A coil of inductive reactance 31 Ω has a resistance of 8 Ω. It is placed in series with a condenser of capacitive reactance 25 Ω. The combination is connected to an a.c. source of 110 V. The power factor of the circuit is:
Given,
Inductive reactance of coil = 31Ω
Resistance = 8Ω
Capacitive reactance = 25 Ω
Power factor (cos Ï•)is a ratio of resistance and impedance of a.c. circuit.
Power factor of a.c. circuit is given by:
Cos Ï• = ……..(i)
Where R is resistance employed and z the impedance of the circuit.
Z = …………(ii)
Eqs. (i) and (ii) meet to give,
Cos Ï• = …………(iii)
Given R= 8Ω , XL =31 Ω, XC =25 Ω
∴ Cos Ï• =
=
Hence, Cos Ï• = 0.80