Home
Class 12
PHYSICS
A dielectric cylinder of radius a is inf...

A dielectric cylinder of radius a is infinitely long. It is non-uniformly charged such that volume charge density `rho` varies directly as the distance from the cylinder. Calculate the electric field intensity due to it at a point located at a distance r from the axis of the cylinder. Given that `rho` is zero at the axis and it is equal to `rho` on the surface of cylinder. Also calculate the potential difference between the axis and the surface. `[(rhor^(2))/(3in_(0)a),(rhoa^(2))/(9in_(0))]`

Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Partice Exercise 1.2|1 Videos
  • ELECTROSTATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Partice Exercise 1.3|1 Videos
  • ELECTROSTATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Partice Exercise 1.1|1 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

A cylinder of length L has a charge of magnitude q. The electric intensity at a point at a distance r from the axis of the cylinder is

If sigma is surface density of charge on the charged cylinder of radius R, then electric intensity E at outer point at a distance r from its axis is

How does the electric field (E) between the plates of a charged cylindrical capacitor vary with the distance r from the axis of the cylinder ?

A solid cylinder carries current of 1 A uniformly distributed over its cross sectional area. Calculate the magnetic field induction at point P, at a distance of 3 cm from the axis of cylinder, if its radius is 7 cm .

A ball of radius R is uniformly charged with the volume density rho . Find the flux if the electric field strength vector across the balls section formed by the plane located at a distance r_(0) lt R from the centre of the ball.

There is one long non-conducting solid cylinder of radius R. The volume charge density is given by rho=kx^2 where k is a constant and x is the distance of the point from centre of cylinder. Electric field intensity inside the cylinder at a distance x from the centre is

Inside a uniformly charged infinitely long cylinder of radius 'R' and volume charge density 'rho' there is a spherical cavity of radius 'R//2'. A point 'P' is located at a dsintance 2 R from the axis of the cylinder as shown. Then the electric field strength at the point 'P' is

The electric intensity due to a charged conducting cylinder of radius 0.1 m at a distance of 1 m from the axis of the cylinder of charge density 1.77muC//m in a dielectric medium of dielectric constant 2 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 ?

PHYSICS GALAXY - ASHISH ARORA-ELECTROSTATICS-Partice Exercise
  1. A conducting sphere S1 of radius r is attached to an insulating handle...

    Text Solution

    |

  2. A uniform disc of radius R is charged with a uniform surface charge de...

    Text Solution

    |

  3. A dielectric cylinder of radius a is infinitely long. It is non-unifor...

    Text Solution

    |

  4. In figure-, an electric dipole is placed at a distance x from an infin...

    Text Solution

    |

  5. Two point dipoles phat(k) and (P)/(2) hat(k) are located at (0, 0, 0)...

    Text Solution

    |

  6. Find the magnitude of the electric field at the point P in the configu...

    Text Solution

    |

  7. The graph in figure-shows the potential energy of an electric dipole t...

    Text Solution

    |

  8. An electric dipole with dipole moment P oriented in the positive direc...

    Text Solution

    |

  9. An electric dipole is placed at a distance x from centre O on the axis...

    Text Solution

    |

  10. A dipole with an electric moment p is located at a distance r from a a...

    Text Solution

    |

  11. Two short electric dipoles are placed as shown in figure. Find the pot...

    Text Solution

    |

  12. In the figure shown S is a large nonconducting sheet of uniform charge...

    Text Solution

    |

  13. Point charges q and -q located at the vertices of a square with diagon...

    Text Solution

    |

  14. Two point charges q and -q are separated by a distance 2l. Find the fl...

    Text Solution

    |

  15. A charge q0 is distributed uniformly on a ring of radius R. A sphere o...

    Text Solution

    |

  16. An electric field given by vec(E)=4hat(i)+3(y^(2)+2) hat(j) pierces a ...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the electric flux through a cubical surface due to a point charge...

    Text Solution

    |

  19. A cube has sides of length L=0.2 m It is placed with one corner at the...

    Text Solution

    |

  20. For a spherically symmetrical charge distribution electric field at a ...

    Text Solution

    |