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The unit for magnetic moment in International System of Units (SI) base units is A⋅m 2, where A is ampere (SI base unit of current) and m is meter (SI base unit of distance). This unit has equivalents in other SI derived units including: [3] [4]
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 n̂, d is the dipole moment between two point charges, the volume density of these is the polarization density P.
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.
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/T L 2 I: vector Magnetization: M: Amount of magnetic moment per unit volume A/m L −1 I: vector field Momentum: p →: Product of an object's mass and velocity kg⋅m/s L M T −1 ...
Magnetic moment strength (from lower to higher orders of magnitude) Factor (m 2 ⋅A) Value Item 10 −45: 9.0877 × 10 −45 m 2 ⋅A [1] Unit of magnetic moment in the Planck system of units. 10 −27: 4.330 7346 × 10 −27 m 2 ⋅A: Magnetic moment of a deuterium nucleus 10 −26: 1.410 6067 × 10 −26 m 2 ⋅A: Magnetic moment of a proton ...
In Cartesian coordinates, the Lagrangian of a non-relativistic classical particle in an electromagnetic field is (in SI Units): = ˙ + ˙ where q is the electric charge of the particle, φ is the electric scalar potential, and the A i, i = 1, 2, 3, are the components of the magnetic vector potential that may all explicitly depend on and .
Many times in the use and calculation of electric and magnetic fields, the approach used first computes an associated potential: the electric potential, , for the electric field, and the magnetic vector potential, A, for the magnetic field. The electric potential is a scalar field, while the magnetic potential is a vector field.
The potential magnetic energy of a magnet or magnetic moment in a magnetic field is defined as the mechanical work of the magnetic force on the re-alignment of the vector of the magnetic dipole moment and is equal to: = The mechanical work takes the form of a torque : = = which will act to "realign" the magnetic dipole with the magnetic field.