Magnetic impedance

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 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_M \cos \phi

, the effective magnetic resistance (real)

x_M = z_M \sin \phi

, the reactive magnetic resistance (imaginary)

The phase angle $\phi$ of the magnetic impedance is equal to:

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

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).
Küpfmüller K. Einführung in die theoretische Elektrotechnik, Springer-Verlag, 1959.

Magnetic impedance

See also

References