Constants of Electrolytic Solutions. 831 



by Colin and Arons 5 ' 6 and by Drude 17 , and is known as 

 anomalous absorption or dielectric polarization. It has 

 been shown by many observers (see 2, 3, 14-23, 25, 13, 

 41, 61), and confirmed by the present investigation, that 

 aqueous solutions show only the first type of absorption (that 

 due to their conductivity) so long as the frequency used 

 is not too high. The experiments of Drude 22 , Colley 11 - 12 , 

 and Rukop 50 on water, and of Wildermuth 61 on solutions, 

 indicate that at very high frequencies anomalous absorption 

 may become noticeable. 



In most cases in which high frequency has been hitherto 

 employed, the current was in the form of highly- damped 

 trains of waves. It is proposed here to confine attention 

 to continuous waves of pure sine form; the treatment of 

 such cases is comparatively simple, and the general con- 

 clusions are similar to those obtaining for waves of more 

 complex types. 



In a circuit consisting of an inductance L, a resistance R, 

 and a capacity C, whose dielectric has a resistance r, the 



Fig. 1. 



f5OT&?FV\AAA/Vl 



vww\' 



relation between the amplitude of the applied or induced 

 E.M.F. (E) and the amplitude of the current in the re- 

 sistance R is given by the equation 



(f) 2 =z^ (n +YT ^ ? )\ (*l- W, )', 



. . . (i) 



where _p = the frequency. 



If such a circuit is adjusted so that i is a maximum, then 

 the conclusions drawn from the experiment may depend 

 on the method of adjustment employed. 



A. Tuning by adjustment ofh. 



This is essentially Drude's method 14-23 . Z will clearly 

 be a minimum when (^>L)~ 1 = pO-fp" 1 C~ 1 r~ 2 . Now, if Cj 

 is the capacity of a condenser employing a good insulator 

 and which gives a maximum current with the same value 

 of L as does C, then we may call Ci the apparent value of C; 

 and it follows that Ci — C-hp~ 2 r~ 2 C~ l t or (\ is greater than 



312 



