A series LCR circuit draws 4 A RMS from a 100 V RMS source at a power factor of 0.8 lagging. Which statements are correct?
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Question

A series LCR circuit draws 4 A RMS from a 100 V RMS source at a power factor of 0.8 lagging. Which statements are correct?

G1 Physics · Accepted Answer

Z = V/I = 100/4 = 25 Ω. Since cosφ = R/Z = 0.8, R = 20 Ω. Then |Xʟ − Xᴄ| = √(25² − 20²) = 15 Ω. Lagging power factor means this reactance is inductive. Power P = VIcosφ = 100 × 4 × 0.8 = 320 W.