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
A unit called the B.A. unit, which was intended to contain 10^9 C.G.S.
electromagnetic units of resistance, was constructed from these
experiments, and copies of it were soon after to be found in nearly all
the physical laboratories of the world. Resistance boxes were
constructed by various makers, in which the coils were various multiples
of the B.A. unit, so that any resistance within a certain range could be
obtained by connecting these coils in series (which was easily done by
removing short circuiting plugs), and thus the absolute units of current
electromotive force and resistance came into general use.
In 1881 Lord Rayleigh and Professor Schuster carried out a very careful
repetition of the British Association experiments with the same
apparatus at the Cavendish Laboratory, and obtained a somewhat different
result. They found that the former result was about 1.17 per cent. too
small. Lord Rayleigh next carried out an independent set of experiments
by the same method with improved apparatus, and found that this
percentage error must be increased to about 1.35.
It may be noticed here that the simple disk machine, of Thomson's
illustration of the absolute unit of electromotive force, has been used
by Lorenz to give a method of determining resistance which is now
recognised as the best of all. It is sketched here that the reader may
obtain some idea of later work on this very important subject; work
which is a continuation of that of the original British Association
Committee by their successors. A circuit is made up of a standard coil
of wire, the ends of which are made to touch at the circumference and
near the centre of the disk, which is placed symmetrically with respect
to a cylindrical coil, and within it. A current is sent round this coil
from a battery, and produces a magnetic field within the coil, the lines
of magnetic force of which pass across the plane of the disk. This
current, or a measured fraction of it, is also made to flow through the
standard coil. The disk is now turned at a measured speed about its
axis, so that the electromotive force due to the cutting of the field
tends to produce a current in the standard coil of wire. The
electromotive force of the disk is made to oppose the potential
difference between the ends of this coil due to the current, so that no
current flows along the disk or the wires connecting it with the
standard coil. The magnetic field within the coil can be calculated from
the form and dimensions of the coil and the current in it (supposed for
the moment to be known), and the electromotive force of the disk is
obtained in terms of its dimensions and its speed and the field
intensity. But this electromotive force, which is proportional to the
current in the coil, is equal to the product of the resistance of the
wire and the same current, or a known fraction of it. Thus the current
appears on both sides of the equation and goes out, and the value of the
resistance is found in absolute units.
Public-domain text, read in full here on John Shaqi.
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