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The magnetic moment can be defined as a vector (really pseudovector) relating the aligning torque on the object from an externally applied magnetic field to the field vector itself. The relationship is given by: [ 1 ] τ = m × B {\displaystyle {\boldsymbol {\tau }}=\mathbf {m} \times \mathbf {B} } where τ is the torque acting on the dipole, B ...
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.
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. Since the SI unit of magnetic moment is A⋅m 2, the SI unit of magnetization M is ampere per meter, identical to that of the ...
Continuous charge distribution. 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 nĚ‚, d is the dipole moment between two point charges, the volume density of these is the polarization density P.
M is the magnetization of the material (the magnetic dipole moment per unit volume), with unit amperes per meter, and; H is the magnetic field strength, also with the unit amperes per meter. χ v is therefore a dimensionless quantity. Using SI units, the magnetic induction B is related to H by the relationship
Strength of a magnetic field A/m L −1 I: vector field Magnetic flux density: B: Measure for the strength of the magnetic field tesla (T = Wb/m 2) M T −2 I −1: pseudovector field Magnetic moment (or magnetic dipole moment) m: The component of magnetic strength and orientation that can be represented by an equivalent magnetic dipole: N⋅m ...
The magnetic moment of an object is an intrinsic property and does not change with distance, and thus can be used to measure "how strong" a magnet is. For example, Earth possesses an enormous magnetic moment, however we are very distant from its center and experience only a tiny magnetic flux density (measured in tesla ) on its surface.
In all units, it is convenient to employ two types of magnetic field, B and H, as well as the magnetization M, defined as the magnetic moment per unit volume. The magnetic induction field B is given in SI units of teslas (T). B is the magnetic field whose time variation produces, by Faraday's Law, circulating electric fields (which the power ...