Home
Class 12
PHYSICS
A long cylindrical volume (of radius R) ...

A long cylindrical volume (of radius R) contains a uniformly distributed charge of density `rho`. Consider a point P inside the cylindrical volume at a distance x from its axis as shown in the figure. Here x can be more than or less than R. Electric field at point P is :

A

`(rho x)/(2 epsi_(0))` if `x lt R`

B

`(rho x)/epsi_(0)` if `x lt R`

C

`(rho R^(2))/(4 epsi_(0) x)` if `x gt R`

D

`(rho R^(2))/(2 epsi_(0) x)` if `x gt R`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE|Exercise Exercise - 2 Part - I|21 Videos

  • ELECTROSTATICS

    RESONANCE|Exercise Part- II|20 Videos

  • ELECTROSTATICS

    RESONANCE|Exercise Part - II Section (J)|13 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 long cylindrical volume contains a uniformly distributed charge of dendity rho . Find the electric field at a point P inside the cylindrical volume at a distance x from its axis (figure 30-E5) ,

A cylindrical long wire of radius R carries a current I uniformly distributed over the cross sectionasl area of the wire. The magnetic field at a distasnce x from the surface inside the wire is

A long, cylindrical wire of radius b carries a current i distributed uniformly over its cross section. Find the magnitude of the magnetic field at a point inside the wire at a distance a from the axis.

There is a hemisphere of radius R having a uniform volume charge density rho . Find the electric potential and field at the centre

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electic field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

An infinitely long solid cylinder of radius R with uniform volume charge density rho has a spherical cavity of radius (R)/(2) with its centre on the axis of the cylinder as shown in the figure. The magnitude of the electric field at a point P which is at a distance 2R from the axis of the cylinder is given by (23rhoR)/(6Kepsilon_(0)) . What is the value of K ?

Consider the Gaussian surface that surrounds parts of the charge distribution shown in figure. Then the contribution to the electric field at point P arises from charges

RESONANCE-ELECTROSTATICS-Part - III
  1. Column I gives certain situations involving two thin conducting shells...

    Text Solution

    |

  2. Column I gives a situation in which two dipoles of dipole moment p hat...

    Text Solution

    |

  3. Select the correct alternative :

    Text Solution

    |

  4. Two equal negative charges -q are fixed at points (0, -a) and (0,a) on...

    Text Solution

    |

  5. An oil drop has a charge -9.6xx10^(-19) C and mass 1.6xx10^(-15) gm. W...

    Text Solution

    |

  6. A non-conducting solid sphere of radius R is uniformly charged. The ma...

    Text Solution

    |

  7. A uniform electric field of strength e exists in a region. An electron...

    Text Solution

    |

  8. Which of the following quantites do not depend on the choice of zero p...

    Text Solution

    |

  9. the electric field intensity at apoint in space is equal in magnitude ...

    Text Solution

    |

  10. the electric field produced by a positively charged particle, placed i...

    Text Solution

    |

  11. At distance of 5 cm and 10 cm outwards from the surface of a uniformly...

    Text Solution

    |

  12. The electric potential decreases uniformly from 180V to 20V as one mov...

    Text Solution

    |

  13. An electric dipole is kept in the electric field produced by a point c...

    Text Solution

    |

  14. Four short dipoles each of dipole moment 'p' are placed at the vertice...

    Text Solution

    |

  15. Figure shows a charge q placed at the centre of a hemisphere. A second...

    Text Solution

    |

  16. A long cylindrical volume (of radius R) contains a uniformly distribut...

    Text Solution

    |

  17. An imaginary closed surface P is constructed around a neutral conducti...

    Text Solution

    |

  18. A and B are two concentric spherical shells. If A is given a charge +q...

    Text Solution

    |

  19. A large nonconducting sheet M is given a uniform charge density. Two u...

    Text Solution

    |

  20. A point charge 'q' is within an electrically neutral conducting shell ...

    Text Solution

    |