Home
Class 12
PHYSICS
Two large parallel conducting sheets (pl...

Two large parallel conducting sheets (placed at finite distance) are given charges Q and 2Q respectively. Find out charges appearing on all the surfaces.

Text Solution

Verified by Experts


Let there is x amount of charge on left side of first plate. So, on its right side charge will be `Q-x`. Similarly, for second plate there is y charge on left side and 2Q-y charge is on right side,
`E_(p)=0` (By property of conductor)
`implies x/(2Aepsi_(0))-{(Q-x)/(2Aepsi_(0))+y/(2 A epsi_(0))+(2Q-y)/(2 Aepsi_(0))}=0`
We can also say that charge on left side of P = charge on right side of P

`x=Q-x+y+2Q-y" "implies" "x=(3Q)/2, Q-x= (-Q)/2`
similarly, for point `Q : x+Q-x+y=2Q-y`
`implies y=Q//2, 2Q-y=3Q//2`
So, final charge distribution of plates is
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE ENGLISH|Exercise Problems|22 Videos
  • ELECTROSTATICS

    RESONANCE ENGLISH|Exercise Exercise-1 Section (A)|9 Videos
  • ELECTROMAGNETIC INDUCTION

    RESONANCE ENGLISH|Exercise A.l.P|19 Videos
  • EXPERIMENTAL PHYSICS

    RESONANCE ENGLISH|Exercise PART -II|10 Videos

Similar Questions

Explore conceptually related problems

Three large conducting sheets placed parallel to each other at a finite distance contain charges Q,-2Q, and 3Q , respectively. Find the electric fields at points A, B, C, and D.

Figure shows three large metallic plates with chrges -Q, 3Q and Q respectively. Determine the final charges on all the surfaces.

Figure shows three metallic plates with charges Q, 4Q, and -Q, respectively. Determine the final charges on all the surfaces.

Two concentric conducting shells of radii R and 2R are having charges Q and -2Q respectively.In a region r

Two large conducting plates of a parallel plate capacitor are given charges Q and 3Q respectively. If the electric field in the region between the plates is E_0 , then the force of interaction between the plates is

Two concentric conducting spheres of radii R and 2R are crrying charges Q and -2Q , respectively. If the charge on inner sphere is doubled, the potetial differece between the two spheres will

Two concentric spherical conducting shells of radii R and 2R are carrying charges q and 2q, respectively. Both are now connected by a conducting wire. Find the change in electric potential (inV) on the outer shell.

A positive charge q is placed in front of conducting solid cube at a distance d from its centre. Find the electric field at the centre of the cube due to the charges appearing on its surface.

Two parallel conducting plates of a capacitor of capacitance C containing charges Q and -2Q at a distance d apart. Find out potential difference between the plates of capacitors.

Three identical metallic plates are kept parallel to one another at separations a & b as shown in figure. The outer plates are connected by a thin conducting wire and a charge Q is placed on the central plate. Find the charge on all the six sufaces.

RESONANCE ENGLISH-ELECTROSTATICS-HLP
  1. Two large parallel conducting sheets (placed at finite distance) are g...

    Text Solution

    |

  2. An electrometer consister of a fixed vertical metal bar OB at the top ...

    Text Solution

    |

  3. A uniform rod AB of mass m and length l is hinged at its mid point C. ...

    Text Solution

    |

  4. Three equal charge q(0) each are placed at three corners of an equilat...

    Text Solution

    |

  5. A solid of radius 'R' is uniformly charged with charge density rho in ...

    Text Solution

    |

  6. A uniform surface charge of density sigma is given to a quarter of a d...

    Text Solution

    |

  7. Figure shows a rod of length L which is uniformly charged with linear ...

    Text Solution

    |

  8. A charged ball of mass 5.88xx10^(-4) kg is suspended from two silk str...

    Text Solution

    |

  9. A charge of 16xx10^(-9) C is fixed at the origin of coordinates. A sec...

    Text Solution

    |

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

    Text Solution

    |

  11. A ball of mass 10^(-2) kg and having charge + 3 xx 10^(-6)C is tied at...

    Text Solution

    |

  12. A system consists of a thin charged wire ring of radius r and a very l...

    Text Solution

    |

  13. A thin nonconducting ring of radius R has a linear charge density ...

    Text Solution

    |

  14. Two point charges q and -q are separated by a distance 2a. Evaluate th...

    Text Solution

    |

  15. A system consits of a uniformly charged sphere of radius R and a surro...

    Text Solution

    |

  16. Find the electric field potential and strength at the center of a hem...

    Text Solution

    |

  17. A nonconducting disk of radius a and uniform positive surface charge d...

    Text Solution

    |

  18. The potential difference between two large parallel plates is varied a...

    Text Solution

    |

  19. Four point charges +8muC-1muC,-1muC and +8muC are fixed at the points ...

    Text Solution

    |

  20. A small ball of mass 2 xx 10^-3 kg, having a charge 1 mu C, is suspend...

    Text Solution

    |

  21. Three point charges q, 2q and 8q are to be placed on a . 9cm long st...

    Text Solution

    |