RLC Impedance Calculator – Series Circuit
Find impedance magnitude and phase for an ideal series RLC circuit under sinusoidal AC.
Formula
XL = 2πfL; XC = 1/(2πfC); |Z| = √[R² + (XL − XC)²]; φ = atan[(XL − XC)/R].
Resistance R: 10 Ω · Inductance L: 100 mH · Capacitance C: 100 µF · Frequency f: 50 Hz · Inductive reactance ≈ 2×pi×(50 Hz)×(100 mH × 0.001 H/mH) · Capacitive reactance ≈ 1÷(2×pi×(50 Hz)×(100 µF × 0.000001 F/µF)) · Impedance magnitude ≈ sqrt((10 Ω)^2+((31.41592654)-(31.83098862))^2) · Phase angle ≈ atan(((31.41592654)-(31.83098862))÷(10 Ω))×180÷pi
How to use
- Enter series R, L and C; R and C must be positive.
- Enter positive frequency.
- Read |Z|, reactances and phase.
Examples
- At ω = 1 rad/s, R = 4 Ω, L = 1 H, C = 1 F give |Z| = 4 Ω.
Frequently asked questions
Does this handle parallel RLC?
No. All three components are in series.
What does phase mean?
Voltage phase relative to current; positive is inductive, negative capacitive.
Are losses included?
Only the entered R; ideal L and C omit parasitic losses.
Sources
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