Clerk Maxwell's electromagnetic theoryLorentz, H. A. (Hendrik Antoon)
Science
Clerk Maxwell's electromagnetic theory
Lorentz, H. A. (Hendrik Antoon)
Electromagnetic theory; Maxwell, James Clerk, 1831-1879
"If the medium," so we read in Maxwell, "instead of being a perfect
insulator, is a conductor, the disturbance" (viz. that which is produced
by an incident beam of light) "will consist not only of electric
displacements but of currents of conduction, in which electric energy is
transformed into heat, so that the undulation is absorbed by the
medium." After having stated in these words one of the most important
consequences drawn from his theory, Maxwell goes on to calculate the
coefficient of absorption as a function of the conductivity, and he
proceeds: "Gold, silver and platinum are good conductors, and yet, when
formed into very thin plates, they allow light to pass through them.
From experiments which I have made on a piece of gold leaf, it appears
that its transparency is very much greater than is consistent with our
theory, unless we suppose that there is less loss of energy when the
electromotive forces are reversed for every semi-vibration of light than
when they act for sensible times, as in our ordinary experiments." Later
researches have amply confirmed what Maxwell says here; obviously,
bodies, both conductors and dielectrics, behave in general differently
towards rapidly alternating electric forces and towards stationary ones.
Yet, Hagen and Rubens have been able to show that when, instead of
working with visible light, one uses infra-red rays of sufficiently
great wave-length, the properties of metals will, in the limit, exactly
conform to the theory, if we reckon with the ordinary conductivity.
Hagen and Rubens did not measure the amount of radiation that is
transmitted through a thin plate but the coefficient of reflexion of a
thick mirror. For the case of normal incidence, this coefficient and
therefore also the loss of energy, i.e. the quantity that is absorbed by
the mirror, can easily be calculated as a function of the conductivity.
For the residual rays of sylvin, whose wavelength is 12 μ, and for
silver, copper, gold and platinum, the absorbed energy was found to be
respectively 1·15, 1·6, 2·1 and 3·5 per cent, of the incident
energy, whereas it ought to have been 1·3, 1·4, 1·6, and 3·5 per
cent, according to the theoretical formula.
Public-domain text, read in full here on John Shaqi.
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