Magnetic effective resistance

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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.


  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.