1889.] Electrolytes to very rapidly alternating Currents. 273 



P /r e-^h - 1 27rhp - 27rJ 'P 4-1 m 



CWa -1- -+ 



But Cj/Cse- 4 ^ is the proportion in which the electromotive force 

 is reduced by the conducting plate ; hence we see that if this is 

 considerable 27r^)/\/(6 2 4-c 2 )o' must be large, and in this case the 

 reduction is proportional to the thickness of the plate, the number of 

 reversals in the direction of the current per second, and the specific 

 resistance. The term & 2 4- c 2 will not change if the primary remains 

 undisturbed. We see from the above investigation that if with the 

 same rate of reversal two different plates produce the same effect 

 upon the induced current, their thicknesses must be proportional to 

 their specific resistances, or, in other words, the resistance of slabs of 

 the same area to currents parallel to their bounding surfaces must be 

 the same. 



The above case is the one that is most generally useful ; there is no 

 difficulty, however, in writing down the solution of the most general 

 case when the vector potential is not assumed to be parallel to the 

 plate. 



Using the same notation as before we have 



! = 0, 

 / = 0, 



a'B 2 4- &C 2 4- cD 2 = 0, 

 ,' = 0, 



