REFLEX OSCILLATORS 647 



Of this power, only a part is usefully delivered to the load admittance 

 Gl , the rest being dissipated because of the circuit loss conductance Gr . 

 The power lost in the circuit is 



P« = iG«F^ = ^4^«^' (el9) 



Accordingly, the useful power delivered to the load is 



P, = p - p^ (e20) 



A quantity of interest is the maximum useful power which can be ob- 

 tained from the reflex oscillator; this is given by 



^^ = - — ^ (e21) 



dX dd 



These two conditions are expressed by the next two equations. 



2X/o + 1 cot (-XVo - XVi) + I (ax' - iX')/o 

 a t7" \ 



-(-'^-*&)-'^- 



^ sin 



(e22) 



XJo + (-4 + XVi + cot e-2J, - ""^ a-^X' - 2X)Jo 



a 



+ (4 - ix' + iX')J,) + 1 (-fXVo + HX' + X')JO (e23) 



Gu 



jS2/o "0sin& 



One may note that even if one sets G« = and neglects terms in — the 



o- 



second of these equations is a little difi"erent from the corresponding one 



of Appendix III, so that a slightly different phase angle is predicted for 



maximum generated power. The result of Appendix III was 



e cot e = 1 



predicting a phase angle 6 slightly less than d„ = (;/ + f)27r. However, the 

 zero order result here is 



^ cot ^ = 2 - ^- = - .892 (e24) 



predicting a phase angle a trifle larger than 6,, , in the approximation of 

 Appendix III. 



