Magnetic effective resistance

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

1. Pohl R. W. ELEKTRIZITÄTSLEHRE. – Berlin-Gottingen-Heidelberg: SPRINGER-VERLAG, 1960.
2. Popov V. P. The Principles of Theory of Circuits. – M.: Higher School, 1985, 496 p. (In Russian).
3. Küpfmüller K. Einführung in die theoretische Elektrotechnik, Springer-Verlag, 1959.