Electronics Handbook/Circuits/Operational Amplifier Configurations

Linear Configurations

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! Type || Configuration || $$\frac{V_o}{V_i}$$
 * Inverting amplifier || [[Image:Opampinverting.svg|250px|Inverting amplifier]] || $$ V_\mathrm{out} = - V_\mathrm{in} \left( {R_f \over R_1} \right)$$
 * Non-inverting amplifier || [[Image:Opampnoninverting.svg|250px|Non-inverting amplifier]] || $$ V_\mathrm{out} = V_\mathrm{in} \left( 1 + {R_2 \over R_1} \right)$$
 * Voltage follower || [[Image:Opampvoltagefollower.svg|250px|Voltage follower]] || $$ V_\mathrm{out} = V_\mathrm{in} \!\ $$
 * Summing amplifier || [[Image:opampsumming.svg|250px|Summing amplifier]] || $$ V_\mathrm{out} = - R_\mathrm{f} \left( { V_1 \over R_1 } + { V_2 \over R_2 } + \cdots + {V_n \over R_n} \right) $$
 * Integrating amplifier || [[Image:opampintegrating.svg|250px|Integrating amplifier]] || $$ V_\mathrm{out} = \int_0^t - {V_\mathrm{in} \over RC} \, dt + V_\mathrm{initial} $$
 * Differentiating amplifier || [[Image:opampdifferentiating.svg|250px|Differentiating amplifier]] || $$V_\mathrm{out} = - RC \left( {dV_\mathrm{in} \over dt} \right)$$
 * Schmitt trigger || [[Image:Opampschmitt_xcircuit.svg|250px|Schmitt trigger]] || Hysteresis from $$\frac{-R_1}{R_2}V_{sat}$$ to $$\frac{R_1}{R_2}V_{sat}$$
 * Inductance gyrator || [[Image:Gyrator.svg|250px|Inductance gyrator]] || L = RLRC
 * Negative impedance converter || [[Image:Negative_impedance_converter.svg|250px|Negative impedance converter]] || $$R_\mathrm{in} = - R_3 \frac{R_1}{R_2}$$
 * Logarithmic configuration || [[Image:Opamplogarithm.svg|250px|Logarithmic configuration]] || $$v_\mathrm{out} = -V_{\gamma} \ln \left( \frac{v_\mathrm{in}}{I_\mathrm{S} \cdot R} \right)$$
 * Exponential configuration || [[Image:Opampexponential.svg|250px|Exponential configuration]] || $$v_\mathrm{out} = - R I_\mathrm{S} e^{v_\mathrm{in} \over V_{\gamma}}$$
 * }
 * Schmitt trigger || [[Image:Opampschmitt_xcircuit.svg|250px|Schmitt trigger]] || Hysteresis from $$\frac{-R_1}{R_2}V_{sat}$$ to $$\frac{R_1}{R_2}V_{sat}$$
 * Inductance gyrator || [[Image:Gyrator.svg|250px|Inductance gyrator]] || L = RLRC
 * Negative impedance converter || [[Image:Negative_impedance_converter.svg|250px|Negative impedance converter]] || $$R_\mathrm{in} = - R_3 \frac{R_1}{R_2}$$
 * Logarithmic configuration || [[Image:Opamplogarithm.svg|250px|Logarithmic configuration]] || $$v_\mathrm{out} = -V_{\gamma} \ln \left( \frac{v_\mathrm{in}}{I_\mathrm{S} \cdot R} \right)$$
 * Exponential configuration || [[Image:Opampexponential.svg|250px|Exponential configuration]] || $$v_\mathrm{out} = - R I_\mathrm{S} e^{v_\mathrm{in} \over V_{\gamma}}$$
 * }
 * Logarithmic configuration || [[Image:Opamplogarithm.svg|250px|Logarithmic configuration]] || $$v_\mathrm{out} = -V_{\gamma} \ln \left( \frac{v_\mathrm{in}}{I_\mathrm{S} \cdot R} \right)$$
 * Exponential configuration || [[Image:Opampexponential.svg|250px|Exponential configuration]] || $$v_\mathrm{out} = - R I_\mathrm{S} e^{v_\mathrm{in} \over V_{\gamma}}$$
 * }
 * Exponential configuration || [[Image:Opampexponential.svg|250px|Exponential configuration]] || $$v_\mathrm{out} = - R I_\mathrm{S} e^{v_\mathrm{in} \over V_{\gamma}}$$
 * }
 * }