1889.] Electrolytes to very rapidly alternating Currents. 271 



The boundary conditions are that F, G, H are continuous as we 

 cross from one medium to another, that the magnetic induction at 

 right angles to the bounding surface dG/dz dH/dy is also con- 

 tinuous, and that the magnetic force parallel to the surface, the com- 

 ponents of which along the axes of y and z are respectively 



i f^a__^F 1 



p, I dx dz j 



1 f^F_^G 1 

 /A I dy dx J 



where /* is the magnetic permeability, should also be continuous. 



Let us first consider the special case where the electromotive force 

 is everywhere parallel to the conducting plate, as this is the case which 

 is most important for the interpretation of our experiments. In this 

 case, B J5 B/, B 2 , B 2 ', and B 3 = 0, and we have, since G is continuous 

 at the surface x = 0, 



since it is continuous at x = h, 



since dG/f^dx is continuous, we have if /*' is the magnetic permeability 

 of the plate, 



a^-C^XcCj-C,'), 



aC 3 e- Mh = , (C 2 e-"^- 

 Solving these equations we get 



c, = 



A--.- ..... (4,, 



