﻿Phosphorus 
  Emanation 
  in 
  Spherical 
  Condensers. 
  85 
  

  

  values. 
  The 
  former, 
  as 
  has 
  been 
  stated, 
  usually 
  show 
  greater 
  

   regularity 
  than 
  the 
  latter, 
  upon 
  which 
  the 
  fluctuations 
  of 
  the 
  

   standard 
  condensers 
  have 
  been 
  imposed. 
  The 
  diameters, 
  2R, 
  

   are 
  in 
  centimetres. 
  

  

  Table 
  III. 
  — 
  Leakage 
  of 
  Spherical 
  Condensers 
  with 
  a 
  medium 
  

   ionized 
  by 
  Phosphorus. 
  Initial 
  potential-difference 
  

   V 
  = 
  40 
  volts. 
  

  

  No. 
  

  

  Radius 
  R. 
  

  

  Field. 
  

  

  K4. 
  

  

  65 
  cm. 
  

  

  Time 
  

  

  t. 
  

  

  40 
  m 
  — 
  45m 
  j 
  

  

  10 
  5 
  x 
  

   69 
  

  

  No. 
  

  

  Radius 
  R. 
  

  

  Field. 
  

  

  Time 
  

  

  t. 
  

  

  10 
  5 
  X 
  

   n 
  x 
  K'. 
  

  

  K4. 
  

  

  46m— 
  51m 
  

  

  109 
  

  

  K4. 
  

  

  53m 
  — 
  58 
  m 
  

  

  113 
  

  

  K4. 
  

  

  58m— 
  63m 
  

  

  103 
  

  

  K4. 
  

  

  (34m_69m 
  

  

  99 
  

  

  K 
  14. 
  

  

  2 
  35 
  cm. 
  

  

  75m— 
  80m 
  

  

  74 
  

  

  K14. 
  

  

  2-35 
  cm. 
  

  

  91m 
  _96m 
  

  

  i 
  

  

  87 
  

  

  K17. 
  

   1-95 
  cm. 
  

  

  99m— 
  104m 
  

  

  i 
  

  

  64 
  

  

  K20. 
  

   17 
  cm. 
  

  

  K. 
  

  

  15 
  cm. 
  

  

  107m— 
  112 
  

  

  115m— 
  120m 
  

  

  K4. 
  

   i 
  "5 
  cm. 
  

  

  122m— 
  127m 
  

  

  71 
  

  

  It 
  appears 
  at 
  once 
  that 
  the 
  data 
  as 
  a 
  whole, 
  though 
  inves- 
  

   tigated 
  with 
  care, 
  still 
  fail 
  to 
  lend 
  themselves 
  for 
  the 
  nice 
  

   discernment 
  of 
  the 
  nature 
  of 
  the 
  locus 
  in 
  a 
  relation 
  of 
  current 
  

   to 
  the 
  diameter 
  of 
  the 
  condenser. 
  The 
  results, 
  even 
  of 
  a 
  

   single 
  series, 
  are 
  not 
  smooth. 
  Indeed 
  the 
  exceptional 
  posi- 
  

   tions 
  of 
  the 
  currents 
  for 
  the 
  standard 
  condensers, 
  those 
  of 
  

   K6 
  (2R 
  = 
  8'7 
  cm.) 
  being 
  abnormally 
  high, 
  while 
  those 
  of 
  

   K4 
  (2R=13'1 
  cm.) 
  are 
  low, 
  is 
  perplexing, 
  and 
  hns 
  led 
  me 
  

   to 
  suppose 
  that 
  some 
  occult 
  cause 
  of 
  variation 
  has 
  been 
  left 
  

   undiscovered. 
  One 
  is 
  almost 
  tempted 
  to 
  infer 
  that 
  each 
  

   condenser 
  behaves 
  as 
  an 
  individual, 
  a 
  conclusion 
  for 
  which 
  I 
  

   am 
  unable 
  to 
  discover 
  adequate 
  reasons. 
  The 
  curve, 
  which 
  

   has 
  been 
  put 
  through 
  the 
  observations, 
  was 
  computed 
  from 
  

   (dv/dt) 
  (R 
  + 
  a) 
  = 
  A, 
  for 
  reasons 
  presently 
  to 
  be 
  explained. 
  

   The 
  observations 
  are 
  in 
  accord 
  with 
  it, 
  in 
  so 
  far 
  as 
  they 
  show 
  

   an 
  increase 
  of 
  current 
  at 
  an 
  accelerated 
  rate 
  as 
  diameter 
  

   decreases. 
  

  

  8. 
  Working 
  Hypothesis. 
  — 
  The 
  attempt 
  must 
  now 
  be 
  made 
  

   to 
  derive 
  some 
  theoretical 
  conclusions 
  from 
  the 
  experiments 
  

  

  