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Find the potential difference across re...

Find the potential difference across resistance, capacitance and inductance in series LCR circuit where `L=2.0 H, C = 1 mu F and R = 100 Omega`. The applied emf has the form `V= 100 sqrt(2) sin (1000 t)`

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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