Memoirs presented to the Cambridge philosophical society on the occasion of the jubilee of Sir George Gabriel Stokes, bart., Hon. LL. D., Hon. SC. D., Lucasian professor.

DISCHARGE OF AN AIR CONDENSER, WITH A DETERMINATION OF "v." 171
L' ( - yn-) -= Vn - Vn,
L'= TFn- Y,,
y, vQg dQ2
V2 - F_= J "dt Y2, etc.,
nL'X - L' (y, + Y2 + y,,-l)= V1- FV =
L' (- y_) = - yn-i,
(Si'L'2 - 1) Y =(S,'L'x - 1) Y3 = SL' x2X1,,X2nL+(-(n 2) S ='L'2xl 1
1* r - i-^ 2. rs'
n
SLx2 = 1 - &1',2L,
XSL = -2 S1'
n2
Now it appears possible from the investigation in Part IV. p. 174, that S' may
be as great as 600 cm. so that S'/=S.
Also, taking the two coils, n = 60 and 1- - 1- approximately, thus the
correction is negligible, and we might give S' a much larger value without modifying
our final result.
If we have no external condenser then S = Si and we have X2S7'L = 1 — approximately. So that in this case the capacity of each layer of the coil on the next may
be the effective factor in determining the period.
(ii) EFFECT OF RESISTANCE AND THROTTLING ON THE PERIOD.
The critical resistance at which the discharge ceases to be oscillatory is
4L
V~8 >s22 2
22-2