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The Re-Collections of Daylight Dreamers: Faraday and Maxwell. Ari Margolin, HUEN 2130 October 15, 2013. Maxwell ’s Four Equations. Sir Isaac Newton in Press. Michael Faraday In His Laboratory (c. 1850). La R ègle du jeu. Newtonian Model. Maxwell (Faraday) Model. Energy Charge Momentum
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The Re-Collections of Daylight Dreamers: Faraday and Maxwell Ari Margolin, HUEN 2130 October 15, 2013
La Règle du jeu Newtonian Model Maxwell (Faraday) Model Energy Charge Momentum Wave Theory of Light Light as EM wave • Momentum • Force /Energy (Leibniz; Lagrange) • Charge (Coulomb) • Corpuscular Theory of Light • Electricity and Magnetism separate
Reading Faraday • “After the regular hours of business, [I] was chiefly employed in drawing and copying from the Artist's Repository, a work published in numbers which [I] took in weekly. ... Dr Watts's Improvements of the mind was then read and frequently took in his pocket, when [I] went an early walk in the morning, visiting some other works of art or searching for some mineral or vegetable curiosity. ... [My] mind ever engaged, besides attending to bookbinding which [I] executed in a proper manner.” – Faraday, 1813.
Annus Mirabilis (1820) Ørsted’s Experiment Biot-Savart Law (General Case for Ampère’s Law)
On “Faraday’s Law” (1831): • Any change in the magnetic environment of a coil of wire will cause a voltage (emf) to be "induced" in the coil. • Lines of Force permeated space. • Remembering Young’s Experiment: light travels along these lines!!!!
Of Dreamers and Poets “Rouse ye! torpid daylight-dreamers, cast your carking cares away! As calm air to troubled water, so my night is to your day; All the dreary day you labour, groping after common sense, And your eyes ye will not open on the night's magnificence. Ye would scow were I to tell you how a guiding radiance gleams On the outer world of action from my inner world of dreams.”
Maxwell, Defender of Faraday “Faraday discovered that when a plane polarized ray traverses a transparent diamagnetic medium in the direction of the lines of magnetic force produced by magnets or currents in the neighborhood, the plane of polarization is caused to rotate. The conception of the propagation of transverse magnetic disturbances to the exclusion of normal ones is distinctly set forth by Professor Faraday in his "Thoughts on Ray Vibrations." The electromagnetic theory of light, as proposed by him, is the same in substance as that which I have begun to develop in this paper, except that in 1846 there were no data to calculate the velocity of propagation.” --Maxwell, “A Dynamical Theory of the Electromagnetic Field”(1865).
Lines of Force to the Ether • Transverse waves must travel in a medium. • Maxwell discusses his EM theory in terms of fluid dynamics and specifically adds time component. • Faraday, however, believes EM waves can travel in a vacuum.