian surface as shown in figure. Two faces of this closed surface lie completely inside the conductor where the electric field is zero
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Exercise-01|87 Videos
  • MISCELLANEOUS

    ALLEN|Exercise SUBJECTIVE QUESTION|9 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

Two conducting plates A and B are placed parallel to each other. A is given a charge. Q_1 and B a charge Q_2 . Find the distribution of charges on the four surface.

Three large plates A, B and C are placed parallel to each other and charges are given as shown. The charge that appears on the left surface of plate B is

A and B are two large identical thin metal plates placed parallel to each other at a small separation. Plate A is given a charge Q. (i) Find the amount of charge on each of the two faces of A and B. (ii) Another identical plate C having charge 3Q is inserted between plate A and B such that distance of C from B is twice its distance from A. Plate A and B is shorted using a conducting wire. Find charge on all six faces of plates A, B and C. (iii) In the situation described in (ii) the plate A is grounded. Now write the charge on all six faces.

Two conducting plates X and Y, having large surface area A (on one side), are placed parallel to each other as shown in figure. The plate X is given a charge Q whereas the other is neutral. Find : (a) The surface charge density at the inner surface of the plate X, (b) The electric field at a point to the left of the plates, (c) The electric field at a point in between the plates and (d) The electric field at a point to the right of the plates.

Two large conducting plates are placed parallel to each other with a separation of d between them. An electron starting from rest near one of the plates reaches the other plate in time t. If e is the charge on the electron and m is its mass, then the surface charge density on the inner surface is

In a parallel plate capacitor with plate area A and charge Q, the force on one plate because of the charge on the other is equal to

Two large parallel conducting plates are placed close to each other ,the inner surface of the two plates have surface charge densities +sigma and -sigma .The outer surfaces are without charge.The electric field has a magnitude of

ALLEN-MISCELLANEOUS-Part -II Example
  1. If an isolated infinite plate contains a charge Q1 on one of its surfa...

    Text Solution

    |

  2. Three large conducting sheets placed parallel to each other at a finit...

    Text Solution

    |

  3. Two conducting plates A and B are placed parallel to each other. A is ...

    Text Solution

    |

  4. Figure shows three large metallic plates with chrges -Q, 3Q and Q resp...

    Text Solution

    |

  5. An isolated conducting sheet of area A and carrying a charge Q is plac...

    Text Solution

    |

  6. An uncharged conductor of inner radius R(1) and outer radius R(2) cons...

    Text Solution

    |

  7. An unchanged conductor of inner radius R(1) and outer radius R(2) cont...

    Text Solution

    |

  8. When the switch is closed find the charge flown through switch?

    Text Solution

    |

  9. The two conducting spherical shells are joined by a conducting wire an...

    Text Solution

    |

  10. Find charge on each spherical shell after joining the inner most shell...

    Text Solution

    |

  11. Two conducting hollow spherical shells of radius R and 2R carry charge...

    Text Solution

    |

  12. An isolated conducting sphere of charge Q and radius R is connected to...

    Text Solution

    |

  13. Two positrons (e+) and two protons (p) are kept on four corners of a s...

    Text Solution

    |

  14. Four charges are placed at the circumference of a dial clock as shown ...

    Text Solution

    |

  15. A small electric dipole is placed at origin with its dipole moment dir...

    Text Solution

    |

  16. Uniform electric field of magnitude 100 V//m in space is directed alon...

    Text Solution

    |

  17. Figure shows a uniformly charged hemisphere of radius R. It has a volu...

    Text Solution

    |

  18. A metallic rod of length I rotates at angular velocity omega about an...

    Text Solution

    |

  19. Consider a finite charged rod. Electric field at point P (shown) makes...

    Text Solution

    |

  20. The alectric potential in a region is given by the relation V(x)=4+5x^...

    Text Solution

    |