COFFIN, — KDGE CORRECTIONR IN CONDENSERS. 423 



rf2_ cV(«-«) (^ — i) 



(f < t — C 



■n 1 • 1 , . . , t — b au^ — b , . 



liy raakintj the substitution ir = or ^ = — ^ this exi)res- 



sion becomes rationalized, and integrates into 



2c — a — b \/t — a + \/t — b 



Ci^it- a) {t~b) + log 



'\/t ~ a — \/t — b 



_ v («-.)(a-c) , V ('-*)('— ) + V(-'-'-)(l^) + r^ 



'^{c — b){t — a)—\/{c — a){t—b) 



(a) 



where V is the constant of integration. 



J < = + 00 t = a H 



,^=y ^ : — < = 



,f, = ^^ t - 



F ^ = -00 G 



The ?<;-diagram consists of two straight lines parallel to the ^-axis, 

 at a distance v apart. 



At (? < = 0, a = 0, and the transforming function is obtained from 



die „ 1 , „ . 



— — = ij - where i? is a constant. 



dt t 



From this equation we obtain the integrated form 



w ^ B (log t + const.) =z (f> -j- iij/ 



As t runs from — x to and from to + oo, the value of log t dimin- 

 ishes by iir as t passes through zero. 



.*. w = B (log t — i7r)=(f>-\-iij/ 



and as t passes through zero w increases by iv 



