Inductive Reactance Calculator

An inductor opposes alternating current more as the frequency rises: X_L = 2πfL. At DC (0 Hz) an ideal inductor has no reactance at all.

Also called: Inductor reactance calculator · X_L calculator

  • Last updated
  • Formula tested against reference values

Your numbers

Inductance unit
Frequency unit

Result

Inductive reactance
—Ω

Calculating…

Reactance (with prefix)
—
Angular frequency (ω)
—

How to use this calculator

  1. Enter or choose inductance.
  2. Enter or choose inductance unit.
  3. Enter or choose frequency.
  4. Enter or choose frequency unit.
  5. The inductive reactance updates as you type. Use Copy result or Share to keep it.

Method

X_L = 2π × f × L = ω × L

f
frequency in Hz
L
inductance in henries
ω
angular frequency 2πf in rad/s

Worked example

  1. ω = 2π × 50 = 314.159 rad/s.
  2. X_L = 314.159 × 0.010 H = 3.1416 Ω.

A 10 mH inductor has a reactance of about 3.14 Ω at 50 Hz, rising to 3.77 Ω at 60 Hz.

What the result means

Reactance does not dissipate power; it shifts current 90° behind voltage. Combine it with resistance and any capacitance in the AC Impedance Calculator.

Assumptions and limits

  • Ideal inductor with constant inductance and no winding resistance.
  • At high frequency, self-capacitance makes real inductors resonate and stop behaving inductively.
  • Iron-cored inductors change value with current.

Questions

How is reactance different from resistance?

Both are measured in ohms, but reactance stores and returns energy each cycle instead of turning it into heat.

What about capacitors?

Capacitive reactance falls with frequency: X_C = 1 ÷ (2πfC). The AC Impedance Calculator includes both.