Figure show three concentric thin spherical shell A, B and C of radii a, b and c respectively. The shell A and C are given charges q and –q respectively and the shell B is earthed. Find the charges appearing on the outer surfaces of B and C.
Text Solution
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Sol .
Firstly we will give number to each surface of shell and number 4 to infinity.
Potential of 2 2', and 4 is zero potential of 3 3' is same so equivalent circuit by grouping all the points of same potential.
Shell A is given charge q it mean q is given to point 1
C 12 = 
= C 3'4 = 4πε 0 c
C 32' = 
C 32' = and C 3'4 are in parallel
∴ 
= 
= 
(c – b), 
= 
q 1 = 
× (–q) = 
(–q)
Charge on outer surface of C is – q 1 = 
q
q 2 = 
(–q)
⇒ Charge on outer surface of b = –q 2
= 
q
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