Electromagnetic Relations in a Single Coordinate System

Certain experimental phenomena, like the homopolar generator, whose analyses have caused confusion are shown to be understandably treated by the following: Use the differential form of Maxwell's four field relations together with the Lorentz force equation as the fundamental relations for treating all electromagnetic phenomena in the observer's coordinate system. The Lorentz force is considered to act on all of the charges in any material body moving in magnetic fields in these coordinates. Faraday's law ε = −dΦ/dt, becomes a derived through very useful relation. This system provides revealing Poynting vector for all steady-state energy conversions.