Question: Interchanging the positions of the resistors and capacitors converts the low-pass filter in Figure 14=3 (a) into the high-pass filter in Figure 14-9. (a). This
Interchanging the positions of the resistors and capacitors converts the low-pass filter in Figure 14=3 (a) into the high-pass filter in Figure 14-9. (a). This \(C R-R C\) interchange involves replacing \(R_{\mathrm{k}}\) by \(1 / C_{\mathrm{k}} s\) and \(C_{\mathrm{k}} s\) by \(1 / R_{\mathrm{k}}\). Show that this interchange converts the low-pass transfer function in \(\mathrm{Eq}_{2}\) (146). into the high-pass function in \(\mathrm{Eq}=(14-11)\).
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Start with Equation 146 and make the required substitutions Simplify the ... View full answer
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