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On Physical Lines of Force : ウィキペディア英語版
On Physical Lines of Force
''On Physical Lines of Force'' is a famous four-part paper written by James Clerk Maxwell published between 1861 and 1862.〔http://www.manhattanrarebooks-science.com/maxwell.lines.of.force.htm〕 In it, Maxwell derived the equations of electromagnetism in conjunction with a "sea" of "molecular vortices" which he used to model Faraday's lines of force. Maxwell had studied and commented on the field of electricity and magnetism as early as 1855/6 when On Faraday's lines of force〔(On Faraday’s Lines of Force’ by James Clerk Maxwell 1855 )〕 was read to the Cambridge Philosophical Society. Maxwell made an analogy between the density of this medium and the magnetic permeability, as well as an analogy between the transverse elasticity and the dielectric constant, and using the results of a prior experiment by Wilhelm Eduard Weber and Rudolf Kohlrausch performed in 1856, he established a connection between the speed of light and the speed of propagation of waves in this medium.
The paper ushered in a new era of classical electrodynamics and catalyzed further progress in the mathematical field of vector calculus. Because of this, it is considered one of the most historically significant publications in the field of physics and of science in general, comparable with Einstein's ''Annus Mirabilis papers'' and Newton's ''Principia Mathematica''.
==Motivations==
In 1856, Wilhelm Eduard Weber and Rudolf Kohlrausch performed an experiment with a Leyden jar and established the ratio of electric charge as measured statically to the same electric charge as measured electrodynamically. Maxwell used this ratio in Isaac Newton's equation for the speed of sound, as applied using the density and transverse elasticity of his sea of molecular vortices. He obtained a value which was very close to the speed of light, as recently measured directly by Hippolyte Fizeau. Maxwell then wrote〔


"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"

It was also in this 1861 paper that Maxwell first introduced the displacement current term which is now included in Ampère's circuital law. But it wasn't until his next paper in 1864, A Dynamical Theory of the Electromagnetic Field that Maxwell used this displacement current term to derive the electromagnetic wave equation.
:\mathbf\times \mathbf = \mu_0\mathbf + \underbrace\mathbf}_\mathrm

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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