Design an inverting amplifier with a gain of -25 based on an operational amplifier.
We start with our standard circuit.
From Equation 16.2 , we have
G = \frac{V_{0}}{V_{i}} = – \frac{R_{1}}{R_{2}}Therefore, if G = -25
\begin{matrix} – \frac{R_{1}}{R_{2}} = -25 \\ R_{1} = 25R_{2} \end{matrix}As it is the ratio of the resistor values that determines the gain, we are free to choose the actual values. Here, we will choose R_{2} = 1 kΩ , which means that R_{1} must be 25 kΩ. As discussed above, we will leave consideration of the choice of component values until Section 16.6 .