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Three Dimensional Electric Circuits with Multiple Capacitors and Resistors

Three Dimensional Electric Circuits with Multiple Capacitors and Resistors
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摘要 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. 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.
作者 Haiduke Sarafian Haiduke Sarafian(The Pennsylvania State University, University College, York, USA)
出处 《American Journal of Computational Mathematics》 2023年第3期379-386,共8页 美国计算数学期刊(英文)
关键词 3D Electric Circuits Capacitors Multiple Resistors Differential-Algebraic Equations Computer Algebra System MATHEMATICA 3D Electric Circuits Capacitors Multiple Resistors Differential-Algebraic Equations Computer Algebra System Mathematica
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