(a) Using the results of Problem 9.77, design the high-pass active filter in Figure P9.77 such that the high-frequency voltage gain is -15 and the \(-3 \mathrm{~dB}\) frequency is \(20 \mathrm{kHz}\). The maximum resistance value is to be limited to \(350 \mathrm{k} \Omega\).

(b) Repeat part (a) such that the high-frequency gain is -25 and the \(-3 \mathrm{~dB}\) frequency is \(35 \mathrm{kHz}\). The minimum resistance value is to be limited to \(20 \mathrm{k} \Omega\).

Data From Problem 9.77:-

The circuit shown in Figure P9.77 is a first-order high-pass active filter.

(a) Show that the voltage transfer function is given by \[A_{v}=\frac{-R_{2}}{R_{1}} \cdot \frac{j \omega R_{1} C_{1}}{1+j \omega R_{1} C_{1}}\]

(b) What is the voltage gain as the frequency becomes large?

(c) At what frequency is the magnitude of the gain a factor of \(\sqrt{2}\) less than the high-frequency limiting value?

Transcribed Image Text:

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