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
The forces exerted by rays of light or heat are a special case of what
we call ponderomotive forces, i.e. of the forces with which the
electromagnetic field acts on material bodies. Maxwell showed how, in
general, these forces can be deduced from the values of the
electromagnetic energy corresponding to different positions of a system
of bodies, or from a consideration of certain stresses which exist in
the electromagnetic field and of which he taught us to determine the
direction and the intensity. Every student, even of rather elementary
physics, now knows that the mutual attraction of two conducting plates
between which there is a difference of potential, e.g. of the plates of
an absolute electrometer, may be considered as due to stresses along the
lines of force, that the same may be said of the attraction between a
magnetic pole and a piece of iron, and that in the case of an
electromagnetic motor we are concerned with the tangential stresses
acting at the surface of the revolving system. Here again there has been
a great deal of later development, but we continue to speak of
"Maxwell's stresses."
The notion of the electromagnetic momentum, which Maxwell seems not to
have had, though he was quite near it, has also proved very fruitful. A
beam of light has a definite momentum, much like a moving ball, and when
the beam is normally reflected by a mirror, so that the momentum is
inverted, we can deduce the force acting on the mirror from the change
of the momentum, exactly as we can do in the case of the ball or of a
stream of material particles.
In modern theory--I allude to the theory of relativity--one has found
good reasons for combining into one unity, which we call the
stress-energy-tensor, all these quantities of which I have spoken, viz.
the energy, the flow of energy, Maxwell's stresses and the
electromagnetic momentum. In Einstein's theory of gravitation this
tensor determines the gravitation field that is produced by an
electromagnetic system and in virtue of which such a system has an
influence on the motion of material particles, unfortunately much too
small to be observed.
I should be led too far astray if I dwelt on these questions, but what I
want to point out is this, that we could never have gone so far if we
had contented ourselves with the actions at a distance, if we had not
fixed our attention on the intervening medium, localizing the energy in
it and considering it as the seat of momenta and stresses which manifest
themselves in the observed motions of bodies. All these modern ideas
have their origin in Maxwell's work.
Public-domain text, read in full here on John Shaqi.
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