COFFIN. — EDGE CORRECTIONS IN CONDENSERS. 421 



Let the origin he at t = ~ 1. Then 



o -{- i , \ _, 



— -^ — = « log 1- const. .'. const = 1 =z a-n-i. 



L/ — 1 



When t = a, z = ff -\- hi ; hence 



ff + h! =C(-I(a+ ly -2 a\/a + 1 + a log ^ ^"^-^- ^ + ani). 



\ V« +1 — 1 / 



h =^ C aiT, C ■= — . 



a IT 



From which 



cnr \ A/a + 1 — 1 / 



The diagram in the 2^-plane consists of two infinite lines with one 

 zero angle, the same as in the preceding problem. 

 The transformation for which is 



dw dt _, , 



— = y, or w = D\ogt. 



V 



When t is negative, if; = v. .'. v = Bw, and w — -log^ 



IT 



The equation for the electricity on the lower face of the square corner 

 from the corner ^ = — 1 to a point so far in, that the distribution may be 

 considered uniform is 



^ = 4^0"»'--^"S(-l)) 



We must now find a value of t or of log t for a point at which t is 

 negative and very small. 



Putting < = except in the terms which become large under such 



circumstances : — 



— X + 01 = CQ — 2a + 2alog2 — a \ogt + ciTTi) 

 ••• '= 47^ [^+1'' (■-'»" ^-,37,)] 



