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.

168 MESSRS GLAZEBROOK AND LODGE, EXPERIMENTS ON THE OSCILLATORY
But Si = 2Sl. Thus the correcting terni in this case is - S or one half of its value
65
in the first case.
-V /,' A c i-Vz -~V +V9 __ -
VI A V, Vn-i 0 0i -V
FIG. 6.
We shall assume that if the higher powers of SI/S are included the correction is still
one half of its value in the first case.
The solution for the case in which there is no condenser attached is best obtained
from the original equation (E), p. 166, by putting S = S', i.e. assuming the last section of
the coil to be the external condenser.
Thus we have
1S'L - c + sin - c o cot n}
2S'L'= 1 - cos b.
Also nS'= S, 2nL' = L.
Whence n (1 - cos ) cos ( - = cos - cos n.
Now assume, guided by the solution on p. 161, that n4 = 2 - where f is small.
' 22
Then n (1 - cos s) sin 2 (S + ) = cos sn and = - approximately; neglecting 212
Thus n.~2 5 =
2 2 )2'
{1in+l + } + nb
4&
Thus approximately = 16 n2'
'7rT2 7r
Now X2SL = 2n2S'L' X2 = -2,2 (1 - cos b) = 2.~ = 6.