1. Op-Amp Based Circuits Section 8.2

2. Topics Non-Inverting Amplifier Inverting Amplifier Integrator Differentiator

3. Non-Inverting Amplifier (Ideal) (Assumption: A o is infinite)

4. Non-Inverting Amplifier (Practical)

5. Approximation (Taylor series approximation) (Large, since Ao is large)

6. Example

7. Application of Inverting Amplifier Analog Filters Control Systems

8. Inverting Amplifier Input impedance: R 2 Trade off: Input impedance versus voltage gain.

9. Virtual Ground Versus An Ordinary Ground Node X is a virtual ground, but not an ordinary ground. If X were an ordinary ground, current from Vin would be diverted from R1since R1 represents a path of high impedance.

10. Practical Inverting Amplifier (Equating current in R1 and R2)

11. Example

12. Generalized Inverting Amplifier

13. Integrator Analysis in the Frequency Domain (Pole at the origin)

14. Frequency Response of Integrator (Pole at the origin) (Pole frequency is obtained by setting the denominator to zero)

15. Integrator Analysis in the Time Domain

16. Example

17. Active Integrator Versus Passive Integrator Current decreases as Vout rises, leading to a slower increase in Vout. Passive integrator approximates the behavior of an active integrator. (Active integrator) (Passive integrator)

18. An Integrator with Finite Gain

19. Example

20. Frequency Domain Analysis of Differentiator Frequency Domain Analysis

21. Time Domain Analysis of a Integrator Time Domain Analysis

22. Example

23. Active Differentiator Circuit Versus Passive Differentiator Circuit Node X is not pinned to ground. Capacitor can not charge instantaneously. Therefore, Vout rises rapidly to V1 initially.

24. Practical Differentiator

25. Example

26. Voltage Adder (Application: Noise Cancellation)