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Question

# If at t=0, switch S is closed, then at steady state find the net charge that flows through the given circuit as shown

A
500 μC
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B
800 μC
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C
300 μC
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D
400 μC
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Solution

## The correct option is C 300 μCLet us solve this problem using potential method, assigning potential to the known points as shown in figure. By using Kirchhoff`s junction law, considering junction at P, we can get ⇒(V0−30)20+(V0−0)15+(V0−0)5=0 ⇒20V0−600+15V0+5V0=0 ⇒40V0=600 ∴V0=15 V Whatever charge flows from battery, it will pass through capacitor C1. Therefore charge passing through C1 is Q1=C1V=20(30−15)=300 μC. So, the net charge flowing through the circuit will be, ∴Qnet=300 μC Hence, option (c) is the correct answer.

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