Magnetic impedance

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
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Magnetic impedance (SI Unit: -Ω⁻¹) is the ratio of a sinusoidal magnetic tension N_m to a sinusoidal magnetic current I_Mm in a gyrator-capacitor model. Analogous to electrical impedance, magnetic impedance is likewise a complex variable.

$z_M = \frac{N}{I_M} = \frac{N_m}{I_{Mm}}$

Magnetic impedance is also called the full magnetic resistance. It is derived from:

r_M = z_Mcos ϕ, the effective magnetic resistance (real)

x_M = z_Msin ϕ, the reactive magnetic resistance (imaginary)

The phase angle ϕ of the magnetic impedance is equal to:

$\phi = \arctan {\frac{x_M}{r_M}}$

References

• Pohl R. W. ELEKTRIZITÄTSLEHRE. – Berlin-Gottingen-Heidelberg: SPRINGER-VERLAG, 1960.
• Popov V. P. The Principles of Theory of Circuits. – M.: Higher School, 1985, 496 p. (In Russian).
• Küpfmüller K. Einführung in die theoretische Elektrotechnik, Springer-Verlag, 1959.