Boneyard Tools

Inductive Reactance Calculator

This calculator finds the inductive reactance Xl of a coil from the formula Xl = 2 pi f L. Enter the frequency and inductance, each with a unit you pick from a dropdown, and it returns the opposition the inductor presents to alternating current in ohms. Reactance climbs as either the frequency or the inductance grows, so the tool rescales the answer to kilo-ohms or mega-ohms when the value gets large.

How to use the inductive reactance calculator

  1. Type the signal frequency into the Frequency field.
  2. Set its unit to Hz, kHz or MHz with the adjoining menu.
  3. Type the inductance and choose H, mH or uH for its unit.
  4. Read the inductive reactance Xl, auto-scaled to ohms, k ohm or M ohm.
  5. Click Copy to save the reactance as a labelled line such as Xl = 62.8319 ohm.

Examples

Audio coil at 1 kHz

f = 1 kHz, L = 10 mH
Xl = 62.8319 ohm

Choke on 60 Hz mains

f = 60 Hz, L = 0.1 H
Xl = 37.6991 ohm

Same coil at high frequency

f = 100 kHz, L = 10 mH
Xl = 6.2832 k ohm

Frequently asked questions

What is inductive reactance?

Inductive reactance Xl is the opposition an inductor presents to alternating current, measured in ohms. It comes from Xl = 2 pi f L, where f is frequency in hertz and L is inductance in henries.

Why does reactance rise with frequency?

Frequency multiplies inductance in the formula, so the faster the current alternates the harder the inductor pushes back. Double the frequency and the reactance doubles, which is why an inductor looks almost like an open circuit at very high frequencies.

What is the reactance of a 10 mH inductor at 1 kHz?

About 62.8319 ohms. Putting f = 1000 Hz and L = 0.01 H into Xl = 2 pi f L gives 2 times pi times 1000 times 0.01, which the tool shows as 62.8319 ohm.

Which units can I mix?

Frequency accepts Hz, kHz or MHz and inductance accepts H, mH or uH. The tool converts each to base SI units before calculating, so you can enter 1 kHz and 10 mH without doing any conversion yourself.

How does the result get its ohm, k ohm or M ohm label?

The reactance is rounded to four decimals, then shown in ohms below 1,000, kilo-ohms from 1,000 up, and mega-ohms from a million up. So 6283 ohms displays as 6.2832 k ohm.

How does inductive reactance differ from capacitive reactance?

Inductive reactance rises with frequency while capacitive reactance falls with it. In a series LC circuit the two are equal and cancel at the resonant frequency, leaving only resistance.

Does the inductor's own resistance count?

No, this tool reports ideal reactance only. A real coil also has winding resistance R, so its total impedance is the square root of R squared plus Xl squared, which is slightly larger than Xl alone.

Can I use it for DC?

At true DC the frequency is zero, so Xl is zero and an ideal inductor behaves as a plain wire. The calculator requires a positive frequency, so enter the AC frequency you actually care about.

Is my input sent anywhere?

No. The reactance is computed in your browser as you type, so the frequency and inductance you enter never leave your device.

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