Visualization of Theoretical Frameworks in Fundamental Electromagnetics Education

The paper presents an innovative approach to the visualization of theoretical frameworks in electromagnetics education, aimed at enhancing learning outcomes. Relationships among physical quantities and fundamental equations in electromagnetism are visually represented. Through this method, connections between electrostatic, magnetostatic, and time-varying fields are systematically mapped out, with an emphasis on duality, unit consistency, and dimensional analysis. The visualization framework is designed to aid students in understanding Maxwell's equations by organizing complex concepts into a two-dimensional structure that highlights the relations on key variables and fundamental equations. A "Trinity Memorization" strategy is also proposed to strengthen long-term memory retention, integrating mathematical consistency, theoretical rationality, and dimensional coherence. The layout is governed by rules based on the properties of physical quantities, such as their association with electric or magnetic fields, and whether they are “intensive” or “extensive” variables. Symmetry and duality in the equations are also emphasized, allowing learners to better grasp the interconnected nature of the principles. It is argued that this method not only facilitates memory retention but also improves the understanding of electromagnetic field dynamics, providing a more intuitive approach to learning.