A series RL circuit with R = 10 Ω and L = 0.10 H is connected to v = 30 + 100 sin(100t) V. After steady state is reached, which statements are correct?
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Question

A series RL circuit with R = 10 Ω and L = 0.10 H is connected to v = 30 + 100 sin(100t) V. After steady state is reached, which statements are correct?

G1 Physics · Accepted Answer

For the DC component, the ideal inductor behaves as a short circuit in steady state, so Iᴅᴄ = 30/10 = 3 A. For the sinusoidal component, Xʟ = 100 × 0.10 = 10 Ω, giving Z = 10√2 Ω, current amplitude 5√2 A and phase lag 45°. The two components superpose.