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Electric and electronic circuit analysis with millman theorem

Vahé Nerguizian, Mustapha Rafaf, Chahé Nerguizian

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Abstract

In the electrical engineering curriculum, after circuit modeling, the analysis of a circuit is done using voltage-current Ohm law, Kirchhoff's laws and several theorems such as Thevenin, Norton and superposition. Moreover, to enhance the efficiency of the analysis, some methods and techniques such as voltage and current divider and mesh or node methods are used. In this paper the theorem of Millman is introduced in order to ease the analysis of some circuits and to verify the results with a second mean or tool. The application of this theorem is specifically interesting for circuits containing operational amplifiers. The pedagogical goal of this analysis approach is to give the students another tool to improve and verify the analysis of electric and electronic circuits.

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What this paper is about

In the electrical engineering curriculum, after circuit modeling, the analysis of a circuit is done using voltage-current Ohm law, Kirchhoff's laws and several theorems such as Thevenin, Norton and superposition. Moreover, to enhance the efficiency of the analysis, some methods and techniques such as voltage and current divider and mesh or node methods are used. In this paper the theorem of Millman is introduced in order to ease the analysis of some circuits and to verify the results with a second mean or tool. The application of this theorem is specifically interesting for circuits containing operational amplifiers. The pedagogical goal of this analysis approach is to give the students another tool to improve and verify the analysis of electric and electronic circuits.

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Available abstract

In the electrical engineering curriculum, after circuit modeling, the analysis of a circuit is done using voltage-current Ohm law, Kirchhoff's laws and several theorems such as Thevenin, Norton and superposition. Moreover, to enhance the efficiency of the analysis, some methods and techniques such as voltage and current divider and mesh or node methods are used. In this paper the theorem of Millman is introduced in order to ease the analysis of some circuits and to verify the results with a second mean or tool. The application of this theorem is specifically interesting for circuits containing operational amplifiers. The pedagogical goal of this analysis approach is to give the students another tool to improve and verify the analysis of electric and electronic circuits.

Key concepts: Thévenin's theorem, Electronic circuit, Network analysis, Computer science, Nodal analysis, Superposition principle, Electrical engineering, Electronics

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