334 Mr. Gr. U. Yule on the Passage of Oscillator 



I ~ = l-26 2 cos2p 2 £ 2 +6 4 

 cos 2p 2 t2 — b 2 



2c f b \-2b 2 eo$2p 2 t 2 + b 4 < 



+ b* 



_ 2b 2 (l-cos2p 2 t 2 ) . . 



" l-2& 2 cos2 i V 2 + M> ' • - * [ 0) 



which is the ordinary expression for ' Newton's Rings by 

 Reflexion.' 



VI. Discussion of an Experimental Case and a Correction. 



This section is independent of the rest of the paper, being 

 devoted to the discussion of a correction necessary in the 

 experimental case mentioned at the beginning. 



It has been stated already in the introduction that the 

 theory, sections IV. & V., does not give numerical results agree- 

 ing closely with the experimental ones. For all the values of 

 PJP\ 1 tried the calculated points lay continually below the 

 experimental determinations. Dr. Barton found exactly the 

 same peculiarity in his analogous experiments, and suggested 

 that it might be due to the coursing of the wave-trains back- 

 wards and forwards along the wire circuit between the 

 oscillator and the closed end. Working from this idea he 

 arrived at a correction formula*, which, however, is not 

 immediately applicable to our case. The following analysis 

 is equivalent to Dr. Barton's though differing in method. 



Let ABC (fig. 5) represent our circuit, B being the electro- 

 lyte, A the oscillator, the closed end. 



Fig. 5. 



1 1 





-i 



d X 



Let r and d be the reflexion and transmission coefficients 

 at the electrolyte, with regard to energy, so that 



i* = *I<W l r = rl 0' 



Let e and % be similar coefficients for the two halves of the 



* ' Thesis/ p 16, section V. 



