Inductor Calculator — Free Inductance, Reactance & RL Time Constant Tool | AllInOneTools
⚡ Electrical & Energy

Inductor Calculator

Calculate inductance, inductive reactance, RL time constant, stored energy, and series/parallel combinations. Animated magnetic field visualization with full unit conversions.

Inductor & Frequency
mH
Hz
📊
Results
🔄
Unit Conversions

Inductor Calculator: How to Calculate Inductance, Reactance, Energy, and RL Time Constant

Inductors store energy in a magnetic field when current flows through them. They are essential in power supplies (filtering), radio circuits (tuning), motor drives, and switching regulators. Unlike resistors which dissipate energy as heat, inductors store and release energy — making them fundamental to energy conversion circuits. This guide covers every core calculation for working with inductors.

Core Inductor Formulas

Reactance: XL = 2πfL (ohms)
Energy: E = ½LI² (joules)
RL Time Constant: τ = L/R (seconds)
Series: L_total = L1 + L2 + L3
Parallel: 1/L_total = 1/L1 + 1/L2 + 1/L3
Q Factor: Q = XL/R = 2πfL/R

Inductors behave opposite to capacitors in many ways. While capacitors block DC and pass AC, inductors pass DC and block high-frequency AC. Inductive reactance (XL) increases linearly with frequency, which is why inductors are used in low-pass filters and power supply smoothing. The RL time constant (τ = L/R) determines how quickly current builds up — important for switching power supplies, relay circuits, and motor controls.

Energy stored in an inductor's magnetic field follows the formula E = ½LI², which is analogous to a capacitor's E = ½CV². When current through an inductor is suddenly interrupted, this stored energy can produce dangerous voltage spikes (back-EMF) — which is why flyback diodes are essential in relay and motor driver circuits. Understanding these principles is key to safe and effective inductor circuit design.

Frequently Asked Questions

How do you calculate inductive reactance?
XL = 2πfL. Example: 10mH at 1kHz = 2π × 1000 × 0.01 = 62.83Ω. Reactance increases with frequency — inductors block high frequencies and pass low frequencies/DC.
What is RL time constant?
τ = L/R. Time for current to reach 63.2% of final value. After 5τ = 99.3% (steady state). Example: 100mH with 10Ω → τ = 10ms, full current in ~50ms.
How to calculate inductor energy?
E = ½LI². Example: 10mH at 5A = 0.5 × 0.01 × 25 = 125mJ. Energy is in the magnetic field. Sudden current interruption releases this as voltage spikes — use flyback diodes for protection.
How do inductors combine?
Series: L_total = L1 + L2 (add up, like resistors in series). Parallel: 1/L_total = 1/L1 + 1/L2 (reciprocal, like resistors in parallel). Assumes no mutual coupling between inductors.
How to convert H, mH, µH, nH?
1H = 1,000mH = 1,000,000µH = 10⁹nH. Common: power inductors µH range, RF inductors nH range, filter chokes mH range, audio in H range.
What is inductor Q factor?
Q = XL/R = 2πfL/R. Measures how ideal the inductor is. Higher Q = lower losses. Air core Q=50-300, ferrite Q=20-100, iron core Q=5-20. Q varies with frequency.
What are the different inductor types?
Air core (RF, high Q, no saturation), Ferrite core (MHz range, compact), Iron core (power, highest inductance), Toroid (low EMI), Drum/bobbin (cheap, general). Choose based on frequency, current, and size needs.