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An isolated coductor, initially free fro...

An isolated coductor, initially free from charge, is charge by repeated conacts with a plate, which afrer each contact has a charge Q due to some mechanism.If q is the charge on the conductor after the first operation, prove that the maximum charge that can be give to the conductor in this way is `Qq//Q-q`.

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To solve the problem step by step, we will analyze the charging process of an isolated conductor through repeated contacts with a charged plate. ### Step 1: Initial Conditions An isolated conductor is initially free from charge, meaning its initial charge \( Q_0 = 0 \). ### Step 2: First Contact When the conductor makes contact with the plate that has a charge \( Q \), it acquires a charge \( q \). After the first operation, the charge on the conductor is \( q \). ...
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