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Find the voltage across the various elem...

Find the voltage across the various elements, i.e., resistance, capacitance and inductance which are in series and having values `1000 Omega, 1muF` and 2.0 H respectively . Given emf as,
V = 100sqrt2 sin 1000 t V`

Text Solution

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Impendace ` Z= sqrt(R^(2)+(X_(L)-X_(C))^(2)`
`=sqrt((1000)^(2)+[1000xx2-(1)/(1000xx1xx10^(-6))]^(2))=1000sqrt(2)Omega`
As `l_("rms") X_(L) = 0.0707 xx 1000xx2= 141.4 V`
rms voltage across capacitor, `V_(C)=l_("rms")X_(C) = 70.7 V`
rms voltage across resistor `V_(R) = l_("rms")R=70.7 V`
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