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IEVref:221-03-34ID:
Language:enStatus: Standard
Term: hysteresis core constant
Synonym1:
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Symbol: ηi
Definition: in a magnetic core operating in the Rayleigh region, the tangent of the magnetic loss angle due to hysteresis divided by the product of the peak current in, and the square root of the inductance L of, the measuring coil:

η i = tan δ h L MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeE7aOnaaBaaajeaybaGaaeyAaaqabaqcaaMaeyypa0JcdaWcaaqaaiGacshacaGGHbGaaiOBaiaaykW7caaMc8UaeqiTdq2aaSbaaKqaGfaacaGGObaabeaaaOqaaiaad6oadaGcaaqaaiaadYeaaSqabaaaaaaa@4566@

NOTE – The relation between the hysteresis material constant ηB and the hysteresis core constant is:

η i = η B μ 0 μ e 3 V e MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeE7aOnaaBaaajeaybaGaaeyAaaqabaGccqGH9aqpcqaH3oaAdaWgaaqcbawaaiGackeaaSqabaGcdaGcaaqaamaalaaabaGaeqiVd02aaSbaaKqaGfaacaaIWaaaleqaaOGaaGPaVlabeY7aTnaaDaaajeaybaGaciyzaaqaaiaaiodaaaaakeaacaWGwbWaaSbaaKqaGfaacaGGLbaabeaaaaaaleqaaaaa@479E@

where μe is the effective permeability and Ve the effective volume.


Publication date:1990-10
Source:
Replaces:
Internal notes:2017-02-27: Subscripts "i" and "B" made italic. See mail exchange with RS and JS 2016-01. JGO

2017-06-02: Cleanup - Remove Attached Image 221-03-341.gif

2017-06-02: Cleanup - Remove Attached Image 221-03-342.gif
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