Consider the op-amp circuit in Figure P12.22. The op-amp has a finite gain, so that \(i_{o}=A i_{\varepsilon}\), and a zero output impedance.

(a) Write the closed-loop transfer function in the form

\[A_{i f}=\frac{i_{o}}{i_{s}}=\frac{A_{i}}{\left(1+\beta_{i} A_{i}\right)}\]

(b) What is the expression for \(\beta_{i}\) ?

(c) If \(A_{i}=10^{5}\) and \(A_{i f}=25\), what is the required \(\beta_{i}\) and \(R_{F} / R_{3}\) ?

(d) If \(A_{i}\) decreases by 15 percent, what is the percent change in \(A_{i f}\) ?

Transcribed Image Text:

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