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Question

What is the behavior of the impedance in a series LCR circuit at very high frequencies?

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Explanation

**Impedance behavior at high frequencies** X_L=ωL dominates ∝ f, X_C=1/ωC →0, so Z≈√(R²+X_L²)≈X_L large, current small, circuit inductive, φ→90°, at low frequencies X_C large, Z≈X_C, capacitive, φ→-90°, at intermediate resonance Z minimal =R. At very high frequencies, X_L = ω L becomes very large, while X_C = (1/ω C) becomes very small. The impedance Z = √(R² + (X_L - X_C)²) is dominated by X_L , making the circuit behave as predominantly inductive. Applying X_L = ωL, X_C = 1/ωC, Z = √(R² + (X_L - X_C)²), I_rms = V_rms/Z, P = V_rms I_rms cosφ, V_s/V_p = N_s/N_p, calculation gives It behaves as predominantly inductive,

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