It was not that he denied the possibility of open currents. If two
conductors are charged with positive and negative electricity and
brought into communication by a wire, a current is established going
from one to the other, which continues until the two potentials are
equal. According to the ideas of Ampère's time this was an open current;
the current was known to go from the first conductor to the second, it
was not seen to return from the second to the first.
So Ampère considered as open currents of this nature, for example, the
currents of discharge of condensers; but he could not make them the
objects of his experiments because their duration is too short.
Another sort of open current may also be imagined. I suppose two
conductors, _A_ and _B_, connected by a wire _AMB_. Small conducting
masses in motion first come in contact with the conductor _B_, take
from it an electric charge, leave contact with _B_ and move along the
path _BNA_, and, transporting with them their charge, come into contact
with _A_ and give to it their charge, which returns then to _B_ along
the wire _AMB_.
Now there we have in a sense a closed circuit, since the electricity
describes the closed circuit _BNAMB_; but the two parts of this current
are very different. In the wire _AMB_, the electricity is displaced
through a fixed conductor, like a voltaic current, overcoming an ohmic
resistance and developing heat; we say that it is displaced by
conduction. In the part _BNA_, the electricity is carried by a moving
conductor; it is said to be displaced by convection.
If then the current of convection is considered as altogether analogous
to the current of conduction, the circuit _BNAMB_ is closed; if, on the
contrary, the convection current is not 'a true current' and, for
example, does not act on the magnet, there remains only the conduction
current _AMB_, which is open.
For example, if we connect by a wire the two poles of a Holtz machine,
the charged rotating disc transfers the electricity by convection from
one pole to the other, and it returns to the first pole by conduction
through the wire.
But currents of this sort are very difficult to produce with appreciable
intensity. With the means at Ampère's disposal, we may say that this was
impossible.
To sum up, Ampère could conceive of the existence of two kinds of open
currents, but he could operate on neither because they were not strong
enough or because their duration was too short.
Experiment therefore could only show him the action of a closed current
on a closed current, or, more accurately, the action of a closed current
on a portion of a current, because a current can be made to describe a
closed circuit composed of a moving part and a fixed part. It is
possible then to study the displacements of the moving part under the
action of another closed current.
On the other hand, Ampère had no means of studying the action of an open
current, either on a closed current or another open current.
Public-domain text, read in full here on John Shaqi.
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