Adhering to this idea, we define the _unit_ of electrical
quantity, according to the now almost universally adopted
centimetre-gramme-second (C. G. S.) system, as that quantity which
at a distance of one centimetre repels an equal quantity with unit
of force, that is, with a force which in one second would impart to
a mass of one gramme a velocity-increment of a centimetre.
As a gramme mass acquires through the action of gravity a
velocity-increment of about 981 centimetres in a second,
accordingly, a gramme is attracted to the earth with 981, or, in
round numbers, 1000 units of force of the centimetre-gramme-second
system, while a milligramme-weight would strive to fall to the earth
with approximately the unit force of this system.
We may easily obtain by this means a clear idea of what the unit
quantity of electricity is. Two small bodies, _K_, weighing each a
gramme, are hung up by vertical threads, five metres in length and
almost weightless, so as to touch each other. If the two bodies be
equally electrified and move apart upon electrification to a
distance of one centimetre, their charge is approximately equivalent
to the electrostatic unit of electric quantity, for the repulsion
then holds in equilibrium a gravitational force-component of
approximately one milligramme, which strives to bring the bodies
together.
Vertically beneath a small sphere suspended from the equilibrated
beam of a balance a second sphere is placed at a distance of a
centimetre. If both be equally electrified the sphere suspended
from the balance will be rendered apparently lighter by the
repulsion. If by adding a weight of one milligramme equilibrium is
restored, each of the spheres contains in round numbers the
electrostatic unit of electrical quantity.
In view of the fact that the same electrical bodies exert at
different distances different forces upon one another, exception
might be taken to the measure of quantity here developed. What kind
of a quantity is that which now weighs more, and now weighs less, so
to speak? But this apparent deviation from the method of
determination commonly used in practical life, that by weight, is,
closely considered, an agreement. On a high mountain a heavy mass
also is less powerfully attracted to the earth than at the level of
the sea, and if it is permitted us in our determinations to neglect
the consideration of level, it is only because the comparison of a
body with fixed conventional weights is invariably effected at the
same level. In fact, if we were to make one of the two weights
equilibrated on our balance approach sensibly to the centre of the
earth, by suspending it from a very long thread, as Prof. von Jolly
of Munich suggested, we should make the gravity of that weight, its
heaviness, proportionately greater.
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