Two insulated charged copper spheres A and B of identical size have charges qa and qb. A third sphere C of the same size but uncharged is brought in contact with first and then with second and finally removed from both. What are the new charges on A and B ?
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a third body which is uncharged contact with body A then both distribute net charge equally .
e.g. Qnet=(0+qa)
because they equally distribute so, both have finally qa/2 charge available.
now third body contact with body B
then Qnet=(qa/2+qb)
now both distribute charge equally
hence,
each has (qa/2+qb)/2
hence finally charge in body A=qa/2
charge in body B=(qa/2+qb)/2=qa/4+qb/2
e.g. Qnet=(0+qa)
because they equally distribute so, both have finally qa/2 charge available.
now third body contact with body B
then Qnet=(qa/2+qb)
now both distribute charge equally
hence,
each has (qa/2+qb)/2
hence finally charge in body A=qa/2
charge in body B=(qa/2+qb)/2=qa/4+qb/2
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