1.

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

Answer»

`(CE^(2))/(105)`
`(2CE^(2))/(105)`
`(CE^(2))/(5)`
`(CE^(2))/(35)`

Solution :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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