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Question

In the circuit shown in figure, if the charge on capacitor C2 in steady state is 2xμC , Then x is :
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Solution

Current in outer loop after steady state =3A
Assuming that 20Vve terminal is set as reference of 0V
Therefore Potential between 3Ω & 5Ω resistors is 11V
And Potential between 10V Source and 5Ω resistor is 4V

Consider any 2 loop equations:
15+x+y2=0
+106+z10x=0

And one charge equation:
xy+z=0
where x is for C2, y is for C1 and z is for C3
After solving the equation, the value of x is 6.
Answer is x=6

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