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 Question|1 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|7 Videos

Similar Questions

Explore conceptually related problems

Three large conducting sheets placed parallel to each other at a finite distance contain charges Q,-2Q, and 3Q , respectively. Find the electric fields at points A, B, C, and D.

A spherical conducting shell of inner radius r_(1) and outer radius r_(2) has a charge Q. (a) A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell? (b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.

Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 mu C//m , then the force acting on a unit length of each linear charge will be:

X and Y are large, parallel conducting plates close to each other. Each face has an area A . X is given a charge Q . Y is without any charge. Points A,B and C are as shown in the figure.

Four charges equal to -Q are placed at the four corners of a square and a charge q is at its centre. If the system is in equilibrium the value of q is

A solid spherical conducting shell has inner radius a and outer radius 2a. At the center of the shell is located a point charge +Q . What must the excess charge of the shell be in order for the charge density on the inner and outer surface of the shell to be exactly equal?

Figure shows three large metallic plates with chrges -Q, 3Q and Q respectively. Determine the final charges on all the surfaces.

Two point charges +9e and +e are kept 16 cm . Apart from each other. Where should a third charge q be placed between them so that the system is in equlibrium state:

Two positive charges of magnitude q are placed at the ends of a side ( side 1) of a square of side 2a . Two negative charges of the same magnitude are kept at the other corners . Staring from rest , a charge Q moves from the middle of side 1 to the centre of square , its kinetic energy at the centre of square is -.

Two conducting hollow spherical shells of radius R and 2R carry charges -Q and 3Q respectively. How much charge will flow into the earth if inner shell is grounded?

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

    |