On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
The quantity of electricity bodies are capable of receiving does not
follow the proportion of their bulk, but depends principally upon the
form and extent of their surface. It appears from the experiments of Sir
W. S. Harris that a given quantity of electricity, divided between two
perfectly equal and similar bodies, exerts upon external bodies only one
fourth of the attractive force apparent when disposed upon one of them;
and if it be distributed among three equal and similar bodies, the force
is one ninth of that apparent when it is disposed on one of them. Hence,
if the quantity of electricity be the same, the force varies inversely
as the square of the surface on which it is disposed; and if the surface
be the same, the force varies directly as the square of the quantity of
electricity. These laws however do not hold when the form of the surface
is changed. A given quantity of electricity disposed on a given surface
has the greatest intensity when the surface has a circular form, and the
least intensity when the surface is expanded into an indefinite straight
line. The decrease of intensity seems to arise from some peculiar
arrangement of the electricity depending on the extension of the
surface. It is quite independent of the extent of the edge, the area
being the same; for Sir W. S. Harris found that the electrical intensity
of a charged sphere is the same with that of a plane circular area of
the same superficial extent, and that of a charged cylinder the same as
if it were cut open and expanded into a plane surface.
The same able electrician has shown that the attractive force between an
electrified and a neutral uninsulated body is the same whatever be the
forms of their unopposed parts. Thus two hemispheres attract each other
with precisely the same force as if they were spheres; and as the force
is as the number of attracting points in operation directly, and as the
squares of the respective distances inversely, it follows that the
attraction between a mere ring and a circular area is no greater than
that between two similar rings, and the force between a sphere and an
opposed spherical segment of the same curvature is no greater than that
of two similar segments, each equal to the given segment.
Public-domain text, read in full here on John Shaqi.
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