Magnetic impedance

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

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

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

${\displaystyle r_{\mathrm {M} }=z_{\mathrm {M} }\cos \phi }$, the effective magnetic resistance (real)

${\displaystyle x_{\mathrm {M} }=z_{\mathrm {M} }\sin \phi }$, the reactive magnetic resistance (imaginary)

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

${\displaystyle \phi =\arctan {\frac {x_{\mathrm {M} }}{r_{\mathrm {M} }}}}$

See also

• Magnetic complex impedance

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.