﻿Anomalous 
  Conduction 
  in 
  a 
  Solid 
  Dielectric. 
  683 
  

  

  if 
  a 
  and 
  b 
  are 
  the 
  distances 
  between 
  C 
  and 
  A 
  and 
  between 
  C 
  

   and 
  B 
  respectively,, 
  and 
  if, 
  further, 
  i 
  a 
  and 
  u 
  represent 
  the 
  

  

  Fiff. 
  3. 
  

  

  5-0 
  

  

  to 
  

  

  30 
  

   10 
  

  

  n 
  

  

  

  

  

  * 
  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  \ 
  

  

  

  ClbTU 
  for 
  

  

  plo.lt 
  

  

  A, 
  £ 
  iftHO 
  charged 
  

  

  negatively 
  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  \ 
  

  

  

  

  

  

  

  

  

  

  

  

  

  

  V 
  

  

  

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  SL 
  ~~-~- 
  

  

  

  

  

  

  | 
  

  

  

  

  

  

  Time 
  

  

  in. 
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  oars 
  

  

  

  

  

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  , 
  

  

  

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  /p 
  

  

  

  

  

  

  

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  l 
  

  

  

  

  

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  /• 
  

  

  t 
  pk 
  

  

  V. 
  B 
  

  

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  i 
  

  

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  hina 
  ckuntd 
  nee 
  

  

  citiy-e. 
  

  

  h 
  

  

  

  

  i 
  

   i 
  

  

  

  

  * 
  J 
  j 
  j 
  j 
  

  

  

  

  

  II 
  1 
  I 
  1 
  __ 
  

  

  

  60 
  

  

  

  

  

  

  

  

  1 
  

  

  

  

  

  

  

  

  - 
  

  

  

  

  

  

  

  

  

  

  

  current 
  densities 
  between 
  C 
  and 
  A 
  and 
  between 
  G 
  and 
  B 
  

   respectively, 
  we 
  have 
  on 
  the 
  assumption 
  of 
  Ohm's 
  law 
  

  

  a 
  = 
  

  

  kY 
  

  

  h= 
  

  

  JcY 
  

  

  a 
  J. 
  b 
  

  

  where 
  k 
  is 
  a 
  constant. 
  

  

  At 
  the 
  end 
  of 
  the 
  time 
  St 
  the 
  effect 
  on 
  the 
  potential 
  of 
  all 
  

  

  the 
  bodies 
  concerned 
  is 
  the 
  same 
  as 
  if 
  a 
  quantity 
  of 
  electricity 
  

  

  kY 
  

   of 
  amount 
  — 
  £>£ 
  per 
  sq. 
  cm. 
  had 
  been 
  transferred 
  in 
  the 
  form 
  

   a 
  1 
  £y 
  

  

  of 
  a 
  layer 
  from 
  C 
  to 
  A 
  and 
  a 
  quantity 
  -7— 
  & 
  per 
  sq. 
  cm. 
  had 
  

  

  been 
  transferred 
  in 
  the 
  form 
  of 
  a 
  layer 
  from 
  C 
  to 
  B. 
  Now 
  

   if 
  an 
  infinite 
  layer 
  of 
  electricity 
  of 
  surface 
  density 
  a 
  is 
  

   moved 
  through 
  a 
  distance 
  x 
  towards 
  a 
  point 
  P, 
  the 
  potential 
  

   of 
  the 
  point 
  will 
  be 
  raised 
  by 
  2tt<txIic, 
  where 
  k 
  is 
  the 
  specific 
  

   inductive 
  capacity 
  of 
  the 
  medium; 
  so 
  that 
  applying 
  this 
  to 
  

  

  