# Henry (unit)

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An inductor composed of a wire wound around a magnetic core used to confine and guide the induced magnetic field.

In physics, and electronics, the henry (symbol H) is the SI derived unit of inductance.[1] It is named after Joseph Henry (1797–1878), the American scientist who discovered electromagnetic induction independently of and at about the same time as Michael Faraday (1791–1867) in England.[2] The magnetic permeability of a vacuum is 4π×10−7 H/m (henry per meter).

The National Institute of Standards and Technology provides guidance for American users of SI to write the plural as henries.[3]:31

## Definition

If the rate of change of current in a circuit is one ampere per second and the resulting electromotive force is one volt, then the inductance of the circuit is one henry. Other equivalent combinations of SI units are as follows:[4]

$\mbox{H} = \dfrac{\mbox{m}^2 \cdot \mbox{kg}}{\mbox{C}^2} = \dfrac{\mbox{m}^2 \cdot \mbox{kg}}{\mbox{s}^{2} \cdot \mbox{A}^2} = \dfrac{\mbox{J}}{\mbox{A}^2} = \dfrac{\mbox{Wb}}{\mbox{A}} = \dfrac{\mbox{V} \cdot \mbox{s}}{\mbox{A}} = \dfrac{\mbox{s}^2}{\mbox{F}} = \Omega \cdot \mbox{s}$

where

A = ampere,
C = coulomb,
F = farad,
J = joule,
kg = kilogram,
m = meter,
s = second,
Wb = weber,
V = volt,
Ω = ohm.

## Notes and references

1. ^
2. ^ Herbert S. Bailey, Jr. "A Princeton Companion".
3. ^ Ambler Thompson & Barry N. Taylor (2008). NIST Special Publication 811: Guide for the Use of the International System of Units (SI). National Institute of Standards and Technology. Retrieved 2013-03-21.
4. ^ "Essentials of the SI: Base & derived units". The NIST Reference on Constants, Units and Uncertainty. National Institute of Standards and Technology.