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 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)`

Text Solution

Verified by Experts

Using the results of hollow sphere as given in the table 7.4.
(i) `V_(A)=(KQ_(1))/R_(1)+(KQ_(2))/R_(2)` (ii) `V_(B)=(KQ_(1))/R_(1)+(KQ_(2))/R_(2)`
(iii) `V_(C)=(KQ_(1))/R_(2)+(KQ_(2))/R_(2)` (iv) for `r le R_(1), V=(KQ_(1))/R_(1)+(KQ_(2))/R_(2)`
(v) for `R_(1) le r le R_(2), V =(KQ_(1))/r+(KQ_(2))/R_(2)` (vi) for `r ge R_(2), V=(KQ_(1))/r+ (KQ_(2))/r`
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 total energy of the system.

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

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

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.

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)

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

Two uniformly charged concentric spherical shells of radius R and r, are given charges Q_1 and Q_2 respectively. If their potential difference is V, then it will not depends upon:

Two concentric spherical shells fo radill R and 2R are given charges Q_(1) and Q_(2) respectively. The surfaces charge densities of the outer surfaces are equal. Determine the ratio Q_(1) : Q_(2) .

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

    |