On Fallacies in the Inductive Approach to Teaching Electromagnetic Theory
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Abstract
Certain of logical and analytical fallacies in the inductive approach to teaching classical electromagnetics - as adopted in countless textbooks with pedagogical concerns - are outlined and criticized. They include the concept of point charge, derivation of boundary conditions by integration, definitions of perfect electric/magnetic conductors and work in presence of static fields in stationary media. These concepts and descriptions are clarified in the context of Hertzian Electrodynamics which serves as the main frame for describing macroscopic electromagnetic phenomena. Proper definitions and theorems for perfect electric/magnetic conducting media are provided and the origin of the formulas for work in presence of static fields are highlighted with reference to postulates and field equations of Hertzian Electrodynamics.
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