4 Prof. J. J. Thomson. On the Effect produced by [May 2, 

 From the continuity of H we get 



V — V 



EJ (ma) = F J (iica) + GI (aca)-\ — tmAJ (iqa) 



LI (m'&) =FJ (*r6) + GI (£*6)+— ^~mDI «&) J 

 From the continuity of F and Gr we get 



.. (2). 



tp 



™ LI '(m'&) = ^(FJ '0^) + GI '(^)) + ^i / (BJ '(^'6) 



n k ip . 



y... (3). 



+ CJ '(<2'i))-^DJ '(<?"&). 



J 



The magnetic force parallel to the surface of the wire is 



fi\dz dr dry 

 and, since this is continuous, we have 



jul n K 



l^Z^ LIo . K6)= ™^(FJ '(«6)+GIo'(«6)). ] 



/x n K J 



Eliminating E and L from equations (2) and (4), we get 

 J (tKa)J '(ma) J '(i/ca) J (ma) ) 



(Yil/^ ~~~~ 72-^ 772^ / *\ 

 J '(ma)I (*Ka) J (ma)I (f/ca) I 

 /Ml- K J 



y- (4). 



tm — AJ (^a) J '(ma) 



(5), 



\ ytt W it / 



+ G ( ^^V«6)V(m'd)_-S!z^ VC«6)I (mb)) 

 \ /u,n k / 



DIo( £p 6)V(m'6) (6). 



= im^ — — - 



