The two competing OP AMP circuits in Figure P8-62 are operating in the sinusoidal steady state with \(\omega=100\) \(\mathrm{krad} / \mathrm{s}\). The two manufacturers both claim that their circuit meets the following specifications:

Voltage gain at \(100 \mathrm{krad} / \mathrm{s}\) must be 1.414 .

Voltage gain as \(\omega ightarrow \infty\) must approach 0 .

Voltage gain at dc must be 2.0.

Cost: Circuit (a) \(\$ 1.25\) each, or \(\$ 0.50\) in quantity, circuit

(b) \(\$ 1.05\) each, \(\$ 0.60\) in quantity.

(a) Find the magnitude of the ratio of the output phasor \(\mathbf{V}_{2}\) to the input phasor \(\mathbf{V}_{1}\) at each specification frequency for each circuit.

(b) Use MATLAB to plot the \(\log\) of \(\left|\mathbf{V}_{2} / \mathbf{V}_{1}ight|\) versus the \(\log\) of the frequency \(\omega\). Comment on the function of the circuit from the plot.

(c) Use Multisim and do an ac sweep from \(100 \mathrm{rad} / \mathrm{s}\) to 100 \(\mathrm{Mrad} / \mathrm{s}\) (recall Multisim uses Hz) and comment on the function of the circuit from the plot by Grapher View.

(d) Which circuit would you buy, if either? Explain.