Home
Class 12
PHYSICS
Two small metallic balls of radii R(1) &...

Two small metallic balls of radii `R_(1) & R_(2)` are kept in vacuum at a large distance compared to the radii. Find the ratio between the charges on the two balls at which electrostatic energy of the system is minimum. What is the potential difference between the two balls ? total charge of balls is constant.

Text Solution

Verified by Experts

The correct Answer is:
`[(Q_(1))/(Q_(2)) = (R_(1))/(R_(2))]`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs|40 Videos
  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs|33 Videos
  • GEOMETRICAL OPTICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|107 Videos

Similar Questions

Explore conceptually related problems

Two soap bubble of radii R_(1) and R_(2) are kept in vacuum at constant temperature, the ratio of masses of air inside them, is

Two equal charges of magnitude Q each are placed at a distance d apart. Their electrostatic energy is E. A third charge -Q//2 is brought midway between these two charges. The electrostatic energy of the system is now

The two oppositely charged rings of radii a are seprated by s . Find the potential difference between center of the ring ?

Two positive point charges are separated by a distance R. If the distance between the charges is reduced to R/2, what happens to the total electric potential energy of the system?

two metal spheres of radii R_(1) and R_(2) are charged to the same potential. The ratio of charges on the spheres is

calculate the change in electrostatic force between the two balls, if charge on both the balls are increased by 10%.

Two charged spheres of radii R_(1) and R_(2) having equal surface charge density. The ratio of their potential is

PHYSICS GALAXY - ASHISH ARORA-ELECTROSTATICS-Unsolved Numberical Problems
  1. Two identical balls of charge q(1) & q(2) initially have equal of the ...

    Text Solution

    |

  2. A positive charge +Q is fixed at a poibt A. Another positively charged...

    Text Solution

    |

  3. Figure shown a section through two long thin concentric cylinders of r...

    Text Solution

    |

  4. A point charge Q is located on the axis of disc of a radius R at a dis...

    Text Solution

    |

  5. A very long uniformly charged thread oriented along the axis of a a...

    Text Solution

    |

  6. Three point charges of 1C, 2C and 3C are placed at the . corners of an...

    Text Solution

    |

  7. Two small metallic balls of radii R(1) & R(2) are kept in vacuum at a ...

    Text Solution

    |

  8. Two concentric spheres of radii R and 2R are charged. The inner sphere...

    Text Solution

    |

  9. A charge Q is uniformly distributed over a rod of length l. Consider a...

    Text Solution

    |

  10. A particle having a charge of q=8.85muC is placed on the axis of a cir...

    Text Solution

    |

  11. Electrically charged drops of mercury fall from an altitude h into a s...

    Text Solution

    |

  12. A non-conducting sphere ofradius R has a positive charge which is dist...

    Text Solution

    |

  13. Two identical charges, 5 muC each are fixed at a distance 8 cm and a c...

    Text Solution

    |

  14. A particle of mass m and charge -q moves along a diameter of a uniform...

    Text Solution

    |

  15. Two concentric conducting thin shells of radius R and 2 R carry charge...

    Text Solution

    |

  16. The electric field strength depends only on the x and y coordinates ac...

    Text Solution

    |

  17. A very long charged wire (lying in the xy plane ) which is having a li...

    Text Solution

    |

  18. A solid sphere ofradius 'R' is uniformly charged with charge density r...

    Text Solution

    |

  19. Find the electric field at the origin due to the line charge (ABCD) of...

    Text Solution

    |

  20. A point charge +q & mass 100 gm experiences a force of 100N at a po...

    Text Solution

    |