A conducting sphere S1 of radius r is attached to an insulating handle. Another conduction sphere S2 of radius R is mounted on an insulating stand. S2 is initially uncharged. S1 is given a charge Q brought into contact with S2 and removed. S1 is recharge such that the charge on it is again Q and it is again brought into contact with S2 and removed. This procedure is repeated n times. a. Find the electrostatic energy of S2 after n such contacts with S1. b. What is the limiting value of this energy as n→∞ ?
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