Magnetic effective resistance

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 $C_\mathrm{M}$
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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 $r_\mathrm{M}$ and magnetic current squared $I_{\mathrm {M} }^{2}$ .

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

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 $g_{\mathrm {M} }$ by the expression

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

where $z_\mathrm{M}$ 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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