The quantum and classical equations are found which govern the motion
of toroidal moments in an external magnetic field. The concrete realiz
ation of toroidal moments of higher multipolarities is given, and it i
s shown how the toroidal moments interact with each other. We recover
the 3-dimensional analogue of the Aharonov-Casher effect. It turns out
that the toroidal moments should exhibit quantum scattering on the Co
ulomb centre.