﻿of 
  comparing 
  the 
  Self-Inductance 
  of 
  a 
  Coil. 
  435 
  

  

  known 
  as 
  Yaschy^s 
  or 
  Pirani's 
  method, 
  and 
  the 
  arrows 
  show 
  

   the 
  currents 
  in 
  the 
  various 
  meshes. 
  

  

  BI.E 
  

  

  f^Q) 
  ?) 
  

  

  The 
  following 
  are 
  the 
  expressions 
  for 
  the 
  Electrokinetic 
  

   Energy, 
  the 
  Dissipation 
  Function, 
  and 
  the 
  Electrostatic 
  

   Energy 
  respectively, 
  the 
  mutual 
  inductances 
  being 
  taken 
  

   zero 
  : 
  — 
  

  

  T 
  = 
  iL2/^ 
  + 
  iXP, 
  ' 
  . 
  . 
  . 
  (5) 
  

  

  -\-\r{y-UY 
  + 
  ^Q-z\ 
  ... 
  (6) 
  

   V 
  = 
  iizVK-E.7; 
  (7) 
  

  

  Differentiating 
  these 
  expressions 
  to 
  find 
  the 
  terms 
  of 
  the 
  

   equations 
  of 
  type 
  (4), 
  or 
  applying 
  Kirchhoff's 
  second 
  law 
  

   directly 
  to 
  each 
  mesh 
  of 
  the 
  network, 
  we 
  have 
  

  

  B.i 
  + 
  PGi'-2/-:-) 
  + 
  Q(i— 
  2/) 
  = 
  E, 
  (8) 
  

  

  l,y-V(Jc-^il--i)-'q{x-y) 
  + 
  -R{y 
  + 
  i) 
  + 
  ^y^ru 
  = 
  Q 
  . 
  (9) 
  

  

  \z-V{x-y-z) 
  + 
  ^{y 
  + 
  z)-\-(}z 
  = 
  0, 
  (10) 
  

  

  -K2/-^"0+WK 
  = 
  . 
  (11) 
  

  

  