If a like current is subjected to the action of a closed current _C_,
the movable part will be displaced just as if it were acted upon by a
force. Ampère _assumes_ that the apparent force to which this movable
part _AB_ seems thus subjected, representing the action of the _C_ on
the portion [alpha][beta] of the current, is the same as if
[alpha][beta] were traversed by an open current, stopping at [alpha] and
[beta], in place of being traversed by a closed current which after
arriving at [beta] returns to [alpha] through the fixed part of the
circuit.
This hypothesis seems natural enough, and Ampère made it unconsciously;
nevertheless _it is not necessary_, since we shall see further on that
Helmholtz rejected it. However that may be, it permitted Ampère, though
he had never been able to produce an open current, to enunciate the laws
of the action of a closed current on an open current, or even on an
element of current.
The laws are simple:
1º The force which acts on an element of current is applied to this
element; it is normal to the element and to the magnetic force, and
proportional to the component of this magnetic force which is normal to
the element.
2º The action of a closed solenoid on an element of current is null.
But the electrodynamic potential has disappeared, that is to say that,
when a closed current and an open current, whose intensities have been
maintained constant, return to their initial positions, the total work
is not null.
3. _Continuous Rotations._--Among electrodynamic experiments, the most
remarkable are those in which continuous rotations are produced and
which are sometimes called _unipolar induction_ experiments. A magnet
may turn about its axis; a current passes first through a fixed wire,
enters the magnet by the pole _N_, for example, passes through half the
magnet, emerges by a sliding contact and reenters the fixed wire.
The magnet then begins to rotate continuously without being able ever to
attain equilibrium; this is Faraday's experiment.
How is it possible? If it were a question of two circuits of invariable
form, the one _C_ fixed, the other _C'_ movable about an axis, this
latter could never take on continuous rotation; in fact there is an
electrodynamic potential; there must therefore be necessarily a position
of equilibrium when this potential is a maximum.
Continuous rotations are therefore possible only when the circuit _C'_
is composed of two parts: one fixed, the other movable about an axis, as
is the case in Faraday's experiment. Here again it is convenient to draw
a distinction. The passage from the fixed to the movable part, or
inversely, may take place either by simple contact (the same point of
the movable part remaining constantly in contact with the same point of
the fixed part), or by a sliding contact (the same point of the movable
part coming successively in contact with diverse points of the fixed
part).
Public-domain text, read in full here on John Shaqi.
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