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Q.
In a 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. The ratio P1P2 is
In case of L-R circuit Z=√X2L+R2& power factor P1=cosϕ=RZ
As XL=R ⇒Z=√2R ⇒P1=R√2R⇒P1=1√2
In case of L-C-R circuit Z=√R2+(XL−XC)2
As XL=XC ⇒Z=R ⇒P2=cosϕ=RR=1 ⇒P1P2=1√2