Home
Class 12
PHYSICS
Figure shows three concentric conducting...

Figure shows three concentric conducting spherical shells with inner and outer shells earthed and the middle shell is given a charge `q`. Find the charge distribution of sphere

Text Solution

Verified by Experts

The correct Answer is:
`q_(1) =- (4q)/(25)` and `q_(2) = (21q)/(25)`
Let potential of shells are `V_(1),V_(2)` and `V_(3)` and charge on them are `q_(1),q_(2),q_(3)`
`V_(1) = (Kq_(1))/(r ) +(Kq)/(2.5r) +(Kq_(3))/(3.5r) = 0`
`q_(1) +(2)/(5)q +(2)/(7) q_(3) = 0 …(1)`
`V_(3) = (kq_(1))/(3.5r) +(kq)/(3.5r) +(kq_(3))/(3.5r) =0`
`q_(1) +q +q_(3) = 0`
from `(1)` and `(2)`
`q_(1) =- (4)/(25)q`, and `q_(3) = (21q)/(25)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Figure - shows two conducting thin concentric shells of radii r and 3r The outer shell carries charge q where as inner shell is uncharged. Find the charge that will flow from inner shell to earth after the switch S is closed. [+q/3 charge will flow inner shell to earth]

There are three conducting and concentricspherical shells of radii R,2R and 3R. The charge on inner and outer most shells are q and 3q while middle shell is earthed. Find the ratio of number of field lines emitted by outermost shell and inner shell.

There are two concentric conducting spherical shells of radius r_A and r_B respectively (r_B= 2r_A) . If the inner shell is given a charge Q and outer shell is given a charge 2Q, then the potential difference between the surfaces of the shells will be K=1/(4piepsilon_0)

Assume three concentric conducting spheres where charge q_(1) and q_(2) have been placed on inner and outer sphere where as middle sphere has been earthed .Find the charge on the outer surface of middle spherical conductor

There are two concentric conducting spherical shells of radii 10 cm and 20 cm. The outer shell is charged to a potential of 50esu while inner shell is earthed. The charge on outer shell is

Figure shows two conducting thin concentric shells of radi r and 3r . The outer shell carries a charge q. Inner shell in neutral. Find the charge that wilL flow from inner shell to earth the switch S is closed.

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.

Figure shows a system of three concentric metal shells, A, B and C with radii a, 2a and 3a respectively. Shell B is earthed and shell C is given a charge Q. Now if shell C is connected to shell A, then find the final charge on the shell B

Three concentric conducting spherical shells carry charges as : +4Q on the inner shell, -2Q on the middle shell and -5Q on the outer shell. The charge on the inner surface of the outer shell is