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Using these mathematical principles, Maxwell began to create a formal structure for electromagnetic phenomena. His initial works likened electric and magnetic fields to incompressible fluids, leading to certain realizations about the nature of magnetic fields, which he concluded do not have isolated magnetic charges but always appear in pairs.
Evolution of Maxwell's Equations
Maxwell's early papers, particularly "On Faraday's Lines of Force," laid the groundwork for a systematic approach to electromagnetic theory. It wasn’t until 1861 that he integrated further mathematical insights, culminating in what would become the first two of his famous equations. However, these addressed only static electric and magnetic fields.