Inductor Reactance Calculator
Calculate inductive reactance XL = 2πfL for any inductance and frequency. Covers series/parallel inductors, Q factor, phase angle, energy stored, and self-resonant frequency.
Inductive Reactance XL
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Inductance (H) —
Frequency (Hz) —
Extended More scenarios, charts & detailed breakdown ▾
Inductive Reactance XL (Ω)
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Professional Full parameters & maximum detail ▾
Inductive Reactance XL (Ω)
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Phase Angle (°) —
Q Factor (XL/R) —
Self-Resonant Frequency (MHz) —
Energy Stored ½LI² (μJ) —
Time Constant τ = L/R (μs) —
How to Use This Calculator
- Select the inductance unit (H, mH, or μH) and enter the inductance value.
- Select the frequency unit and enter the frequency.
- The simple tier gives XL instantly.
- Use Extended tabs for series/parallel combinations.
- Professional mode adds Q factor, phase angle, energy stored, and time constant.
Formula
XL = 2πfL (Ω)
Series: L_total = L₁ + L₂ | Parallel: 1/L_total = 1/L₁ + 1/L₂
Q = XL / R | Energy = ½LI² | τ = L/R
Example
L = 100 mH, f = 10 kHz: XL = 2π × 10,000 × 0.1 = 6,283 Ω. With R = 5 Ω, Q = 6283/5 = 1257.
Frequently Asked Questions
- Inductive reactance (XL) is the opposition an inductor offers to alternating current. It increases with frequency: XL = 2πfL, where f is frequency in Hz and L is inductance in Henries. At DC (f=0), a pure inductor has zero reactance.
- Series inductors simply add: L_total = L₁ + L₂ + ... (assuming no mutual coupling). The total reactance is XL = 2πf × L_total.
- For two parallel inductors: 1/L_total = 1/L₁ + 1/L₂, or equivalently L_total = (L₁ × L₂)/(L₁ + L₂). Total reactance is lower than either individual inductor.
- The quality factor Q = XL / R, where R is the series resistance. A high Q (>10) indicates a low-loss inductor. RF inductors have Q of 50–200; power inductors typically Q 10–50.
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Sources & References (5) ▾
- HyperPhysics – Inductor Reactance — Georgia State University
- OpenStax University Physics Vol. 2 Ch. 14 – Inductance — OpenStax
- NIST Engineering Metrology Reference — NIST
- Khan Academy – AC Circuits and Reactance — Khan Academy
- Sedra & Smith – Microelectronic Circuits, 8th Ed. — Oxford University Press