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Impedance Builder

Build series and parallel RLC networks; plot impedance magnitude and phase vs frequency

Impedance Z = R + jX extends resistance to AC circuits by including reactance. |Z| = √(R²+X²) gives the peak voltage-to-current ratio; phase angle θ = arctan(X/R) gives the phase shift.

Series vs parallel combinations

Series: Z_total = Z1 + Z2 (add complex numbers directly). Parallel: 1/Z_total = 1/Z1 + 1/Z2.

Series RLC resonance

Z = R + j(ωL − 1/ωC). At resonance ω₀ = 1/√(LC), imaginary parts cancel and Z = R. Bandwidth BW = f₀/Q.