Home
Class 11
PHYSICS
Surface charge densities of two thin con...

Surface charge densities of two thin concentric spherical shells are `sigma` and `- sigma` respectively. Their radii are R and 2 R. Now they are connected by a thin wire.

Potential on either of the shells will be

A

`-(3sigmaR)/(2epsilon_(0))`

B

`-(2sigmaR)/(2epsilon_(0))`

C

`-(sigmaR)/(2 epsilon_(0))`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
`Q_(1)=sigmaxx4piR^(2)`
`Q_(2)=-sigmaxx4pi(2R)^(2)=-4Q_(1)`
Potential at outer shell
`=(K[Q_(1)-Q_(2)])/(2R)=(K[Q_(1)-4Q_(1)])/(2R)`
`=(-1xx3xxsigmaxx4piR)/(4pi in_(0)xx2R)=-3/2sigma/in_(0)xxR`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise DATA SUFFICIENCY QUESTIONS|3 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-04 [A]|28 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Comprehension 3|5 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

When two concentric shells are connected by a thin conducting wire, whole of the charge of inner shell transfers to the outer shell and potential difference between them becomes zero. Surface charge densities of two thin concentric spherical shells are sigma and -sigma respectively. Their radii are R and 2R . Now they are connected by a thin wire. Suppose electric field at a distance r (gt 2R) was E_(1) before connecting the two shells and E_(2) after connecting the two shells, then |E_(2)/E_(1)| is :-

Two concentric spherical conducting shells of radii r and R (r lt R ) carry charges q and Q respectively . The two shells are now connected by a conducting wire. The final charge on the inner shell is

Two concentric spherical conducting shells of radii R and 2R are carrying charges q and 2q, respectively. Both are now connected by a conducting wire. Find the change in electric potential (inV) on the outer shell.

Three spherical shells have radii R,2R and 3R respectively. Total charge on A and C is 3q . Find the charges on different surface of A, B and C. The connecting wire does not touch the shell B.

The capacitance of two concentric spherical shells of radii R_(1) and R_(2) (R_(2) gt R_(1)) is

Two concentric spherical shells of radii R and 2R have charges Q and 2Q as shown in figure If we draw a graph between potential V and distance r from the centre, the graph will be like

(Figure 3.78) shows three thin concentric spherical shells A, B and C with initial charges on A , B, and C as 3 Q, 2Q, and -Q, respectively. The shells A amd C are connected by a wire such that it does not touch B. Shell B is earthed. Determine the final charges q_A, q_B, "and" q_C . .

Consider two concentric metalic shell's of radii R and 2R. The inner shell is having charge Q and outer shell is uncharged. If they are connected with a conducting wire. Then,

There are two concentric spherical shell of radii r and 2r . Initially, a charge Q is given to the inner shell and both the switches are open. If switch S_1 is closed and then opened, charge on the outer shell will be

Two concentric shells have masses M and m and their radii are R and r , respectively, where R gt r . What is the gravitational potential at their common centre?