Homework Help: Capacitors and charge on them Question

Conducting sphere A and B have different radii. A is charged upto Q and B is uncharged . Two spheres are connected via wire initially open.?

Considering spereration between them large comparision to their size answer the following ..

1.> After the switch is closed for the first time the charge Q/4 flows to the sphere B. after this surface charge density over the sphere A and B will be in ratio. ?

2> The switch is disconnected now and sphere A is again charged to Q . then switch is closed again. if this process is repeated infinity time , what will be the final charge on B?

3.> In the previous process if after nth and (n+1)th time of closing of the switch ,flow of charge from A to B are Delta(Qn) and Delta(Qn+1) then delta(Qn+1)/(delta Qn ) = ?