The circuit in Figure P9.75 is a first-order low-pass active filter.

(a) Show that the voltage transfer function is given by

\[A_{v}=\frac{-R_{2}}{R_{1}} \cdot \frac{1}{1+j \omega R_{2} C_{2}}\]

(b) What is the voltage gain at dc \((\omega=0)\) ?

(c) At what frequency is the magnitude of the voltage gain a factor of \(\sqrt{2}\) less that the dc value? (This is the \(-3 \mathrm{~dB}\) frequency.)

Transcribed Image Text:

R Figure P9.75 C ww R