﻿488 
  Prof. 
  G. 
  W. 
  0. 
  Howe 
  on 
  the 
  

  

  failing 
  to 
  consult 
  Austin's 
  original 
  paper, 
  he 
  has 
  lost 
  sight 
  

   of! 
  the 
  facts 
  and 
  has 
  attempted 
  to 
  prove 
  something 
  which 
  

   arose 
  solely 
  owing 
  to 
  an 
  unfortunate 
  misunderstanding 
  on 
  

   the 
  part 
  of 
  Prof. 
  Love. 
  

  

  Mr. 
  van 
  der 
  Pol 
  says, 
  " 
  In 
  discussing 
  some 
  experiments 
  

   by 
  Dr. 
  Austin, 
  Prof. 
  Love 
  makes 
  use 
  of 
  the 
  audibility 
  

   factor 
  defined 
  as 
  (R 
  + 
  S)/S, 
  where 
  S 
  is 
  the 
  resistance 
  of 
  the 
  

   shunt 
  and 
  R 
  the 
  telephone 
  resistance" 
  This 
  is 
  true, 
  but 
  

   unfortunately 
  Prof. 
  Love 
  overlooked 
  the 
  fact 
  that, 
  although 
  

   Austin 
  gives 
  the 
  resistance 
  of 
  the 
  telephone 
  receiver 
  as 
  

   600 
  ohms, 
  he 
  adds 
  a 
  footnote 
  to 
  the 
  effect 
  that 
  " 
  the 
  in- 
  

   ductive 
  resistance 
  of 
  each 
  telephone 
  used 
  in 
  calculating 
  the 
  

   shunt 
  ratio 
  was 
  2000 
  ohms." 
  No 
  one 
  can 
  doubt 
  that 
  by 
  

   inductive 
  resistance 
  Austin 
  means 
  impedance, 
  so 
  that 
  both 
  

   Austin 
  and 
  Hogan 
  used 
  the 
  impedance 
  in 
  calculating 
  the 
  

   audibility 
  factors 
  which 
  constitute 
  the 
  ordinates 
  of 
  the 
  points 
  

   in 
  figs. 
  3 
  & 
  4 
  which 
  Prof. 
  Love 
  reproduces 
  from 
  Hogan's 
  

   paper. 
  Prof. 
  Love's 
  Table 
  IV. 
  based 
  on 
  the 
  simple 
  re- 
  

   sistance 
  of 
  the 
  telephone 
  receiver 
  gives 
  results 
  which 
  are 
  

   quite 
  incomparable 
  with 
  the 
  plotted 
  results 
  of 
  Hogan's 
  

   observations. 
  It 
  should 
  also 
  be 
  pointed 
  out 
  that 
  Hogan 
  

   definitely 
  states 
  that 
  in 
  his 
  experiments 
  R 
  is 
  the 
  impedance 
  

   of 
  the 
  telephone, 
  as 
  correctly 
  quoted 
  by 
  Prof. 
  Love 
  (p. 
  126). 
  

   For 
  this 
  reason 
  his 
  adverse 
  criticism 
  of 
  the 
  conclusions 
  

   reached 
  by 
  Austin 
  and 
  Hogan 
  needs 
  revision. 
  

  

  If 
  Table 
  IV. 
  is 
  recalculated 
  using 
  the 
  value 
  of 
  R 
  employed 
  

   by 
  Austin, 
  viz. 
  2000 
  ohms, 
  the 
  following 
  results 
  are 
  obtained: 
  

  

  Shunt 
  S. 
  

   Ohms. 
  

  

  Current 
  I. 
  

   10" 
  6 
  amp. 
  

  

  

  0-5 
  

  

  

  672 
  

  

  113 
  

  

  1 
  

  

  

  474 
  

  

  112 
  

  

  10 
  

  

  

  150 
  

  

  112 
  

  

  50 
  

  

  

  68 
  

  

  112-5 
  

  

  100 
  

  

  

  49 
  

  

  114 
  

  

  400 
  

  

  

  26 
  

  

  1125 
  

  

  3000 
  

  

  

  13 
  

  

  111-5 
  

  

  The 
  last 
  column 
  shows 
  that 
  there 
  is 
  not 
  the 
  slightest 
  

   foundation 
  for 
  Prof. 
  Love's 
  statement 
  that 
  " 
  the 
  results 
  of 
  

   these 
  experiments 
  are 
  recorded 
  by 
  him 
  [Austin] 
  in 
  a 
  table 
  

   which 
  does 
  not 
  support 
  the 
  conclusion 
  that 
  the 
  current 
  is 
  

   proportional 
  to 
  the 
  square 
  root 
  of 
  the 
  audibility 
  factor." 
  In 
  

   view 
  of 
  the 
  experimental 
  difficulties 
  the 
  proportionality, 
  as 
  

   indicated 
  by 
  the 
  constancy 
  of 
  the 
  values 
  given 
  in 
  the 
  last 
  

   column, 
  is 
  wonderfully 
  exact 
  and 
  speaks 
  well 
  for 
  the 
  expe- 
  

   rimental 
  skill 
  of 
  those 
  who 
  carried 
  out 
  the 
  measurements. 
  

  

  It 
  is 
  seen 
  therefore 
  that 
  the 
  peculiar 
  relationship 
  which 
  

  

  