C = (300 / 10,000) - (1 / 33.333+)

This means, therefore, that when the electromotive force or potential is

great enough to send a current of 1/33 ampere through the body, fatal

results will ensue. This current is so minute that it would deposit only

about 6 _grains_ of copper in _one hour_, a grain being 1/7,000 of a

pound.

Let us now compare these figures with some actual cases, taking as

an example a system of incandescent lighting. In these systems the

difference of potential between any two points of the circuit outside of

the lamps does not exceed 150 volts. Taking this figure, therefore, it

will be seen that under no circumstances can the shock received from

touching these wires become dangerous--not even by touching the

terminals of the dynamo itself; because in neither case can a current be

driven through the body, sufficient to cause an excessive contraction of

the muscles.

In a system of arc lighting, however, we have to deal with entirely

different conditions; for, while in the incandescent system the adding

of a lamp, which diminishes the resistance, requires no increase of

electromotive force, the contrary is the case in the arc light system.

Here every additional lamp added to the circuit means an increase in

resistance, and consequent increase in electromotive force or potential.

Taking for example a well known system of arc lighting, we find that the

lamps require individually an electromotive force of 40 volts with a

current of 10 amperes. In other words, the difference in potential at

the two terminals of every such lamp is 40 volts. Consequently, if the

circuit were touched in two places, including between them only one

lamp, no injurious effects would ensue. If we touch the circuit so as

to include two lamps between us, the effect would be greater, since the

potential between those two points is 2 x 40 volts. We might continue

in this manner touching the circuit until we had included about 7 or

8 lamps, when the shock would become fatal, since the point would be

reached at which the difference of potential is great enough to send a

dangerous current through the body.

Up to this point we have assumed that, while touching two points in the

wire, the rest of the circuit is perfectly insulated, so that no current

can leak, in other words, that the circuit is nowhere "grounded." If

this is not the case we may, under suitable conditions, receive a

shock by touching only _one_ point of the wire. This becomes clear

by considering the current to leak from another spot of different

potential, to pass through the ground and into the body; thus, on

touching the wire the body virtually makes a connection between the

two points of the circuit. In clear dry weather such leaks are

insignificant; but in damp and rainy weather, and with poor insulation,

they may rise to such a point at which it would be dangerous to touch

the circuit even with one hand, the leaks being sometimes so great as

to cause the lamps to burn in a fitful, desultory manner, and to go out

entirely.

There is still another factor which enters into the discussion of the

danger of electric light wires. This must be looked for in the fact that

the physiological effects are greatest at the moment of the opening or

the closing of the circuit; or in a closed circuit they are the more

marked when the flow of current stops and starts, or diminishes and

increases. In dynamo electric machines the current is not absolutely

continuous or uniform, since the coils on the armature being separated a

distance cause a slight break or diminution of the current between each.

This break is so short that it does not interfere with the practical

work for lighting; in some constructions, nevertheless, the distances

apart is so great that, while not interfering with light, its effects

upon the muscles are greatly increased over those of other constructions

which give a more uniform current.

All these statements might lead to the conclusion that arc light wires

are dangerous under any circumstances; but this is not the case. The

first and only requisite is, that they be perfectly insulated. When thus

protected accidents from them are impossible, and all mishaps that have

occurred through them can be traced directly to the lack of insulation.

Nevertheless, we would warn our readers against experimenting upon arc

wires by actual trial, because unforeseen conditions might lead to

disagreeable results.

* * * * *

Scientific American Supplement, No. 433, April 19, 1884 · 第 39 / 69 题