# LC Resonant Frequency Calculator

URL: https://speedycalculator.com/calculators/physics/resonant-frequency/
Last updated: 2026-10-25

> The resonant frequency calculator finds the frequency at which an inductor and capacitor resonate, f = 1 ÷ (2π√(LC)). It is used to tune radios, filters and oscillators.

## Inputs

- Inductance (mH, µH, H)
- Capacitance (µF, nF, pF, mF, F)

## Results

- Resonant frequency
- Angular frequency

## Formula

```
f = 1 ÷ (2π √(L C))
```

## Explanation

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

FieldWhat to enterInductanceUnits: mH, µH, HCapacitanceUnits: 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)0.522,507.910.7518,377.63115,915.491.2514,235.251.512,994.95211,253.95

## Worked example

Inputs — Inductance: 1 mH; Capacitance: 0.1 µF.

Results — **Resonant frequency = 15,915.49 Hz**; Angular frequency = 100,000 rad/s.

## FAQ

**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)).