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How do piezoelectric ceramic elements vibrate?
The power supply part of disposable electronic gas lighter just meets your requirements, so don't bother!

There are also general piezoelectric ceramic chips, and the capacitance value is about "per square centimeter 1000pf". Can it be obtained only by positive piezoelectric effect without external power supply? If you can get the question of how much external force is needed, you only need to remove the power of several electronic gas lighters, and you will soon understand it.