How to Use the Inductance Converter
The Inductance Converter converts units with verified mathematical precision. Follow these steps to perform your calculation:
- Enter Your Source Value: Supply your numerical measurement into the input field above. Standard reference benchmarks are prefilled by default.
- Instant 64-Bit Conversion: The tool converts your input in real time using high-precision floating-point arithmetic without page reloads.
- Inspect Detailed Working: Review the converted value, algebraic multiplication formula, and comprehensive benchmark table below.
The Physical Principles & Metrological Standards of Electrical Inductance
Inductance is the property of an electrical conductor or coil by which a change in current induces an opposing electromotive force (counter-EMF), storing energy in an encircling magnetic field ($E = \frac{1}{2} L I^2$). In switching power supply inductors, buck/boost converters, radio frequency (RF) matching chokes, electric motor winding characterization, and audio crossovers, accurate inductance conversion across fractional SI units (pH, nH, µH, mH, H) prevents magnetic core saturation and power loss.
Within international metrology codified by the BIPM and CGPM, the coherent standard for electrical inductance is the Henry (H = 1 Wb/A = V·s/A), named in honor of American scientist Joseph Henry, defined as the inductance of an electrical circuit in which an electromotive force of one volt is induced when the electric current in the circuit varies at the uniform rate of one ampere per second ($V = -L \cdot di/dt$). Adherence to unified international definitions guarantees that scientific research, manufacturing tolerances, and commercial trade maintain absolute consistency across borders.
Inductance is governed by Faraday's Law of Electromagnetic Induction and Lenz's Law ($V_L = -L \frac{di}{dt}$):- SI Standard: Henry (H): One Henry represents an opposing potential of 1 Volt when current changes at 1 Ampere per second ($1\text{ H} = 1\text{ V}\cdot\text{s/A} = 1\text{ Wb/A}$). One Henry is a massive inductance, typically encountered in iron-core power transformers and filter chokes.
- Millihenry (mH): Common in audio speaker crossover networks, electromagnetic relays, motor windings, and AC line filter chokes ($1\text{ mH} = 10^{-3}\text{ H}$).
- Microhenry (µH): The universal standard for DC-DC buck/boost switching regulators, power chokes, and medium-wave radio circuits ($1\text{ \mu H} = 10^{-6}\text{ H} = 1,000\text{ nH}$).
- Nanohenry (nH): Utilized in VHF/UHF radio RF front-ends, Wi-Fi antenna matching networks, and high-speed PCB via parasitic trace inductances ($1\text{ nH} = 10^{-9}\text{ H}$).
- Stored Magnetic Energy: The magnetic energy stored in an energized inductor is $E_m = \frac{1}{2} L I^2$, dissipating into heat or spark discharge if current is interrupted abruptly.
Inductance Converter Reference Benchmark & Equivalence Table
The comparison matrix below summarizes verified electrical inductance units, standardized symbols, measurement system classifications, exact conversion multipliers relative to the SI base standard, and primary application domains:
| Inductance Unit | Symbol | System Classification | Equivalent in Henries (H) | Typical Application |
|---|---|---|---|---|
| Henry | H | Metric (SI Base) | 1.0 H | Utility power transformers, low-frequency filter chokes |
| Millihenry | mH | Electronics Standard | 0.001 H (10⁻³ H) | Audio loudspeaker crossovers, solenoid actuators, stepper motors |
| Microhenry | µH (uH) | Power Electronics | 0.000001 H (10⁻⁶ H) | Switching power supply buck/boost coils, EMI suppression beads |
| Nanohenry | nH | RF / High-Speed | 10⁻⁹ H (0.001 µH) | RF matching networks, Wi-Fi antenna tuning, PCB trace parasitic loop |
| Picohenry | pH | Integrated Circuits | 10⁻¹² H | Semiconductor wirebond parasitics, high-speed flip-chip packages |
| Abhenry | abH | CGS Electromagnetic | 10⁻⁹ H (1 nH) | Historic cgs electromagnetic definitions |
| Stathenry | statH | CGS Electrostatic | 8.98755 × 10¹¹ H | Theoretical electrostatic cgs conversion |
Notice how metric decimal prefixes (such as kilo-, mega-, milli-, and micro-) scale by integer powers of ten, while customary and imperial units rely on historical ratios. Maintaining 64-bit floating-point precision throughout conversion calculations ensures that minute laboratory quantities and massive industrial values retain their metrological accuracy.
Step-by-Step Worked Conversion Scenarios
To illustrate how electrical inductance conversions function in everyday scientific, industrial, and commercial contexts, review the three fully worked engineering scenarios below:
DC-DC Buck Converter Inductor: 47 µH to Millihenries and Nanohenries
Operational Scenario: A power supply hardware engineer selects a 47 µH power inductor for a 12V to 3.3V step-down regulator.
Step-by-Step Mathematical Calculation:
Step 1 (to mH): 47 µH ÷ 1,000 = 0.047 mH.
Step 2 (to nH): 47 µH × 1,000 = 47,000 nH.
Engineering Interpretation: A 47 µH inductor equals 0.047 mH or 47,000 nH.
Audio Speaker Passive Crossover Network: 2.2 mH to Henries and Microhenries
Operational Scenario: A loudspeaker crossover uses a 2.2 mH copper air-core inductor for the low-pass woofer filter.
Step-by-Step Mathematical Calculation:
Step 1 (to Henries): 2.2 mH ÷ 1,000 = 0.0022 H.
Step 2 (to µH): 2.2 mH × 1,000 = 2,200 µH.
Engineering Interpretation: A 2.2 mH crossover inductor equals 0.0022 Henries (2,200 µH).
High-Speed PCB Trace Parasitic Inductance: 12 nH to Microhenries
Operational Scenario: An RF engineer models the parasitic series inductance of a circuit board trace via measured at 12 nH.
Step-by-Step Mathematical Calculation:
Calculation: 12 nH ÷ 1,000 = 0.012 µH (or $1.2 \times 10^{-8}\text{ H}$).
Engineering Interpretation: A 12 nH trace parasitic corresponds to 0.012 µH.