If a system of charges and currents besides the usual electric and magnetic (time-dependent) multipole moments does possess also time varying toroidal moments and distributions, there will be, in general, an additional angular momentum loss by the system through the radiation emitted by the toroidal sources. The classical electrodynamics formula for the rate of angular momentum loss by a time-dependent toroidal dipole is derived and discussed in connection with a forced precession of the toroidal dipole arround a given axis.
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Radescu et al. (1998) studied this question.
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