Calculate inductance in henries from inductive reactance (ohms) and frequency, or solve for reactance or frequency, with unit conversions and optional impedance from coil resistance.

Ohms and henries measure different things. This calculator uses inductive reactance XL = 2πfL to link them through frequency.

50 Hz (EU mains)
60 Hz (US mains)
400 Hz
1 kHz
10 kHz
100 kHz
1 MHz

Tap a preset to fill in a common AC frequency, or type your own value above.

Real inductors have wire resistance. Add it to also see the total impedance, phase angle, and power factor.

Ohms To Henries Formula

The following formula is used to calculate inductance (in henries) from inductive reactance (in ohms) at a given frequency.

L = XL / (2 × π × f)

Variables:

  • L is the inductance in henries (H)
  • XL is the inductive reactance in ohms (Ω)
  • f is the frequency in hertz (Hz)
  • π is the mathematical constant Pi (~3.14159)
Inductance to Reactance Conversion Table (XL = 2π f L, f = 1.000 kHz)
Inductance (H) Reactance (Ω)
0.0000010.006
0.00000220.014
0.00000470.030
0.0000100.063
0.0000220.138
0.0000330.207
0.0000470.295
0.0000680.427
0.0001000.628
0.0002201.382
0.0003302.073
0.0004702.953
0.0006804.273
0.0010006.283
0.00220013.823
0.00470029.531
0.01000062.832
0.022000138.230
0.047000295.310
0.100000628.319
* Reactance rounded to 3 decimals. Uses XL = 2π f L with f = 1 kHz (inductive reactance increases linearly with frequency).

What Is an Ohms To Henries Calculation?

“Ohms to henries” typically refers to calculating inductance (in henries) from inductive reactance (measured in ohms) at a specific frequency. Since ohms and henries measure different electrical properties, you cannot convert plain resistance into inductance without additional context. For inductors, the key relationship is between inductive reactance, frequency, and inductance.

How to Calculate Ohms To Henries?

The following steps outline how to calculate the Ohms To Henries.

  1. First, determine the inductive reactance in ohms (XL).
  2. Next, determine the frequency in hertz (f).
  3. Next, use the formula from above: L = XL / (2 * π * f).
  4. Finally, calculate the inductance in henries (H).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

inductive reactance in ohms (XL) = 50

frequency in hertz (f) = 100

mathematical constant Pi (π ≈ 3.14159)

Solution: L = XL / (2πf) = 50 / (2π · 100) = 0.0796 H (≈ 79.6 mH).