Exposing Circuit Theory Textbook Power Calculation Flaws and the Role of the Power Division Theorem

Author(s)	Prof. Dr. Kannan Perumal Subbiah
Country	India
Abstract	Standard electrical engineering curricula traditionally state that the Superposition Theorem cannot be directly applied to power evaluations due to the non-linear, quadratic nature of power expressions. This Correspondence addresses this long-standing pedagogical limitation by introducing a systematic allocation framework via the Power Division Theorem (PDT). By decomposing cross-product interaction terms, the PDT establishes that superposition principles can indeed govern individual power-sharing dynamics within linear networks. The proposed formulation linearly maps branch losses to respective source currents, resolving tracking ambiguities in multi-source configurations. The Power Division Theorem (PDT) overcomes traditional limitations in power analysis by demonstrating that source-to-load allocation via linear superposition is identical to direct calculation using the structural current ratio.
Keywords	Circuit theory, linear networks, loss allocation, Power Division Theorem, superposition.
Field	Engineering
Published In	Volume 8, Issue 4, July-August 2026
Published On	2026-08-02
DOI	https://doi.org/10.36948/ijfmr.2026.v08i04.85044

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