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QUEATION
In series LR circuit XL = R and power factor of
the circuit is P1. When capacitor with capacitance
C such that XL = XC is put in series, the power
factor becomes P2. Calculate P1/P2.
ANSWER
P=VIcosϕ
and cosϕ=R2+XL2−XC2R
And, I=R2+XL2−XC2V
⟹P=R2+XL2−XC2V2R
P1=R2+R2V2R=2RV2
P2=R2+R2−R2V2R=R
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