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Inductor Reactance & RL Circuit Calculator

Calculate inductive reactance (XL), RL time constant (τ), and magnetic stored energy

Inductor Magnetic Energy & RL Transient Curve

Solves magnetic field energy ($E = \frac12LI^2$), flux linkage, and RL current rise exponential transient

Inductor Application Presets

RL Current Rise Milestones (τ = L / R = 0.1 ms)

5τ Steady-State = 0.5 ms
1τ (63.2%)0.948 A0.1 ms
2τ (86.5%)1.297 A0.2 ms
3τ (95.0%)1.425 A0.3 ms
4τ (98.2%)1.473 A0.4 ms
5τ (99.3%)1.49 A0.5 ms
Stored Magnetic Energy
11.25 mJ
E = ½ L I²
Magnetic Flux Linkage
15 mWb
λ = L × I
RL Time Constant (τ)
0.1 ms
τ = L / R

About Inductor Reactance & RL Circuit Calculator

Calculate inductive reactance (XL = 2πfL), RL circuit time constants (τ = L / R), and magnetic field stored energy in Joules (E = 1/2 LI²). Essential for switch-mode power supplies, LC filters, and RF chokes.

Key Capabilities & Features

  • Calculates inductive reactance (XL in Ω) as a function of frequency (Hz)
  • Calculates RL circuit transient time constant τ = L / R
  • Computes stored electromagnetic field energy in Joules (E = 1/2 L I²)
  • Interactive inputs for inductance in millihenries (mH) and microhenries (µH)
  • Clear mathematical formulas and transient circuit insights

How to Use Inductor Reactance & RL Circuit Calculator

1

Input Inductance Value

Specify the coil inductance in millihenries (mH).

2

Set Signal Frequency

Enter the AC or switching frequency in Hertz (Hz).

3

Analyze Coil Metrics

Inspect inductive reactance, transient response time, and magnetic energy.

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Frequently Asked Questions

What is inductive reactance (XL)?

Inductive reactance is the AC opposition created by an inductor due to Lenz's law self-inductance: XL = 2π · f · L. Unlike capacitors, inductive reactance rises linearly with frequency.

What does the RL time constant represent?

The RL time constant τ = L / R is the time needed for coil current to build up to 63.2% of its steady-state Ohm's Law maximum after voltage is applied.