This weekend I have been talking with a friend about this project. We looked at what is needed to get a custom coil to work with the best settings. To get the correct values for Rp_Min, Rp_Max and frequency you should use an Impedance Analyzer. These are very expensive. So I have to find a place where I can use one for a short time.
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Inductive Sensing Design Challenge: Portable Detector based on the LDC1000 (#5)