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Explanation Sigma Delta Modulator

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benji54

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Hi everyone,
I'm using a Capsense from PSoC which is use a Sigma Delta Modulator to measure a capacitance.
First of all they assume that the capacitance is equivalent to a resistor with switch sw1 and sw2:
caps2.png

After that we have:
caps.png
I don't understand how they find:
Code:
Ic= Cs Fs Vcmod
Ic is the current trough the resistor Rc right?

How when we replace Ic=Iavg we have:
Code:
dmod = Cs fs (vref/Idac)

Thank you very much
 

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