Osc. Conductance 



KENNELLY. — OSCILLATING-CURRENT CIRCUITS. 

 , , , . O >t^l/T:=M P 



nary time-constant l/r when the cir- 

 cuit is non-oscillatory and the conden- 

 ser is short-circuited. The oscillation 

 time -constant is thus double the 

 ordinary time-constant. If, as in 

 Figure 7, we take r = 200 ohms in 

 the same circuit as has been consid- 

 ered in Figures 3, 4 and 5, t = 0.001 

 second. 



The time-constant reciprocal of the 

 oscillating-current circuit is 



2, = - = J- seconds ^ , (15) 



T * 



In the w-diagram of Figure 7, draw 

 OP = -t, to a suitable scale of recip- 

 rocal-seconds, in the direction of 

 reference, or along the real axis in 

 the positive direction. From F draw 

 a line PQ in the — j direction, or 

 perpendicular to OF. With center 

 O, and radius OQ equal, on the 

 adopted scale, to the value of the 

 resistanceless angular velocity 



<"o = Vs/l, 



obtained as in Figure 3, intersect the 

 line FQ in Q. Then the intercept 

 FQ will measure, to scale, the angu- 

 lar velocity w of the oscillation in the 

 circuit with the resistance r present. 

 Or analytically, 



385 



In.Yecfor . "-^ Ai^)>l: 

 J)i.ssi.t'aJ"ti>e Carrtnt 



d Vj = UlJIflmj, e . 3.b5js/| . d' 



%:¥■'■ 



'iissCjial'i-iM Tower 



g 



oi = \/ C0(,^ — x2 =: (Oq sin (f> 



radians per sec. (16) 



Figure 7. Stationary vector-diagrams 

 of angular velocity, admittance, vector 

 current strength, maximum cyclic power, 

 and energy in a simple o. c. circuit 

 containing resistance. Phase of p. d., 

 standard. 



VOL. XLVI. — 25 



TTlax, Cijetit 



2 v\f2u>^u^/^M r n ] 



l-3b08 



I'JfeOS 



