A series LCR circuit has R = 10 Ω, Xʟ = 30 Ω and Xᴄ = 20 Ω and is connected to a 100 V RMS source. Which statements are correct?
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Question

A series LCR circuit has R = 10 Ω, Xʟ = 30 Ω and Xᴄ = 20 Ω and is connected to a 100 V RMS source. Which statements are correct?

G1 Physics · Accepted Answer

The net reactance is Xʟ − Xᴄ = 10 Ω. Thus Z = √(10² + 10²) = 10√2 Ω and I = 100/(10√2) = 5√2 A. The power factor is R/Z = 1/√2. Since the net reactance is inductive, current lags, not leads.