Home
Class 12
PHYSICS
A nonconducting sheet of large surface a...

A nonconducting sheet of large surface area and thickness d contains uniform charge distribution of density `rho`. Find the electric field at a point P inside the plate, at a distance x from the central plane.

Text Solution

Verified by Experts

We know `oint E. ds = q/ epsilon_0`
` E. x. d = (rho(x^2) d / epsilon_0), E= (rho x / epsilon_0)` .
Promotional Banner

Topper's Solved these Questions

  • GAUSS LAW

    HC VERMA|Exercise Objective 2|8 Videos

  • ELECTROMAGNETIC WAVES

    HC VERMA|Exercise Exercise|9 Videos

  • GEOMETRICAL OPTICS

    HC VERMA|Exercise Exercises|79 Videos

Similar Questions

Explore conceptually related problems

A ring of radius a contains a charge q distributed. uniformly ober its length. Find the electric field at a point. on the axis of the ring at a distance x from the centre.

A long cylindrical volume contains a uniformly distributed charge of density rho . Find the electric field at a point P inside the cylindrical volume at a distance x from its axis (figure 30-E5) ,

A spherical volume contains a uniformaly distributed charge of density 2.0 xx 10^(-4) C /m^(3) . Find the electric field at a piont inside the volume at a distance 4.0 cm from the centre.

The energy density in the electric field created by a point charge falls off with the distance from the point charge as

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.

A long wire carrying a current i is bent to form a plane angle alpha . Find the magnetic field B at a point on the bisector of this angle situated at a distance x from the vertex.

Consider a circular ring of radius r, uniformly charged with linear charge density lambda . Find the electric potential aty a point on the exis at a distance x from the centre of the ring. Using this expression for the potential, find the electric field at this point.

Figure shows a cross section of a large metal. Sheet carrying an electric current along its surface. The current in a strip of width dl is Kdl where K is a constant. Find the magnetic field at a point P at a distance x from the metal sheet.

Show graphically the variation of electric field E (y-axis) due to a charged infinite plane sheet with distance r (x-axis) from the plate.

HC VERMA-GAUSS LAW-Exercises
  1. A charge Q is placed at the centre of a cube. Find the flux of the ele...

    Text Solution

    |

  2. A charge Q is placed at a distance a/2 above the centre of a horizonta...

    Text Solution

    |

  3. Find the fluz f the electric field through a spherical surface of radi...

    Text Solution

    |

  4. A charge Q is placed at the centre of an imaginary hemispherical surfa...

    Text Solution

    |

  5. A spherical volume contains a uniformaly distributed charge of densit...

    Text Solution

    |

  6. The radius of a gold nucleus (Z=79) is about 7.0*10^(-10) m. Assume th...

    Text Solution

    |

  7. A Charge Q is distributed uniformly within the material of a hollow sp...

    Text Solution

    |

  8. A charge Q is placed at the centre of an uncharged, hollow metallic sp...

    Text Solution

    |

  9. Consider the following very rough model of a beryllium atom. The nucle...

    Text Solution

    |

  10. Find the magnitude of the electric field at a point 4 cm away from a l...

    Text Solution

    |

  11. A long cylindrical wire carries a positive charge of linear density 2....

    Text Solution

    |

  12. A long cylindrical volume contains a uniformly distributed charge of d...

    Text Solution

    |

  13. A nonconducting sheet of large surface area and thickness d contains u...

    Text Solution

    |

  14. A charged partical having a charge of -2.0 xx 10^(-6) C is placed cl...

    Text Solution

    |

  15. One end of a 10 cm long silk thread is fixed to a large vertical surfa...

    Text Solution

    |

  16. One end of a 10 cm long silk thread is fixed to a large vertical surfa...

    Text Solution

    |

  17. Two large conducting plates are placed parallel to each other with a ...

    Text Solution

    |

  18. Two large conducting plates are placed parallel to each other and they...

    Text Solution

    |

  19. Two large conducting plates X and Y. each having large surface area A...

    Text Solution

    |

  20. Three identical metal plates with large surface areas are kept paralle...

    Text Solution

    |