I measured some capacitances of piezo elements/pickups. But I’m not sure that the values an be put into wasnex high pass filter, because I think the schematic doesn’t fit how the piezo works.
The voltage is produced inside the piezo material (distributed and depending on deformation/pressure), so the capacitance is in parallel to the voltage source. But the voltage source can only deliver a limited current, so this could be modeled with a capacitor of unknown value in series to the voltage source, and the known and measurable capacitance of the electrodes (brass disc, silver plating) will connect to the outer connectors of the series of voltage source and inner capacitor, like the connected cable capacitance.
So my measured capacitance is connected between drawn capacitance and resistor on one side and ground/shield on the other side.
That gives us a capacitative voltage divider between inner capacitance and electrode/cable capacitance, where the impedance defining resistor and (pre-)amp input is connected.
And it also gives us a high pass filter via the inner capacitance and resistor.
That does not answer the question of the high pass filter corner frequency, since the inner resistance is unknown.
Measuring by voltage drop with the same vibration and different external (parallel to the piezo connectors/cable/electrodes) might be possible but is not simple to do, so we still don’t know the inner capacitance.
A lot of words for telling you we are (almost) no step further, but maybe some of you with a bit of electrotechnical knowledge can understand and verify or contradict my ideas.
Now the not very useful measurements of piezo elements and (passive) piezo pickups:
Elements
Piezo disc (ceramic piezo material)
Diameter of silver plating electrode: 23 mm
Thickness: not measured, rather thin (buzzer)
Capacitance at brass and silver plating 70-76 nF
Piezo disc (ceramic piezo material)
Diameter of the silver plated electrode 14 mm
Thickness: not measured, rather thin (buzzer)
Capacitance at brass and silver plating 10 nF
Piezo rod (ceramic piezo material)
Silver plating electrodes at both ends
Length 15 mm
Diameter 6.8 mm
Capacitance at the electrodes 27 pF (!)
Pickups
Shadow SH-950 (double element bridge wing pickup, Underwood clone)
Thick ceramic piezo disc elements
Electrode distance (thickness): (less than) 4.8 mm
Electrode diameter: (less than) 10 mm
Capacitance at connector 1.3 nF
(Don’t forget that both elements are connected in parallel, so the capacitance of one element is half of the value!)
Yamahiko (single element, probably ceramic piezo rod inside adjuster axis)
Capacitance at connector 540 pF = 0.54 nF
Ehrlund (probably synthetic piezo film pickup)
Capacitance at connector 13 nF
MSP (probably ceramic piezo disk)
Capacitance at connector: 11 nF
Harley Benton (Thomann brand) piezo pickup for tuners
Capacitance at connector 6.9 nF
Keep in mind that this is the outer capacitance from hot to shield, not the inner one which is important for the frequency response under resistive load (input impedance).
I would be happy to get a comment to my ideas from an electronics guy here like
@fdeck or
@drurb or anyone else with a professional knowledge of electronics.
p.s.: I forgot an inner resistor (in parallel to the inner capacitance) for self discharge of the piezo. There might be more that I have overseen…