@Fcfusion - I don't fully understand where you get the formula for the Vo/Vi from.
To make a transistor in common collector circuit oscillate, it's no sufficient to have a gm roll-off and a feeback less than unity. You'll need additional reactant circuit elements, either in the load or provided by wire and package inductances.
You need with a loop gain below unity.You don't need inductors for a circuit to oscillate.
As another point, the 47 ohm resistor avoids cross-over distortions at low output level by bypassing the output stage, but the cicruit still involves non-linearities that will show up as only moderate THD numbers. A true class AB stage (with some bias current) performs considerably better.
Quality should be sufficient in this range.This is not for a Hi-Fi system but for a communications headset.
You calculate: ie = ib - ic = (vin - Vout)/R1 + (-gm (Vin - Vout)) = (1/R1 - gm)(Vin - Vout)
In other words, you find that the current through R1 (and parallel rb dynamic resistanceI and and collector current appearing at the emitter have opposite polarity. But this isn't true. They have equal polarity.
I agree. The resistor alone can't cause it. There are several parameters involved like the OP output impedance, the transistor package parasitics, the wiring inductance and mutual coupling, and the load.Too bad. Anyway, I'm still puzzled how the 47 ohm resistor influences stability. With the corrected equation, that resistor should not cause oscillations.
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