here is the simulation for the tuner box, for which the input is at port 1 and coil to port 2.

the Blue line is zero resistance, and the purple line is non-zero resistance.

the parameters are:

L = 1uH
Cs = 1.44 mF
Cp= 219pF
Rs= 30.2Ω
Rp=3.6Ω

The Zero point depends on Cs and L. since the only way to make the input voltage be zero is load impedance be infinite. the infinity can be done by

C_p = 1/ L \omega^2 - 2.2pF

The local peak require large C2, as large as 1.44mF.

the function of Cs an Cp?

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