10
KINETIC ENERGY OF ELECTRICITY IN MOTION [1]
The very complicated calculation was, however, not carried
through for all the observations, but from a number of them
the value of c was calculated, and the mean of the closely-
agreeing values obtained was assumed to be true for the
remaining observations. When c is known we get, more
simply
--
-
µck = (Σ— a₁₂) — q(Σ — a₁)+c{(Σ—a,)+q(Σ—a„)}.
kk
=
2(n-1)
Since the term involving c only occurs as a correction, it is
not necessary to know c with absolute accuracy. By taking
the mean between two successive impacts, namely
kim k =
am — Jam - 1 + c(ªm +gam-1),
2
we can get some notion as to how far the individual values
differ from their mean.
As in what follows only the final results will be given,
I shall give here one series of multiplied deflections with the
individual impacts completely calculated, so that it may be
seen how far the observations agree amongst themselves.
EXTRA-CURRENTS FROM RECTILINEAR WIRES (WIRES
TRAVERSED IN THE SAME DIRECTION).
STRENGTH OF THE INDUCING CURRENT: 75.7.
q=0·9830,
c =
0.016.
Readings
reduced to arc.
Arcs of
Vibration.
Magnitude of Individual Impacts in
Scale Divisions.
angan-1 an+gan_1
an
x=
·an-qan- 1 + dan+qan-1)
2
517-2
30.7
547.9
72.0
41.8
102.3
21.7
475.9
111.3
40.5
182.5
21.7
587.2 149.4
40.0
258.8
22.1
437.8
186.5
39.6
338.4
22:4
402-0
624.3 222.3
39.0
405'6
22.7
656.7
254.7
36.2
473.2
21.9
371-2
285.5
35.1
535.9
21.8