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Question

Capacitors are charged and connected as shown in figure. If switch is closed at t=0, find work done by battery.


A
220 nJ
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B
110 nJ
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C
55 nJ
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D
200 nJ
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Solution

The correct option is A 220 nJ
(Let X charge be shifted by the cell in the circuit)
Using KVL across entire circuit,
10(12+X6)+(9X3)=0
102X6+3X3=0
X6X3+11=0
X6+X3=11
3X6=11
X=22 nC
W=q.=22×10
=220 nJ

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