Home
Class 12
PHYSICS
An ellipsoidal cavity is carved within a...

An ellipsoidal cavity is carved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure. Then

A

electric field near A in the cavity = electric field near B in the cavity

B

charge density at A = charge density at B

C

potential at A = potential at B

D

total electric field flux through the surface of the cavity is `q//epsilon_0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TEXUAL QUESTIONS

    MODERN PUBLICATION|Exercise EXERCISE|195 Videos
  • TEXTUAL QUESTIONS

    MODERN PUBLICATION|Exercise EXERCISE|507 Videos
  • UNIT TEST -06

    MODERN PUBLICATION|Exercise EXERCISE|461 Videos

Similar Questions

Explore conceptually related problems

A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge Q/2 is placed at its centre C and another charge +2Q outside the shell at a distance r from the centre as shown in figure. Find the force on the charge at the centre of shell and at point A.

A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge Q/2 is placed at its centre C and another charge +2Q outside the shell at a distance r from the centre as shown in figure. Find the electric flux through the shell.

A point charge +q is placed at the mid point of a cube of side b. The electric flux emerging from the cube is:

A non-spherical hollow conductor is given a charge Q. What is the electric field in the cavity?

Four point charges Q, q, Q and q are placed at the corners of a square of side 'a' as shown in the figure. Find the potential energy of this system?

A positive charge Q is uniformly distributed along a circular ring of radius R. A small test charge q is placed at the centre of the ring.

A spherical conducting shell of inner radius r_1 and outer radius r_2 has a charge Q. A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?

A conductor A with cavity as shown in the figure a charge Q. Show that the entire charge must appear on the outer surface of the conductor.

Which of the following points is the likely position of the centre of mass of the system shown in the figure.

MODERN PUBLICATION-TEXUAL QUESTIONS -EXERCISE
  1. A non-conducting solid sphere of radius R is uniformly charged. The ma...

    Text Solution

    |

  2. Consider the charge configuration and a spherical Gaussian surface as ...

    Text Solution

    |

  3. An ellipsoidal cavity is carved within a perfect conductor. A positive...

    Text Solution

    |

  4. A hollow sphere of charge does not produce an electric field at any

    Text Solution

    |

  5. Which of the following statement (s) is/are correct?

    Text Solution

    |

  6. The electric potential V at any point (x,y,z) all in meters in space i...

    Text Solution

    |

  7. A uniform electric field pointing in positive x-direction exists in a ...

    Text Solution

    |

  8. A hollow metal sphere of radius 5 cm is charged, such that the potent...

    Text Solution

    |

  9. A particle A has chrage +q and a particle B has charge +4q with each o...

    Text Solution

    |

  10. A bal of mass 1 g carrying a chage 10^-8 C moves from a point A at pot...

    Text Solution

    |

  11. A solid conducting sphere having a charge Q is surrounded by an uncha...

    Text Solution

    |

  12. Two equal point charges are fixed at x=-a and x=+a on the x-axis. Anot...

    Text Solution

    |

  13. When the separation between two charges is increased, the electric pot...

    Text Solution

    |

  14. A sheet of aluminium foil of negligible thickness is introduced betwee...

    Text Solution

    |

  15. A and B are two conducting spheres of the same radii. A being solid an...

    Text Solution

    |

  16. wo capacitors of capacitances C(1) and C(2) are connected in parallel ...

    Text Solution

    |

  17. A dielectric slab of thickness d is inserted in a parallel plate capac...

    Text Solution

    |

  18. The magnitude of electric field vecE in the annualr region of a charge...

    Text Solution

    |

  19. A parallel plate capacitor is connected to a battery as shown in Figur...

    Text Solution

    |

  20. A parallel plate air capacitor is connected to a battery. The quantiti...

    Text Solution

    |