1889.] Electrolytes to very rapidly alternating Currents. 277 



or 



'(i 2 a)}.. (10). 



Since the magnetic force parallel to the surface of the wire is 

 continuous, 



1 F d d x _ dR \ 

 fi\dz dr dr f 



is continuous, and therefore 



-^2 . im . wAJ '(ma) -- 



or 



ftn K 



From equations (9) and (11) we get 



(11). 



p 



. . (12), 



and from (10) and (11) we get 



=f 



Hence, eliminating A and C from these equations, we get 



J '(ia) V 



(13). 



..(14). 



In the cases dealt with in these experiments the rate of vibration 

 was so rapid that na was very large. In this case J '(wa) = /J (ma). 

 If Maxwell's theory is true, the right hand side vanishes, since 

 v' = v, and we have 



m 



or 



_ 

 V( a) 







The right hand side of this equation is very small, so K must be 

 very small. In this case 



I (;*:a) = log <yiiea approximately, 



