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Four capacitors of capacitance C, 2C, 3C...

Four capacitors of capacitance `C`, `2C`, `3C` & `4C` respectively are connected as shown in figure. Battery is deal and all the connected wires have no resistance capcitance or inductance. Initially the switch `S` is open. If at `t=0` switch `S` is closed
Heat generated is the switch after closing switch is

A

`(CE^(2))/(105)`

B

`(2CE^(2))/(105)`

C

`(CE^(2))/(5)`

D

`(CE^(2))/(35)`

Text Solution

Verified by Experts

Initial and final charges on capacitors are shown in figure (`a`) and (`b`) respectively charge flown through `AB` is `(CE)/(5)` work done by battery
`=W_(b)=(Q_(take)-Q_(take))E`
Heat produced `=W_(b)-DeltaU=(CE^(2))/(105)J`
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