Scientific American Supplement, No. 433, April 19, 1884Various
Science
Scientific American Supplement, No. 433, April 19, 1884
Various
Science -- Periodicals
When the hands had been wiped perfectly dry, the resistance of the body
was about 30,000 ohms; with the hands perspiring ordinarily it fell to
10,000 ohms; whereas when they were dripping wet it was as low as 7,000
ohms. Our readers can judge this resistance best when we state that the
Atlantic cable offers a resistance of 8,000 ohms.
Taking an ordinary condition of the body, with the hands perspiring as
usual, we would have the resistance equal to 10,000 ohms. Applying the
two known quantities in the formula, we get:
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.
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