Jefimenko’s Wedge Circuit

Electrical currents in resistive materials must be driven by an internal electric field E = J/ς , where J is the current density and ς is the electrical conductivity. The internal electric field must be shaped by an appropriate density σ of surface electrical charge. In practice, the surface charge density is quite small, and is often neglected in discussions of electrical currents. Some exceptions are [2, 3, 4, 5, 6, 7, 8, 9, 10]. Jefimenko [7] considered the circuit illustrated below, in which two resistive plates of width r0 are joined along one edge to form a wedge of angle 2α, with a battery of potential difference V0 connected between the outer edges of the plates.