Magnetic impedance

Magnetic circuits
Part of a series on
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 $z_\mathrm{M}$ Effective resistance $r_\mathrm{M}$ Magnetic inductivity $L_\mathrm{M}$ Magnetic capacitivity $C_\mathrm{M}$
Physics portal

Magnetic impedance (SI Unit: -Ω⁻¹) is the ratio of a sinusoidal magnetic tension $N_{\mathrm {m} }$ to a sinusoidal magnetic current $I_{\mathrm {Mm} }$ in a gyrator-capacitor model. Analogous to electrical impedance, magnetic impedance is likewise a complex variable.

z_{\mathrm {M} }={\frac {N}{I_{\mathrm {M} }}}={\frac {N_{\mathrm {m} }}{I_{\mathrm {Mm} }}}

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

r_{\mathrm {M} }=z_{\mathrm {M} }\cos \phi

, the effective magnetic resistance (real)

x_{\mathrm {M} }=z_{\mathrm {M} }\sin \phi

, the reactive magnetic resistance (imaginary)

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

\phi =\arctan {\frac {x_{\mathrm {M} }}{r_{\mathrm {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.

This article is issued from Wikipedia - version of the 10/11/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.

Magnetic impedance

See also

References