208] CONDUCTION IN DIELECTRICS. 405 



the arbitrary constant so determined that for = 0, F t has the 

 value 



(16) j/yoi^ 



The integral is accordingly 



and from this and (7) 



From (4), (5), (6), putting for brevity 



i __ m X,, _ Xi 



_7 /^l _, 



~ ' " 



we have for the densities, 



(19) 



The plane 3 accordingly acquires a charge, which is not the 

 case if the dielectric is homogeneous, or if the relaxation -times of 

 the two dielectrics are equal. We shall distinguish the values of 

 F, <r, etc., attained after the time ^ by an affix, J^ (1) . Suppose 

 that the circuit be now broken. We accordingly have 7 = and 

 therefore 



(20) 



