244 On Comparing Capacities. 



Integrating, 



A<?= (0 + D){Af°dg 1 -L i rd(*+y)- L 8fV^ + y)} 



-(A+B){Dr^ 2 -L 2 r^-L 4 r° A ^ \ 



= x ^^ (BCD 2 K 2 - B 2 D 2 K! + L X C 2 - L 3 CD - L 2 BO + L 4 BD), 



since AC = BD. 



Also C 



°°o — x \ jy 



where x x is the permanent current in the branches B and C. 



.-. Ag=^.^^(BCD 2 K 2 -B 2 D 2 K 1 + L 1 C 2 -L 3 CD 



-L 2 BC + L 4 BD). 

 If 2=0, 



BD 2 (K 2 C-K 1 B)+C(L 1 C-L 3 D) + B(L 4 D-L 2 C)=0. 



rLenoe 



K a O = K 1 B, L 1 C = L 3 D, L 4 D = L 2 C; 

 or 



Ki_C and L,_L 2 _D 



Again, since 



A= ( ^{B(C + D) + G(B + C)}, 



BCDK 2 -B 2 DK 1 + L 1 ^-L 2 ^-L 3 C + L 4 B 



q=Xl ~ B(C + D) + G(B + C) 



K 2 BC — K^ + Lij^— L 2 ^ — L 3 ^+L 4 ^ 



BC G(B + cy ■ 



D + + L> 



Xi 



If A and D are now made infinite, 



q = x 1 (K 2 C-K 1 B); 



the same result that we obtain if there is no self-induction in 

 the branches B and C. 



