The Force Between Current Elements
Parry H. Moon
Domina Eberle Spencer
Arjan Sobhraj Mirchandaney
Uma Y. Shama
Philip J. Mann
Amp?re proposed an equation for the force between current elements in 1823. Gauss and Weber suggested equations for the force between moving charges which are derived from scalar potentials and are consistent with the Amp?re equation. Grassmann derived an alternative equation for the force between current elements in 1845, which is often called the Lorentz force. This paper derives a time-variant generalization of this equation. It also proposes a new equation for the force between current elements that satisfies the basic criteria suggested by Gauss and Hertz.
