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The magnetization of a material is defined as its magnetic moment per unit volume. [1]: 14 [2]: 1 Like the magnetic moment, it is a vector quantity and function of position, e.g., M(r). The total magnetic moment of a body is given by the integral over its volume: [3]: 411
As a magnetic moment per unit volume, magnetization is represented by the symbol M and has units of amperes per meter (A/m) in SI units (emu/cm3 in cgs units). Referred to as the magnetic polarization or intensity (J or I), it is measured in teslas in the SI system (but still emu/cm3 in cgs). It can also be given as magnetic moment per unit mass (M or σ) with units A m2 / kg in SI units. [4]