Inductance Converter
Print pageAll Equivalents Reference Table
| Unit | Equivalent Value |
|---|
Inductance (also known as Self-Inductance, Magnetic Flux Linkage Rate per Ampere, Electromagnetic Inertia, or Current Opposition Reactance Factor, symbolized by L) measures the quantitative tendency of an electrical conductor, inductor coil, transformer winding, or choke to oppose changes in electric current by inducing a proportional counter-electromotive force (VL = -L · (dI ÷ dt) ⇒ L = Φ ÷ I = (N2 · μ · A) ÷ l = 2W ÷ I2, where VL is induced back-EMF in volts, I is current in amperes, Φ is total magnetic flux linkage in webers, N is coil turn count, μ is core magnetic permeability, A is cross-sectional area, l is coil magnetic length, and W is stored magnetic field energy in joules). Across sub-10nm RF microchip integrated spiral inductors, switch-mode power supply (SMPS) buck converter filter chokes, high-frequency PCB power plane decoupling, audio loudspeaker crossover filter networks, electric vehicle motor windings, and high-voltage grid substation transformers, inductance is categorized across four major engineering unit families: International System of Units (SI metric fundamental: Henry / H, Kilohenry / kH, Millihenry / mH, Microhenry / μH, Nanohenry / nH, Picohenry / pH, Femtohenry / fH, Weber per Ampere / Wb/A), CGS Electromagnetic System units (Abhenry / abH, EMU of Inductance), CGS Electrostatic System units (Stathenry / stH, ESU of Inductance), and Metric Prefixed Multiples (Gigahenry / GH, Megahenry / MH).
Our free online Inductance Converter provides instant, high-precision conversions across all SI metric, PCB surface mount, CGS electromagnetic, and power transformer inductance units:
- Weber per Ampere to Henry [SI Fundamental Identity]:
1 Wb/A = 1.0 Henry (H)(100% mathematically identical derived SI base unit). - Millihenry to Henrys & Microhenrys [Power Supply Standard]: Multiply mH by
0.001(1 mH = 0.001 H = 1,000.0 μH = 1.0 × 106 nH ⇒ 1 H = 1,000.0 mH). - Microhenry to Millihenrys & Nanohenrys [SMPS Buck Converter Standard]: Multiply μH by
0.000001(1 μH = 0.001 mH = 1,000.0 nF = 1.0 × 106 pH = 1,000.0 abH ⇒ 1 H = 1,000,000.0 μH). - Nanohenry to Microhenrys & Picohenrys [RF Choke Standard]: Multiply nH by
1.0 × 10-9(1 nH = 0.001 μH = 1,000.0 pH = 1.0 abH ⇒ 1 H = 1.0 × 109 nH). - Abhenry (abH / EMU) to Nanohenrys & Henrys [CGS Electromagnetic Standard]: Multiply abH by
1.0 × 10-9(1 abhenry = 1 EMU of inductance = 1.0 nH = 0.001 μH = 1.0 × 10-9 H ⇒ 1 H = 1,000,000,000.0 abH). - Stathenry (stH / ESU) to Henrys & Megahenrys [CGS Electrostatic Standard]: Multiply stH by
898,755,178,736.8(1 stathenry = 1 ESU of inductance = 8.98755 × 1011 H = 898.755 Gigahenrys GH ⇒ 1 H = 1.11265 × 10-12 stH). - Kilohenry to Henrys [Grid Transformer Standard]: Multiply kH by
1,000.0(1 kH = 1,000.0 H = 1.0 × 106 mH ⇒ 1 H = 0.001 kH).
Master Inductance Conversion Table
The table below displays exact mathematical conversion relationships, SI Henry (H) multipliers, and Microhenry (μH) equivalents relative to 1 Henry (1 H = 1.0 Wb/A = 1,000 mH = 1,000,000 μH = 109 nH = 109 abH):
| Inductance Unit Name | Symbol | Exact Value in Henrys (H) | mH, μH, nH & Abhenry (abH) Equivalent | Domain & Technical Application Standard |
|---|---|---|---|---|
| 1 Henry (Base SI Unit) | H, Wb/A |
1.0 H (Base SI Unit) |
1,000.0 mH (1,000,000.0 μF / 1.0 × 109 nH / 1.0 × 109 abH / 1.11265 × 10-12 stH) |
SI Fundamental Base Unit of Electrical Inductance & Flux Linkage |
| 1 Weber per Ampere | Wb/A |
1.0 H (Identical to Henry) |
1,000.0 mH (1.0 H / 1,000,000.0 μH / 1.0 × 109 nH) |
Direct Flux Linkage to Current Ratio Metric |
| 1 Kilohenry | kH |
1,000.0 H (103 H) |
1.0 × 106 mH (1,000.0 H / 1.0 × 109 μH / 1.0 × 1012 abH) |
Ultra-High Voltage Substation Power Grid Smoothing Reactor |
| 1 Millihenry | mH |
0.001 H (10-3 H) |
1,000.0 μH (1.0 mH / 1,000,000.0 nH / 1.0 × 106 abH) |
Audio Crossover Filters, Solenoids & Line Chokes |
| 1 Microhenry | μH |
1.0 × 10-6 H (10-6 H) |
0.001 mH (1,000.0 nH / 1,000.0 abH / 1.0 × 106 pH) |
SMPS Buck/Boost Power Converters & High-Current Inductors |
| 1 Nanohenry | nH |
1.0 × 10-9 H (10-9 H) |
0.001 μH (1,000.0 pH / 1.0 abH / 1.0 × 10-9 H) | RF Filters, High-Frequency Impedance Matching & SMT Chokes |
| 1 Picohenry | pH |
1.0 × 10-12 H (10-12 H) |
0.001 nH (0.001 abH / 1.0 × 10-6 μH / 1,000.0 fH) | Microchip Integrated On-Silicon Spiral Inductors & Parasitics |
| 1 Abohenry (EMU of Inductance) | abH, EMU |
1.0 × 10-9 H (1.0 nH) |
1.0 nH (0.001 μH / 1,000.0 pH / 1.0 abH) | CGS Electromagnetic System Inductance Unit (1 abH = 1 nH) |
| 1 Stathenry (ESU of Inductance) | stH, ESU |
8.98755179 × 1011 H |
898,755.18 MH (898.755 GH / 8.98755 × 1020 abH) | CGS Electrostatic System Inductance Standard Unit |
Step-by-Step SMPS Buck Converter & Power Transformer Inductance Calculation Example
To calculate the inductance (L) of an SMPS buck converter energy storage filter inductor carrying 22.0 Microhenrys (L = 22.0 μH), and calculate the primary winding inductance of a high-voltage utility power transformer measuring 10.0 Henrys (L = 10.0 H) into Henrys (H), Millihenrys (mH), Nanohenrys (nH), and Abohenrys (abH):
Step 1 (SMPS Inductor Conversion to Henrys): L = 22.0 μH × 1.0 × 10-6 = 0.0000220 Henrys (2.20 × 10-5 H)
Step 2 (SMPS Inductor Nanohenrys & Abohenrys): L = 22.0 μH × 1,000 = 22,000.0 Nanohenrys (22,000 nH) = 22,000.0 Abohenrys (22,000 abH)
Step 3 (Transformer Millihenrys Calculation): L = 10.0 H × 1,000 = 10,000.0 Millihenrys (10,000 mH)
Step 4 (Transformer Microhenrys & Stathenrys Conversion): L = 10.0 H × 1,000,000 = 10,000,000.0 μH; Lstat = 10.0 ÷ 8.98755179 × 1011 = 1.11265 × 10-11 Stathenrys (1.11265 × 10-11 stH)
Thus, the SMPS buck inductor holds a value of 22.0 μH (22,000 nH = 22,000 abH), while the power grid transformer primary measures a massive 10.0 H (10,000 mH = 10,000,000 μH).
Real-World Electronic Component & Power System Benchmarks
Below is a comparative reference chart showing inductance values (L) across microchips, RF chokes, SMPS supplies, audio filters, and power grid transformers:
| Electronic Component / Power System | Inductance in Henrys (H) | mH, μH, nH & abH Equivalent | Electrical Engineering & Circuit Context |
|---|---|---|---|
| Sub-10nm Microchip Integrated RF Spiral Inductor | 2.2 × 10-9 F (2.2 nH) | 2.2 nH (2,200.0 pH / 2.2 abH / 0.0022 μH) | On-chip silicon integrated RF transceiver matching inductor |
| PCB Surface Mount RF High-Frequency Choke (0402 Size) | 4.7 × 10-8 H (47 nH) | 47.0 nH (0.047 μH / 47.0 abH / 47,000.0 pH) | PCB surface-mount high-frequency noise suppression choke |
| SMPS Buck Converter Power Supply Filter Inductor | 2.2 × 10-5 H (22 μH) | 22.0 μH (0.022 mH / 22,000.0 nH / 22,000.0 abH) | DC-DC switching regulator energy storage inductor |
| Loudspeaker Audio Crossover Air-Core Low-Pass Coil | 0.0047 H (4.7 mH) | 4.7 mH (4,700.0 μH / 4,700,000.0 nH) | Hi-Fi speaker woofer passive crossover filter inductor |
| High-Voltage Substation Power Transformer Primary Winding | 10.0 H | 10,000.0 mH (1.0 × 107 μH / 1.11265 × 10-11 stH) | 500 kV electrical grid power transformer magnetizing inductance |
History & Physics: 1831 Joseph Henry vs Lenz’s Law Solenoid Formula (L = N2 · μ · A ÷ l)
1831 Joseph Henry & The Discovery of Self-Induction
In 1831, American scientist Joseph Henry discovered self-induction independently of Michael Faraday while experimenting with multi-turn insulated electromagnets. He observed that breaking an electric current through a long wire coil produced a bright high-voltage spark caused by self-induced back-EMF. In 1893, the International Electrical Congress officially named the SI unit of inductance the Henry (H) in his honor.
Lenz’s Law & Solenoid Self-Inductance Equation (L = N2 · μ · A ÷ l)
Formulated by Heinrich Lenz and derived from Faraday’s Law, self-inductance measures the back-EMF generated per rate of current change: VL = -L · (dI ÷ dt). For an ideal solenoid coil, self-inductance is calculated as: L = N2 · μ · (A ÷ l) (where N is turn count, μ = μ0 · μr is core magnetic permeability, A is cross-sectional area, and l is coil length). Because L scales quadratically with N2, doubling turn count quadruples inductance.
Popular direct tools:
Frequently Asked Questions (FAQ)
How do you convert Millihenrys (mH) to Microhenrys (μH)?
To convert Millihenrys to Microhenrys, multiply mH by 1,000. For example, 4.7 mH × 1,000 = 4,700.0 Microhenrys (4,700.0 μH).
How do you convert Nanohenrys (nH) to Microhenrys (μH)?
To convert Nanohenrys to Microhenrys, divide nH by 1,000 (multiply by 0.001). For example, 22,000 nH ÷ 1,000 = 22.0 Microhenrys (22.0 μH).
Is 1 Abohenry (abH) equal to 1 Nanohenry (nH)?
Yes! 1 Abohenry (abH), the unit of inductance in the CGS electromagnetic system, equals exactly 1 Nanohenry (1.0 nH = 1.0 × 10-9 H).
Is 1 Weber per Ampere (Wb/A) equal to 1 Henry (H)?
Yes! 1 Weber per Ampere (Wb/A) is 100% mathematically identical to 1 Henry (H) (1 H = 1 Wb/A).