Reactance Calculator

Pick component type, enter the value and frequency, and get the reactance in ohms — the AC 'resistance' of inductors and capacitors.

Reactance Calculator inputs

Last updated: 2026-09-28

How the calculation works

  • Inductive reactance rises with frequency: Xʟ = 2πfL — an inductor passes DC and increasingly blocks AC.
  • Capacitive reactance falls with frequency: X꜀ = 1/(2πfC) — a capacitor blocks DC and passes high frequencies.
  • Reactance shifts phase: current lags 90° through an inductor, leads 90° through a capacitor — the basis of filters and PF correction.

Formula

Xʟ = 2π × f × L
X꜀ = 1 / (2π × f × C)
Formula variables
SymbolMeaningUnit
XReactance magnitudeΩ
fFrequencyHz
L, CInductance / capacitanceH, F

Worked example

A 10 mH inductor at 60 Hz: Xʟ = 2π × 60 × 0.01 = 3.77 Ω; at 10 kHz it is 628 Ω — 167× higher, why the same coil works as a choke. A 10 µF capacitor at 60 Hz: X꜀ = 265 Ω; at 10 kHz, 1.59 Ω. These are exactly the figures for sizing PF-correction capacitors and filter chokes.

Interpreting the result

Reactance is the AC resistance that sets filter corner frequencies (f = 1/2πRC or 1/2π√(LC) for LC), motor-run capacitor sizing, and choke design. It is not loss: an ideal reactance stores and returns energy each cycle, so a capacitor drawing kVARs adds little to your kWh bill — but it does load the conductors, which is why PF correction exists.

Assumptions

  • Ideal components: real parts add series resistance (ESR) and self-resonance above which behavior inverts.
  • Sinusoidal steady state at the stated frequency.

Limitations

  • At self-resonant frequency and beyond, real inductors act capacitive (and vice versa).
  • Magnetic-core inductors lose inductance with DC bias (saturation).

Frequently asked questions

What is the reactance of a capacitor at 60 Hz?

X꜀ = 1/(2π·60·C). A 10 µF capacitor shows 265 Ω; a 100 µF shows 26.5 Ω. Bigger capacitors and higher frequencies both mean lower reactance.

Is reactance the same as impedance?

Impedance is the vector sum of resistance and reactance: Z = √(R² + X²). Reactance is the imaginary part alone — no energy is lost in ideal reactance, only in the resistive part.

Related tools

Technical references