Hartley Oscillator:
Figure 1, shows Hartley oscillator when LC tank is resonant, the circulating current flows through L1 in series with L2. Thus, equivalent inductance is L = L1 + L2.
Figure 1
In the oscillator, the feedback voltage can be developed by the inductive voltage divider, L1 & L2. Since output voltage appears across L1 and feedback voltage across L2, the feedback fraction can be given by
β = V / Vout = XL2 / XL1 = L2 / L1
As usual, loading effect of the base is ignored. For the oscillations to begin, the voltage gain should be greater than 1/ β. The frequency of oscillation can be given by
Likewise, an op-amp based Hartley oscillator circuit is shown in the figure 2.
Figure 2
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