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On the electromagnetic force on a moving dipole

If a compact bunch of charged particles or current rings moves in an electromagnetic field, the force on the bunch gets an additional contribution which has a form of interaction between the electric dipole moment of a bunch and a magnetic field. This comes besides the relativistic transformation of the electric and magnetic dipole moments of a moving bunch, and possible combined effects are illustrated with simple examples. Si un ensemble compact de particules chargees ou d'anneaux de courant se deplace dans un champ electromagnetique, une force exercee sur cet ensemble a une composante supplementaire due a l'interaction entre le moment dipolaire electrique de l'ensemble et le champ magnetique. Ceci est accompagne de la transformation relativiste des moments dipolaires electrique et magnetique de l'ensemble. Ces deux effects sont illustres par des exemples simples.