Coefficient of End- Correction. 141 



Since the current is continuous at z = between the regions 

 I. and IT., 



/(^) = A + B(l-^ 2 ) + C(l-<T 1/3 



must = 1 — ^a r k r J (h r 'sy) 



r 



Multiply by J (^r^)^" and integrate from to 1. 

 Then 



Jo Jo 



+ C( 1 Jo(^.«r)(l-<Br 2 )- 1 / 3 ^«r 



Jo 



_ A Ji(*r) . B 2J 2 (fc-) , p 2- w r( g)J„(/.v) 



by (i.) § 2. 



But J,(* v ) = and J 2 (k,.) =^-J 1 (L;)-J (k,.)=-J (k r ). 



K r 



Then 



Woft) = _ B 2^ + 2- w r(f) J 2/3 (kr) 



V rJ =D+W (U) 



So 



— 1 V-^r- ^S [over the open end] 



= i vd™ pD + W (^)] [ - 1 + W^oOM] 



-«Bo«w[?^ssy+w[»a* 



sr- I V -v- dS Tover the end s = — LI 



= f (L + D)W^ = i(L + D). 



Jo * 



