228 Prof. C. Niven on Determining and Comparing 



of self-induction of the coil or electromagnet in AD ; C the 



capacity of the condenser ; the currents in the meshes as 

 marked. 



F = i { ax~=T + Bl=u 2 + c~-K;x+ Gl=y 2 + dy* + bf^z * + B* 2 }, 



H = -^ 2 /C. 



The equations for the transient currents are 



a. x— z + R. x— u + c — R# + G# — y — — Li? , 



dy + b.y—z — Gcx—y = 0, 



—a(x—z)—b.y — z + 1Sz = 0, 



-Ri + w/C = 0, 



x being the final current in AD. 

 Putting a?—y = y, 



a + c + Gc.y+a + cy— az={CW— L)x c 



— G.7 + b + dy—bz = 0, 



d 



—ay —a + by-\-a + b + T$.z=0. 



The determination of y is simplified by recollecting that - = 7 , 

 and thus a b 



(CW-L)x .b 



and 



a + c+G.fc + aG 



i?o= Zo( a + ^)/( a + ^ + c + d) 

 a E 



aE 



a + c B | c(a + b) B.a + c + c.a + b 

 a + c 



E(CR 2 -L)a£> 



(B.a + c + c.a + 6)(a + c.b + a + b.G) 



