Electronic – How does this FM transmitter work

antennaoscillatorpower electronicstransmitter

I'm an electronics student and I have been trying to understand this FM transmitter diagram (taken from electronicshub.org) for a long time. I had put efforts to learn it by surfing the web but parts of the circuit remain totally puzzling to me. It would be really grateful if anyone could explain the diagram thoroughly and as detailed as possible from top to bottom.

I even don't understand why the capacitors C2, C4 (I thought C4 should be parallel to R5 as in voltage biasing circuits bypass capacitors are used, don't know why it is in series), C5 and C9 are used in the circuit. Some websites say the capacitor C9 is used to stabilize the LC oscillation in the tank circuit but I want to know how it does so?

And what about the C8 and L2 tank, why is another tuned oscillator added at the last? Mathematical explanations are very much welcomed.
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Best Answer

Q1 amplifies audio with a gain of approximately R4/R5. This audio feeds Q2 (an oscillator) and modulates its base-collector miller capacitance thus producing a varying output frequency. Q3 is an RF amplifier to provide more RF signal to the antenna.

That's the intention but there is a problem (as mentioned), Q1 won't work and indeed C4 should either be shorted out or possibly bypass R5.

C5 is to remove RF artefacts from Q2's base. At RF, the miller capacitor is in series with C5 and, if the power supply is correctly decoupled that series circuit (as far as RF is concerned) appears in parallel with CF6 (the tank capacitor)

C9 is positive feedback to allow Q2 to self oscillate.

The tuned circuit on Q3 is just filtering to ensure the FM output doesn't produce harmonics that might overlap onto other stations.