Bass-boost Revisited
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In lab a few weeks ago, we built the following circuit, which acted as a bass-boost system. Note, though, that the values shown here are different from those used in the lab.
Part 1
Find the frequency response of this filter, H(\omega) = {\tilde{V}_{\rm out}(\omega)/\tilde{V}_{\rm in}(\omega)}. Then, sketch a Bode plot, labeling all key values, slopes, and asymptotes. Make the ideal op-amp assumption, and ignore any limitations imposed on the op-amp outputs imposed by the power supply.
Part 2
Now consider the alternative topology below. Would it be possible to set the component values in this circuit so as to replicate the functionality of the first circuit? If so, specify any one such combination of component values (R_1 through R_7, as well as C) that would do so. If not, briefly explain why this is not possible.
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