Home
Class 12
PHYSICS
Two concentric spherical shells of radiu...

Two concentric spherical shells of radius `R_(1)` and `R_(2) (R_(2) gt R_(1))` are having uniformly distributed charges `Q_(1)` and `Q_(2)` respectively. Find out total energy of the system.

Text Solution

Verified by Experts

`U_("total")=U_("self 1")+U_("self 2")+U_("Interaction")=Q_(1)^(2)/(8piepsi_(0) R_(1))+Q_(2)^(2)/(8pi epsi_(0) R_(2))+(Q_(1)Q_(2))/(4pi epsi_(0) R_(2))`
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

Two concentric spherical shells of radius R_(1) and R_(2) (R_(2) gt R_(1)) are having uniformly distributed charges Q_(1) and Q_(2) respectively. Find out potential (i) at point (ii) at surface of smaller shell (i.e. at point B) (iii) at surface of larger shell (i.e. at point C) (iv) at r le R_(1) (v) at R_(1) le r le R_(2) (vi) at r ge R_(2)

The capacitance of two concentric spherical shells of radii R_(1) and R_(2) (R_(2) gt R_(1)) is

Figure shows two concentric spheres of radii R_(1) and R_(2) (R_(2) gt R_(1)) which contain uniformly distributed charges Q and -Q respectively. Find out electric field intensities at the following positions : (i) r lt R_(1) (ii) R_(1) le r le R_(2) (iii) r ge R_(2)

Two concentric uniformly charge spherical shells of radius R_(1) and R_(2) (R_(2) gt R_(1)) have total charges Q_(1) and Q_(2) respectively. Derive an expression of electric field as a function of r for following positions. (i) r lt R_(1) (ii) R_(1) le r lt R_(2) (iii) r ge R_(2)

Find force acting between two shells of radius R_(1) and R_(2) which have uniformly distributed charges Q_(1) and Q_(2) respectively and distance between their centres is r.

Two concentric, thin metallic spheres of radii R_(1) and R_(2) (R_(1) gt R_(2)) bear charges Q_(1) and Q_(2) respectively. Then the potential at distance r between R_(1) and R_(2) will be

Two non-conduction hollow uniformly charged spheres of radil R_(1) and R_(2) with charge Q_(1) and Q_(2) respectively are places at a distance r. Find out total energy of the system.

The concentric, thin metallic spheres of radii r_(1) and r_(2) (r_(1) gt r_(2)) carry charges q_(1) and q_(2) respectively. Then the electric potential at distance r (r_(2) lt r lt r_(1)) will be (1)/(4pi epsilon_(0)) times

RESONANCE-ELECTROSTATICS-HLP
  1. Two concentric spherical shells of radius R(1) and R(2) (R(2) gt R(1))...

    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

    |