TITLE:
Three Dimensional Electric Circuits with Multiple Capacitors and Resistors
AUTHORS:
Haiduke Sarafian
KEYWORDS:
3D Electric Circuits, Capacitors, Multiple Resistors, Differential-Algebraic Equations, Computer Algebra System, Mathematica
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.13 No.3,
August
22,
2023
ABSTRACT: Two cubical 3D electric circuits with single and
double capacitors and twelve ohmic resistors are considered. The resistors are
the sides of the cube. The circuit is fed with a single internal emf. The
charge on the capacitor(s) and the current distributions of all twelve sides of
the circuit(s) vs. time are evaluated. The analysis requires solving twelve
differential-algebraic intertwined symbolic
equations. This is accomplished by applying a Computer Algebra System
(CAS), specifically Mathematica. The needed codes are included. For a
set of values assigned to the elements, the numeric results are depicted.