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

Two metal spheres, one of radius R and the other of radius 2R, both have same surface charge density `sigma.` If they are brought in contact and separated, then the new surface charge densities on each of the sphere are respectively

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 ENGLISH|Exercise DPP 3.4|15 Videos
  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS ENGLISH|Exercise DPP 3.5|15 Videos
  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS ENGLISH|Exercise DPP 3.2|15 Videos
  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS ENGLISH|Exercise MCQ s|38 Videos
  • ELECTRICAL MEASURING INSTRUMENTS

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

Similar Questions

Explore conceptually related problems

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 ?

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 ?

Answer the following: (i) If two similar large plates, each of area A having surface charge densities +sigma and -sigma are separated by a distance d in air,find the expression for (a) field at points between the two plates and on outer side of the plates. Specify the direction of the field in each case. (b) the potential difference between the plates. (c) the capacitance of the capacitor so formed. (ii) Two metallic spheres of radii R and 2R 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 conducting sphere of radius r has a charge . Then .

The magnitude of the electric field on the surface of a sphere of radius r having a uniform surface charge density sigma is

Two isolated metallic solid spheres of radii R and 2R are charged such that both of these have same charge density sigma . The spheres are located far away from each other and connected by a thin conducting wire. Find the new charge density on the bigger sphere.

Two concentric spheres of radii R and r have similar charges with equal surface charge densities (sigma) . The electric potential at their common centre is

A charged soap bobbe having surface charge density sigma and radius r. If the pressure inside and outsides the soap bubble is the same, then the surface tension of the soap solution is

A charge Q is placed at the centre of an uncharged, hollow metallic sphere of radius alpha. (a) Find the surface charge density on the inner surface and on the outer surface. (b) If a charge q is put on the sphere, what would be the surface charge densities on the inner and the outer surface?

A charge Q is placed at the centre of an uncharged, hollow metallic sphere of radius a. (a) Find the surface charge density on the inner surface and on the outer surface. (b) If a charge q is put on the sphere, what would be the surface charge densities on the inner and the outer surface? (c) Find the electric field inside the sphere at a distance x from the centre in the situations (a) and (b).

Knowledge Check

  • 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 ?

    A
    `5/2sigma, 5/4sigma`
    B
    `5/3sigma, 5/6sigma`
    C
    `3/5sigma, 6/5sigma`
    D
    `2/3sigma,1/2sigma`
  • CENGAGE PHYSICS ENGLISH-ELECTRIC POTENTIAL-DPP 3.3
    1. Two metal spheres, one of radius R and the other of radius 2R, both ha...

      Text Solution

      |

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

      Text Solution

      |

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

      Text Solution

      |

    4. Figure shows ome equipotential lines distributed in space. A charged o...

      Text Solution

      |

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

      Text Solution

      |

    6. Equipotential surfaces are shown in figure. Then the electric field st...

      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 z-direction. The potential i...

      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 reion of higher potential or lower potential.

      Text Solution

      |

    17. Assertion: Two adjacent conductors of unequal dimensions, carrting the...

      Text Solution

      |

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

      Text Solution

      |

    19. Prove that a closed equipotential surface with no charge within itself...

      Text Solution

      |

    20. Prove that, if an insulated, uncharged conductor is plated near a char...

      Text Solution

      |