Magnetic effective resistance

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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 effective resistance (SI Unit: -Ω⁻¹) is the real component of complex magnetic impedance of a circuit in the gyrator-capacitor model. This causes a magnetic circuit to lose magnetic potential energy.^[1]^[2]^[3]

Active power in a magnetic circuit equals the product of magnetic effective resistance $r_{M}$ and magnetic current squared $I_{{M}}^{2}$ .

$P=r_{M}I_{{M}}^{2}$

The magnetic effective resistance on a complex plane appears as the side of the resistance triangle for magnetic circuit of an alternating current. The effective magnetic resistance is bounding with the effective magnetic conductance $g_{M}$ by the expression

$g_{M}={\frac {r_{M}}{z_{{M}}^{2}}}$

where $z_{M}$ is the full magnetic impedance of a magnetic circuit.

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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