Hernán Javier Herrera Suárez, Ramiro Uribe Kaffure, José Herman Muñoz Ñungo

Series and Parallel Connections: An Articulating Topic in Teaching Physics

Introduction

Series and parallel connections: an articulating topic in teaching physics . Unify series & parallel connections in physics education across domains like electromagnetism, fluids, and optics. This approach improves conceptual understanding and cross-domain transfer.

Abstract

The fragmented treatment of series and parallel connections across isolated chapters in university physics textbooks limits students' ability to recognize the deep conceptual structure shared by these configurations. To address this issue, we conducted a systematic review of 11 widely used textbooks, peer-reviewed literature, and large language models (ChatGPT and DeepSeek), identifying 15 physical devices that admit series and parallel configurations across multiple physics domains: electromagnetism, oscillations and waves, fluid mechanics, thermodynamics, geometrical optics, and classical mechanics. We propose treating these connections as a unifying theme in university-level physics education, grounded in four fundamental conservation principles: energy, mass, charge, and linear momentum. To this effect, we present a constructivist instructional sequence, structured around the POSSE methodology and PhET interactive simulations, designed for introductory and intermediate physics courses without the need for curricular restructuring. This integrative approach allows students to transfer a single conceptual framework across physics domains, replacing fragmented procedural learning with meaningful cross-domain understanding. Additionally, we derive a new general expression for the equivalent mass of n + 1 identical masses suspended from n pulleys in series, extending previous treatments beyond low-order cases. We also demonstrate that it is impossible for any pair of physically admissible devices to yield the same equivalent quantity in both series and parallel configurations, reflecting the fundamentally distinct algebraic structures for each connection type.

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