80 THE ROYAL SOCIETY OF CANADA 



In the experimental determination of the discharge curve the 



following values were used : 



Ci = 10"^ farad. 



C2 = -27 (10)-^ farad (capillary No. 12). 



L = -81 henries. 



Ri = 100 ohm. 



R2 = 171000 ohm (capillary No. 12, approximate value). 



C2 was measured by the method already outlined and is the value 



for zero difference in potential. The resistance was determined from 



the discharge curve as explained later. 



The A equation becomes 



A» + 150, 3A2+ 1,238,700 A + 26,741,000 = (12) 



Trial shews one root to be —21-64, and the resulting equation yields 



the roots - 64 • 33 ± 1 1 10 i (13) 



so that a = -64-33 ^ = 1110. 



In 

 and the period — = -00566. 



The period obtained by experiment is • 00567 sec. 

 We may now determine the constants of integration, 



for when t = q^ = Q^,^^^ = 0, qi = Qi and ^' = 



dt dt 



of which one is redundant. 

 Take a + A = Q2 



a A + a A + /? B = 0. and 

 aA2+a2A + 2«i8B-i82A = 

 Solving and substituting values, we have 

 a = 1-00188 Q2 1 



A = -^-00188 02 \ (14) 



B = OOI94Q2 J 



and =tan~M0-32=-84<'-28^ 

 0) =tan"^ 23-93 = 870 48^ 

 (f>^ = tan^ -05816 = 3i019 

 We may obtainjqa experimentally by inserting K2 at z, qx by inserting 

 at y and qi+q2 by inserting at x (Fig. 2) 



Since Q2= ^' Qi = •27Qx 



9938 cos 1110t+-0633\ .... 

 sin mot / ^^^^ 



If we usejthe capillary electrometer to indicate the potential 

 without determining qi or q2,we may insert key K2 at either z or x, 

 when we obtain the potential of the electrometer at the instant of 



-+-«■{. ansr'T ;"•"'(•' 



