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Roughly speaking, the magnetic field of a dipole goes as the inverse cube of the distance, and the force of its magnetic field on another dipole goes as the first derivative of the magnetic field. It follows that the dipole-dipole interaction goes as the inverse fourth power of the distance. Suppose m 1 and m 2 are two magnetic dipole moments ...
Monopole moments have a 1/r rate of decrease, dipole moments have a 1/r 2 rate, quadrupole moments have a 1/r 3 rate, and so on. The higher the order, the faster the potential drops off. Since the lowest-order term observed in magnetic sources is the dipole term, it dominates at large distances.
It is related to the prototypical Ising model, where at each site of a lattice, a spin {} represents a microscopic magnetic dipole to which the magnetic moment is either up or down. Except the coupling between magnetic dipole moments, there is also a multipolar version of Heisenberg model called the multipolar exchange interaction .
As such, the SI unit of magnetic dipole moment is ampere meter 2. More precisely, to account for solenoids with many turns the unit of magnetic dipole moment is ampere–turn meter 2. In the magnetic pole model, the magnetic dipole moment is due to two equal and opposite magnetic charges that are separated by a distance, d.
The magnetic moment, also called magnetic dipole moment, is a measure of the strength of a magnetic source. The "Dirac" magnetic moment , corresponding to tree-level Feynman diagrams (which can be thought of as the classical result), can be calculated from the Dirac equation .
Magnetic dipole transitions describe the dominant effect of the coupling of the magnetic dipole moment of the electron to the magnetic part of the electromagnetic wave. They can be divided into two groups by the frequency at which they are observed: optical magnetic dipole transitions can occur at frequencies in the infrared, optical or ...
Here, the electric quadrupole interaction is due to the 14 N-nucleus, the hyperfine nuclear spin-spin splitting is from the magnetic coupling between nitrogen, 14 N (I N = 1), and hydrogen, 1 H (I H = 1 ⁄ 2), and a hydrogen spin-rotation interaction due to the 1 H-nucleus. These contributing interactions to the hyperfine structure in 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.