﻿Conductor 
  of 
  Uniform 
  Thickness. 
  

  

  739 
  

  

  of 
  the 
  conductors 
  through 
  the 
  points 
  P 
  and 
  Q 
  situated 
  at 
  

   considerable 
  distances 
  from 
  the 
  change 
  of 
  section 
  and 
  on 
  

   opposite 
  sides 
  of 
  it, 
  is 
  equal 
  to 
  the 
  sum 
  of 
  the 
  resistances 
  of 
  

   the 
  lengths 
  of 
  conductor 
  on 
  the 
  two 
  sides 
  of 
  the 
  change 
  of 
  

   section, 
  each 
  considered 
  as 
  part 
  of 
  an 
  infinite 
  length, 
  plus 
  the 
  

   resistance 
  of 
  a 
  length 
  of 
  either 
  conductor 
  equal 
  to 
  

  

  times 
  the 
  breadth 
  of 
  that 
  conductor. 
  

  

  When 
  the 
  ratio 
  of 
  the 
  breadths 
  c/h 
  = 
  n 
  becomes 
  large, 
  the 
  

   correction 
  approximates 
  to 
  

  

  2 
  

  

  — 
  (log 
  6 
  n 
  — 
  *386), 
  

  

  and 
  when 
  very 
  large 
  to 
  

  

  2, 
  

  

  - 
  log 
  e 
  w. 
  

  

  IT 
  ° 
  

  

  When, 
  on 
  the 
  other 
  hand, 
  the 
  ratio 
  n 
  of 
  the 
  breadths 
  becomes 
  

   nearly 
  unity 
  the 
  correction 
  approximates 
  to 
  

  

  fn-1) 
  2 
  

  

  {l 
  + 
  i^SZl}' 
  

  

  and 
  when 
  it 
  is 
  very 
  nearly 
  unity 
  to 
  

  

  (n-iy 
  

  

  IT 
  

  

  {l-19-log.(n-l)}. 
  

  

  In 
  order 
  to 
  exhibit 
  the 
  character 
  of 
  this 
  correction 
  the 
  

   following 
  table 
  has 
  been 
  calculated. 
  

  

  Correction 
  to 
  be 
  added 
  to 
  the 
  length 
  of 
  one 
  conductor 
  in 
  terms 
  of 
  

   the 
  breadth 
  of 
  that 
  conductor, 
  in 
  order 
  to 
  make 
  the 
  total 
  

   resistance 
  equal 
  to 
  the 
  sum 
  of 
  the 
  resistances 
  of 
  the 
  two 
  

   conductors, 
  each 
  considered 
  as 
  part 
  of 
  a 
  conductor 
  of 
  infinite 
  

   length. 
  

  

  Ratio 
  of 
  

   breadths. 
  

  

  No. 
  of 
  breadths 
  to 
  

   be 
  added 
  to 
  length. 
  

  

  Eatio 
  of 
  

   breadths. 
  

  

  No. 
  of 
  breadths 
  to 
  

   be 
  added 
  to 
  length. 
  

  

  10 
  

  

  

  

  30 
  

  

  •48 
  

  

  12 
  

  

  032 
  

  

  4-0 
  

  

  •65 
  

  

  1-4 
  

  

  •080 
  

  

  60 
  

  

  •90 
  

  

  17 
  

  

  •17 
  

  

  100 
  

  

  1-24 
  

  

  20 
  

  

  •25 
  

  

  150 
  

  

  1-46 
  

  

  25 
  

  

  •37 
  

  

  20-0 
  

  

  1-65 
  

  

  3 
  C 
  2 
  

  

  