﻿that 
  of 
  Three 
  Electrified 
  Spherical 
  Conductors. 
  389 
  

  

  sphere 
  B, 
  and 
  a 
  series 
  I 
  2 
  , 
  I 
  4 
  , 
  I 
  6 
  , 
  I 
  8 
  , 
  &c. 
  inside 
  A. 
  Let 
  A 
  n 
  , 
  

   B 
  /t 
  denote 
  the 
  potentials 
  due 
  to 
  the 
  charges 
  on 
  the 
  spheres 
  A 
  

   and 
  B 
  at 
  the 
  point 
  I„, 
  and 
  B 
  the 
  potential 
  due 
  to 
  the 
  charge 
  

   on 
  B 
  at 
  the 
  centre 
  ot 
  xV. 
  

  

  Fig.l. 
  

  

  "We 
  have 
  

  

  nd, 
  likewise. 
  

  

  Oili 
  . 
  A 
  1 
  + 
  aB 
  2 
  = 
  aA. 
  

  

  0,1 
  

   I 
  

  

  . 
  B 
  - 
  

   2 
  . 
  B, 
  

  

  a 
  ~ 
  _ 
  p 
  aA 
  

  

  g- 
  p 
  _p 
  aA 
  

   o 
  2 
  v 
  4 
  <W 
  

  

  o 
  2 
  i 
  4 
  

  

  a 
  

  

  4 
  . 
  B 
  4 
  -^V 
  . 
  B 
  C 
  =B- 
  

  

  aA 
  

   0J? 
  

  

  0.1 
  

  

  ■J 
  • 
  A>2» 
  

  

  oS7r 
  B2 
  » 
  +a 
  - 
  15 
  oa 
  

  

  2« 
  + 
  l 
  

  

  Hence 
  we 
  have 
  

  

  c 
  p 
  _ 
  p 
  «A 
  / 
  aA 
  \ 
  ab 
  

  

  aA 
  

  

  ill 
  

  

  a 
  A 
  

  

  aA 
  \ 
  a/> 
  

  

  Jo* 
  

  

  a 
  2 
  6 
  2 
  

  

  B 
  " 
  0^ 
  ) 
  ojTToj's 
  • 
  oa 
  . 
  o;r 
  2 
  . 
  o 
  2 
  i, 
  . 
  o 
  2 
  t 
  6 
  

   + 
  

  

  / 
  aA 
  \ 
  a 
  n 
  b 
  n 
  

  

  + 
  \ 
  Oj^iJ 
  'OA 
  1 
  I 
  2n 
  _ 
  1 
  .0 
  2 
  I 
  2 
  2 
  I 
  2w 
  

  

  -f 
  

  

  Phil 
  Mag. 
  S. 
  6. 
  Vol. 
  35. 
  No. 
  209. 
  May 
  1918. 
  2 
  E 
  

  

  