Constants of Electrolytic Solutions. 



833 



■continuous waves, and the capacity C was varied until the 

 current in L was a maximum. 



Fiar. 2. 



Fig-. 3. 



Hj» f 



L R. 



C, 



c 7t : 



A more complete scheme of the circuit is shown in fig. 3, 

 in which D represents a current detector and r the leakage 

 resistance across x. 



The impedance Z of such a circuit is given by 



= ( R+ i+i»V(C+*)7 



l 



> 



(la) 



l+jo 2 



And on removal of a? and ?• this becomes 



V = W + ( P L-^-^ (15) 



If i and I are the maximum currents obtainable in these 

 two cases, and C 2 and C the values of C which give these 

 currents, then 



a 



Co + x 



= 1- ~ 



where 

 Whence 



and 



\P )l WR\i I r/R + I/i + 1' 

 K2 = ( L -^)/° oR2 - 



p.. p _ OoR[l-r/2R + (K» + (l f rf2RY-)i] 



(3) 



. (3«) 



If the insulation of the dielectric is perfect, then >- = cc 

 and C 2 + #— C = : the right-hand side of equation (3 a) 

 is therefore a correction term, and it is desirable to reduce 

 its value to a minimum. To do this, both R and K must be 

 made as small as possible ; this will give large values of i 

 (see equation 3), and so facilitate accurate adjustment of C 

 and cause the correction term to approach 2C U r. 



