Design a non-inverting amplifier with a gain of 25 based on an operational amplifier.
We start with our standard circuit.
From Equation 16.1 we have
G = \frac{V_{0}}{V_{i}} = \frac{R_{1} + R_{2}}{R_{2}}Therefore, if G = 25
\begin{matrix} \frac{R_{1} + R_{2}}{R_{2}} = 25 \\ R_{1} + R_{2} = 25R_{2} \\ R_{1} = 24R_{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 24 kΩ. When using ideal op-amps, the actual values of the resistors are unimportant – it is only the ratio of the values that is significant. However, when we use real components, there are factors that affect our choice of component values. These are discussed in Section 16.6.