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Calculate amount of charge flow, when a ...

Calculate amount of charge flow, when a conducting sphere of radius R and carrying a charge Q, is joined to an uncharged conducting sphere of radius 2R.

A

`(Q)/(4)`

B

`(Q)/(3)`

C

`(Q)/(2)`

D

`(2Q)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Capacitance of first sphere, `C_(1) = 4piepsilon_(0)R)`
Capacitance of second sphere `C_(2) = 4piepsilon_(0)(2R) = 2C_(1)`
Then, when they are in constant with the common potential between them
`= V = (Q)/(C_(1) + C_(2))`
Charge on `C_(2) = C_(2)V = (QC_(2))/(C_(1) + C_(2)) = (2)/(3)Q`
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