. The Bell System technical journal . L2 I ^ I )MV9 III P -r^^ -r^9 Fig. —The oscillator circuit (A) is equivalent to the filter circuit (B). Fig. —Oscillator circuit in which the crystal operates at its seriesresonant frequency Vector Method or Oscillator Analysis A convenient method of examining the effect of certain circuit variableson frequency and the necessary conditions for oscillation is by the vectorrepresentation of the voltages and currents in the circuit. Much of Heis-ings^* early work on the analysis of electric oscillators by vector methods isdirectly applicable t
. The Bell System technical journal . L2 I ^ I )MV9 III P -r^^ -r^9 Fig. —The oscillator circuit (A) is equivalent to the filter circuit (B). Fig. —Oscillator circuit in which the crystal operates at its seriesresonant frequency Vector Method or Oscillator Analysis A convenient method of examining the effect of certain circuit variableson frequency and the necessary conditions for oscillation is by the vectorrepresentation of the voltages and currents in the circuit. Much of Heis-ings^* early work on the analysis of electric oscillators by vector methods isdirectly applicable to crystal oscillators. Boella analyzed the crystaloscillator circuit by this method and treated in detail the effect of thedecrement of the crystal on the oscillating frequency. Since some engineersprefer this method of qualitative analysis to approximate equations it willbe briefly explained. The vector diagrams for the two conditions, crystal between grid andplate and between grid and cathode, are shown in Figure and B asapplied to the circuit diagrams, Figure and B, respectively when inthe simplified form of Figure
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