A coil of inductive reactance 31Ω has a resistance of 8Ω . It is placed in series with a condenser of capacitative reactance 25Ω . The combination is connected to an a.c. source of 110 V . The power f

Question

A coil of inductive reactance 31Ω has a resistance of 8Ω . It is placed in series with a condenser of capacitative reactance 25Ω . The combination is connected to an a.c. source of 110 V . The power factor of the circuit is:NEET 2006

TestHub · Accepted Answer

X L ​ = 31Ω , X C ​ = 25Ω , R = 8Ω ∴ impedance of series LCR is ​ Z = R 2 + ( X L ​ − X C ​ ) 2 ​ = 8 2 + ( 31 − 25 ) 2 ​ = 64 + 36 ​ = 100 ​ = 10Ω ​ Power factor cos ϕ = 2 R ​ = 10 8 ​ = 0.8

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