Calculator · Electrical Engineering
Series RLC Circuit Calculator
A resistor, inductor and capacitor in series, driven at one frequency. The inductive and capacitive reactances oppose each other; whichever is larger sets the circuit's character, and at resonance they cancel so the impedance is just R.
Inputs
Results
|Z|
10.01 Ω
Phase φ
-2.3768°
Character
capacitive
Capacitive (XC > XL, current leads)
| XL | 31.42 Ω |
|---|---|
| XC | 31.83 Ω |
| Net reactance X = XL − XC | -415.1 mΩ |
| Impedance Z | 10 Ω − j415.1 mΩ |
| Resonant frequency f0 | 50.3292 Hz |
| Quality factor Q | 3.1623 |
Explore in the Lab
Open this circuit in the AC & RLC Lab
Same R, L, C, f and source.
Technical reference
Z = R + j(XL − XC), XL = ωL, XC = 1/(ωC)
|Z| = √(R² + X²), φ = atan2(X, R)
f0 = 1/(2π√(LC)), Q = (1/R)·√(L/C)
|I| = V/|Z|; |V_R| = |I|R, |V_L| = |I|XL, |V_C| = |I|XC
- R
- resistance (> 0)[Ω]
- L
- inductance (> 0)[H]
- C
- capacitance (> 0)[F]
- f
- frequency (≥ 0)[Hz]
- V
- RMS source voltage (optional)[V]
Reference: R = 10 Ω, L = 0.1 H, C = 100 µF → f0 ≈ 50.3292 Hz; at f0, Z ≈ R and φ ≈ 0.
Element voltages are RMS magnitudes and are out of phase, so |V_L| or |V_C| can exceed the source.