The vector field that describes the magnetic moment density in a material, defining its magnetic state.Magnetization is the vector field that quantifies the density of magnetic moments in a material, indicating how strongly a region is magnetized. It defines the magnetic state of a material, whether ferromagnetic (like iron), paramagnetic, or diamagnetic. Understanding magnetization is essential for designing magnets, data storage, and interpreting magnetic fields in astrophysical and laboratory plasmas.
The concept of magnetization was developed in the 19th century, with key contributions from James Clerk Maxwell, who unified electricity and magnetism, and later by Pierre Curie, who studied the temperature dependence of magnetic susceptibility.
Magnetization arises from the alignment of atomic or electronic magnetic moments, which can be intrinsic (electron spin) or orbital (electron motion). In ferromagnetic materials, exchange interactions align moments in domains, and an external field can reorient these domains, producing a net magnetization. The response of magnetization to an applied field is described by susceptibility, which varies with temperature and material structure.
Magnetization is exploited in hard drives, electric motors, transformers, and magnetic resonance imaging (MRI), where controlled magnetization patterns store or read information.
In a ferromagnetic material, magnetization can persist even after the external field is removed, which is why permanent magnets retain their strength for years.
| P_t | variable | Tangential pressure — pressure pascal |
| P_r | variable | Radial pressure — pressure pascal |
| M_e | variable | Magnetization of the medium — magnetization ampere per metre |
| B | variable | Magnetic field strength — magnetic flux density tesla |



















