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A series LCR circuit with a 100 ohm resistor dissipates 80 W when attached to a 120 V, 60 Hz power line. What is the power factor?
Asked by arjunsah797 | 27 Mar, 2022, 08:00: PM
Power dissipation in 100 Ω resistor = = 80 W
where irms is RMS current in the circuit and R is resistor

Impedence z of circuit is calculated as follows

Impedence z of circuit is given as

Power factor = cosΦ ,

where Φ = tan-1 [ ( XC - XL ) / R ] = tan-1 [ 89.4 / 100 ] = 41.81 o

power factor = cosΦ = cos ( 41.81 ) = 0.745
Answered by Thiyagarajan K | 27 Mar, 2022, 09:08: PM

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