Lord Kelvin: An account of his scientific life and workGray, Andrew
Science
Lord Kelvin: An account of his scientific life and work
Gray, Andrew
Kelvin, William Thomson, Baron, 1824-1907
The principle of the method is essentially the same as that of the
simple magneto-electric machine, to which reference has just been made.
Two parallel coils of wire were wound in channels cut round rings of
brass, which, however, were cut across by slots filled with vulcanite,
to prevent induced currents from circulating in the brass. These coils
were mounted in a vertical position and could be driven as a rigid
system, at a constant measured speed, about a vertical axis passing
through the centre of the system. Between the coils at this centre was
hung, from a steady support, a small magnetic needle by a single fibre
of silk; and a surrounding screen prevented the needle and suspension
from being affected by currents of air.
The ends of the coil were connected together so that the whole revolved
as a closed circuit about the vertical axis. When the coil system was at
right angles to the magnetic meridian there was a magnetic induction
through it of amount AH, where A denotes the effective area of the
coils, and H the horizontal component of the earth's magnetic field. By
one half-turn the coil was reversed with reference to this magnetic
induction, and as the coil turned an induced current was generated,
which depended at any instant on the rate at which the magnetic
induction was varying at the instant, on the inductive electromotive
force due to the varying of the current in the coil itself, and on the
resistance of the circuit. A periodic current thus flowed in one
direction _relatively to the coil_ in one half-turn from a position
perpendicular to the magnetic meridian, and in the opposite direction in
the next half-turn. But as the position of the coil was reversed in
every half-turn as well as the current in it, the current flowed on the
whole in the same average direction relatively to the needle, and but
for self-induction would have had its maximum value always when the
plane of the coil was in the magnetic meridian.
The needle was deflected as it would have been by a certain average
current, and the deflection was opposed by the action of the earth's
horizontal magnetic field H. But this was the field cut by the coil as
it turned, and therefore (except for a small term depending on the
turning of the coil in the field of the needle) the value of H did not
appear in the result, and did not require to be known.
Full details of the theory of this method and of the experiments carried
out to test it will be found in various memoirs and treatises[23]; but
it must suffice here to state that the resistance of the coil was
determined in this way, by a large series of experiments, before and
after every one of which the resistance was compared with that of a
German-silver standard. The resistance of this standard therefore became
known in absolute units, and copies of it, or multiples or sub-multiples
of it, could be made.
Public-domain text, read in full here on John Shaqi.
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