Home
Class 12
PHYSICS
A uniformly charged thin spherical shell...

A uniformly charged thin spherical shell of radius `R` carries a uniform surface charge density of `sigma` per unit area. It is made of two hemispherical shells, held together by pressing them with a force `F` (see the figure). `F` is proportional to

A

(a) `(1)/(epsilon_0) sigma^2R^2`

B

(b) `(1)/(epsilon_0) sigma^2R`

C

(c) `(1)/(epsilon_0) sigma^2R`

D

(d) `(1)/(epsilon_0)(sigma^2)/(R^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
The electrostatic pressure at a point on the surface of a uniformly charged sphere `=(isgma^2)/(2in_0)`
`:.` The force on a hemispherical shell `=(isgma^2)/(2in_0)xxpiR^2`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise Subjective Problems|2 Videos

  • ELECTROSTATICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise Comprehension Based Questions|2 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|107 Videos

  • MODERN PHYSICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQ (One Correct Answer|1 Videos

Similar Questions

Explore conceptually related problems

A uniformly charged thin spherical shell of radius R carries uniform surface charge density of sigma per unit area.It is made of two hemispherical shells hold together by pressing them with force F.F is equal to qquad F + + +(1)/(+)+

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 uniformly charged thin conducting spherical shell of radius R and charge q is rotated with constant angular velocity omega about a diameter. The magnetic dipole moment of the system is

A thin spherical shell of radius R is cut into two equal halves and then each of its halves is charged to the same uniform surface charge density sigma. If F is the force exerted on each half to keep them at equilibrium, then F is proportional to

A thick conducting spherical shell of inner radius a and outer radius b is shown in figure. It is observed that the inner face of the shell carries a uniform charge density -sigma . The outer surface also carries a uniform surface charge density +sigma . (a) Can you confidently say that there must be a charge inside the shell? Find the net charge present on the shell. (b) Find the potential of the shell.

A thin circular disk of radius R is uniformly charged with density sigma gt 0 per unit area.The disk rotates about its axis with a uniform angular speed omega .The magnetic moment of the disk is :

Two uniformly charged concentric spherical shells of radius R and r, are given charges Q_1 and Q_2 respectively. If their potential difference is V, then it will not depends upon: