A series LCR circuit is initially at resonance. The source frequency is then doubled while R, L and C remain unchanged. Which statements are correct at the new frequency?
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Question

A series LCR circuit is initially at resonance. The source frequency is then doubled while R, L and C remain unchanged. Which statements are correct at the new frequency?

G1 Physics · Accepted Answer

Since Xʟ = ωL, doubling ω doubles Xʟ. Since Xᴄ = 1/(ωC), doubling ω halves Xᴄ. Starting from Xʟ=Xᴄ, the new circuit is net inductive, so the power factor is no longer unity.