336         Dr.  Gundry  on  the  Asymmetrical  Action  of  an 
As  may  easily  be  shown, 
\  *log(l+as  +  2acos0)  =  O, 
Jo 
and  therefore 
\     log(l  +  *cos0)<?0  =  \     log  {1  +  a2  +  2a  cos  6)dd-27rlog{l  + a2) 
Jo  Jo 
=  -27rlog(l  +  a2) 
(where  k  =  -^) 
=  -'2tt  loo- ( 4= \ 
°\1  +  \fl-kV 
■.-Arfw{i+!-(.+l)} 
loge 
_'0 
A, 
w 
1+- 
/B\4 
Taking  once  more  the  series  (6),  and  neglecting  l  —  \    and 
higher  powers,  C[) 
1  = 
XB 
4W< 
2 
'0 
x       ?:02 
4W   ^ViBOT  Cy2 
=  - 
X 
V 
BttW^W) 
N 
here 
N  = 
m     . 
the  fi 
equency. 
Therefore 
NI 
=  const.       .     . 
a) 
The  direct  current  therefore  flows  from  the  small  electrode 
to  the  large  electrode  in  the  electrolyte,  and  is  directly 
proportional  to  the  square  of  the  strength  of  the  alternating- 
current,  and  inversely  to  the  frequency. 
It  is  clear  that  the  direct  current  is  the  greater,  the  smaller 
the  value  of  c  is. 
It  is  to  be  noted  that  the  effect  in  this  case  is  not  a 
depolarization,  but  a  virtual  increase  of  the  polarization. 
