Interaction of moving charge and toroidal coil

In classical electromagnetics the interaction between charged particles and electric circuits in relative motion ought to conserve both momentum and energy. The paper examines a hypothetical `toroidal generator´ in which a charged particle is fired along the major axis and through a toroidal coil. By keeping the speeds low, and keeping the geometry simple, and by considering a resistive coil, it is possible to keep account of all the flows of energy and momentum, in and out of the components of the system and through the surrounding fields