Magnetic inductance

Magnetic Circuits
Conventional Magnetic Circuits Magnetomotive force $\mathcal F$ Magnetic flux Φ Magnetic reluctance $\mathcal R$
Phasor Magnetic Circuits Complex reluctance Zμ
Related Concepts Magnetic permeability μ
Gyrator-capacitor model variables Magnetic impedance zM Effective resistance rM Magnetic inductivity LM Magnetic capacitivity CM

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 = ωL_M

Where:

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

ω is the angular frequency of the magnetic circuit

In the complex form it is a positive imaginary number:

jx_L = jωL_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

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