Comparison of Electrical Capacities of two Condensers. 371 



Let us further suppose that there is a small leakage through 

 the condensers, p p f being their resistances. 

 Then we have 



E ' 



V*-Y' 



u =• 



V.-V' 1 



W 



a 



Q = C(V-V0, Q , =C(¥'-V ) ); 



tl ~ W + ^T^' 



From these we obtain : — 



G.r + R*-RV = 0; 



^^{-fe?}- 



a?=0; 



Assume 



R+P 



= Ae~ nt , 



x = Be" 1 * 



On substituting we have 



A j^±£_CRn}-B = 0, 



9 



R' + 



A'|^±£— C'R'»J+B=0, 

 GB + RA-R'A'=0. . . . 



rhenci 



A |g(^±P - RC» V+B.-J- R'A'=0, 

 A' |g(5^-R'C'«) + R']. -RA=0. 



(1) 



(2) 

 (3) 



. y,-v, 



(5) 



(6) 

 (7) 



(8) 



