﻿538 
  Prof. 
  D. 
  N. 
  Mallik 
  on 
  Magnetic 
  

  

  u 
  = 
  velocity 
  of 
  an 
  ion, 
  clue 
  to 
  rotation 
  at 
  a 
  distance 
  r 
  

  

  from 
  the 
  axis 
  ; 
  

   n 
  = 
  number 
  of 
  ions 
  per 
  unit 
  length 
  of 
  the 
  discharge, 
  

   positive 
  and 
  negative 
  ; 
  

   Ai, 
  A 
  2 
  = 
  the 
  retardations 
  of 
  + 
  and 
  — 
  ions 
  respectively 
  

   per 
  unit 
  velocity 
  ; 
  

   ds 
  = 
  an 
  element 
  of 
  length 
  of 
  discharge. 
  

  

  Again, 
  if 
  

  

  IS 
  = 
  electric 
  intensity 
  along 
  the 
  line 
  of 
  discharge, 
  

   e 
  = 
  charge 
  on 
  an 
  ion, 
  

   K 
  l3 
  K 
  2 
  = 
  the 
  velocities 
  of 
  + 
  and 
  — 
  ions 
  under 
  unit 
  

   electric 
  intensity 
  ; 
  

  

  then 
  K 
  X 
  S, 
  K 
  2 
  S 
  will 
  be 
  the 
  velocities 
  of 
  the 
  ions 
  along 
  the 
  

   line 
  of 
  discharge. 
  

  

  Similarly, 
  A 
  2 
  =|r- 
  

  

  .\ 
  the 
  equation 
  ot' 
  motion 
  becomes 
  

  

  Ioj= 
  - 
  mi 
  — 
  to 
  ne 
  I 
  ^>- 
  + 
  >^ 
  ) 
  \ 
  r 
  2 
  ds 
  

   2 
  V>i 
  W 
  J 
  

  

  3 
  . 
  

  

  ^mi 
  — 
  yud), 
  say 
  

  

  This 
  gives 
  

  

  3 
  mi 
  

   "2 
  - 
  r 
  

  

  (!_.-;■} 
  

  

  '. 
  when 
  the 
  steady 
  state 
  is 
  reached, 
  

   4 
  mi 
  

  

  CJ 
  = 
  

  

  Moreover, 
  

  

  S^Ki 
  + 
  KJn^t; 
  

  

  co 
  K 
  a 
  K 
  2 
  S 
  

  

  21. 
  Experiments 
  * 
  were 
  made 
  to 
  obtain 
  the 
  law 
  connecting 
  

  

  * 
  Similar 
  experiments 
  with 
  a 
  different 
  apparatus 
  have 
  also 
  been 
  made 
  

   by 
  Prof. 
  H. 
  A. 
  Wilson 
  and 
  Mr. 
  Martyn 
  (Phil. 
  Trans. 
  June 
  1907). 
  

  

  