Abstract

The paper considers the special case of a charged particle moving in a uniform electric field. Three formulations of the problem are compared, utilizing the Weber equation. and the new Gaussian equation. The critical difference is whether the force is defined in terms of absolute velocity (classical) or relative velocity (Weber and new Gaussian). The actual trajectory of the charged particle can be explained in two ways: if the force is a function of absolute velocity it is necessary to introduce a variable mass. However. if the force is a function of relative velocity the correct trajectory is predicted with a constant mass. Consequently. both the Weber Equation and the new Gaussian equation explain the experimental trajectories of charged particles in a uniform electric field with a mass which does not vary.