Home
Class 12
PHYSICS
Two metal spheres, one fo radius R and ...

Two metal spheres, one fo radius R and the other of radius 2R, both have same surface charge density s. They are brought in contact and seprated. What will be new surface charge densitites on them ?

Text Solution

Verified by Experts

The correct Answer is:
`sigma_(1)=(5)/(3)sigma and sigma_(2)=(5)/(6)sigma`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise DPP 3.4|15 Videos

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise DPP 3.5|14 Videos

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise DPP 3.2|15 Videos

  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS|Exercise MCQ s|38 Videos

  • ELECTRICAL MEASURING INSTRUMENTS

    CENGAGE PHYSICS|Exercise M.C.Q|2 Videos

Similar Questions

Explore conceptually related problems

Two conducting spheres of unequal radii are given cahrge such that they have the same charge density. If they are now brought in contact,

Two metallic spheres of radii R and 2 R are charged so that both of these have same surface charge density, sigma . If they are connected to each other with a conducting wire, in which direction will the charge flow and why ?

A metal spherical shell has an inner radius R_(1) and outer radius R_(2) . A charge Q is placed at the center of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface ?

Two conducting spheres of radii r_(1) and r_(2) are charged to the same surface charge density . The ratio of electric field near their surface is

Two charged spheres of radii R_(1) and R_(2) having equal surface charge density. The ratio of their potential is

two metal spheres of radii R_(1) and R_(2) are charged to the same potential. The ratio of charges on the spheres is

To what potential we must charge an insulate sphere of radius 14 cm, so that the surface charge density is equal to 2 muC m^(-2) ?

Repeat the question if sphere is a hollow non-conducting sphere of radius R and has uniform surface charge density sigma .

Knowledge Check

  • Two conducting spheres of unequal radii are given cahrge such that they have the same charge density. If they are now brought in contact,

    A
    no charge will be exchanged between tem
    B
    charge will flow the larger to the smaller sphere
    C
    charge will flow from the smaller to the larger sphere
    D
    some heat will be produced

  • Two conducting spheres of radii r_(1) and r_(2) are charged to the same surface charge density . The ratio of electric field near their surface is

    A
    `r_(1)^(2)//r_(2)^(2)`
    B
    `r_(2)^(2)//r_(1)^(2)`
    C
    `r_(1)//r_(2)`
    D
    `1:1`

  • Two charged spheres of radii R_(1) and R_(2) having equal surface charge density. The ratio of their potential is

    A
    `R_(1)//R_(2)`
    B
    `R_(2)//R_(1)`
    C
    `(R_(1)//R_(2))^(2)`
    D
    `(R_(2)//R_(1))^(2)`
    • CENGAGE PHYSICS-ELECTRIC POTENTIAL-DPP 3.3
    1. Two metal spheres, one fo radius R and the other of radius 2R, both ...

      Text Solution

      |

    2. Two charges q(1) and q(2) are placed at (0,0d) and (0,0-d) respectivel...

      Text Solution

      |

    3. Equipotentials at a great distance from a collection of charges whose ...

      Text Solution

      |

    4. Figure shows some equipotential lines distributed in space. A charge...

      Text Solution

      |

    5. In the electric field of a point chargde q, a cetrain charge is carrie...

      Text Solution

      |

    6. Eluipotential surfcaces are shown in figure. Then the electric field s...

      Text Solution

      |

    7. In moving from A to B along an electric field line, the work done by t...

      Text Solution

      |

    8. Electric lines of force are as shown in the figure. Then potential at ...

      Text Solution

      |

    9. Two infinitely large charged planes having uniform suface charge densi...

      Text Solution

      |

    10. Equipotential surfaces

      Text Solution

      |

    11. Consider a uniform electric field in the hat (z) direction. The potent...

      Text Solution

      |

    12. Across the surface of a charged conductor, the electric

      Text Solution

      |

    13. Mark the correct statements :

      Text Solution

      |

    14. A conducting sphere of radius r has a charge . Then .

      Text Solution

      |

    15. Consider two conducting spheres of radii R(1) and R(2) with R(1) gt R(...

      Text Solution

      |

    16. Free electrons travel to region of higher potential or lower potential...

      Text Solution

      |

    17. Can there be a potential difference between two adjacent conductors c...

      Text Solution

      |

    18. A test charge q is made to move in the electric field of a point cha...

      Text Solution

      |

    19. Prove that a closed equipotenitial surface with no charge within itsel...

      Text Solution

      |

    20. Prove that, if an insulated, uncharged conductor is placed near a ch...

      Text Solution

      |