Magnetic impedance

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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 $C_{M}$
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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:

$r_{M}=z_{M}\cos \phi$ , 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.

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Magnetic impedance

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References