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A solution of an electrodynamics problem regarding determination of the signal from a pickup coil with a cylindrical specimen having varying magnetic permeability that is placed into the coil is obtained as a function of the polar coordinate. The case of an alternating homogeneous field is considered. Computational models are suggested for studying the experimental dependences; these models allow one to make conclusions on the regularities of changes in the magnetic permeability in alternating fields. The appropriate plots are presented. [ABSTRACT FROM AUTHOR]