AC Circuit Tool

Inductor Reactance Calculator

Calculate the inductive reactance of an inductor at any frequency. Enter frequency and inductance to calculate XL using the standard formula XL = 2πfL. Results are provided in ohms.

Inductive Reactance Calculator

Enter the operating frequency and inductor value to calculate inductive reactance.

L
Inductor L
Inductive Reactance Formula
XL = 2πfL

XL = inductive reactance
f = frequency in Hz
L = inductance in henries

Inductive Reactance
— Ω
Frequency
—
Hz
Inductance
—
H
Reactance Type
Inductive
AC opposition

The Formula

Inductive reactance is calculated by multiplying angular frequency by inductance.

XL = 2πfL

Frequency Effect

For a fixed inductor, increasing frequency increases inductive reactance.

XL ∝ f

Inductance Effect

For a fixed frequency, increasing inductance increases inductive reactance.

XL ∝ L
How It Works

Calculate inductor reactance in seconds.

The calculator converts your selected frequency and inductance units into SI units before applying the inductive reactance formula.

1

Enter frequency

Enter the operating frequency in Hz, kHz, MHz, or GHz.

2

Enter inductance

Enter the inductor value in nH, µH, mH, or H.

3

Calculate XL

The calculator applies XL = 2πfL and displays the result in ohms.

Worked Example

Example: 10 µH at 100 kHz

Consider a 10 µH inductor operating at a frequency of 100 kHz.

Quantity Value
Frequency 100,000 Hz
Inductance 10 µH
Inductance in henries 0.00001 H
Formula XL = 2πfL
Reactance ≈ 6.28 Ω

Therefore, a 10 µH inductor has approximately 6.28 Ω of inductive reactance at 100 kHz.

Engineering Applications

Where inductive reactance calculations are useful

Filter Design

Calculate inductor reactance when designing low-pass, high-pass, and other frequency-selective circuits.

AC Circuits

Determine how strongly an inductor opposes AC current at a particular frequency.

RLC Circuits

Use inductive reactance when analyzing the impedance and frequency response of RLC networks.

RF & Signal Circuits

Estimate inductor reactance in RF matching, filtering, tuning, and signal-conditioning circuits.

Inductive reactance is frequency dependent

Unlike an ideal resistor, an inductor's opposition to AC changes with frequency. As frequency increases, inductive reactance increases proportionally. At zero frequency, an ideal inductor has zero reactance, while at higher frequencies it can present substantial opposition to alternating current.

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Frequently Asked Questions

Inductor reactance questions

What is inductive reactance?

Inductive reactance is the opposition an inductor presents to alternating current. It is measured in ohms and is represented by XL.

What is the formula for inductive reactance?

The standard formula is XL = 2πfL, where XL is inductive reactance in ohms, f is frequency in hertz, and L is inductance in henries.

What happens to inductive reactance when frequency increases?

Inductive reactance increases as frequency increases. For a fixed inductor, XL is directly proportional to frequency.

What happens to inductive reactance when inductance increases?

Inductive reactance increases when inductance increases. A larger inductance produces greater opposition to AC at the same frequency.

What is inductive reactance at DC?

For an ideal inductor at zero frequency (DC), inductive reactance is zero. After the transient response, an ideal inductor behaves like a short circuit in steady-state DC.

What units are used in the inductive reactance formula?

Frequency should be expressed in hertz and inductance in henries. The resulting inductive reactance is expressed in ohms.