COFFIN. — EDGE CORRECTIONS IN CONDENSERS. 4^8 



dt 



t — b a u" 1 — b 

 or t — — - 



t — a 



siun becomes rationalized, and integrates into 



By making the substitution ir = — - or t — — ^ — this expres- 



= C(V(1 - a) (t-b) + 2C / log 



2c-«-5 aA — a + \/t — b 



<\/t — a — V^ _ ^ 



V(c — b)(t — a) +\/(c — a)(< - 6) 



-V(b-c)(a-c)log^==£= ' v ^_ ^==+r) (a) 



where T is the constant of integration. 



J t = -f co * = a II 



* = i 5- - t = 



^ = i ■ / = 



F * = — co G 



The w-diagram consists of two straight lines parallel to the </>-axis, 

 at a distance v apart. 



At 67 t — 0, a= 0, and the transforming function is obtained from 



dw 1 D . 



= B - where B is a constant. 



From this equation we obtain the integrated form 



w = B (log t + const.) = tf> -\- i\J/ 



As t runs from — oc to and from to + co, the value of log t dimin- 

 ishes by i iv as t passes through zero. 



iv = B (log t — i 7r) — <f) -\- ii}/ 



and as £ passes through zero w increases by i v 



