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.
Doubtnut Promotions Banner Mobile Dark
|

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 inner radius r_(1) and outer radius r_(2) has a charge Q: (a) 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? (b) Is the electric field inside a cavity (with no charge) zero even if the shell is not spherical, but has any irregular shape? Explain.

Knowledge Check

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

    A
    `kq_(0)//r^(2)`
    B
    `kq_(0)//r^(3)`
    C
    zero
    D
    uniform but non zero

    • 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 centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell ?

    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. Find out the surface charge density on the inner and outer surface of the shell. Is the electric field inside a cavity (with no charge ) zero. Independent of the fact wheather the shell is spherical or not ? Explain.

    A spherical conducting shell of inner radius r_1 and outer radius r_2 has a charges 'Q' A charges 'q' is placed at the centre of the shell. What is the surface charges density on the (i) inner surface (ii) outer surface of the shell? (b) A spherical conducting shell of inner radius r_1 and outer radius r_2 has a charges 'Q' A charges 'q' is placed at the centre of the shell. Write the expression for the electric field at a point x gt r_2 from the centre of the shell.

    A spherical conducting shell of inner radius r_1 and outer radius r_2 ahs a charges 'Q' A charges 'q' is placed at the centre of the shell. (a) What is the surface charges density on the (i) inner surface (ii) outer surface of the shell? (ii) Write the expression for the electric field at a point x gt r_2 from the centre of the shell.

    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

    A metalic spherical shell has an inner radius R_1 and outer radius R_2 . A charge Q is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface and (ii) the outer surface?

    Home
    Profile