This article studies the different magnetic behaviors that can appear in a material. It represents a theoretical modeling of the purely magnetic properties that are due to the macroscopic magnetic field existing outside the materials, and also to the internal and intrinsic properties of these materials that are related to the presence of spin and of magnetic moments in their volume.

In the first place, the description of macroscopic magnetism, or macromagnetism, is essential in order to understand the functioning of the device and the work equipment. This step is treated by modeling the macroscopic magnetic field created by the electromagnet at any point in space. Through this step we get to know better the magnetization and magnetic susceptibility that are generated by the external magnetic field.

In a second step, the modeling is dedicated to the micromagnetism which describes the magnetic behavior within the materials, by the knowledge of the distribution of the spins and the magnetic moments in all the space of the interior of the materials to be studied.