In comparing these values it is important to remember that
Lecher (loc. cit.) has shown that with Fe or Pt terminals the arc
discharge is intermittent. Arons has shown that this is also the case
with Hg terminals, but no intermittence has been detected with
terminals of C, Ag or Cu. The preceding measurements refer to mean
potentials, and no conclusions as to the actual potential differences
at any time can be drawn when the discharge is discontinuous, unless
we know the law of discontinuity. The ease with which an arc is
sustained depends greatly on the nature of the electrodes; when they
are brass, zinc, cadmium, or magnesium it is exceedingly difficult to
get the arc.
[Illustration: FIG. 20.]
[Illustration: FIG. 21.]
The potential difference between the terminals is affected by the
pressure of the gas. The most extensive series of experiments on this
point is that made by Duncan, Rowland, and Tod (_Electrician_, 31, p.
60), whose results are represented in fig. 20. We see from these
curves that for very short arcs the potential difference increases
continuously with the pressure, but for longer ones there is a
critical pressure at which the potential difference is a minimum, and
that this critical pressure seems to increase with the length of arc.
The nature of the gas also affects the potential difference. The
magnitude of this effect may be gathered from the following values
given by Arons (_Ann. der Phys._ 1, p. 700) for the potential
difference required to produce an arc 1.5 mm. long, carrying a current
of 4.5 amperes, between terminals of different metals in air and pure
nitrogen.
+-----------+------+-----------+
| Terminal. | Air. | Nitrogen. |
+-----------+------+-----------+
| Ag | 21 | ? |
| Zn | 23 | 21 |
| Cd | 25 | 21 |
| Cu | 27 | 30 |
| Fe | 29 | 20 |
| Pt | 36 | 30 |
| Al | 39 | 27 |
| Pb | .. | 18 |
| Mg | .. | 22 |
+-----------+------+-----------+
Thus, with the discharge for an arc of given length and current, the
nature of the terminals is the most important factor in determining
the potential difference. The effects produced by the pressure and
nature of the surrounding gas, although quite appreciable, are not of
so much importance, while in the spark discharge the nature of the
terminals is of no importance, everything depending upon the nature
and pressure of the gas.
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