A current-to-voltage converter is shown in Figure P9.54. The current source has a finite output resistance \(R_{S}\), and the op-amp has a finite open-loop differential gain \(A_{o d}\).

(a) Show that the input resistance is given by

\[R_{\mathrm{in}}=\frac{R_{F}}{1+A_{o d}}\]

(b) If \(R_{F}=10 \mathrm{k} \Omega\) and \(A_{o d}=1000\), determine the range of \(R_{S}\) such that the output voltage deviates from its ideal value by less than 1 percent.

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