James Clerk Maxwell and Modern PhysicsGlazebrook, Richard
History
James Clerk Maxwell and Modern Physics
Glazebrook, Richard
Maxwell, James Clerk, 1831-1879; Physics -- History
Maxwell considered magnetic action as existing in the form of pressure
or tension, or more generally, of some stress in some medium. The
existence of a medium capable of exerting force on material bodies and
of withstanding considerable stress, both pressure and tension, is
thus a fundamental hypothesis with him; this medium is to be capable
of motion, and electro-magnetic forces arise from its motion and its
stresses.
Now, Maxwell’s fundamental supposition is that, in a magnetic field,
there is a rotation of the molecules continually in progress about the
lines of magnetic force. Consider now the case of a uniform magnetic
field, whose direction is perpendicular to the paper; we are to look
upon the lines of force as parallel strings of molecules, the axes of
these strings being perpendicular to the paper. Each string is supposed
to be rotating in the same direction about its axis, and the angular
velocity of rotation is a measure of the magnetic force. In consequence
of this rotation there will be differences of pressure in different
directions in the medium; the pressure along the axes of the strings
will be less than it would be if the medium were at rest, that in the
directions at right angles to the axes will be greater, the medium will
behave as though it were under tension along the axes of the molecules
under pressure at right angles to them. Moreover, it can be shown that
the pressure and the tension are both proportional to the square of the
angular velocity--the square, that is, of the magnetic force--and this
result is in accordance with the consequences of experiment.
More elaborate calculation shows that this statement is true generally.
If we draw the lines of force in any magnetic field, and then suppose
the molecules of the medium set in rotation about these lines of force
as axes, with velocities which at each point are proportional to the
magnetic force, the distribution of pressure throughout is that which
we know actually to exist in the magnetic field.
According to this hypothesis, then, a permanent bar magnet has the
power of setting the medium round it into continuous molecular rotation
about the lines of force as axes. The molecules which are set in
rotation we may consider as spherical, or nearly spherical, cells
filled with a fluid, or an elastic solid substance, and surrounded by a
kind of membrane, or sack, holding the contents together.
So far the model does not give any account of electrical actions which
go on in the magnetic field.
The energy is wholly rotational, and the forces wholly magnetic.
Consider, however, any two contiguous strings of molecules. Let them
cut the paper as shown in the two circles in Fig. 1:--
[Illustration: Fig. 1.
Fig. 2.]
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