James Clerk Maxwell and Modern PhysicsGlazebrook, Richard
History
James Clerk Maxwell and Modern Physics
Glazebrook, Richard
Maxwell, James Clerk, 1831-1879; Physics -- History
Again, consider a steady current flowing in a conductor of any form or
shape, the total flow of current across any section of the conductor
can be measured in various ways, and it is found that at any time this
total flow is the same for each section of the conductor. In this
respect the flow of a current resembles that of an incompressible
fluid through a pipe; where the pipe is narrow the velocity of flow
is greater than it is where the pipe is broad, but the total quantity
crossing each section at any given instant is the same.
Consider now two conducting bodies, two spheres, or two flat plates
placed near together but insulated. Let each conductor be connected
to one of the poles of the battery by a conducting wire. Then, for a
very short interval after the contact is made, it is found that there
is a current in each wire which rapidly dies away to zero. In the
neighbourhood of the balls there is electric force; the balls are said
to be charged with electricity, and the lines of force are curved lines
running from one ball to the other. It is found that the balls slightly
attract each other, and the space between them is now in a different
condition from what it was before the balls were charged. According
to Maxwell, _Electric Displacement_ has been produced in this space,
and the electric displacement at each point is proportional to the
electric force at that point.
Thus, (i) when electric force acts on a conductor, it produces a
current, the current being by Ohm’s law proportional to the force:
(ii) when it acts on an insulator it produces electric displacement,
and the displacement is proportional to the force; while (iii) there
is magnetic force in the neighbourhood of the current, and the work
done in carrying a magnetic pole round any complete circuit linked
with the current is proportional to the current. The first two of
these principles give us two sets of equations connecting together the
electric force and the current in a conductor or the displacement in a
dielectric respectively; the third connects the magnetic force and the
current.
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