﻿on 
  Electric 
  Waves 
  in 
  Short 
  Wire 
  Systems. 
  

   Table 
  I. 
  

  

  591 
  

  

  Wire- 
  

  

  length, 
  

  

  in 
  

   metres. 
  

  

  7-00 
  

   8-98 
  

   9-47 
  

   10-05 
  

   10-05 
  

   12-05 
  

   1500 
  

   17-50 
  

   20-00 
  

   20-00 
  

   21-00 
  

   41-50 
  

  

  Wave-length 
  

   in 
  Air 
  of 
  

  

  Condenser 
  

   Radiation, 
  

  

  in 
  metres. 
  

  

  9-5 
  

   9-5 
  

   9-5 
  

  

  9*5 
  

  

  Slightly>22 
  

  

  9-5 
  

  

  95 
  

   ! 
  Slightly>22 
  

  

  9*5 
  

   Slightly>22 
  

   Slightly>22 
  

   Slightly>22 
  

  

  Observed 
  

  

  Inter- 
  

   node 
  X 
  2, 
  

   in 
  metres. 
  

  

  8-7 
  

  

  70 
  

  

  7-2 
  

  

  7-7 
  

  

  11-4 
  

  

  9-2 
  

  

  8-8 
  

  

  19-0 
  

  

  8-4 
  

  

  21-2 
  

  

  21-6 
  

  

  21-0 
  

  

  Calculated 
  internode 
  x2 
  for 
  various 
  

   number 
  of 
  nodes 
  in 
  wire- 
  length 
  

   4-1*6 
  metres. 
  

  

  Nodes. 
  

  

  2. 
  

  

  8-60 
  

   10-58 
  

   11-07 
  

   11-65 
  

   11-65 
  

   13-62 
  

  

  19-10 
  

   21-60 
  

   21-60 
  

   22-60 
  

  

  1 
  3 
  

   1 
  3 
  - 
  

  

  4. 
  

  

  5. 
  

  

  5-73 
  

  

  

  

  705 
  

  

  5-29 
  

  

  

  7-38 
  

  

  5-53 
  

  

  

  7*77 
  

  

  5-82 
  

  

  

  7-77 
  

  

  5-82 
  

  

  

  9-08 
  

  

  6-81 
  

  

  

  11-07 
  

  

  8-30 
  

  

  6-64 
  

  

  12-73 
  

  

  

  

  14-40 
  

  

  10-80 
  

  

  8-64 
  

  

  14-40 
  

  

  10-80 
  

  

  8-64 
  

  

  15-07 
  

  

  

  

  28-73 
  

  

  21-55 
  

  

  17-24 
  

  

  720 
  

   7-20 
  

  

  with 
  the 
  same 
  length 
  o£ 
  wire, 
  from 
  the 
  observed 
  distance 
  be- 
  

   tween 
  the 
  nodes; 
  and 
  Thomson's 
  value 
  o£ 
  the 
  specific 
  inductive 
  

   capacity 
  of 
  glass, 
  2*7, 
  as 
  deduced 
  from 
  experiments 
  described 
  

   in 
  Proc. 
  Roy. 
  Soc. 
  xlvi. 
  p. 
  292 
  (1889), 
  must 
  be 
  considered 
  

   quite 
  erroneous. 
  

  

  Experiments 
  with 
  the 
  Wires 
  Bridged. 
  

  

  When 
  the 
  detector 
  is 
  placed 
  near 
  the 
  ends 
  of 
  the 
  wires 
  

   and 
  a 
  bridge 
  moved 
  along 
  them, 
  maxima 
  deflexions 
  occur 
  as 
  

   shown 
  by 
  Lecher 
  (Wied. 
  Ann. 
  xli. 
  p. 
  850, 
  1890) 
  and 
  Rubens 
  

   ( 
  Wied. 
  Ann. 
  xlii. 
  p. 
  154, 
  1891), 
  when 
  the 
  lengths 
  of 
  the 
  two 
  

   circuits 
  into 
  which 
  the 
  wires 
  are 
  divided 
  by 
  the 
  bridge 
  are 
  

   in 
  the 
  ratio 
  of 
  small 
  odd 
  numbers. 
  Small 
  amounts 
  have 
  to 
  

   be 
  added 
  to 
  the 
  measured 
  lengths 
  of 
  the 
  two 
  circuits, 
  on 
  

   account 
  of 
  change 
  of 
  phase 
  by 
  reflexion. 
  Having 
  determined 
  

   the 
  positions 
  of 
  the 
  bridge 
  corresponding 
  to 
  maxima 
  deflexions, 
  

   assuming 
  that 
  these 
  positions 
  depend 
  only 
  on 
  the 
  lengths 
  of 
  

   the 
  two 
  circuits, 
  the 
  lengths 
  to 
  be 
  added 
  may 
  be 
  determined 
  

   in 
  the 
  well-known 
  way. 
  Let 
  M 
  be 
  the 
  total 
  length 
  of 
  one 
  

   of 
  the 
  wires, 
  a 
  the 
  distance 
  of 
  the 
  bridge 
  from 
  their 
  free 
  ends 
  

   for 
  any 
  maximum, 
  I 
  the 
  length 
  of 
  the 
  bridge, 
  c 
  the 
  amount 
  to 
  

   be 
  added 
  to 
  the 
  free 
  ends 
  of 
  the 
  wires, 
  (J 
  that 
  to 
  the 
  other 
  

   ends. 
  The 
  measured 
  lengths 
  of 
  the 
  two 
  circuits 
  are 
  

  

  ... 
  2(M-a) 
  + 
  Z, 
  :2a 
  + 
  l; 
  

  

  let 
  the 
  ratio 
  of 
  these 
  be 
  nearly 
  equal 
  to 
  m/n 
  where 
  m 
  and 
  n 
  

  

  2R2 
  

  

  