Magnetic methods for determining the structural-phase and stressed-strained states are based on measuring magnetic testing parameters (coercive force, residual magnetization, initial permeability, etc.) and the subsequent estimation of the inspected parameters (hardness, ultimate strength, level of internal stresses, etc.) of critical objects on their basis. Local measurements of magnetic parameters are most fre quently performed using attachable transducers. Coercimeters [1][2][3][4][5][6] and magnetic structuroscopes [7][8][9] are examples of such testing tools. A U shaped electromagnet with a magnetic flux sensor, which is built into it, usually serves as the measuring transducer. A loop flux gate [1, 2] or a Hall probe, which is placed in the magnet gap (e.g., КИФМ 1Х and КИМ 2М соеrcimeters) [1][2][3][4] or located near the magnetic core and registers the leakage flux [1,5], can be used as the magnetic flux sensor. In the case of a loop flux gate or a Hall probe near a magnetic circuit, the transducer-object combined circuit remains closed, but as a result of a nonlinear and ambiguous dependence of readings of such transducers on the flux value, they can be used only as null indicators. The cross section of the magnetic circuit leads to the opening of the transducer-object combined circuit, and as a result, the measured magnetic parameters will correspond to the magnetic properties of the body but not the substance [6,[9][10][11][12][13]. The residual magnetic induction measured in an open circuit becomes the measure of coercivity of the object material [9]. In all the men tioned cases, the value of the magnetic field in an object is evaluated on the basis of the current in magne tizing windings of an electromagnet.In contrast to the aforementioned instruments, the operation of magnetic multitesters (MMTs) and a multiparameter hardware-software system (SIMTEST) is based on the technique for measuring the mag netic flux in an article using a hole-transducer, which is made in the magnetic circuit of an electromagnet [14,15]. The special shape of the hole (a narrow slot that is perpendicular to the flux direction) provides proportionality between the field strength in the hole and the magnetic flux value in the combined circuit. The area of the slot is much smaller than that of the cross sectional area of the magnetic circuit; i.e., the transducer-object combined circuit remains closed. The value of the magnetic field in an object is evalu ated using the value of the tangential component of the magnetic field at the object surface in the interpole Abstract-Modeling and experimental studies of the spatial distributions of the field and flux inside and above the surface of ferromagnetic plates of different dimension types, which were locally magne tized by U shaped electromagnets, were performed. It was established that the location of a magnetic inhomogeneity in the interpole zone of an electromagnet substantially affects the results of a local measurement of the coercive force using a demagnetization current. ...