inductance converter
Unit Converters
V
=
L
×
dI
dt
L
=
μ × N2 × A
l
- L (Inductance): Measured in Henrys (H).
- μ (Mu): Permeability of the core material.
- N (Number of Turns): Total wire loops (squared).
- A (Area): Cross-sectional area in m².
- l (Length): Length of the coil in meters (m).
Inductance converter Table
| Unit | Henry (H) | mH | μH | nH |
|---|---|---|---|---|
| 1 Henry (H) | 1 | 1,000 | 1,000,000 | 999,999,999.9999999 |
| 1 mH | 0.001 | 1 | 1,000 | 1,000,000 |
| 1 μH | 0.000001 | 0.001 | 1 | 1,000 |
| 1 nH | 0.000000001 | 0.000001 | 0.001 | 1 |
What is inductance converter?
Inductance is a fundamental property of an electrical conductor that opposes any change in the electric current flowing through it. It is the magnetic equivalent of inertia in mechanics. An Inductance Converter is a mathematical tool used by engineers to calculate the storage of magnetic energy in a circuit or to convert between units such as Henrys (H), Millihenrys (mH), and Microhenrys (µH).
Understanding the Values
The Henry (H): Named after Joseph Henry, one Henry is the inductance of a closed circuit in which an electromotive force of one volt is produced when the electric current in the circuit varies uniformly at a rate of one ampere per second.
Permeability (µ): This value is usually a product of the permeability of free space (µ₀) and the relative permeability of the core (µᵣ). Using an iron core instead of air can increase inductance by thousands of times.
Self-Induction: The process where a changing current in a wire creates a magnetic field that "induces" a back-voltage in that same wire, fighting the change in current.
History and Origin
The history of the inductance converter is a story of two scientists working on opposite sides of the Atlantic Ocean in the early 19th century.
The Independent Discoveries (1830s)
In 1831, Michael Faraday in England and Joseph Henry in the United States independently discovered electromagnetic induction. While Faraday was the first to publish his results (leading to the unit of capacitance, the Farad, being named after him), Henry was actually the first to observe the phenomenon of "self-induction"—the property we now call inductance. He noticed that when he broke an electrical circuit, a large spark jumped across the gap, caused by the magnetic field collapsing back into the wire.
The Standardization of the Unit
For many years, there was no standard unit for this property. It was often measured in "quadrants" or "secohms." It wasn't until the International Congress of Electricians in Chicago in 1893 that the Henry was officially adopted as the unit of inductance to honor Joseph Henry’s work.
Modern Application
The ability to mathematically convert and calculate inductance was the key to developing radio technology. Every radio uses an LC circuit (Inductor-Capacitor), where the "tuning" of the radio is essentially a mathematical conversion of inductance to match a specific frequency. Today, these formulas are used to design everything from the wireless charging pads for your phone to the massive filtered power systems that stabilize the electrical grid.
Frequently Asked Questions
How accurate is this inductance converter tool?
Our tools utilize high-precision floating point math guaranteeing accuracy up to the 6th decimal place.
Is this free to use?
Yes, all converters and calculators on ToolsMetrics are 100% free with no limits.