Let us insulate, now, the outer coating of a Lane's unit jar _L_,
the jar just described, and put in connexion with it the inner
coating of a jar _F_ exteriorly connected with the earth (Fig. 30).
Every time that _L_ is charged with +_q_, a like quantity +_q_ is
collected on the inner coating of _F_, and the spontaneous discharge
of the jar _L_, which is now again empty, takes place. The number of
the discharges of the jar _L_ furnishes us, thus, with a measure of
the quantity collected in the jar _F_, and if after 1, 2, 3, ...
spontaneous discharges of _L_ the jar _F_ is discharged, it is
evident that the charge of _F_ has been proportionately augmented.
[Illustration: Fig. 31.]
Let us supply now, to effect the spontaneous discharge, the jar _F_
with knobs of the same size and at the same distance apart as those
of the jar _L_ (Fig. 31). If we find, then, that five discharges of
the unit jar take place before one spontaneous discharge of the jar
_F_ occurs, plainly the jar _F_, for equal distances between the
knobs of the two jars, equal striking distances, is able to hold
five times the quantity of electricity that _L_ can, that is, has
five times the _capacity_ of _L_.[29]
[Illustration: Fig. 32.]
We will now replace the unit jar _L_, with which we measure
electricity, so to speak, _into_ the jar _F_, by a Franklin's pane,
consisting of two parallel flat metal plates (Fig. 32), separated
only by air. If here, for example, thirty spontaneous discharges of
the pane are sufficient to fill the jar, ten discharges will be
found sufficient if the air-space between the two plates be filled
with a cake of sulphur. Hence, the capacity of a Franklin's pane of
sulphur is about three times greater than that of one of the same
shape and size made of air, or, as it is the custom to say, the
specific inductive capacity of sulphur (that of air being taken as
the unit) is about 3.[30] We are here arrived at a very simple fact,
which clearly shows us the significance of the number called
_dielectric constant_, or _specific inductive capacity_, the
knowledge of which is so important for the theory of submarine
cables.
Let us consider a jar _A_, which is charged with a certain quantity
of electricity. We can discharge the jar directly. But we can also
discharge the jar _A_ (Fig. 33) partly into a jar _B_, by connecting
the two outer coatings with each other. In this operation a portion
of the quantity of electricity passes, accompanied by sparks, into
the jar _B_, and we now find both jars charged.
[Illustration: Fig. 33.]
[Illustration: Fig. 34.]
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