is equal. So long as this is so, the wheel and axle will not move of
itself. But if we take such loads, or so change the radii of the
wheels, that this product (kgr. × metre) on displacement is in
excess on one side, that side will sink. As we see, this product is
characteristic for mechanical events, and for this reason has been
invested with a special name, _work_.
In all mechanical processes, and as all physical processes present a
mechanical side, in all physical processes, work plays a
determinative part. Electrical forces, also, produce only changes in
which work is performed. To the extent that forces come into play in
electrical phenomena, electrical phenomena, be they what they may,
extend into the domain of mechanics and are subject to the laws
which hold in this domain. The universally adopted measure of work,
now, is the product of the force into the distance through which it
acts, and in the C. G. S. system, the unit of work is the action
through one centimetre of a force which would impart in one second
to a gramme-mass a velocity-increment of one centimetre, that is, in
round numbers, the action through a centimetre of a pressure equal
to the weight of a milligramme. From a positively charged body,
electricity, yielding to the force of repulsion and performing work,
flows off to the earth, providing conducting connexions exist. To a
negatively charged body, on the other hand, the earth under the
same circumstances gives off positive electricity. The electrical
work possible in the interaction of a body with the earth,
characterises the electrical condition of that body. We will call
the work which must be expended on the unit quantity of positive
electricity to raise it from the earth to the body _K_ the
_potential_ of the body _K_.[31]
We ascribe to the body _K_ in the C. G. S. system the potential +1,
if we must expend the unit of work to raise the positive
electrostatic unit of electric quantity from the earth to that body;
the potential -1, if we gain in this procedure the unit of work; the
potential 0, if no work at all is performed in the operation.
The different parts of one and the same electrical conductor in
electrical equilibrium have the same potential, for otherwise the
electricity would perform work and move about upon the conductor,
and equilibrium would not have existed. Different conductors of
equal potential, put in connexion with one another, do not exchange
electricity any more than bodies of equal temperature in contact
exchange heat, or in connected vessels, in which the same pressures
exist, liquids flow from one vessel to the other. Exchange of
electricity takes place only between conductors of different
potentials, but in conductors of given form and position a definite
difference of potential is necessary for a spark, which pierces the
insulating air, to pass between them.
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