The goal of the present paper is to derive the exact relativistic transformation for a magnetic dipole moment of a compact bunch of charges.
In the present paper, we will show that the determination of correct relativistic transformation for magnetic dipole moment requires to carry out a careful analysis of parameters of compact bunches of charges and the notion of magnetic dipole moment itself, as seen in different inertial reference frames.
The proper magnetic dipole moment of this circuit [m.
Now let us directly calculate the magnetic dipole moment of the circuit via Equation (5), which can be presented in the form convenient for further analysis:
In order to understand the origin of the indicated conflict among Equations (10a), (11a) and (15), we have to look closer at the definition of magnetization and magnetic dipole moment.
Thus it can be named as "configurational" definition, and below we supply the related vectors of magnetization and magnetic dipole moment by the subscript " c";
The magnetic potential and magnetic field produced by a dipole normal to the interface is proportional to the excess magnetic dipole moment, regardless of how those dipole moments are split microscopically on either side of the interface.
Se] (density of magnetic dipole moment per unit area) is located in a homogeneous medium of permeability [mu] at the plane z = 0.
Considering these conduction currents as excess currents, the excess magnetic dipole moment induced on the scatterer is
In free space, the excess magnetic dipole moment me and the net magnetic dipole moment [m.
i]), the same induced free surface current density on the scatterer and the same excess magnetic dipole moment [m.
In terms of the excess magnetic dipole moment, we have