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Force exerted by a moving electric current on a stationary or co-moving charge: Maxwell’s theory versus relativistic electrodynamics

The force exerted by a slowly moving current-carrying loop on a stationary or co-moving charge is derived within two distinct frameworks: Maxwell’s electrodynamics classically interpreted (operating in the Galilean space and time) and relativistic electrodynamics (operating in Minkowski space-time). A comparison between the ‘classical Maxwellian’ and relativistic solutions is presented, offering some intriguing insights that have been neglected in earlier discussions of the issue.