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Find the charge on capacitor in steady s...

Find the charge on capacitor in steady state.

Text Solution

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In steady state the equivalent circuit is
`5i_(1)-2i_(2)=6`
`6i_(2)-2i_(1)=-4`
`13i_(2)=14`
`i_(1)=(14)/(13)`Amp, `i_(2)=-(4)/(13)` Amp
`:. ` Potential difference across `BC`
`V_(A)=6-(14)/(13)=(64)/(13)V`
`V_(D)=(64)/(13)-2(-4//13)=(72)/(13)V`
`V_(B)=(64)/(13)-1xx{(14)/(13)+(4)/(13)}=(46)/(13)V`
`:. V_(DB)=(72-46)/(13)=(26)/(13)=2`volt
`:. ` Charge on capacitor `=CV_(BD)=4xx10^(-6)xx2=8muC`
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