﻿Conductor 
  of 
  Uniform 
  Thickness. 
  

  

  737 
  

  

  or 
  for 
  the 
  edge 
  1A 
  kept 
  at 
  one 
  potential 
  and 
  the 
  whole 
  of 
  

   the 
  remainder 
  of 
  the 
  edges 
  at 
  another. 
  

  

  Fie 
  

  

  -2 
  

  

  3. 
  

  

  -3 
  

  

  Full 
  lines 
  are 
  equipotential 
  lines, 
  dotted 
  lines 
  are 
  stream 
  lines, 
  when 
  

   the 
  end 
  1A 
  is 
  kept 
  at 
  potential 
  9, 
  and 
  the 
  rest 
  of 
  the 
  contour 
  at 
  0. 
  

   Ratio 
  of 
  breadths 
  1:2. 
  __ 
  

  

  The 
  curves 
  in 
  the 
  z 
  plane 
  corresponding 
  to 
  log 
  J= 
  constant 
  

   in 
  the 
  f 
  plane 
  are 
  shown 
  in 
  fig. 
  4 
  lower 
  part, 
  and 
  represent 
  

   the 
  equipotential 
  and 
  stream 
  lines 
  for 
  a 
  current 
  flo 
  wing- 
  

   along 
  the 
  two 
  strips 
  in 
  series. 
  The 
  upper 
  part 
  shows 
  the 
  

   observed 
  equipotential 
  lines 
  *. 
  

  

  Fig. 
  4. 
  

  

  Lower 
  part 
  equipotential 
  and 
  stream 
  lines 
  calculated 
  ; 
  upper 
  part 
  

   equipotential 
  lines 
  observed. 
  Ratio 
  of 
  breadths 
  1 
  : 
  2. 
  

  

  To 
  determine 
  the 
  resistance 
  of 
  the 
  compound 
  conductor 
  

   to 
  the 
  flow 
  of 
  current 
  along 
  its 
  length, 
  we 
  find 
  the 
  distri- 
  

   bution 
  of 
  the 
  potential 
  in 
  the 
  corresponding 
  problem 
  in 
  the 
  

   £ 
  plane. 
  This 
  is 
  the 
  case 
  of 
  a 
  source 
  at 
  the 
  point 
  £ 
  = 
  77 
  = 
  0, 
  

   sending 
  a 
  current 
  C 
  into 
  the 
  upper 
  half 
  of 
  the 
  plane. 
  

  

  * 
  I 
  have 
  to 
  thank 
  my 
  colleague 
  Mr. 
  W. 
  H. 
  White 
  for 
  making 
  the 
  

   observations 
  on 
  a 
  thin 
  strip 
  of 
  german 
  silver 
  transmitting 
  an 
  electric 
  

   current, 
  from 
  which 
  these 
  curves 
  have 
  been 
  drawn. 
  

  

  Phil. 
  Mag. 
  S. 
  6. 
  Vol. 
  16. 
  No. 
  95. 
  Nov. 
  1908. 
  3 
  C 
  

  

  