Inductor Reactance Calculator

Compute reactance from inductance, frequency, or angular speed. Review impedance, phase angle, current, and resonance. Compare AC behavior across units, voltages, resistance, and tuning.

Calculator Inputs

Use any supported mode to calculate inductor reactance. Optional resistance, voltage, and capacitance extend the analysis for RL and tuned circuits.

Supported modes: Inductance + frequency, inductance + angular frequency, or voltage + current across the inductor. Add resistance for impedance and phase angle.
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Example Data Table

These example cases show how reactance rises with frequency and inductance in AC analysis.

Case Inductance Frequency Angular Frequency Reactance
1 10 mH 50 Hz 314.159265 rad/s 3.141593 Ω
2 22 mH 60 Hz 376.991118 rad/s 8.293805 Ω
3 47 mH 400 Hz 2,513.274123 rad/s 118.123884 Ω
4 3.3 mH 1000 Hz 6,283.185307 rad/s 20.734512 Ω
5 220 uH 100000 Hz 628,318.530718 rad/s 138.230077 Ω

Formula Used

Inductor reactance measures opposition to AC. It increases directly with frequency and inductance.

Primary reactance formula: Xₗ = 2πfL
Angular frequency form: Xₗ = ωL
Angular frequency relation: ω = 2πf
Series RL impedance: Z = √(R² + Xₗ²)
Phase angle: φ = tan⁻¹(Xₗ / R)
Resonant frequency with capacitance: fᵣ = 1 / (2π√(LC))

For a pure inductor, current lags voltage by 90°. In practical coils, winding resistance reduces the phase angle and affects total impedance.

How to Use This Calculator

  1. Choose the most suitable calculation mode for your known values.
  2. Enter inductance, frequency, or angular frequency using matching units.
  3. Add voltage if you also want current or reactive power values.
  4. Add series resistance to estimate impedance, phase angle, and RL behavior.
  5. Add capacitance to evaluate resonance and net reactance in an LC path.
  6. Press Calculate to show the result panel above the form.

Frequently Asked Questions

1) What does inductor reactance represent?

It is the opposition an inductor offers to alternating current. Higher frequency or larger inductance produces higher reactance, reducing AC current for the same applied voltage.

2) Why does reactance change with frequency?

Inductors resist changing current. Faster current reversal causes stronger magnetic opposition, so reactance rises linearly with frequency according to Xₗ = 2πfL.

3) What is the difference between reactance and impedance?

Reactance is the frequency-dependent imaginary opposition. Impedance combines resistance and reactance into one total AC opposition, expressed in ohms.

4) When should I use angular frequency mode?

Use angular frequency when your source data comes from equations in radians per second, control systems, filters, or sinusoidal waveform models.

5) Why add series resistance to the calculator?

Real inductors have winding resistance. Adding it helps estimate actual impedance, current, phase angle, power factor, and the RL time constant.

6) What happens if I also enter capacitance?

The calculator estimates resonant frequency and compares inductive reactance with capacitive reactance. This is useful for tuned circuits, filters, and resonance checks.

7) Can this calculator be used for DC analysis?

At steady-state DC, frequency is zero, so ideal inductor reactance is zero. The calculator is mainly intended for AC and transient engineering work.

8) Which units are supported here?

The form supports H, mH, uH, nH for inductance; Hz through GHz for frequency; rad/s scales; and several capacitance units for resonance analysis.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.