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
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CHARGES AND FIELDS

    AAKASH SERIES|Exercise Exercise-II|56 Videos

  • ELECTRIC CHARGES AND FIELDS

    AAKASH SERIES|Exercise Practice Exercise|57 Videos

  • ELECTRIC CHARGES AND FIELDS

    AAKASH SERIES|Exercise Assess Your Self|13 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    AAKASH SERIES|Exercise PRACTICE EXERCISEX|42 Videos

  • ELECTRIC FIELD AND POTENTIAL

    AAKASH SERIES|Exercise PROBLEMS (LEVEL-II)|26 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)

AAKASH SERIES-ELECTRIC CHARGES AND FIELDS-Exercise-I
  1. Find the total flux due to charge q associated with the given hemisphe...

    Text Solution

    |

  2. A: A metallic shield in the form of a hollow shell may be built to blo...

    Text Solution

    |

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

    Text Solution

    |

  4. An electric dipole placed in a uniform electric field experiences, in ...

    Text Solution

    |

  5. The value of electric potential at any point due to any electric dipol...

    Text Solution

    |

  6. An electric dipole is plced at an angle of 30^(@) to a nonuniform elec...

    Text Solution

    |

  7. What is the angle between the electric dipole moment and the electric ...

    Text Solution

    |

  8. An electric dipole is kept in non-uniform electric field. It experienc...

    Text Solution

    |

  9. Match List-I with List-II

    Text Solution

    |

  10. (A): Coulomb force between charges is central force (R ): Coulomb fo...

    Text Solution

    |

  11. (A): Two particles of same charge projected with different velocity no...

    Text Solution

    |

  12. Assertion The coulomb force is the dominating force in the universe. ...

    Text Solution

    |

  13. (A): Electric and gravitational fields are acting along same line. Whe...

    Text Solution

    |

  14. Assertion : If there exists coulomb attraction between two bodies, bot...

    Text Solution

    |

  15. (A) : No two electric lines of force can intersect each other (R ): ...

    Text Solution

    |

  16. (A ): Magnitude of electric force acting on a proton and an electron, ...

    Text Solution

    |

  17. (A ): Sharper is the curvature of spot on a charged body lesser will b...

    Text Solution

    |

  18. (A ): The surface densities of two spherical conductors of different r...

    Text Solution

    |

  19. (A ): A charged particle free to move in an electric field always move...

    Text Solution

    |

  20. (A ): Mass of a body decreases slightly when it negatively charged. ...

    Text Solution

    |