Home
Class 11
PHYSICS
Figure shows a uniformly charged hemisph...

Figure shows a uniformly charged hemisphere of radius R. It has a volume charge density `rho`. If the electric field at a point 2R, above the its center is E, then what is the electric field at the point 2R below its center?

A

`(rhoR)/(6epsilon_(0))+E`

B

`(rhoR)/(12 epsilon_(0))-E`

C

`(-rhoR)/(6epsilon_(0))+E`

D

`(rhoR)/(24 epsilon_(0))+E`

Text Solution

Verified by Experts

The correct Answer is:
B

Apply principle of superposition
Electric field due to a uniformly charged sphere`=(rho R)/(12 epsilon_(0)), E_("resultant")=(rho R)/(12 in_(0))-E`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example Some worked out Examples|1 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-01|87 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Question|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

A hemisphere is uniformly charged positively. The electric field at a point on a diameter away from the centre is directed

A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre

If the potential at the center of a uniformly charged sphere of radius R is V then electric field at a distance r from the center of sphere will be ( r lt R ) : -

A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric filed due to the sphere at a distance r from its centre

A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are

A point charge Q is placed at the centre of a spherical conducting shell. A total charge of -q is placed on the shell. The magnitude of the electric field at point P_1 at a distance R_1 from the centre is X. The magnitude of the electric field due to induced charges at point P_2 a distance R_2 from the centre is Y. The values of X and Y are respectively.

Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is

In a uniformly charges sphere of total charge Q and radius R, the electric field E is plotted as a function of distance from the centre. The graph which would corresponding to the above will be :-

A hollow charged conductor has a tiny hole cut in to its surface show that the electric field in the hole is n where n is the charge density near the hole

ALLEN -MISCELLANEOUS-Part -II Example
  1. Two positrons (e+) and two protons (p) are kept on four corners of a s...

    Text Solution

    |

  2. Four charges are placed at the circumference of a dial clock as shown ...

    Text Solution

    |

  3. A small electric dipole is placed at origin with its dipole moment dir...

    Text Solution

    |

  4. Uniform electric field of magnitude 100 V//m in space is directed alon...

    Text Solution

    |

  5. Figure shows a uniformly charged hemisphere of radius R. It has a volu...

    Text Solution

    |

  6. A metallic rod of length I rotates at angular velocity omega about an...

    Text Solution

    |

  7. Consider a finite charged rod. Electric field at point P (shown) makes...

    Text Solution

    |

  8. The alectric potential in a region is given by the relation V(x)=4+5x^...

    Text Solution

    |

  9. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  10. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  11. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  12. A simple pendulum is suspended in a lift which is going up with an acc...

    Text Solution

    |

  13. The variation of potential with distance x from a fixed point is shown...

    Text Solution

    |

  14. The energy density u is plotted against the distance r from the centre...

    Text Solution

    |

  15. The figure shown four situations in which charges as indicated (q gt 0...

    Text Solution

    |

  16. An electric field is given by vec(E)=(yhat(i)+xhat(j))N/C. Find the wo...

    Text Solution

    |

  17. The arrangement shown consists of three elements. (i) A thin rod of ...

    Text Solution

    |

  18. Six charges are kept at the vertices of a regular hexagon as shown in ...

    Text Solution

    |

  19. Electric field in a region is given by vec(E)=-4xhat(i)+6yhat(j). The ...

    Text Solution

    |

  20. An infinite plane of charge with sigma=2 in(0) C/m^(2) is tilted at a ...

    Text Solution

    |