Magnetic complex reluctance (SI Unit: H−1) is a measurement of a passive magnetic circuit (or element within that circuit) dependent on sinusoidal magnetomotive force (SI Unit: At·Wb−1) and sinusoidal magnetic flux (SI Unit: T·m2), and this is determined by deriving the ratio of their complex effective

As seen above, magnetic complex reluctance is a phasor represented as uppercase Z mu where:

• represent the magnetomotive force (complex effective amplitude)

• represent the magnetic flux (complex effective amplitude)

• , lowercase z mu, is the real part of magnetic complex reluctance

The "lossless" magnetic reluctance, lowercase z mu, is equal to the absolute value Where:

• is the imaginary number

• is the phase of the magnetomotive force

• is the phase of the magnetic flux

• is the phase difference

The "lossy" magnetic complex reluctance represents a magnetic circuit element's resistance to not only magnetic flux but also to changes in magnetic flux. When applied to harmonic regimes, this formality is similar to Ohm's law Where:

• is the length of the circuit element

• is the cross-section of the circuit element

• is the complex magnetic permeability

References

• Bull B. K. The Principles of Theory and Calculation of the Magnetic Circuits. – M.-L.: Energy, 1964, 464 p. (In Russian).

• Arkadiew W. Eine Theorie des elektromagnetischen Feldes in den ferromagnetischen Metallen. – Phys. Zs., H. 14, No 19, 1913, S. 928–934.

• Küpfmüller K. Einführung in die theoretische Elektrotechnik, Springer-Verlag, 1959.