And here is my technical answer.
1. "Do you even know what phase shift is?"
Yes. In our previous AC approach, the phase shift (\theta) is the angle between the excitation voltage and the resulting AC current, allowing us to extract the double-layer capacitance (C_{dl}) and charge transfer resistance (R_{ct}). I had the entire AC framework defined. However, I pivoted away from it based on the excellent advice of respected forum member Kleinstein. He correctly pointed out that while an AC approach might work for pure gold, it becomes highly unreliable and unnecessarily complex when trying to measure mixed multi-metal alloys. He advised against overcomplicating the hardware, and I listened.
2. "What do you actually want to measure?"
In this V2.10 DC High-Z architecture, we are measuring the Open Circuit Potential (OCP) of a micro-galvanic cell. For context, I specialize in 18-karat gold electroforming and metallurgy. Managing these exact galvanic cells, electrolyte interactions, and distinct oxidation potentials of different copper/silver alloy ratios is my daily professional work, not just theory.
Why is it called "DC High-Z"?
Because the gel electrolyte has a high internal ionic resistance. If the analog front-end draws significant input bias current, it polarizes the electrodes, causing a voltage drop across the gel and collapsing the Nernstian potential. That is why we moved to a High-Z topology using the INA333—to measure the static galvanic DC voltage without drawing current.
That is the exact engineering difference. If you have any constructive feedback on optimizing this specific DC High-Z front-end, it is welcome. Otherwise, please allow the actual design review to proceed
Thank you very much for the clarification.
1. double-layer capacitance. Are you refering to this? Not sure.
https://en.wikipedia.org/wiki/Double-layer_capacitance#:~:text=The%20other%20layer%2C%20with%20opposite,inner%20Helmholtz%20plane%20(IHP).
2. I think what you want to do from the start is to measure changes in conductivity at high frequencies caused by eddy currents.
https://en.wikipedia.org/wiki/Skin_effectSee "formula" on this page.
In this case, there is no capacitor, at least not at the frequencies you wanted to use. Only some parasitic capacitance in the measurement setup. Only the inductance varies. Then inductance is the sum of the internal and the external inductance of the material under test at some high frequency where the internal inudctance varies because of differences in Eddy currents between different materials.
This is explained on the wiki page under "Inductance".
Because you are actually only inetrested in the phase difference and not amplitude, it might work to sort gold. But I'm too lazy to plug some numbers into an excel sheet today.