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Magnetic impedance

 
Wikipedia: Magnetic impedance
Magnetic Circuits

Convetional 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 impedance (SI Unit: -Ω-1) is the ratio of a sinusoidal magnetic tension Nm to a sinusoidal magnetic current IMm 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:

rM = zMcosφ, the effective magnetic resistance (real)
xM = zMsinφ, 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.

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