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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