Home
Class 12
PHYSICS
A thin conducting spherical shell of rad...

A thin conducting spherical shell of radius R has charge Q spread uniformly over its surface. Using Gauss's law, derive an expression for an electric field at a point outside the shell.
Draw a graph of electric `E(r)` with distance r from the centre of the shell for

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A
For uniformly charge spherical shell
`E=0, r lt R =Q/(4 pi e_0 r^2), r ge R`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|89 Videos

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|60 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATIVE CURRENT

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos

  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE) - TRUE/FALSE TYPE|1 Videos

Similar Questions

Explore conceptually related problems

A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range 0lerltoo , where r is the distance from the centre of the shell?

A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range 0lerltoo , where r is the distance from the centre of the shell?

A spherical shell of radius R has a uniformly distributed charge ,then electric field varies as

Consider a thin spherical shell of radius R consisting of uniform surface charge density sigma . The electric field at a point of distance x from its centre and outside the shell is

A metallic spherical shell of radius R has a charge -Q on it. A point charge +Q is placed at the centre of the shell. Which of the graphs shown below may correctly represent the variation of electric field E with distance r from the centre of shell ?

Conisder a thin spherical shell of radius R with centre at the origin, carrying uniform poistive surface charge denisty. The variation of the magnitude of the electric field |vecE(r)| and the electric potential V(r) with the distance r from the centre, is best represented by which graph?

A conducting shell of radius R carries charge–Q. A point charge +Q is placed at the centre of shell. The electric field E varies with distance r (from the centre of the shell) as :

State Gauss's law in electrostatics. Using this law derive an expression for the electric field due to a uniformly charged infinite plane sheet.

Using Gauss' law deduce the expression for the electric field due to a uniformly charged sperical conducting shell of radius R at a point (i) outside and (ii) inside the shell. Plot a graph showing variation of electric field as a function of r gt R and r lt R . (r being the distance from the centre of the shell)

VMC MODULES ENGLISH-ELECTROSTATICS-JEE MAIN
  1. Charges are placed on the vertices of a square as shown. Let E r be th...

    Text Solution

    |

  2. An electric charge 10^(-3) muC is placed at the origin (0, 0) of xy-co...

    Text Solution

    |

  3. A thin conducting spherical shell of radius R has charge Q spread unif...

    Text Solution

    |

  4. This question contains statements-1 and Statement-2. Of the four choic...

    Text Solution

    |

  5. Let P(r) = (Q)/(pi R^(4)) r be the charge desntiy distribution for a s...

    Text Solution

    |

  6. Two points P and Q are maintained at the potentials of 10V and -4V res...

    Text Solution

    |

  7. A charge Q is placed at each of the opposite corners of a square. A ch...

    Text Solution

    |

  8. A thin semi-circular ring of radius r has a positive charge q distribu...

    Text Solution

    |

  9. Let there be a spherically symmetric charge distribution with charge d...

    Text Solution

    |

  10. Two positive charges of magnitude q are placed at the ends of a side (...

    Text Solution

    |

  11. The potential in the electric field varies as V = -a x^2 + b with resp...

    Text Solution

    |

  12. Two identical charged spheres suspended from a common point by two mas...

    Text Solution

    |

  13. In a uniformly charged sphere of total charge Q and radius R, the elec...

    Text Solution

    |

  14. An insulating solid sphere of radius R has a uniformly positive charge...

    Text Solution

    |

  15. A charge Q is uniformly distributed over a long rod AB of length L as ...

    Text Solution

    |

  16. Two charges, each equal to q, are kept at x = −a and x = a on the x-ax...

    Text Solution

    |

  17. Assume that an electric fieldvecE = 30 x^(2)hati exists in space. Then...

    Text Solution

    |

  18. A long cylindrical shell carries positive surface charge sigma in the ...

    Text Solution

    |

  19. A uniformly charged solid sphere of radius R has potential V(0) (meas...

    Text Solution

    |

  20. The region between two concentric spheres of radii a and b (gt a) cont...

    Text Solution

    |