Home
Class 12
PHYSICS
An isolated conducting sphere of charge ...

An isolated conducting sphere of charge Q and radius R is connected to a similar uncharged sphere (kept at a large distance) by using a high resistance wire. After a long time is the amount of heat loss?

Text Solution

Verified by Experts

When two conducting spheres of equal radius are connected charge is equally distributed on them (Result VI). So we can say that heat loss of system
`Delta H = U_(i) - U_(f)`
`= ((Q^(2))/(8pi epsilon_(0)R) - 0) - ((Q^(2)//4)/(8pi epsilon_(0)R) + (Q^(2)//4)/(8pi epsilon_(0)R)) = (Q^(2))/(16 pi epsilon_(0)R)`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    MOTION|Exercise SELF MISCELLANEOUS PROBLEM (Example )|15 Videos
  • ELECTROSTATICS

    MOTION|Exercise SELF PRACTICE PROBLEM|27 Videos
  • ELECTRONICS - SEMI CONDUCTOR

    MOTION|Exercise EXERCISE - 3|29 Videos
  • ELECTROSTATICS - I

    MOTION|Exercise EXERCISE - 4 (Level -II) PREVIOUS YEAR - JEE ADVANCED|13 Videos

Similar Questions

Explore conceptually related problems

An isolated conducting sphere of charge Q and radius R is grounded by using a high resistance wire. What is the amount of heat loss ?

An isolated conduction sphere sphere whose radius R=1 m has a charge q=1/9nC. The energy density at the surfasce of the sphere is

A metallic sphere of radius R having charge Q is connected to an uncharged sphere of radius 3R . The amount of charge flown through connecting wire is

A conducting sphere of radius 2R carrying charge Q is joined to an uncharged conducting sphere of radius R . Find the charge flow through cinnecting wire.

A solid conducting sphere of radius r is having a charge Q and point charges +q and -q are kept at distance d from the centre of sphere as shown in the figure. The electric potential at the centre of solid sphere (assume potential to be 0 at infinity)

A conducting sphere of radius R and carrying a charge Q is joined to an uncharged conducting sphere of radius 2R . The charge flowing between them will be

An unchanged conducting sphere of radius R is placed near a uniformly charge ring of radius R. Total charge on ring is Q. The centre of sphere lies on axis of ring and distance of centre of sphere from centre of ring is R

A conducting sphere of radius R is charged to a potential of V volts. Then the electric field at a distance r ( gt R) from the centre of the sphere would be

MOTION-ELECTROSTATICS-Exercise -3 Section (B) Previous Year Problems | JEE Main
  1. An isolated conducting sphere of charge Q and radius R is connected to...

    Text Solution

    |

  2. Two point charges +8q and -2q are located at x=0 and x=L respectively....

    Text Solution

    |

  3. Two thin wire rings each having a radius R are placed at a distance d ...

    Text Solution

    |

  4. A charged ball B hangs from a silk thread S, which makes an angle thet...

    Text Solution

    |

  5. Two insulting plates are both uniformly charged in such a way that the...

    Text Solution

    |

  6. An electric dipole is placed at an angle of 30^@ to a non-uniform elec...

    Text Solution

    |

  7. Two spherical conductors A and B of radii 1mm and 2mm are separated by...

    Text Solution

    |

  8. The potential at a point x ( measured in mu m) due to some charges sit...

    Text Solution

    |

  9. Charges are placed on the vertices of a square as shown Let vecE ...

    Text Solution

    |

  10. An electric charge 10^-3muC is placed at the origin (0, 0) of X-Y co-o...

    Text Solution

    |

  11. Delta V measured between B and C is

    Text Solution

    |

  12. A thin spherical shell of radius R has charge Q spread uniformly over ...

    Text Solution

    |

  13. Statement I : For a charged particle moving form point P to point Q, t...

    Text Solution

    |

  14. Two points P and Q are maintained at the potentials of 10V and -4V, re...

    Text Solution

    |

  15. Let P(r)=(Q)/(piR^4)r be the charge density distribution for a solid s...

    Text Solution

    |

  16. A charge Q is place at each of the opposite corners of a square. A cha...

    Text Solution

    |

  17. A thin semi-circular ring of radius r has a positive charge q distribu...

    Text Solution

    |

  18. Two identical charged spheres are suspended by strings of equal length...

    Text Solution

    |

  19. Let there be a spherically symmetric charge distribution with charge d...

    Text Solution

    |

  20. Two positive charges of magnitude q are placed at the ends of a side (...

    Text Solution

    |

  21. The electrostatic potential inside a charged spherical ball is given b...

    Text Solution

    |