I am trying to find the transfer function of part of a 3 band audio equalizer circuit that amplifies low frequencies but I am confused about the topology. Here is the topology: I was under the impression that the circuit could be reduced down to your normal inverting amplifier where the transfer function would be -(Z_f)/(Z_S) but it looks like part of "Z_s" is also a part of "Z_f" in the picture above and this is confusing me.
Update: I used the node between c1 and c2 and the node between the negative terminal of the op amp and RF to find the transfer function. I got the following:
from my understanding, this is a typical form for a transfer function for a bandpass filter. How can you use this transfer function to create a bandpass filter of a particular center frequency? no information is given about bandwidth or cutoff frequencies. However, for the particular equalizer I am making I want a center frequency of 500 Hz and all component values are given in the above diagram. using those component values I should be able to come up with a particular bandwidth and reuse that bandwidth but shift the center frequency to 500Hz.