This can obviously be secured if the electrometer system (one pair of
quadrants being earthed) is connected to earth through a suitable high
resistance. A steady deflection of the electrometer needle will be
obtained when the rate of supply of electricity to the electrometer
system is balanced by the loss due to conduction through the resistance.
If the high resistance obeys Ohm’s law, the deflection should be
proportional to the ionization current to be measured.
A simple calculation shows that the resistance required is very great.
Suppose, for example, that a current is to be measured corresponding to
a rate of movement of the needle of 5 divisions per second, with a
sensibility of 1000 divisions per volt, and where the capacity of the
electrometer system is 50 electrostatic units. This current is equal to
2·8 × 10⁻¹³ amperes. If a steady deflection of 10 divisions is required,
which corresponds to a rise of potential of the system of ¹⁄₁₀₀ of a
volt, the resistance should be 36,000 megohms. For a deflection of 100
divisions, the resistance should be 10 times as large. Dr Bronson[109],
working in the laboratory of the writer, has recently made some
experiments in order to devise a practical method for measurements of
this character. It is difficult to obtain sufficiently high and constant
resistances to answer the purpose. Tubes of xylol had too great a
resistance, while special carbon resistances were not sufficiently
constant. The difficulty was finally got over by the use of what may be
called an “air resistance.” The arrangement of the experiment is shown
in Fig. 20.
[Illustration: Fig. 20.]
The electrometer system was connected with the upper of two insulated
parallel plates _AB_, on the lower of which was spread a layer of a very
active substance. An active bismuth plate, coated with radio-tellurium,
which had been obtained from Sthamer of Hamburg, proved very convenient
for this purpose.
The lower plate _B_ was connected to earth. The charge communicated to
the upper plate of the testing vessel _CD_ and the electrometer system
leaked away in consequence of the strong ionization between the plates
_AB_, and a steady deflection was obtained when the rate of supply was
equal to the rate of discharge.
This air resistance obeyed Ohm’s law over a considerable range, _i.e._
the steady deflection was proportional to the current. It is advisable,
in such an arrangement, to test whether the deflection is proportional
to the ionization current over the range required for measurement. This
can readily be done by the use of a number of metal vessels filled with
a constant radio-active substance like uranium oxide. The effect of
these, when placed in the testing vessel, can be tested separately and
in groups, and in this way the scale can be calibrated accurately.
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