two points charges having a total charge Ware distance x
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From the Coulomb's Law, k and rare constant in this problem. That leaves us to the product q1 q2 which has to be maximum.
Since q1 q2 = Q = const, q2 Q-q1.
Qq1) max. So q1(
Let the derivative equal to zero and find the solution for q1. It is easy to probe, for this case, that the critical point is the maximum for this function.
The answer is q1 =q2 = Q/2.
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