?,e86 BELL SV}STmrK^I\MBm£A'^SAM)URNAL 



linearly with time to a value I a at a time A/, ani^ rt4nrt5iia&xlcw6^ajjti{>^er(f^i§5. 



, There will be a return current across the-^ap, the negative of the injected 



current and delayed by the drift time r wim respect to the injected current. 



.(afJnjcaflaiilattiatgvth^ tosponnse-.tc^Vtliis qpgplidd tfMiprenb, Aa>atiexi Q^lwillobiqaS- 



^slilnlediitia) be (inf]tnilbv[actuaUy^)tihqr;shaJib3ieffis1tariee[Iwlll'ibfe ipiasmtiifvea^lifeh 



the current is smaH ifitd rtega;thT€i;U'bbDijthfi|Cjn"5eiitil^onadS)fIar|[esesinpgh 



so that the electronic conductance is larger in magnitude than the circuit 



conductance. The assumption of zero conductance should, however, give 



us an idea of the transient which would be effective in starting the oscillator. 



If a charge dq is put onto a capacitance C = M/coo forming part of a 



resonant circuit of frequency coo , the subsequent voltage across the circuit 



will be 



dV - ^ e'"'' dq. g8) 



We see that for times late enough so that the injected and returned current 

 are both constant, the voltage due to our assumed current will be 



•^' / r' 



dto 



M \Jq At Jm 



- C ^'-^-^ e^"^'-'»' dt, - f e^"^'-"^' dt}\ 



Ci9) 



Integrating, we find 



'■ = {liik) (' - ^"")(e-'"" - 1). am) 



If we have n + 3/4 cycle drift, 



e-^'""=~j. (jll) 



The extreme value of («""""" — l)is— 2. For this value we would obtain 



I T |2 2/o rin\ 



M^At^uiQ 

 From this and (j7) we obtain 



Taking the values 



VI ^ eQAt\l 



Tp 2/o 



e = 1.59 X l(r^^ coulombs 



/o = .2 amperes 



Q = 400 (loaded Q) 



At = .2 X 10"'' seconds 



Wo = 25 X 10^ radians/second. 



Gi^^) 



