A series LCR circuit has R = 20 Ω, Xʟ = 60 Ω and Xᴄ = 40 Ω. It is connected to v = 200 sinωt V. Which statements are correct?
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Question

A series LCR circuit has R = 20 Ω, Xʟ = 60 Ω and Xᴄ = 40 Ω. It is connected to v = 200 sinωt V. Which statements are correct?

G1 Physics · Accepted Answer

The net reactance is 20 Ω, so Z = √(20² + 20²) = 20√2 Ω. Hence I₀ = 200/(20√2) = 5√2 A and φ = 45° lagging. Therefore Vᵣ₀ = I₀R = 100√2 V and Vʟ₀ = I₀Xʟ = 300√2 V.