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In classical electromagnetism, magnetization is the vector field that expresses the density of permanent or induced magnetic dipole moments in a magnetic material. Accordingly, physicists and engineers usually define magnetization as the quantity of magnetic moment per unit volume. [1] It is represented by a pseudovector M.
The magnetization is the negative derivative of the free energy with respect to the applied field, and so the magnetization per unit volume is = , where n is the number density of magnetic moments. [1]: 117 The formula above is known as the Langevin paramagnetic equation.
where, is the magnetization of the material (the magnetic dipole moment per unit volume), measured in amperes per meter (SI units), and is the magnetic field strength, also measured in amperes per meter. Susceptibility is a dimensionless quantity.
Thus the volume magnetic susceptibility χ v and the magnetic permeability μ are related by the following formula: = (+). Sometimes [ 6 ] an auxiliary quantity called intensity of magnetization I (also referred to as magnetic polarisation J ) and with unit teslas , is defined as I = d e f μ 0 M . {\displaystyle \mathbf {I} \ {\stackrel ...
The magnetization of a magnetized material is the local value of its magnetic moment per unit volume, usually denoted M, with units A/m. [18] It is a vector field , rather than just a vector (like the magnetic moment), because different areas in a magnet can be magnetized with different directions and strengths (for example, because of domains ...
The magnetization vector field M represents how strongly a region of material is magnetized. It is defined as the net magnetic dipole moment per unit volume of that region. The magnetization of a uniform magnet is therefore a material constant, equal to the magnetic moment m of the magnet divided by its volume.
The volume charge density ρ is the amount of charge per unit volume (cube), surface charge density σ is amount per unit surface area (circle) with outward unit normal n̂, d is the dipole moment between two point charges, the volume density of these is the polarization density P.
(Mass) Density (or volume density) ρ: Mass per unit volume kg/m 3: L −3 M: intensive Mean lifetime: τ: Average time for a particle of a substance to decay s T: intensive Molar concentration: C: Amount of substance per unit volume mol⋅m −3: L −3 N: intensive Molar energy: J/mol: Amount of energy present in a system per unit amount of ...