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A conducting sphere of radius R, carrying charge Q, lies inside an uncharged conducting shell of radius 2R. If they are joined by a metal wire, (a) Q/3 amount of charge will flow from the sphere to the shell (b) 2Q/3 amount of charge will flow from the sphere to the shell (c) Q amount of charge will flow from the sphere to the shell (d) k Q2/4R amount of heat will be produced |
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Answer» Correct Answer is: (c, d) The capacitances of the two are C1 = 4πε0R and C2 = 4πε0(2R). The initial energy, Ei = Q2/2C1. The final energy, Ef = Q2/2C2. The heat produced = Ei - Ef = [(1/4πε0R) - (1/2 x πε0R)] = k Q2/2R [1 - 1/2] = KQ2/4R. |
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