$20 LENZ ON. THE VARIOUS CONDUCTING) POWERS 
Now by solving these equations with regard to # and y according to 
the method of the least squares, we shall obtain 
v= 75360 y = 8°7508 
If we substitute these values in the equations( A) and ascertain from them 
the values a, a', a'', or sin($.a@,), sin (4 Oya 7), sin (4 Oy 4 14)» We shall 
obtain the angles $.a,, 4 $a, 472 4a PA oUe and multiplying them by 2 
we shall find out the angles of the seventh column. 
The very slight differences of the values indicated in the 8th column 
from those observed, convince us that the hypothesis which is the base 
of the calculation is correct, and that therefore the resistances of the 
wires are in a direct ratio, and their conductibilities in an inverse ratio 
to their lengths. 
I performed a short time previously another series of experiments, 
and diminished the electromotive spiral by two coils without shorten- 
ing its length or altering its resistance. The results are contained in 
the following table: 
SR RR RS TS FD 
Angles of Deviation. 
SS SSS SS 
1. 2. 3 4, |Average. 
at the beginning of the). 5 Arley ‘ 
Without any experiment............ 77°9| 8171; 81°7|81°7 | 80°6 
wire interposed : 77-3] 80:2) 81°3|80°2 : 
at the end of it. ... { 77.31 80-2 81-2 ae 79°69 
With interposed wire 7 feet long ...... 47°6| 48°7| 49°9)49°5 | 48°92 
14, ———_. ...... 348} 35:0) 36°6/3.5°8 | 35°55 
21 ——— ...... 27°4| 27°7| 28°4\28°6 | 28°02 
———_—_—_—_—__—— _ 28 ——__....... 29-5| 23°3| 23°4\22°8 | 23°00 
$< ——__— 35 ——_ oa 19-4! 18°8| 19°8/19°3 | 19°32 
We perceive by the deviations which occurred at the beginning and 
end of the-series of experiments, performed without inserting the wires 
between the spiral and the wire of the multiplier, that the power of the 
magnet was a little diminished during the experiment. This induced 
me, therefore, before the calculation of the results of the experiment, 
to make a slight correction of the angles of deviation, founded on the 
principle that the diminution of power was proportional to the time, 
and that the observations with various lengths of wire followed 
each other at equal intervals, which was nearly the case. I repre- 
sented the angle of deviation when no wires were interposed at the 
beginning of the SSE by @,, and at the end of it by Ua) and 
found 
sin $a, = (1 + m)sin (Fa.)) 5 
