Calculale R, L, C of a spiral resonator
I want to make an equivalent circuit and calculate R, L and C value of a spiral resonator, which is printed on a substrate as I show in the picture.
Can you help me how to do it? What is the best way?
Is there any good book or paper talking about this issue? Many thanks.
I am not a planar guy but the basics are always the same.
The structure looks to me like a T network, two series inductors and a shunt capacitor between them.
Spiral inductor, you can find equations everywhere online to calculate an approximate L
Capacitor, you can use the parallel-plate equation, get the metal areas, gap length, to calcate the approximate C
Then do some optimization based on the initial L, C, to meet the simulated center freqeucy = 1/sqrt(LC)
regarding R, just find the simulated Loss and do the curve fitting to achieve the R
These can be printed on certain papers and found in high end stores using RFID's.
Some designs here for 13.56 MHz
http://ww1.microchip.com/downloads/e...tes/00710c.pdf
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