First we become familiar with the motion of freely falling bodies. The
concepts of force, mass, and work are then carried over, with
appropriate modifications, to the phenomena of electricity and
magnetism. A stream of water is said to have suggested to Fourier the
first distinct picture of currents of heat. A special case of vibrations
of strings investigated by Taylor, cleared up for him a special case of
the conduction of heat. Much in the same way that Daniel Bernoulli and
Euler constructed the most diverse forms of vibrations of strings from
Taylor's cases, so Fourier constructs out of simple cases of conduction
the most multifarious motions of heat; and that method has extended
itself over the whole of physics. Ohm forms his conception of the
electric current in imitation of Fourier's. The latter, also, adopts
Fick's theory of diffusion. In an analogous manner a conception of the
magnetic current is developed. All sorts of stationary currents are thus
made to exhibit common features, and even the condition of complete
equilibrium in an extended medium shares these features with the
dynamical condition of equilibrium of a stationary current. Things as
remote as the magnetic lines of force of an electric current and the
stream-lines of a frictionless liquid vortex enter in this way into a
peculiar relationship of similarity. The concept of potential,
originally enunciated for a restricted province, acquires a
wide-reaching applicability. Things as dissimilar as pressure,
temperature, and electromotive force, now show points of agreement in
relation to ideas derived by definite methods from that concept: viz.,
fall of pressure, fall of temperature, fall of potential, as also with
the further notions of liquid, thermal, and electric strength of
current. That relationship between systems of ideas in which the
dissimilarity of every two homologous concepts as well as the agreement
in logical relations of every two homologous pairs of concepts, is
clearly brought to light, is called an _analogy_. It is an effective
means of mastering heterogeneous fields of facts in unitary
comprehension. The path is plainly shown in which _a universal physical
phenomenology_ embracing all domains, will be developed.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account