164 G. Mathiot on the Atlantic Cable. 
formula Ep Q we give tora small value and diminish Bly 2 
salareng the size of the battery plates, so as ultimately to obtall 
n 
nR+r =m Q—we see plainly that by enlarging the number of | 
m a 
electromotive elements in the battery, and at the same by . 
pot their size, any required effect can be produced on He 
ca io 
€. 
From all the above it is evident that the time for any be 
to charge a Leyden jar will be in a certain inverse proportiol ? 
the size of the battery plates; the charging of the cable ism 
lar to the charging of the jar, excepting that it is com ee 
by the resistance of the wire, and the time will be a functiol® — 
the internal conduction resistance of the source of the electri 
The general mathematical considerations must apply to ee 
electrical action, whether it be produced by thermo-el re 
by chemical action, by magneto-electricity, by induction cous" 
by the lightnings from the clouds, Butas the battery 
only effective source of electricity, and as it is the cheap pes 
reason calls for the construction of a sufficient battery, for W* 
ing the cable in preference to all secondary contrivances. gach 
No one at all acquainted with the subject will doubt that ' as : 
an immense Leyden jar asI proposed above for pare 2 
longitude signals, if charged to a high intensity, would ihe” 
than all other things be fitted for affecting the cable. ae : 
great Jar were not discharged in charging the cable, it ¥ a 
continue steadily to work it in the transmission of messag®) 
jar that would remain thus continually charged would be a ‘ 
erator of electricity; such is a galvanic battery, and by incr” 
the number and size of the plates, the battery is made into *” a 
4 continuously charged jar capable of producing any extent a 
