Electronics Handbook/Circuits/Operational Amplifier Configurations

Linear Configurations

Type	Configuration	$\frac{V_{o}}{V_{i}}$
Inverting amplifier		$V_{o u t} = - V_{i n} (\frac{R_{f}}{R_{1}})$
Non-inverting amplifier		$V_{o u t} = V_{i n} (1 + \frac{R_{2}}{R_{1}})$
Voltage follower		$V_{o u t} = V_{i n}$
Summing amplifier		$V_{o u t} = - R_{f} (\frac{V_{1}}{R_{1}} + \frac{V_{2}}{R_{2}} + \dots + \frac{V_{n}}{R_{n}})$
Integrating amplifier		$V_{o u t} = \int_{0}^{t} - \frac{V_{i n}}{R C} d t + V_{i n i t i a l}$
Differentiating amplifier		$V_{o u t} = - R C (\frac{d V_{i n}}{d t})$
Schmitt trigger		Hysteresis from $\frac{- R_{1}}{R_{2}} V_{s a t}$ to $\frac{R_{1}}{R_{2}} V_{s a t}$
Inductance gyrator		L = R_LRC
Negative impedance converter		$R_{i n} = - R_{3} \frac{R_{1}}{R_{2}}$
Logarithmic configuration		$v_{o u t} = - V_{γ} \ln (\frac{v_{i n}}{I_{S} \cdot R})$
Exponential configuration		$v_{o u t} = - R I_{S} e^{\frac{v_{i n}}{V_{γ}}}$