Home
Class 12
PHYSICS
A uniform surface charge of density sigm...

A uniform surface charge of density `sigma` is given to a quarter of a disc extending upto infinity in the first quadrant of x-y plane. The centre of the disc is at the origin O. Find the z-component of the electric field at the point `(0, 0, z)` and the potential difference between the points `(0, 0, d)` & `(0, 0, 2d)`.

Text Solution

Verified by Experts

The correct Answer is:
`sigma/(8 in_(0)), sigma/(8 in_(0)) |d|`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE ENGLISH|Exercise Part - II|23 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

A uniform surface charge of density sigma is given to a quarter of a disc extending up to infinity in the first quadrant of x-y plane. The centre of the disc is at the origin O . Find the z-component of the electric field at the point (0,0,z) and the potential difference between the point (0,0,d) and (0,0,2d)

A uniform electric field exists in x y plane as shown in Fig. 3.45. Find the potential difference. Between origin O and A(d,d,0) . .

A circle having its centre in the first quadrant touches the y-axis at the point (0,2) and passes through the point (1,0). Find the equation of the circle

Electric field in a region is given by E=(2hati+3hatj-4hatk)V//m . Find the potential difference between points (0, 0, 0) and (1,2,3) in this region.

The quarter disc of radius R (see figure) has a uniform surface charge density sigma . (a) Find electric potential at a point (O,O,Z) (b). Find the Z component of electrif field at (O,O,Z)

A circular ring of radius R and uniform linear charge density +lamdaC//m are kept in x - y plane with its centre at the origin. The electric field at a point (0,0,R/sqrt(2)) is

The electric potential at any point x,y and z in metres is given by V = 3x^(2) . The electric field at a point (2,0,1) is

In a uniform electric field, the potential is 10V at the origin of coordinates , and 8 V at each of the points (1, 0, 0), (0, 1, 0) and (0, 0, 1). The potential at the point (1, 1,1 ) will be .

Find the foot of perpendicular drawn from the point P(0, 0, 0) to the plane x + 2y + 2z =13.

The surface charge density of a thin charged disc of radius R is sigma . The value of the electric field at the centre of the disc (sigma)/(2 in_(0)) . With respect to the field at the centre, the electric field along the axis at a distance R from the centre of the disc is

RESONANCE ENGLISH-ELECTROSTATICS-HLP
  1. Three equal charge q(0) each are placed at three corners of an equilat...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. A particle of charge -q and mass m moves in a circular orbit about a f...

    Text Solution

    |

  20. The field potentail in a certain region of space depends only on the...

    Text Solution

    |