Home
Class 12
PHYSICS
The electrostatic potential inside a cha...

The electrostatic potential inside a charged spherical ball is given by `phi=ar^2+b` where r is the distance from the centre and a, b are constants. Then the charge density inside the ball is:

A

`-6 a epsilon_(0)r`

B

`-24 a epsilon_(0)r`

C

`-6 a epsilon_(0)`

D

`-24pi a epsilon_(0)r`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    MOTION|Exercise Exercise -3 Section (A)|41 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

The electrostatic potential inside a charged spherical ball is given by phi = ar^(2) + b , where r is distance from the center of the ball, a and b are constants. Calculate the charge density inside the ball.

The electrostatic potential of a uniformly charged thin spherical shell of charge Q and radius R at a distance r from the centre

The electric potential in a region is given as V = -4 ar^2 + 3b , where r is distance from the origin, a and b are constants. If the volume charge density in the region is given by rho = n a epsilon_(0) , then what is the value of n?

The potential inside a charged ball depends only on the distance r of the point form its centre according to the following relation V=Ar^(2)+B volts The charge density inside the ball will be

A non-conducting spherical ball of radius R contains a spherically symmetric charge with volume charge density rho=kr^(2) where r is the distance form the centre of the ball and n is a constant what should be n such that the electric field inside the ball is directly proportional to square of distance from the centre?

The electric field inside a spherical shell of uniform surface charge density is

Why is the electrostatic potential inside a charged conducting shell constant throughout the volume of the conductor?

MOTION-ELECTROSTATICS-Exercise -3 Section (B) Previous Year Problems | JEE Main
  1. A thin spherical shell of radius R has charge Q spread uniformly over ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Two identical charged spheres suspended from a common point by two mas...

    Text Solution

    |

  12. An insulating solid sphere of radius R has a uniformly positive charge...

    Text Solution

    |

  13. In a uniformly charged sphere of total charge Q and radius R, the elec...

    Text Solution

    |

  14. Two charges, each equal to q, aer kept at x=-a and x=a on the x-axis. ...

    Text Solution

    |

  15. A charge Q is uniformly distributed over a long rod AB of length L as ...

    Text Solution

    |

  16. Assume than an electric field vec(E ) = 30 x^(2)hat(i) exists in space...

    Text Solution

    |

  17. A uniformly charged solid shpere fo radius R has potential V(0) (meas...

    Text Solution

    |

  18. A long cylindrical shell carries positive surface charge sigma in the ...

    Text Solution

    |

  19. The region between two concentric spheres of radii 'a' and 'b', respec...

    Text Solution

    |

  20. An electric dipole has a fixed dipole moment vec(p), which makes angle...

    Text Solution

    |