Definition:Inductance

Definition

Inductance is the property of an electrical conductor by which a change in electric current through it induces an electromotive force in both the conductor itself and also in any nearby conductors.

Symbol

The usual symbol used to denote inductance is $L$.

Dimension

The dimension of measurement of inductance is $\mathsf {M L^2 T^{-2} I^{-2} }$.

This arises from its definition as magnetic flux per unit current:

$\dfrac {\mathsf {M L^2 T^{-2} I^{-1} } } {\mathsf I}$

Unit

The SI unit of inductance is the henry $\mathrm H$:

$1 \, \mathrm H = 1 \, \mathrm {Wb} \, \mathrm A^{-1}$

In the CGS unrationalised electromagnetic system, the base unit of inductance is the abhenry $\mathrm {abH}$.

Conversion Factors

\(\ds \)

\(=\)

\(\ds 1\)

henry

\(\ds \text {corresponds to}\)

\(\)

\(\ds 10^9\)

abhenry (or e.m.u. of inductance)

\(\ds \text {corresponds to (approximately)}\)

\(\)

\(\ds \dfrac 1 9 \times 10^{-11}\)

e.s.u. of inductance

Also see

• Results about inductance can be found here.

Sources

• 1969: J.C. Anderson, D.M. Hum, B.G. Neal and J.H. Whitelaw: Data and Formulae for Engineering Students (2nd ed.) ... (previous) ... (next): $1.$ Units and Abbreviations: $1.2$ SI units $(2)$ Derived units