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BELL SYSTEM TECHNICAL JOURNAL 



40 



fo 



G-C 



9 2.8- 



UlCp = 



0OL2 



C2 ■ 



Fig. 12.10 — Experimental curves, showing the relation between the frequency of a quartz 

 oscillator and the capacitance of the oscillatory circuit for various values of 



the grid leak 



12.20 Solution by Complex Functions 

 The analysis of oscillator circuits may be simplified when only steady 

 state conditions are of interest, all circuit elements are considered linear, 

 and certain requirements which define the conditions necessary for oscilla- 

 tions are known. Under these conditions the common circuit equations 

 of complex numbers give the information desired. In this method the 

 voltage induced in the plate circuit is considered the driving voltage which 

 produces a current in the grid circuit (see Fig. 12.11). The network be- 



pvg 



Fig. 12.11 — Equivalent circuit of Pierce and Miller types of oscillators shown 



in Fig. 12.12 



