The Electric Field Outside and Inside a Resistive Spherical Shell Carrying a Steady Azimuthal Current

Abstract

We calculate the potential, electric field and surface charges outside and inside a resistive spherical shell carrying a steady azimuthal current. We obtain a timeindependent electric field different from zero in both regions.

The internal and external electric fields for a resistive toroidal conductor carrying a steady poloidal current

“…141-6]. We had also observed this oscillatory behavior in cases with finite geometry, like the toroid and the sphere with azimuthal currents, [13] and [14], respectively. The density of surface charges σ in the first case (straight cylinder) could be put in the closed form of a convergent function of the azimuthal coordinate ϕ:…”

“…The boundary condition, equation (13), states that the potential on the conductor surface does not depend on the coordinate ϕ. We should expect the same for the potential in all space, i.e.…”

“…In the other cases (toroid and sphere) there was no such solution in terms of closed form functions. In the cases of the toroid and sphere with azimuthal currents we adopted the following procedure in order to handle this series, equation (35) [13,14]. We calculated the mean value for a complete oscillation of the surface charge density.…”

“…Recently, there has been renewed interest in the electric field inside and outside stationary resistive conductors carrying steady currents. Some geometries have already been analyzed: coaxial cables, cylindrical shells, transmission lines, straight wires, conductor plates, straight strips, spherical shells and a toroidal conductor with azimuthal current [1, pp 125-30], [2, pp 318 and 509-511], [3,4], [5, pp 334 and 339-40], [6,7], [8, p 262], [9][10][11][12][13][14]. A thorough analysis of these cases can be found in [15].…”

Extending Weber's Electrodynamics to High Velocity Particles

“…Weber's electrodynamics has been shown to explain electromagnetic phenomena, such as longitudinal force inside electric wire [1,2], anomalous diffusion in plasmas [3], deriving gravitation from electromagnetism [4], electric and magnetic fields surrounding current [5,6], the London moment and Meissner effect of superconductivity [7], and electromagnetic induction [8,9], etc. Weber's electrodynamics has a much simpler form for particle-particle interaction than the popularly used Maxwell equations and Lorentz force [10].…”