A Novel General-Purpose Theorem for the Analysis of Linear Circuits

A novel general-purpose theorem for the analysis of linear circuits is stated and proven in this brief. When applying the proposed theorem, any current (voltage) of interest is determined by finding first an equivalent voltage (current) and an equivalent resistance. Although two equivalent parameters have to be found to determine the variable of interest, these are evaluated in circuits that are simpler than the original one, thus resulting in a more straightforward analysis technique. Examples are provided to show the applicability and advantages of the proposed theorem.

Automated summary

The novel general-purpose theorem simplifies the analysis of linear circuits by finding equivalent parameters to determine the desired current or voltage, which are evaluated in simpler circuits than the original one. Examples are provided to demonstrate the applicability and advantages of the proposed theorem.