Oliver Heaviside

Name: Electromagnetic waves, the propagation of potential, and the electromagnetic effects of a moving charge
Author: Oliver Heaviside

Electromagnetic waves, the propagation of potential… (1894)

Summary

“Electromagnetic waves, the propagation of potential, and the electromagnetic effects of a moving charge”, published in 1894, is a work by Oliver Heaviside. It explores elements such as displacement, speed and medium.

Quotes from Electromagnetic waves, the propagation of potential… (Oliver Heaviside)

Oliver Heaviside, Electromagnetic waves, the propagation of potential… (1894)

“ Taking the second point first, it is, I think, clear that if by the propagation of vector-potential is to be understood that of electric and magnetic disturbances, it is merely the mode of expression that is in question. I am myself accustomed to mentally picture the electric and magnetic forces or fluxes, and their propagation, which takes place at the speed of light or thereabouts, because they give the most direct representation of the state of the medium, which, I think, must be agreed is the real physical subject of propagation. ”

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Source: Wikisource

Oliver Heaviside, Electromagnetic waves, the propagation of potential… (1894)

“ As the distribution of displacement varies, its time-variation is the electric current, with determinable magnetic force to match. When the speed of motion is a small fraction of that of light, we may regard the displacement as having at every moment its proper steady distribution, so that there is no difficulty in estimating the magnetic effects, except, it may be, of a merely mathematical character. ”

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Source: Wikisource

Oliver Heaviside, Electromagnetic waves, the propagation of potential… (1894)

“ If we terminate the field described in (A) and (B) on a spherical surface of radius a, instead of continuing it up to the charge q at the origin, we have the case of a perfectly conducting sphere of radius a possessing a total charge q, moving steadily at speed u through the dielectric ether. As the speed is increased to v, the charge all accumulates at the equator of the sphere. [See footnote on p. 514, later.]
But after that? This brings us to the third case of u>v, and here I have so-far failed to find any solution which will satisfy all the necessary conditions without unreality. ”

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Source: Wikisource

Oliver Heaviside, Electromagnetic waves, the propagation of potential… (1894)

“ But if the moved dielectric have the same electric permittivity as the surrounding medium, so that there is no difference made in the steady distribution, the question which may be now raised as to the possible production of transient disturbances is one to which the above theory does not present any immediate answer. I believe that the body will be magnetized transversely to the electric displacement and the velocity. [The motional magnetic force is referred to.] ”

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Source: Wikisource

Oliver Heaviside, Electromagnetic waves, the propagation of potential… (1894)

“ Those who are acquainted with my papers in this journal will recognise that what we have arrived at is simply the elementary plane wave travelling along a distortionless circuit. All roads lead to Rome! ”

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Source: Wikisource

Oliver Heaviside, Electromagnetic waves, the propagation of potential… (1894)

“ All disturbances being propagated through the dielectric ether at the speed of light, when, therefore, a charge is in motion through the medium, the discussion of the effects produced naturally involves the consideration of three cases, those in which the speed u of the charge is less than, or equal to, or greater than v, that of light. ”

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Source: Wikisource

Oliver Heaviside, Electromagnetic waves, the propagation of potential… (1894)

“ There is a potential, of a peculiar kind. The displacement due to the moving charge is distributed in precisely the same way as if it were at rest in an eolotropic medium, whose permittivity is c in all directions transverse to the line of motion, but is smaller, viz., c (1-u2/v2) , along that line and parallel to it. The potential P is given by
It is a particular case of eolotropy. ”

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Source: Wikisource

Oliver Heaviside, Electromagnetic waves, the propagation of potential… (1894)

“ II., Art. L.] , and an example of the use of (4) and (5) in The Electrician, April 12, 1889, p. 683 [vol. II., Art. LI.] .) The mechanical force called by Maxwell the "electromagnetic force" is VCB, where C is the true current and B the induction. It is the force on the matter supporting electric current. Let it move. If w is its velocity, the activity of the force is
Similarly, as I obtained in Section XXII. above referred to, there is a mechanical force (the magneto-electric) on matter supporting magnetic current G=μpH/4π, expressed by 4πVDG, and its activity is ”

Oliver Heaviside

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