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KAWASAKI STEEL TECHNICAL REPORT
No.39 ( October 1998 )
Electrical Steel
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Frequency Dependence of the Complex Initial Permeability of MnZn Ferrite

Satoshi Gotoh, Takashi Kawano, Naoki Soga
Synopsis:
The higher the real part of the complex initial permeability ƒΚifof MnZn ferrites is, the lower is the frequency at which it begins to fall. This phenomenon has been explained by the domain wall resonance or the rotational resonance. The authors analyzed the frequency dependence of the permeability by taking into account the behavior of the electromagnetic wave derived from the cross section radius r, the resistivity ƒΟ, and the complex permittivity ƒΓ. The typical measured ƒΚi, vs. frequency curve has a peak at a certain frequency fr, followed by a rapid fall. On the other hand, the resonant frequencies calculated from the rotational resonance and the domain wall resonance theory were much higher than the observed one. By considering the effect on the three parameters r, ƒΟ and ƒΓthe calculated curve reproduces the measured one which has a peak followed by a rapid fall. The frequency dependence of the ƒΚi is consequently determined by the individual sample dimensions and the macroscopic electromagnetic properties.
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