Inductive Reactance Calculator

Use the inductive reactance calculator to work out the impedance of a purely inductive circuit.

Inductive reactance31.4159 Ω2π × 50 Hz × 100 mH — rises with frequency, so an inductor blocks high frequencies

Current through the inductor7.3211 Alagging the voltage by 90°

Capacitive reactance318.3099 Ω1 ÷ (2π × 50 Hz × 10 µF) — FALLS with frequency, so a capacitor blocks DC and passes high frequencies

Current through the capacitor722.5663 mAleading the voltage by 90°

Net reactance in series-286.894 Ωcapacitive — below resonance

Resonant frequency159.1549 Hzwhere the two reactances cancel exactly

You are3.183× below resonance

Reactance stores rather than dissipatesno real powera pure reactance takes energy in for a quarter cycle and gives it all back the next — which is why it limits current without producing heat

At 60 HzX_L 37.6991 Ω, X_C 265.2582 Ω

At 1 kHzX_L 628.3185 Ω, X_C 15.9155 Ω

At 1 MHzX_L 628.3185 kΩ, X_C 15.9155 mΩ

The formula

X_L = 2πfL; X_C = 1 ÷ 2πfC

Opposite slopes

Inductive reactance rises with frequency and capacitive reactance falls. That single asymmetry is the basis of every passive filter: put a capacitor across a signal and it shunts high frequencies to ground; put an inductor in series and it blocks them.

At DC the two are at their extremes. A capacitor's reactance is infinite, so it blocks DC entirely — which is exactly what a coupling capacitor is for. An inductor's is zero, so it is a plain wire, which is why a transformer does nothing on DC and why a motor winding draws destructive current if fed DC.

Reactance limits current without dissipating power. It absorbs energy for a quarter of a cycle and returns all of it the next, so unlike a resistor it does not get hot. That is the principle behind a capacitive dropper and behind reactive ballasts — and also why reactive current still heats the cable, which has real resistance even though the load does not dissipate.