Three Dimensional Electric Circuits with Multiple Capacitors and Resistors ()
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.
Share and Cite:
Sarafian, H. (2023) Three Dimensional Electric Circuits with Multiple Capacitors and Resistors.
American Journal of Computational Mathematics,
13, 379-386. doi:
10.4236/ajcm.2023.133021.
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