TITLE:
Impact of the Evolution of a Curved Charge Distribution on Electric Field
AUTHORS:
Haiduke Sarafian
KEYWORDS:
Charge Distribution, Electric Field, Computer Algebra System, Mathematica, Maplesoft
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.12 No.4,
November
21,
2022
ABSTRACT: Theoretically,
it is plausible to assume for a chosen charge distribution the electric field
can be calculated. However, in practice depending on the geometry of the
distribution one faces mathematical challenges. In this research- oriented
project, we select a set of related familiar 2D geometric curves addressing the
mathematical issues. Specifically, we consider a family of curves that evolved
via step-by-step “evolution”. The
evolution begins from a segment of a circular arc to a complete circle. The
electric fields are formulated, evaluated, and graphed. Accomplishing these
objectives relied heavily on utilizing a Computer Algebra System (CAS),
specifically Mathematica [1]. The CPU’s expensive runtimes are circumvented by introducing
mathematical procedures.