Home
Class 12
PHYSICS
Three concentric conducting spherical sh...

Three concentric conducting spherical shells have radii r, 2r, and 3r and charges `q_1,q_2 and q_3`, respectively. Innermost and outermost shells are earthed as shown in figure. The charges shown are after earthing. Select the correct alternative.

A

`q_1+q_3 = -q_2`

B

`q_1 = - q_2`

C

`q_3/q_2 = -1/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

Potential of outer sphere
`V=(kq_(1))/(3r)+(kq_(2))/(3r)+(kq_(1))/(3r)=0`
or `q_(1)+q_(3)=-q_(2)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS|Exercise Multiple Correct Answer type|109 Videos
  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS|Exercise Assertion and Reason Type|8 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    CENGAGE PHYSICS|Exercise Question Bank|4 Videos
  • MISCELLANEOUS VOLUME 5

    CENGAGE PHYSICS|Exercise Integer|12 Videos

Similar Questions

Explore conceptually related problems

Three concentric conducting spherical shells of radii R, 2R and 3R carry charges Q, - 2Q and 3Q , respectively. a. Find the electric potential at r=R and r=3R where r is the radial distance from the centre. ltbr. b. Compute the electric field at r=5/2R c. compute the total electrostatic energy stored in the system. The inner shell is now connected to the external one by a conducting wire, passing through a very small hole in the middle shell. ltbr. Compute the charges on the spheres of radii R and 3R . e. Compute the electric field at r=5/2R .

Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q_1 , Q_2 , Q_3 , respectively. It is found that the surface charge denisties on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q_1:Q_2:Q_3 , is

Two conducting hollow spherical shells of radius R and 2R carry charges -Q and 3Q respectively. How much charge will flow into the earth if inner shell is grounded?

Three concentric metallic spherical shells of radii R, 2R, 3R are given charges Q_(1) Q_(2) Q_(3) , respectively. It is found that the surface charge densities on the outer surface of the shells are equal. Then, the ratio of the charges given to the shells Q_(1) : Q_(2) : Q_(3) is

Two isolated concentric conducting spherical shells have radii R and 2R and uniform charges q and 2q respectively.If V_(1) and V_(2) are potentials at points located at distances 3R and (R)/(2) respectively from the centre of shells.Then the ratio of ((V_(2))/(V_(1))) will be

Figure shows three concentric thin spherical shells A, B and C of radii a, b and c respectively. The shells A and C are given charges q and -q respectively and the shell B is earthed. Find the charges appearing on the surfaces of B and C.

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.

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: