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A conducting sphere of radius R, and carrying a charge Q, is joined to an uncharged conducting sphere of radius 2R. The charge flowing between them will be (a) Q/4 (b) Q/3 (c) Q/2 (d) 2Q/3

Answer»

Correct Answer is: (d) 2Q/3

The capacitances are C1 = 4πε0R and C2 = 4πε0(2R) = 2C1.

The common potential = V = Q/ C1 + C2.

The charge flowing = charge on C2

= C2 V = Q C2/C1 + C2 = Q 2C1/ C1 + 2C1 = 2/3 Q.



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