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
Text Solution
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CHECK THE SOLUTION.
(– 
)
Let q 1 and q 2 are charges on A and B respectively
From given conditions: Charge on A & C after connection with wire are q 1 and Q – q 1 on B, charge is q 2
V A = V C and V B = 0
⇒ V B = 
+ 
= 0
⇒ 2Q + q 1 + 3q 2 = 0 .... (1)
Using V C = V A
+ 
= 
⇒ q 1 = – 
.... (2)
Using it in (1), q 2 = – 
Q
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