1889.] Electrolytes to very rapidly alternating Currents. 281 



If the ends of the wire are given by z = + 7, the rate at which 

 electricity flows across the end is given by 



^L= ZAa.P cos ml e^ J '-(ma) -(*-!) 20 . cos 

 at n 2 



or by equation (13) 





(i/ l)47rCm-e^cos mZ J '(tgu) ; 



if, however, a is the capacity (in electromagnetic measure) of the 

 condenser at the end z = I 



so that a -~ = 



Equating these expressions for a ~ we get 



-^-- , 



-^-** / 



irg J r ('2a) > ~47r(i/ 

 p., a tan wl 1- 







Since 



it is very large compared with unity, and if qa and q'a are small, 



VOL. XLV. 



