Inductance & Magnetic Energy Calculator

Electromagnetism, Faraday's Law & Inductance Metrology

Inductance is the property of an electrical conductor that opposes changes in electric current by storing energy in a surrounding magnetic field:

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• Universal Inductance Conversion Formulas (BIPM Standards)**:

1 Henry (H) = 1 Wb/A = 1 V·s/A = 10^3 mH = 10^6\ μH = 10^9 nH = 10^12 pH

1 mH = 10^-3 H = 1,000\ μH = 10^6 nH

1 Stathenry (statH) = 8.987552 × 10^11 H | 1 Abhenry (abH) = 10^-9 H = 1 nH

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• Stored Magnetic Energy & Inductive Reactance Equations**:

E_magnetic = (1) / (2) L I^2 (Stored Energy in Joules, J)

X_L = 2π f L = ω L (AC Inductive Reactance in Ohms, Ω)

λ = N Φ = L × I (Total Magnetic Flux Linkage in Webers, Wb)

V_emf = -L (di) / (dt) (Faraday-Lenz Counter-EMF in Volts)

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• Standard Power Electronics & RF Benchmarks**:

• PCB Via Parasitic: 1.2 nH 1,200 pH X_L = 18.10\ Ω @ 2.4 GHz

• Buck Converter Choke: 10.0\ μH 0.010 mH X_L = 31.42\ Ω @ 500 kHz E = 45.0\ μJ

• Audio Crossover Choke: 2.2 mH 2,200\ μH X_L = 13.82\ Ω @ 1 kHz

• Grid Power Transformer: 10.0 H = 10,000 mH X_L = 3.77 kΩ @ 60 Hz E = 500.0 J

• Superconducting 3T MRI: 50.0 H E = 6.25 Megajoules (Stored)

How to Use This Calculator

Enter your Inductance Magnitude (L) (e.g. 10 in L), From Inductance Unit — choose from Microhenries (µH = 10⁻⁶ H - Power Converters), Millihenries (mH = 10⁻³ H - Audio Filters / Motors), Henries (H = Wb/A = V·s/A - SI Base Unit), To Inductance Unit — choose from Millihenries (mH), Microhenries (µH), Henries (H), Inductor Peak Current (I in Amperes) (e.g. 3.0 in A), Operating Frequency (f in Hz, e.g. 500 kHz) (e.g. 500000 in Hz), and Power Electronics & RF Benchmark — choose from Custom Inductance Component, DC-DC Buck Power Choke (10.0 µH @ 3A, 500 kHz) → 0.010 mH | Reactance X_L = 31.42 Ω | Energy E = 45.0 µJ, Hi-Fi Passive Crossover (2.2 mH @ 5A, 1 kHz) → 2,200 µH | X_L = 13.82 Ω | Energy E = 27.5 mJ. Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Multipliers to SI Base Unit Henries (H = Wb/A = V·s/A)

Worked Example

A power electronics engineer selecting a 10 µH SMD inductor for a 500 kHz buck converter carrying 3.0 Amps calculates that the inductor presents an AC reactance of 31.42 Ohms and stores 45.0 µJ of magnetic field energy during each switching cycle.

Understanding Your Result

Unit conversions are exact by definition within a given measurement system (e.g., 1 km = exactly 1,000 m). Cross-system conversions (metric to imperial) use defined exchange factors: 1 inch = exactly 2.54 cm; 1 pound = 0.45359237 kg. Round your converted result to match the precision of your original measurement — expressing more decimal places than your input justifies implies false accuracy. For regulatory, legal, or safety-critical applications, verify which measurement system is required by the applicable standard.