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If the two spheres are then connected by a conducting wire what will be the final charges on the spheres?

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Sounds like this is part of another question.
If the charges on both are of the same sign but different charge magnitude then each will become
(a + b)/2

If the charges are different in sign and of different magnitudes then
| a - b| / 2 is the charge on both.

If the charges are = but of different sign, then each sphere will have a magnitude of 0.
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User Simon Frey
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