The ball 1 can be charged to a certain charge Q by a generator. After that, through contact with the ball 2, the first ball can transfer to second ball part of its charge. After the first contact, the ball 2 has a charge q. Before the contact, the ball 2 was neutral. What charge the ball 2 can acquire repeating the process repeatedly.
Q = Q'+q --> Conservation of Charges
Q = C.V ---> Capacitor charge
C = r/K ----> Capacitance of a sphere
The Attempt at a Solution
Well, first, I tried to use the conservation of charges equation several times replacing Q' (charge of the sphere that will be recharged) by C.V, where C is the capacitance and V the potential. After that, I didn't find a way to find the answer of the problem. Could anyone help me? Please give me your complete explanation or solution.
PS: The answer of the problem is qQ/(Q-q)
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