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When third sphere of some size but uncha...

When third sphere of some size but uncharged is brought in contact with first and then second and finally removed ? What are the new charges.

Text Solution

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New charge on A is `(q_(A))/(2)`
New, charge on B is `(q_(A)+(2q_(B)))/(Delta)`
`:. ((q_(A))/(2)+q_(B))/(2)=(q_(A))/(4)+(q_(B))/(2)=(q_(A)+2q_(B))/(4)`
`q_(B)=-3q_(A)`
`:. q_(B)=-3q_(A)`
`:.` New charge on `B_(1)` is `(q_(A)-6q_(A))/(4)`
New charge on `B=(-5)/(4)q_(A)`
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