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James Clerk Maxwell’s four elegant equations are the fundamental pillars of classical electromagnetism, beautifully unifying the concepts of electricity and magnetism into a single, coherent theory. They reveal how electric charges produce electric fields (Gauss’s Law) and how there are no isolated magnetic poles (Gauss’s Law for Magnetism). Faraday’s Law shows us that a changing magnetic field creates a swirling electric field, which is the principle behind electric generators.

Most profoundly, the Ampere-Maxwell Law completes the picture, demonstrating that a changing electric field can generate a magnetic field. This crucial addition predicted that these oscillating fields could support each other and travel through space as self-sustaining waves. Maxwell calculated their speed and found it to be the speed of light, leading to the revolutionary realization that light itself is an electromagnetic wave. This single insight unlocked the door to understanding the entire spectrum of radio, microwaves, and X-rays, forever changing our view of the universe.

11/06/2025

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