﻿Alternating- 
  Current 
  Spark 
  Potentials. 
  709 
  

  

  To 
  determine 
  /i 
  we 
  have 
  made 
  use 
  o£ 
  the 
  following 
  formulse 
  

   which 
  possess 
  a 
  degree 
  o£ 
  exactness 
  greater 
  than 
  0*001 
  : 
  — 
  

  

  ^o%A=^-^^i^ 
  

  

  (2) 
  

  

  Xx 
  1 
  x^ 
  73 
  x^ 
  

  

  <0-3, 
  /i 
  = 
  l+3- 
  + 
  l5^ 
  + 
  53760a-5- 
  • 
  (3) 
  

  

  0-3<-<0-7, 
  /,=/+A 
  

  

  where 
  

   and 
  

  

  *^--^"^3a"^45a=^"^53760a3 
  

  

  

  Here 
  ^, 
  /:', 
  and 
  K 
  are 
  determined 
  from 
  the 
  following 
  

  

  = 
  1 
  + 
  2 
  2^"-^ 
  = 
  l 
  + 
  2(^H-^^ 
  + 
  ^^+ 
  ...) 
  

  

  ^^^=:l 
  + 
  2 
  2(-l)V' 
  = 
  l 
  + 
  2(-^ 
  + 
  9^-^9+...) 
  

  

  TT 
  1 
  

  

  ^^= 
  T- 
  ^ 
  

  

  (4) 
  

  

  represents 
  the 
  distance 
  between 
  the 
  two 
  centres. 
  

  

  0-7?^- 
  >1 
  

  

  a 
  

  

  where 
  

  

  f: 
  

  

  _l/^,,\ 
  1 
  a 
  a 
  

  

  a 
  \a 
  J 
  \a 
  / 
  

  

  K5) 
  

  

  X 
  X 
  

  

  a 
  a 
  

  

  K^^) 
  c-^y 
  (:-4 
  

  

  