The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
We now set ourselves the problem of finding the meaning of the various
concepts in terms of which we describe the behavior of electrical
systems, assuming that we understand what we mean by "electrical." We
start with the simplest electrical systems, namely, those in which we
deal with static phenomena on a large scale. In such systems there are
independent physical operations by which we may find the magnitude of
any charge, provided that it is effectively concentrated in a
geometrical point. The measurements involved in these operations are
measurements of ordinary mechanical forces; we assume that our knowledge
of mechanics has already taught us how to make such measurements. An
electrically charged body experiences forces, which may be measured by
tying a string to it and pulling on the string with a spring balance
hard enough to keep the body in equilibrium. Three charges are
numerically equal if when each is placed at unit distance from another,
in the absence of the third (or other charge), the forces are always the
same. If furthermore the forces are of unit magnitude, the charges are
defined as unit charge. Having obtained unit charge, we define the
magnitude of any other charge as equal to the force which it experiences
when placed at unit distance from unit charge. This of course is all
very trite; the important thing for us is merely that magnitude of
charge, or quantity of electricity, is an independent physical concept,
and that unique operations exist for determining it. These operations
presuppose the ability to perform certain operations of mechanics.
Having now learned how to measure electrical quantities, we discover
experimentally the inverse square law of force, and later arrive at the
concept of the electric field. As we have seen, the field is an
invention; here we shall use this concept only for the purpose for which
the invention was made, and shall not involve ourselves in any of the
implications of ascribing physical reality to the field. Notice that as
long as we deal only with point charges we do not have to define field
strength in terms of the limiting procedure of making the exploring
charge smaller, for the limiting small charge is necessary only to avoid
the reaction of the exploring charge on the positions of the charges
which generate the field. All this again is trite; the important point
is that the operations by which the inverse square law and the concept
of the field are established presuppose that the charge is given as an
independent concept, since the operations involve a knowledge of
charges. The operations also involve the measurement of forces by the
ordinary _static_ procedure of mechanics with spring balances. With the
means now at our command we establish one very important property of
electric charges, namely that the total amount of charge on an isolated
body of finite size is conserved, no matter how the charge is forced to
rearrange itself by the motion of charges on adjacent bodies.
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