Effective medium theory replaces a given fine-scale heterostructure with a homogeneous one in such a way that the physically measurable quantities, e.g. reaction fields and losses, remain approximately the same. This paper presents a peculiar case where the physical nature of the problem and the type of governing mathematical equations change upon homogenization. We consider a stratified nonlinear magnetic and conducting medium, where a low-frequency excitation induces eddy currents. It is

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... that this eddy current problem becomes, upone homogenization, mathematically equivalent to a magnetostatic one and takes eddy currents into account via a complex-valued nonlinear BH-curve. The homogenization procedure is demonstrated for a cylindrical laminated iron core. A high accuracy of homogenization, even for the local loss distribution, is demonstrated.