The inspection of the wear of steel cables is carried out by magnetic flaw detectors [1,2]. The principle of their operation is based on the electromagnetic induction phenomenon (eddy current method) or on the magnetic saturation method. In the first case, the cable is magnetized by a low frequency small amplitude alternating magnetic field (Rayleigh region) and the induced electromotive force (EMF) is read from the measuring coil of the gage of a flaw detector. In the second case, a cable is magnetized by magnets and the magnetic induction of the leakage field is recorded, e.g., by Hall effect devices. In magnetic flaw detectors both methods are used either separately or jointly. In addition, the eddy current method is basi cally used for testing the wear of cables, including corrosive wear, and the magnetic saturation method is used for testing the wear and breakage of cable wires. For example, the eddy current method is used in Dr. Brandt flaw detectors (Germany) or UDK 3 Triton-Electronics flaw detectors (State registration no. 18118), and the magnetic saturation method is used in Intron flaw detectors (Russia) [2].For the manufacture of steel cables, steels of different types are used, e.g., 6X19, 6X30, 18X19, steel 70, steel 80, and also others, which have a scatter of the relative amplitude magnetic permeability ( ) in the range of 30-60 [3,4]. In this case, the introduction of the concept of the relative amplitude magnetic per meability of steel cables is determined by the use of the eddy current method. With reference to ferromag netic objects that are exposed to weak alternating magnetic fields, the magnetic permeability can be eval uated from a minor dynamic hysteresis loop [5]. In this work we give an expression for the amplitude mag netic permeability in the CGS system of units, but already in the SI system it can be represented as the relative magnetic permeability:where μ 0 = 4π × 10 -7 H/m; and H A and B A are the amplitudes of the intensity and the induction of the alternating magnetic field, respectively.For practical purposes, in the above range of values magnetic flaw detectors are tuned and cali brated based on non operating sections of the cables.In industrial operating conditions the errors of a magnetic flaw detector inevitably increase due to the total actions of several factors, namely, dynamic loads on the cable, external electromagnetic distur bances, change of environmental humidity, etc. This leads to a decrease in the inspection efficiency of the state of steel cables, including that due to an increase in the probability of the occurrence of errors of the first or second kinds [6,7]. In the first case, a dangerous critical 25% wear level can be missed and the haz ard of cable breakage arises, which is related to human safety. In the second case, non defective cables can μ a Abstract-A physical model of the magnetic inspection process of steel cables, which is based on the linear approximation of the influence of the ratios (γ*) of effective external electromagnetic distur bances (no...