Inductive Reactance Calculator
This Inductive Reactance Calculator determines how strongly an ideal inductor opposes alternating current at a selected frequency. Enter frequency and inductance to calculate XL and angular frequency.
The result supports AC analysis, RF tuning, choke and filter selection, switching-power design, and quick inductor impedance estimates across an operating frequency range.
The calculation uses ideal inductance. Practical designs should also account for winding resistance, core loss, tolerance, saturation, parasitic capacitance, and self-resonant frequency.
Engineering tool
Inductive Reactance Calculator
Calculate ideal inductor reactance and angular frequency from inductance and AC frequency using SI base units.
AC, signal, switching, or RF frequency applied to the inductor.
Effective inductance at the selected frequency and operating point.
Inductive reactance (XL)
62.832 Ω
XL = 2πfL
Result console
- Reactance in ohms
- 62.832Ω
- Human-readable reactance
- 62.832Ω
- Angular frequency (ω)
- 6,283.185rad/s
At the selected frequency, the ideal inductor presents 62.832 Ω of reactance. Increasing frequency or inductance raises this value.
Inductor in an AC Circuit
The inductor presents a frequency-dependent reactance between the AC source and load. Higher frequency or larger inductance produces a higher ideal XL.
Formula reference
Inductive Reactance Formula
Frequency and inductance are multiplied, so increasing either value raises ideal inductive reactance.
XL = 2πfLω = 2πfXL = ωLVariable definitions
- XL
- Inductive reactance in ohms (Ω)
- f
- Frequency in hertz (Hz)
- L
- Inductance in henries (H)
- π
- Pi, approximately 3.14159
- ω
- Angular frequency in radians per second (rad/s)
How to Use This Calculator
- Enter the operating frequency and choose Hz, kHz, MHz, or GHz.
- Enter inductance and select nH, µH, mH, or H.
- Select Calculate to obtain XL, its engineering-format value, and ω.
- Compare ideal XL with winding resistance and measured impedance before component selection.
Worked Example
10 mH Inductor at 1 kHz
f = 1 kHz = 1,000 Hz
L = 10 mH = 0.01 H
XL = 2π × 1,000 × 0.01
XL ≈ 62.83 Ω
ω = 2π × 1,000 ≈ 6,283 rad/s.
Engineering Notes
Reactance increases with frequency
Doubling frequency doubles ideal XL, so an inductor opposes higher-frequency current changes more strongly.
Larger inductance raises XL
At the same frequency, a larger inductor produces proportionally higher reactance.
DC behavior differs from AC
An ideal inductor has zero steady-state reactance at DC but increasingly higher reactance as AC frequency rises.
Real inductors include losses
Winding resistance, core loss, parasitic capacitance, tolerance, heating, and saturation make real impedance differ from ideal XL.
Useful across engineering systems
Inductive reactance supports filter, choke, power-supply, RF, EMI, and general impedance estimates.
Common Mistakes
- Using kHz or mH directly without converting to hertz and henries.
- Treating XL as the complete impedance of a real inductor.
- Ignoring winding resistance and core losses at the operating frequency.
- Operating near or above the inductor self-resonant frequency.
- Ignoring current rating, saturation, tolerance, and temperature rise.
Support reference
FAQ
What is inductive reactance?
Inductive reactance is the frequency-dependent opposition an ideal inductor presents to alternating current. It is measured in ohms and represented by XL.
How do you calculate inductive reactance?
Use XL = 2πfL, where frequency is in hertz and inductance is in henries. The result is the ideal inductive reactance in ohms.
Why does inductive reactance increase with frequency?
A faster-changing current produces a larger induced voltage that opposes that change. Since frequency is multiplied in XL = 2πfL, reactance rises directly with frequency.
What is inductive reactance at DC?
At steady-state DC, frequency is zero and ideal inductive reactance is zero. A real inductor still has winding resistance, and current may be limited by resistance, saturation, or the driving circuit.
Is inductive reactance the same as impedance?
XL is the magnitude of ideal inductive reactance. Ideal inductor impedance is complex and written ZL = jXL. A real inductor also includes winding resistance, core loss, parasitic capacitance, and frequency-dependent behavior.
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Browse the Inductors calculator category or review component selection information in the Engineering Reference Center.
This calculator provides ideal inductive reactance for engineering reference. Verify winding resistance, core loss, parasitic capacitance, tolerance, current rating, saturation, self-resonant frequency, and measured impedance before using the result in production.