mapj1:
if you put a meter on volts where the sounder used to go, do you see a DC or an AC signal ?
Those little sounders either need driving at AC (test that with audio from a headphone jack) or the DC models contain a one transistor oscillator, but then there are a number of variations on the oscillator same theme, the loudest making the piezoelectric disc into a 3 terminal device, so that it i s driven by the collector of the transistor, but there is a pick up electrode that acts as a crude microphone and drives the transistor base - these are automatically on-tune for the self resonance of the disc.
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