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$$
\begin{array}{l}{\text { a) Design an inverting amplifier with a gain of } 12 . \text { Use } \pm 15 \mathrm{V} \text { power supplies and an ideal op amp. }} \\ {\text { b) What range of input voltages, } v_{s}, \text { allows the op amp in this design to remain in its linear Region? }}\end{array}
$$

$$
Gain=12=\frac{R_ f}{R_ s}
$$

$$
R_{s}=1k \Omega \Rightarrow R_f=12R_s=12k \Omega
$$

$$
-V_{c c} \leq V_{0} \leq V_{c c}
$$

$$
\text { Inverting Amplifier }
$$

$$
V_{0}=-\text { Gain } V_{s}
$$

$$
V_{0}=-12 \mathrm{Vs}
$$

$$
-V_{c c} \leq-12 V _s \leq V_{ c c}
$$

$$
\frac{-15}{-12} \leq \frac{-12V_{s}}{-12} \leq \frac{15}{-12}
$$

$$
1.25 \geq V_s \geq -1.25
$$

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