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In his theory, the longitudinal mass = and the transverse mass =, where is the Lorentz factor and is the rest mass of the electron. [5] The concept of (transverse) electromagnetic mass m T {\displaystyle m_{T}} , which was based on specific models of the electron, was later transmuted into the purely kinematical concept of relativistic mass ...
μ 0 is the permeability of space, which equals 4π×10 −7 T·m/A; B is the flux density, in T; The derivation of this equation is analogous to the force between two nearby electrically charged surfaces, [5] which assumes that the field in between the plates is uniform.
In atomic physics, the electron magnetic moment, or more specifically the electron magnetic dipole moment, is the magnetic moment of an electron resulting from its intrinsic properties of spin and electric charge. The value of the electron magnetic moment (symbol μ e) is −9.284 764 6917 (29) × 10 −24 J⋅T −1. [1]
For example, any electron's magnetic moment is measured to be −9.284 764 × 10 −24 J/T. [17] The direction of the magnetic moment of any elementary particle is entirely determined by the direction of its spin , with the negative value indicating that any electron's magnetic moment is antiparallel to its spin.
When the special case of the electromagnetic self-energy or self-force of charged particles is discussed, also in modern texts some sort of "effective" electromagnetic mass is sometimes introduced – not as an explanation of mass per se, but in addition to the ordinary mass of bodies. [B 6] Many different reformulations of the Abraham ...
Lorentz force on a charged particle (of charge q) in motion (velocity v), used as the definition of the E field and B field. Here subscripts e and m are used to differ between electric and magnetic charges. The definitions for monopoles are of theoretical interest, although real magnetic dipoles can be described using pole strengths.
The invariant mass of an electron is approximately 9.109 × 10 −31 kg, [80] or 5.489 × 10 −4 Da. Due to mass–energy equivalence, this corresponds to a rest energy of 0.511 MeV (8.19 × 10 −14 J). The ratio between the mass of a proton and that of an electron is about 1836.
is the gyromagnetic ratio for a particle of charge, [2] equal to , where is the mass of the precessing system, while is the g-factor of the system. The g -factor is the unit-less proportionality factor relating the system's angular momentum to the intrinsic magnetic moment; in classical physics it is 1 for any rigid object in which the charge ...