The OP AMP circuit in Figure P8-56 is operating in the sinusoidal steady state.
(a) Show that Image

(b) Find the value of the magnitude of \(\mathbf{V}_{\mathrm{O}} / \mathbf{V}_{\mathrm{S}}\) at \(\omega=0\) and as \(\omega ightarrow \infty\). At the two frequency extremes, what typical OP AMP circuit does each resemble?
(c) Design the OP AMP circuit so that the gain as \(\omega ightarrow \infty\) equals 5 . Then select appropriate values of \(R_{1}, R_{2}\), and \(C\) so that the gain at \(10 \mathrm{krad} / \mathrm{s}\) is 3.5355 .
(d) Validate your design using Multisim by doing an ac sweep from \(10 \mathrm{~Hz}\) to \(100 \mathrm{kHz}\) and then use Grapher View's cursor to find the gain at a frequency of \(10 \mathrm{krad} / \mathrm{s}\).

Transcribed Image Text:

1 (R + R)C 1 RC ja +- (515) + R + R Vs R ja +