Magnetic inductance

Magnetic Circuits
Conventional Magnetic Circuits Magnetomotive force $\mathcal F$ Magnetic flux $\Phi$ Magnetic reluctance $\mathcal R$
Phasor Magnetic Circuits Complex reluctance $Z_\mu$
Related Concepts Magnetic permeability $\mu$
Gyrator-capacitor model variables Magnetic impedance $z_M$ Effective resistance $r_M$ Magnetic inductivity $L_M$ Magnetic capacitivity $C_M$

Magnetic inductance is not to be confused with "Magnetic induction", which usually refers to Magnetic field.

Magnetic inductance (inductive magnetic reactance) (SI Unit: -Ω⁻¹) is a component in the gyrator-capacitor model for magnetic systems.

For phasor analysis the magnetic inductive reactance is:

$x_L = \omega L_M$

Where:

$L_M$ is the magnetic inductivity (SI Unit: -s·Ω^-1)

$\omega$ is the angular frequency of the magnetic circuit

In the complex form it is a positive imaginary number:

$jx_L = j\omega L_M$

The magnetic potential energy sustained by magnetic inductivity varies with the frequency of oscillations in electric fields. The average power in a given period is equal to zero. Due to its dependence on frequency, magnetic inductance is mainly observable in magnetic circuits which operate at VHF and/or UHF frequencies.

The notion of magnetic inductivity is employed in analysis and computation of circuit behavior in the gyrator-capacitor model in a way analogous to inductance in electrical circuits.

References

Pohl R. W. ELEKTRIZITÄTSLEHRE. – Berlin-Göttingen-Heidelberg: SPRINGER-VERLAG, 1960.
Popov V. P. The Principles of Theory of Circuits. – M.: Higher School, 1985, 496 p. (In Russian).