OF AN ELECTRIC DISCHARGE. 



23 



by Q, and when for the total superficial 'content S its value ns 

 is set, the expression 



W=-^'-^ (23) 



ns 2 ^ ^ 



In order to determine how the entire quantity of electricity Q is 

 distributed by the discharge over both batteries, we know the 

 condition, that on the coatings which are connected together the 

 potential functions must be equal. Let Vj and V/ be the po- 

 tential functions on the inner coatings after the discharge, and 

 Qj, Q/ the quantity of electricity upon them, which it is our 

 object to ascertain; we have then, according to (17)> 



v.'^ 



n's' ' 



where k' is the same magnitude for the second battery that k is 

 for the first. If these expressions be set down as equal, and 

 bearing in mind that 



ns 



we obtain 



ns n's 



(24) 



Q,' = . 



T + 



From this we obtain further, when W^ denotes the entire po- 

 tential of both batteries after the discharge. 



ia« 



k k' 

 and thus we obtain the increase of the potential, 



1^2 s' 



Wi-W=: 



2k''s 



.Q^ 



(>?7h 



(25) 



(26) 



The quantity -^ .- is constant for the entire series of expe- 



ji K S 



