MAXScanner electronics calculator
Updated 2026-09-16
Series RLC Impedance Calculator — Magnitude, Phase & Resonance
Solve ideal series RLC inductive/capacitive reactance, impedance magnitude, phase angle and resonant frequency from R, L, C and frequency.
Inputs
Results
|Z| 138.8457 Ω
XL 62.83185 Ω
XC 159.1549 Ω
Phase -43.92704°
Resonance 1,591.549 Hz
More actions
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Your calculation, step by step
- 1.L = 0.01 H; C = 0.000001 F; ω = 2πf = 6,283.185 rad/s.
- 2.XL = ωL = 62.83185 Ω; XC = 1/(ωC) = 159.1549 Ω; Resonance: f0 = 1/(2π√LC) = 1,591.549 Hz.
Formula, example and limits
Z=R+j(XL−XC); |Z|=√(R²+(XL−XC)²); f0=1/(2π√LC).
At resonance XL and XC cancel, so ideal series impedance approaches R.
- Ideal lumped RLC components.
- Component ESR, parasitics and tolerance are excluded.
Frequently asked questions
What does negative phase mean?
Negative impedance phase means the series circuit is net capacitive at that frequency.
What happens at resonance?
Ideal inductive and capacitive reactances cancel, leaving the resistor as the impedance magnitude.