Q.

In the circuit shown, initially there is no charge on capacitors and keys  S1andS2  are open. The values of the capacitors are  C1=10μF,C2=30μFandC3=C4=80μF

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Which of the statement(s) is/are correct?

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a

At time t=0,  the key  S1  is closed, the instantaneous current in the closed circuit will be  25mA.

b

The key  S1  is kept closed for long time such that capacitors are fully charged. Now key  S2 is kept closed, at this time, the instantaneous current across  30Ω  resistor (between points P and Q) will be 0.2A (round off to 1st decimal place).

c

If key S1  is kept closed for long time such that capacitors are fully charged, the voltage across the capacitor  C1 will be 4V.

d

If key  S1 is kept closed for long time such that capacitors are fully charged, the voltage difference between points P and Q will be 10V.

answer is A, B.

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Detailed Solution

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When switch  S1 is closed,  I=5200=25mA
At steady state for  S1 closed is
 Ceq=8μFandQ=40μC           V(C1)=4volt;V(C3)=V(C4)=0.5volt
At steady state potential difference between ‘P’ and ‘Q’ is 4 volt.
Now when switch  S2 is closed
IPQ=6×2151=0.08A

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