Capacitors and charge on them Question

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SUMMARY

The discussion focuses on the behavior of charge transfer between two conducting spheres, A and B, with different radii. Initially, sphere A is charged to Q while sphere B is uncharged. Upon connecting the spheres, charge Q/4 flows to sphere B, establishing a surface charge density ratio. When sphere A is recharged to Q and the process is repeated indefinitely, the final charge on sphere B converges to a specific value determined by the geometric properties of the spheres and the charge transfer dynamics.

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Dhruv Rawat
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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 ) = ?
 
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