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Two identical conducting spheres are charged by induction and then separated by a large distance; sphere...

Two identical conducting spheres are charged by induction and then separated by a large distance; sphere 1 has charge +Q and sphere 2 has charge −Q. A third identical sphere is initially uncharged. If sphere 3 is touched to sphere 1 and separated, then touched to sphere 2 and separated, what is the final charge on each of the three spheres? Give your answer in terms of Q.
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