Home
Class 12
PHYSICS
A spherical conducting shell of inner ra...

A spherical conducting shell of inner radius `r_1` and outer radius `r_2` has a charge Q.
Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape ? Explain.

Text Solution

Verified by Experts

Electric field inside a cavity (with no charge) is always zero whether the shell is spherical or of any other shape. It is in accordance with Gauss.s theorem in electrostatics. As charge enclosed by the cavity is zero, hence total electric flux and consequently, the electric field intensity inside a cavity must be zero.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise CASE BASED/SOURCE-BASED INTEGRATED QUESTIONS|18 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise MULTIPLE CHOICE QUESTIONS|35 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise SELF ASSESSMENT TEST|1 Videos

  • ELECTROMAGNETICE INDUCTION

    U-LIKE SERIES|Exercise Self Assessment Test Section -D|1 Videos

  • EXAMINATION PAPER 2020 (SOLVED)

    U-LIKE SERIES|Exercise SECTION D|6 Videos

Similar Questions

Explore conceptually related problems

A spherical conducting shell of inner radius r_(1) and outer radius r_(2) has a charge Q. (a) A charge q is placed at the center of the shell. What is the surface charge density on the inner and outer surfaces of the shell ? (b) Is the electric field intensity inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape ? Explain.

A spherical conducting shell of radius r_(0) carry a charge q_(0) . Then value of electric field inside it is :-

A spherical conducting shell of inner radius R_(1) and outer radius R_(2) has charge Q. Now a charge q is placed inside the shell but not at centre then surface charge densities with their nature on inner and outer surfaces of shell are respectively.

A metallic spherical shell has an inner radius R_(1) and outer radius R_(2) . A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is

U-LIKE SERIES-ELECTROSTATIC POTENTIAL AND CAPACITANCE -ADDITIONAL EXERCISES
  1. Two tiny spheres carrying charges 1.5 muC and 2.5 muC are located 30 c...

    Text Solution

    |

  2. A spherical conducting shell of inner radius r1 and outer radius r2 ha...

    Text Solution

    |

  3. A spherical conducting shell of inner radius r1 and outer radius r2 ha...

    Text Solution

    |

  4. Show that the normal component of electrostatic field has a discontinu...

    Text Solution

    |

  5. Show that the tangential component of electrostatic field is continuou...

    Text Solution

    |

  6. A long charged cylinder of linear charged density à is surrounded by a...

    Text Solution

    |

  7. In a hydrogen atom, the electron and proton are bound at a distance of...

    Text Solution

    |

  8. If one of the two electrons of a H2 molecule is removed, we get a hydr...

    Text Solution

    |

  9. Two charged conducting spheres of radii a and b are connected to each ...

    Text Solution

    |

  10. Two charges - q and +q are located at points (0, 0, - a) and (0,0, a),...

    Text Solution

    |

  11. Two charges - q and +q are located at points (0, 0, - a) and (0,0, a),...

    Text Solution

    |

  12. Two charges - q and +q are located at points (0, 0, - a) and (0,0, a),...

    Text Solution

    |

  13. Figure shows a charge array known as an 'electric quadrupole'. For a p...

    Text Solution

    |

  14. An electrical technician requires a capacitance of 2 uF in a circuit a...

    Text Solution

    |

  15. What is the area of the plates of a 2 F parallel plate capacitor, give...

    Text Solution

    |

  16. Obtain the equivalent capacitance of the network in Fig. For a 300 V s...

    Text Solution

    |

  17. The plates of a parallel plate capacitor have an area of 90 cm^2? each...

    Text Solution

    |

  18. The plates of a parallel plate capacitor have an area of 90 cm^2? each...

    Text Solution

    |

  19. A 4 muF capacitor is charged by a 200 V supply. It is then disconnecte...

    Text Solution

    |

  20. Show that the force on each plate of a parallel plate capacitor has a ...

    Text Solution

    |