Abstract <p>This article presents an analytical description of the anhysteretic magnetization curve of a ferromagnetic body. The dependence was obtained using the demagnetization factor of the body, which can be calculated based on its shape, along with a previously suggested equation for describing the anhysteretic magnetization curve of a ferromagnetic material in terms of its coercive force, saturation magnetization, and remanent magnetization. These magnetic parameters can be measured using standard methods with minimum relative error compared to other magnetic parameters of the material. The obtained dependence was used to analyze the influence of the relative length of cylindrical cores made of different soft magnetic materials on their anhysteretic magnetization curves. Combinations of parameters of the ferromagnetic body were established, depending on its demagnetizing factor and magnetic properties, which determine the variation of magnetization on the anhysteretic magnetization curve of the body.</p>