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How exactly do I find this value for the feedback fraction Beta? Thank you. omega_0 here is the natural frequency calculated as omega_0 = 1/RC and s is the complex frequency.

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It`s very simple:

The feedback factor is nothing else than a frequency-dependent voltage divider Z2/(Z1+Z2) with Z1 as a series combination and Z2 as a parallel combination of the given impedances (R resp. 1/wC).

This passive part forms the most simple form of an RC-bandpass.

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