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Find { v }_{ 0 } in the op amp circuit of Fig. 5.84.

Step-by-step

Let {v}_{1} be the output of the first op amp and {v}_{2} be the output of the second op amp.

The first stage is an inverting amplifier.

v_{1}=-\frac{50}{25} v_{s 1}=-2 v_{s 1}

The second state is a summer.

\mathrm{v}_{2}=-(100 / 50) \mathrm{v}_{\mathrm{s} 2}-(100 / 100) \mathrm{v}_{1}=-2 \mathrm{v}_{\mathrm{s} 2}+2 \mathrm{v}_{\mathrm{s} 1}

The third state is a noninverting amplifier

v_{0}=\left(1+\frac{100}{50}\right) v_{2}=3 v_{2}=\underline{6 v_{51}}-6 v_{s 2}

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