﻿Measurement 
  hy 
  Alternating 
  Currents. 
  75 
  

  

  Method 
  8. 
  

  

  6 
  2 
  M(M 
  + 
  L)=rR 
  2£ 
  2 
  M 
  2 
  =rR 
  + 
  (rB)' 
  

   or 
  

  

  im 
  (M 
  - 
  L) 
  = 
  (rR) 
  ' 
  26 
  2 
  LM 
  = 
  rR 
  - 
  (rR)'. 
  

  

  Placing 
  a 
  capacity 
  in 
  the 
  circuit 
  R, 
  we 
  have 
  also 
  

  

  or 
  

  

  6 
  2 
  M(M-L) 
  + 
  ^ 
  =? 
  J 
  R. 
  

  

  To 
  correct 
  for 
  the 
  self-induction, 
  /, 
  of 
  r 
  we 
  have 
  the 
  exact 
  

   equations 
  

  

  PM(M+L)=rR+W(L 
  + 
  M) 
  

  

  5 
  2 
  M(M-L) 
  = 
  rR-F^(L-M) 
  

  

  6 
  2 
  M(M 
  + 
  L)- 
  ^ 
  =r»R-6 
  2 
  ^L 
  + 
  M- 
  JL) 
  

  

  6 
  2 
  M(M-L) 
  + 
  ^ 
  = 
  r 
  R-5 
  2 
  /L-M-^\ 
  

  

  If 
  the 
  condenser 
  is 
  put 
  in 
  r, 
  we 
  have 
  

  

  L±M 
  =r 
  E-& 
  2 
  M(L 
  + 
  M) 
  

  

  or 
  

  

  ;.2 
  

  

  ^^=rR 
  + 
  6 
  a 
  M(L-M). 
  

  

  Method 
  9. 
  

   L'M-g=E 
  / 
  [R'+K 
  / 
  +^ 
  / 
  ] 
  

  

  Making 
  R" 
  =<» 
  and 
  r 
  + 
  R'=»', 
  we 
  have 
  

  

  -6 
  2 
  L'M+^ 
  or 
  M/M-^B/r 
  + 
  B,). 
  

  

  