But the main interest in this paper lies in the indications which it
gives that Cavendish was aware of the laws which regulate the flow of
electricity through multiple conductors, and in the comparisons of
electrical resistance which are introduced. It had been formerly
believed that electricity would always select the shortest or best
path, and that the whole of the discharge would take place along that
route. Franklin seems to have assumed this in the passage quoted[4]
respecting the discharge of the lightning down the uninsulated
conductor instead of through the building. The truth, however, is
that, when a number of paths are open to an electric current, it will
divide itself between them in the inverse ratios of their resistances,
or directly as their conductivities, so that, however great the
resistance of one of the conductors, some portion, though it may be a
very small fraction, of the discharge will take place through it. But
this law does not hold in the case of insulators like the air, through
which electricity passes only by disruptive discharges, and which
completely prevent its passage unless the electro-motive force is
sufficient to break through their substance. In the case of the
lightning-conductor, however, its resistance is generally so small in
comparison with that of the building it is used to protect, that
Franklin's conclusion is practically correct.
[Footnote 4: Page 96.]
In his paper on the torpedo Cavendish stated that some experiments had
shown that iron wire conducted 400,000,000 times better than rain or
distilled water, sea-water 100 times, and saturated solution of
sea-salt about 720 times, better than rain-water. Maxwell pointed out
that this comparison of iron wire with sea-water would agree almost
precisely with the measurements of Matthiesen and Kohlrausch at 11 deg.C.
The records of the experiments which led to these results were found
among Cavendish's unpublished papers, and the experiments also showed
that the conductivity of saline solutions was very nearly proportional
to the percentage of salt contained, when this was not very large--a
result also obtained long afterwards by Kohlrausch. In making these
measurements Cavendish was his own galvanometer. The solutions were
contained in glass tubes more than three feet long, and a wire
inserted to different distances into the solution; thus the discharge
could be made to pass through any length of the liquid column less
than that of the tube itself. From the Leyden battery of forty-nine
jars, six jars of nearly equal capacity were selected and charged
together, and the charge of one jar only was employed for each shock.
The discharge passed through the column of liquid contained in the
tube, from a wire inserted at the further end, until it reached the
sliding wire, when nearly the whole current betook itself to the wire
on account of its smaller resistance, and thence passed through the
galvanometer, which was Cavendish himself.
Public-domain text, read in full here on John Shaqi.
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