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Electromagnetic Field Theory

电磁场理论

The first physical theory whose basic object was the field rather than action at a distance, and the theoretical source of electrical power and radio.

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The theory that treats electricity and magnetism as one field. Ørsted saw a current deflect a compass needle in 1820, Faraday discovered induction in 1831, and in the 1860s Maxwell united electricity, magnetism and light in one set of field equations.

Date
1820–1865
Place
Copenhagen, London, Edinburgh
Civilisation
Western
Fields
Energy & Power, Natural Philosophy & Method

The velocity of transverse undulations in our hypothetical medium ... agrees so exactly with the velocity of light ... that we can scarcely avoid the inference that light consists in the transverse undulations of the same medium which is the cause of electric and magnetic phenomena.

—— James Clerk Maxwell, "On Physical Lines of Force", Part III, Philosophical Magazine, January 1862 (the inference is italicised in the original)
The iron ring and coils with which Faraday discovered electromagnetic induction on 29 August 1831, kept at the Royal Institution, London; photograph from a 1922 technical journal.
The iron ring and coils with which Faraday discovered electromagnetic induction on 29 August 1831, kept at the Royal Institution, London; photograph from a 1922 technical journal.public domain, via Wikimedia Commons source

History

Electromagnetic field theory treats electric and magnetic action as states of a field filling space, through which forces between bodies are transmitted. In July 1820 Hans Christian Ørsted of Copenhagen announced in a short Latin paper that a wire carrying a current deflects a nearby compass needle; within months André-Marie Ampère in Paris had measured the force between two currents and given it mathematical form. Michael Faraday, a blacksmith's son, served seven years as a bookbinder's apprentice from the age of fourteen and entered the Royal Institution by way of Humphry Davy's lectures. In 1821 he made a current-carrying wire revolve around a magnetic pole. On 29 August 1831, with two coils wound on an iron ring, he found that switching a current on or off in one coil produced a momentary current in the other, and that November he reported electromagnetic induction to the Royal Society. Faraday used almost no mathematics; he pictured electric and magnetic action spread through space along "lines of force". From 1855 James Clerk Maxwell put those lines into mathematics. In "On Physical Lines of Force" (1861–62) a model of molecular vortices gave a speed for electromagnetic disturbances almost identical to Fizeau's measured speed of light; "A Dynamical Theory of the Electromagnetic Field" (1865) dropped the mechanical model and gave complete field equations, and his Treatise followed in 1873. In 1887–88 Heinrich Hertz, at Karlsruhe, generated and detected electromagnetic waves with spark gaps.

Why it matters

Electromagnetism is often cited as the case where science ran ahead of technology: Faraday's induction preceded practical generators by decades, Maxwell's equations predicted electromagnetic waves, and wireless telegraphy arrived within a decade of Hertz's experiments. Yet technology shaped the science too. The voltaic pile supplied steady currents; the failure of the first transatlantic cable in 1858 pressed physicists to study signal transmission and electrical units, and Maxwell himself worked on the British Association's determination of a standard of resistance. The conceptual change went deeper. Since Newton the basic picture had been bodies acting on one another across empty space; field theory made space itself the bearer of energy and action, a road that relativity and quantum field theory continued. Of Faraday, Maxwell wrote in the preface to his Treatise that "his method of conceiving the phenomena was also a mathematical one, though not exhibited in the conventional form of mathematical symbols."

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