One of the most seen circumstances is the calculation of electrostatic potential and electric field in the symmetry axis of a centered ring and it has been extensively studied the potential off the axis of a charged ring centered within the origin coordinate. In this work, we calculated the electrostatic potential and electrical subject within the $z$ axis of a non centered charged ring using elliptic integrals as an pedagogical example of the appliance of particular features in electromagnetism.
An algorithm and spreadsheet for determining the power states of a one-dimensional stepped rectangular-sort nicely potential with infinite sides is described. The method is such that every student in a category could be assigned a novel homework downside which can be checked shortly by an instructor outfitted with the generic spreadsheet described herein. This paper offers a critical examination of the classical methodology of introducing the elecrtromagnetic potentials in a nonrelativistic context. It applies the nonretarded Helmholtz theorem to indicate that the standard technique is ambiguous, with that ambiguity being reflected within the gauge transformation equations. This ambiguity could be eliminated by rigorously invoking the Helmholtz decomposition theorem, but the course of exposes the inadequacy of the conventional process. It then reveals how the retarded Helmholtz theorem can be used to inspire rigorous definitions of the vector and scalar potentials and the sector variables based upon the present density as the only electrical source variable.
We present a simple but spectacular method of observing such an interference, using quite common continuous … Read More