Analyzing Electric Circuits with Computer Algebra ()
ABSTRACT
This report shows how starting from classic electric
circuits embodying commonly electric
components we have reached semi-complicated circuits embodying the same
components that analyzing the signal characteristics requires a Computer
Algebra System. Our approach distinguishes itself from the electrical
engineers’ (EE) approach that relies on utilizing commercially available
software. Our approach step-by-step shows how Kirchhoff’s rules are applied
conducive to the needed circuit information. It is shown for the case at hand
the characteristic information is a set of coupled differential equations and
that with the help of Mathematica numeric solutions are sought. Our
report paves the research road for unlimited creative similar circuits with any
degree of complications. Occasionally, by tweaking the circuits we have
addressed the “what if” scenarios widening the scope of the investigation.
Justification of the accuracy of our analysis for the generalized circuits is
cross-checked by arranging the components symmetrizing the circuit leading to
an intuitively predictable reasonable result. Mathematica codes are
embedded assisting the interested reader in producing and extending our
results.
Share and Cite:
Sarafian, H. (2023) Analyzing Electric Circuits with Computer Algebra.
American Journal of Computational Mathematics,
13, 91-98. doi:
10.4236/ajcm.2023.131003.
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