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In the circuit shown find (i) the current I (ii) V1 and V2 (iii) Pf. Draw the phasor diagram.
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Given:

(i) Current:

XL1=2πfL=2π×50×0.05=15.71 ΩXL2=2πfL=2π×50×0.1=31.42 Ω

XC=12πfC=12π×50×50×106=63.66 Ω

ˉZ=10+j15.71+20+j31.42j63.66   =30j16.53=34.25<28.85 Ω

I=VZ=20034.25=5.84 A

(ii) V1 and V2 

Let,     ˉI=5.84<0 A

$\bar Z_1=10+j15.71=18.62\lt 57.52\ \Omega …

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