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In the op amp circuit of Fig. 5.86, determine the voltage gain { v }_{ 0 }/{ v }_{ s }. Take R = 10 kΩ.

Step-by-step

The first stage is a noninverting amplifier. If  { v }_{ 1 } is the output of the first op amp,

{ v }_{ 1 } = (1 + 2R/R){ v }_{ s } = 3{ v }_{ s }

The second stage is an inverting amplifier

\begin{array}{c}\mathrm{v}_{\mathrm{o}}=-(4 \mathrm{R} / \mathrm{R}) \mathrm{v}_{1}=-4 \mathrm{v}_{1}=-4\left(3 \mathrm{v}_{\mathrm{s}}\right)=-12 \mathrm{v}_{\mathrm{s}} \\\mathrm{v}_{\mathrm{o}} / \mathrm{v}_{\mathrm{s}}=-\mathbf{1 2} .\end{array}

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