Magnetic effective resistance

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 $C_M$

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.