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Q.

A circuit is connected as shown in the figure with the switch S open. When the switch is closed, the total amount of charge that flows from Y to X is
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a

0

b

54μC

c

27μC

d

81μC

answer is C.

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Detailed Solution

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Initial charge on capacitor 
 q=CeffV
 q=3×63+6×9=18μC
When switch S is closed
At steady state  i=VReff=99=1A
3Ω Resistor &  3μF capacitor are in parallel similarly  6Ω &  6μF are in parallel
 V(3Ω)=V(3μF)                  V(6Ω)=V(6μF)   
1×3=V(3μF)                   1×6=V(6μF)    
Final charges on capacitor
q(3μF)=3×3=9μC                q(6μF)=6×6=36μC

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