Home
Class 12
PHYSICS
A spherical shell having charge +Q (unif...

A spherical shell having charge +Q (uniformly distributed) and a point charge `+ q_(0)` are placed as shown. Find the force between shell and the point charge `(r gt gt R)`.

(i) Force on the point charge `+q_(0)` due to the shell `=q vec(E)_("0 shell")=(q_(0)) ((KQ)/r^(2))hat(r)=(KQq_(0))/r^(2) hat(r)` where `hat(r)`. is unit vector along OP.
From action - reaction principle, force on the shell due to the point charge will also be : `F_("shell")=(KQq_(0))/r^(2) (-hat(r))`
Conslusion : To find the force on a hollow sphere due to outside charges, we can replace the sphere by a point charge kept at centre.

Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE|Exercise Problems|22 Videos
  • ELECTROSTATICS

    RESONANCE|Exercise Exercise-1 Section (A)|9 Videos
  • ELECTROMAGNETIC INDUCTION

    RESONANCE|Exercise A.l.P|19 Videos
  • EXPERIMENTAL PHYSICS

    RESONANCE|Exercise PART -II|10 Videos

Similar Questions

Explore conceptually related problems

A spherical shell having charge +Q (uniformly distributed) and placed as shown. Find the force between shell and the point charge (r gt gt R) .

There is a hemispherical shell having charge Q uniformly distributed on its surface. Radius of the shell is R. Find electric potential and field at the centre (of the sphere).

Inside a charged thin conducting shell of radius R, a point charge +Q is placed as shown in figure potential of shell may be

A thin metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q_(1) is placed outside it as shown in figure. All the three charges are positive The force on the charge at the centre is

A spherical shell of radius R has a charge +q units. The electric field due to the shell at a point

Figure (a) shows a shall of radius R having charge q_(1) uniformly distributed over it. A point charge q is placed at the centre of shell. Find amount of work required to increase the radius of shell from R to R_(1) as shown in figure (b).

A spherical shell of radius R_(1) with a uniform charge q has a point charge q_0 at its center. Find the work performed by the electric forces during the shell expansion from radius R_(1) to radius R_(2) .

RESONANCE-ELECTROSTATICS-HLP
  1. A spherical shell having charge +Q (uniformly distributed) and a point...

    Text Solution

    |

  2. An electrometer consister of a fixed vertical metal bar OB at the top ...

    Text Solution

    |

  3. A uniform rod AB of mass m and length l is hinged at its mid point C. ...

    Text Solution

    |

  4. (i) Three equak charge q(0) each are placed at three corners of an equ...

    Text Solution

    |

  5. A solid of radius 'R' is uniformly charged with charge density rho in ...

    Text Solution

    |

  6. A uniform surface charge of density sigma is given to a quarter of a d...

    Text Solution

    |

  7. Figure shows a rod of length L which is uniformly charged with linear ...

    Text Solution

    |

  8. A charged ball of mass 5.88xx10^(-4) kg is suspended from two silk str...

    Text Solution

    |

  9. A charge of 16xx10^(-9) C is fixed at the origin of coordinates. A sec...

    Text Solution

    |

  10. Two large conducting plates are placed parallel to each other with a ...

    Text Solution

    |

  11. A ball of mass 10^(-2) kg and having charge + 3 xx 10^(-6)C is tied at...

    Text Solution

    |

  12. A system consits fo a thin charged wire ring of radius R and a very ...

    Text Solution

    |

  13. A thin nonconducting ring of radius R has a linear charge density ...

    Text Solution

    |

  14. Two point charges q and -q are separated by the distance 2l. Find the...

    Text Solution

    |

  15. A system consists of a ball of radius R carrying a uniformly distribut...

    Text Solution

    |

  16. Find the electric field potentail and strength at the centre of a hem...

    Text Solution

    |

  17. A non-conducting disc of radius a and uniform positive surface charge ...

    Text Solution

    |

  18. The potential difference between two large parallel plates is varied a...

    Text Solution

    |

  19. Four point charges +8muC,-1muC,-1muC and , +8muC are fixed at the poin...

    Text Solution

    |

  20. A small ball of mass 2 xx 10^-3 kg, having a charge 1 mu C, is suspend...

    Text Solution

    |

  21. Three point charges q, 2q and 8q are to be placed on a . 9cm long st...

    Text Solution

    |