229 
d EN: 2 x nm” 
z C sin ertt C sin - eratt_ (sin epst + .,, + (’,8in ——— ep,} 
: ane oye n+] Ty nl oor ne 
2x 4a 62 2nar 
t. —lC an ent Co sin-——epot + C sin epst +…+ Csi p | 
; | eee + CG, EE Sa te es ene Gl 
E] . . . . . MN . . . ms . . . A rd . . . . aie . . 7) 
il - 1)! tc sin eP'+-C, sin———ePs! + C’, sin —— Pst... ,8in ——e?,! 
n+1 n+] n+) n+] 
IT 
: IE ‚ 2nn ln OMI nnn 
it} in, | pO einer ein att 
In order to obtain the constants C,, C,,...C,, we introduce the 
dy dy 
% L nn = — M sin (n—1)4. — 
( ® a) sinn sin (n ) 6 Er 
or 
— 2M cos B sin nd = — M sin (n—1) 9 
or 
sin (nt 1) 9 == 0 
from which 
where 
be te 
In the same way the problem can be treated when in every circuit a capacity 
C is linked. The general equation for the kth circuit takes the form 
dij. te te as di Hin 
eme ne 
ex being the charge of the condensator, we have 
Mad! dep, 
aria ge 
We can find a solution of these equations by the assumption, 
ee = sin kO 
where y is determined by 
ON iv AE rk 
(L + 2m cos 0) 7 + or En Cc == 0 
In this equation @ is given by 
ed Bg where /=-=1,2,...%. 
n+1 
We find damped oscillations and moreover the amplitudes varying like those 
in the problem treated, if we take e.g. for ¢=0 
ee eee ool. == 0, and, taking’ $y Stier in =D 
But we will not further discuss this problem. 
