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The classical electromagnetic interaction of a point charge and a magnet isdiscussed by first calculating the interaction of point charge with a simplemodel magnetic moment and then suggesting a multiparticle limit. The DarwinLagrangian is used to analyze the electromagnetic behavior of the modelmagnetic moment (composed of two oppositely charged particles of different massin an initially circular orbit) interacting with a passing point charge. Thechanging mangetic moment is found to put a force back on a passing charge; thisforce is of order 1/c^2 and depends upon the magnitude of the magnetic moment.It is suggested that in the limit of a multiparticle magnetic toroid, theelectric fields of the passing charge are screened out of the body of themagnet while the magnetic fields penetrate into the magnet. This is consistentwith our understanding of the penetration of electromagnetic velocity fieldsinto ohmic conductors. Conservation laws are discussed. The work corresponds toa classical electromagnetic analysis of the interaction which is basic tounderstanding the controversy over the Aharonov-Bohm and Aharonov-Casher phaseshifts and represents a refutation of the suggestions of Aharonov, Pearle, andVaidman.Comment: 33 page

journal of physics. a, mathematical and general/journal of physics. a, mathematical and general

Darwin–Lagrangian analysis for the interaction of a point charge and a magnet: considerations related to the controversy regarding the Aharonov–Bohm and Aharonov–Casher phase shifts