At resonance, the reactances of the inductor and capacitor cancel, so the circuit responds strongly at one frequency.
How to use the LC Resonant Frequency Calculator
- Inductance
- Capacitance
Results update as you type, and every field accepts the units shown in its menu.
How it works
Multiply inductance by capacitance, take the square root, multiply by 2π and take the reciprocal.
Inputs explained
| Field | What to enter |
|---|---|
| Inductance | Units: mH, µH, H |
| Capacitance | Units: µF, nF, pF, mF, F |
What each result means
- Resonant frequency = 1÷(2×pi×sqrt([Inductance]×[Capacitance]))
- Angular frequency = 2×pi×[Resonant frequency]
Example values
How the main result changes when Inductance changes and everything else stays at the example values above:
| Inductance (mH) | Resonant frequency (Hz) |
|---|---|
| 0.5 | 22,507.91 |
| 0.75 | 18,377.63 |
| 1 | 15,915.49 |
| 1.25 | 14,235.25 |
| 1.5 | 12,994.95 |
| 2 | 11,253.95 |
Formula
f = 1 ÷ (2π √(L C))Worked example
Inputs — Inductance: 1 mH; Capacitance: 0.1 µF.
Results — Resonant frequency = 15,915.49 Hz; Angular frequency = 100,000 rad/s.
Frequently asked questions
What is a tank circuit?
A parallel LC circuit that oscillates at its resonant frequency.
Does resistance change the frequency?
Only slightly; it mainly broadens the resonance.
What formula does the LC Resonant Frequency Calculator use?
f = 1 ÷ (2π √(L C)).