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The connnections shown in figure are es...

The connnections shown in figure are established with the switch S open. How much charge will flow through the switch if it is closed?

Text Solution

Verified by Experts

The correct Answer is:
`12muC`
Initial distribution of charge
`C_(eq) = (2)/(3) +(2)/(3) = (4)/(3) muF`
`q = (4)/(3) muF xx 24V`

`q = 32muF`
Final distrubution of charge
Now `C_(eq) = (3)/(2)muF`
`q' = (3)/(2)muF xx 24V = 36muC`
since `1muF||2muF` so charge

distribute in the ratio of capacity
`q_(1muF) = (1)/(3) xx 36muC = 12muC`
`q_(2muF) = (2)/(3) xx 36muC = 24muC`,
charge flow through switch `= (q')/(3) = 12muC`
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