James Clerk Maxwell and Modern PhysicsGlazebrook, Richard
History
James Clerk Maxwell and Modern Physics
Glazebrook, Richard
Maxwell, James Clerk, 1831-1879; Physics -- History
Then these cells are both rotating in the same direction, hence at C,
where they touch, their points of contact will be moving in opposite
directions, as shown by the arrow heads, and it is difficult to imagine
how such motion can continue; it would require the surfaces of the
cells to be perfectly smooth, and if this were so they would lose the
power of transmitting action from one cell to the next.
The cells A and B may be compared to two cog-wheels placed close
together, which we wish to turn in the same direction. If the cogs can
interlock, as in Fig. 2, this is impossible: consecutive wheels in the
train must move in opposite directions.
[Illustration: Fig. 3.]
But in many machines the desired end is attained by inserting between
the two wheels A and B a third idle wheel C, as shewn in Fig. 3. This
may be very small, its only function is to transmit the motion of A to
B in such a way that A and B may both turn in the same direction. It is
not necessary that there should be cogs on the wheels; if the surfaces
be perfectly rough, so that no slipping can take place, the same result
follows without the cogs.
Guided by this analogy Maxwell extended his model by supposing each
cell coated with a number of small particles which roll on its surface.
These particles play the part of the idle wheels in the machine, and by
their rolling merely enable the adjacent parts of two cells to move in
opposite directions.
Consider now a number of such cells and their idle wheels lying in a
plane, that of the paper, and suppose each cell is rotating with the
same uniform angular velocity about an axis at right angles to that
plane, each idle wheel will be acted on by two equal and opposite
forces at the ends of the diameter in which it is touched by the
adjacent cells; it will therefore be set in rotation, but there will be
no force tending to drive it onwards; it does not matter whether the
axis on which it rotates is free to move or fixed, in either case the
idle wheel simply rotates. But suppose now the adjacent cells are not
rotating at the same rate. In addition to its rotation the idle wheel
will be urged onward with a velocity which depends on the difference
between the rotations, and, if it can move freely, it will move on from
between the two cells. Imagine now that the interstices between the
cells are fitted with a string of idle wheels. So long as the adjacent
cells move with different velocity there will be a continual stream of
rolling particles or idle wheels between them. Maxwell in the paper
considered these rolling particles to be particles of electricity.
Their motion constitutes an electric current. In a uniform magnetic
field there is no electric current; if the strength of the field
varies, the idle wheels are set in motion and there may be a current.
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