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A part of a circuit in steady state alon...

A part of a circuit in steady state along with the currents flowing in the branches,the values of resistances,etc, is shown in figure.Calculate the energy stored in the capacitor.

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To get the energy stored in the capacitor,we shall calculate the potential difference between the points P and Q. In steady state, there is no current in the capacitor branch. Applying Kirchhoff's junctions law at P, the current in the `(5 Omega-1 Omega)`branch will be 3 A and hence
`V_(P)-V_(S)=(6Omega)xx3A=18V.`
Applying the same theorem at Q, the current in the `(2Omega)`resistor will be 1A towards Q so that
`V_(S)-V_(Q)=(2Omega)xx1A=2 V.`
`Thus, V_(P)-V_(Q)=(V_(P)-V_(S))+(V_(S)-V_(Q))=20 V.`
The energy stored in the capacitor,brgt`=(1)/(2)CV^(2)=(1)/(2)xx4(mu)Fxx400V^(2)`
`800(mu)J.`
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