Inductance Converter
Convert between henry, millihenry, microhenry, and nanohenry, then add a frequency to get the inductive reactance in ohms from XL = 2 pi f L.
Type in any field and the others update instantly. Add a frequency and the reactance in ohms is worked out too, which is what the circuit actually feels.
Inductance describes how strongly a coil or wire resists a change in the current flowing through it. Push current into an inductor and it stores energy in a magnetic field; try to cut that current suddenly and the inductor fights back with a voltage spike. The unit is the henry (H), named after Joseph Henry, who worked out electromagnetic induction in the 1830s around the same time as Faraday.
A henry is a lot of inductance, so real parts are almost always fractions of one.
Metric prefixes:
- 1 H = 1,000 mH (millihenrys)
- 1 H = 1,000,000 µH (microhenrys)
- 1 H = 1,000,000,000 nH (nanohenrys)
Typical values:
- Power transformer winding: 1-100 H
- Filter choke or small inductor: 1 µH to 10 mH
- A short PCB trace: 1-100 nH
The reason nanohenrys matter at all is frequency. At 60 Hz a few nanohenrys is invisible. At gigahertz radio frequencies that same trace inductance can detune a circuit completely, which is why RF and high-speed designers fuss over trace length while a power-supply engineer rounds it to zero.
A common mistake is treating the inductor value alone as the whole story. What a circuit actually feels is reactance, which is inductance times frequency. The same 10 µH coil acts like a near-short at audio frequencies and a near-open at radio frequencies.
That is what the frequency box above is for. Inductive reactance is XL = 2πfL, in ohms, and the numbers move fast: a 10 µH coil measures 62.8 mΩ at 1 kHz, 62.8 Ω at 1 MHz, and 62.8 kΩ at 1 GHz. Same part, six orders of magnitude of behaviour, decided entirely by what you feed it.
Reading the number once you have it:
| Reactance | What it means in the circuit |
|---|---|
| Under about 1 Ω | Effectively a wire at this frequency |
| 1 Ω to 1 kΩ | Doing real work, the usual range for filtering and matching |
| Over about 1 kΩ | Close to an open circuit, which is how a choke blocks noise |
There is a limit to how far that scaling holds. Every real inductor has stray capacitance between its own turns, and above its self-resonant frequency the part stops behaving like an inductor and starts behaving like a capacitor. Datasheets list the self-resonant frequency for exactly this reason, and it is the first spec worth checking when a filter behaves backwards from what the maths predicted.
How we build and check this converter
This converter runs entirely in your browser, so the numbers you enter stay on your device. The math behind it is written by hand and tested against worked examples and standard references before the page goes live.
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