Home
Class 12
PHYSICS
The region between two concentric sphere...

The region between two concentric spheres of radii 'a' and 'b', respectively (see figure), have volume charge density `rho=A/r`, where A is a constant and r is the distance from the centre. At the centre of the spheres is a point charge Q. The value of A such that the electric field in the region between the spheres will be constant, is:

A

`Q/(2pi (b^(2)-a^(2)))`

B

`(2Q)/(pi (a^(2)-b^(2)))`

C

`(2Q)/(pi a^(2))`

D

`Q/(2pi a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE|Exercise HLP|39 Videos

  • ELECTROSTATICS

    RESONANCE|Exercise Exercise - 3 Part - I|34 Videos

  • ELECTROMAGNETIC INDUCTION

    RESONANCE|Exercise A.l.P|19 Videos

  • EXPERIMENTAL PHYSICS

    RESONANCE|Exercise PART -II|10 Videos

Similar Questions

Explore conceptually related problems

A solid sphere of radius R has a volume charge density rho=rho_(0) r^(2) (where rho_(0) is a constant ans r is the distance from centre). At a distance x from its centre (for x lt R ), the electric field is directly proportional to :

A solid sphere of radius R has a charge Q distributed in its volume with a charge density rho=kr^a , where k and a are constants and r is the distance from its centre. If the electric field at r=(R)/(2) is 1/8 times that r=R , find the value of a.

A solid sphere of radius R is charged with volume charge density p=Kr^(n) , where K and n are constants and r is the distance from its centre. If electric field inside the sphere at distance r is proportional to r^(4) ,then find the value of n.

A solid sphere of radius R has a mass distributed in its volume of mass density rho=rho_(0) r, where rho_(0) is constant and r is distance from centre. Then moment of inertia about its diameter is

An insulating solid sphere of the radius R is charged in a non - uniform manner such that the volume charge density rho=(A)/(r ) , where A is a positive constant and r is the distance from the centre. The potential difference between the centre and surface of the sphere is

A solid non conducting sphere of radius R has a non-uniform charge distribution of volume charge density, rho=rho_(0)r/R , where rho_(0) is a constant and r is the distance from the centre of the sphere. Show that : (i) the total charge on the sphere is Q=pirho_(0)R^(3) (ii) the electric field inside the sphere has a magnitude given by, E=(KQr^(2))/R^(4)

RESONANCE-ELECTROSTATICS-Part - II
  1. A thin spherical shell of radius R has charge Q spread uniformly over ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Statement-1. For a charged particle moving from point P to point Q, t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Assume that an electric field vec(E) = 30 x^(2) hat(i) exists in spac...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Three concentric metallic spherical shells A,B and C of radii a,b and ...

    Text Solution

    |