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How much distortion is acceptable? What power supply voltages are available?
Ideally I would like it as clean as what I'm able to produce with my Siglent ARB. I figured I could use a transistor amp, but wasn't sure about other components that might be needed, such as capacitors or inductors. I can throw whatever DC source on it to make it work, but would prefer 12Volts as that is also powering a fan.
If only a 12 volt supply is used, then an impedance matching circuit at the output is required because the peak-to-peak voltage for a 5 volt sine wave is 14.1 volts.
Obviously RF amplifiers can put out a lot more than 1/2 watt with a 12 volt supply. Besides impedance matching, the tank coil on the output increase the output voltage swing. So the simplest design will be a traditional single transistor RF amplifier and RF power amplifier design procedures can be followed.
A linear design like I suggested as a possibility is also feasible but will need a higher supply voltage, or more likely +/- 12 volts, or even higher if series source termination is used instead of parallel (1) unless something more exotic is done, like a 10 ohm series termination with positive feedback to make it look like 50 ohms; this is done to allow lower supply voltages. Or no termination can be used but then proper termination at the load becomes mandatory.
There are class-AB amplifiers with the needed performance but they are awfully complicated compared to a single transistor RF power amplifier.
(1) I almost never see parallel source termination used in this sort of application. I think it is because most designers are used to thinking in terms of voltages rather than currents.