1. ECE 340 ELECTRONICS I OPERATIONAL AMPLIFIERS

2. OPERATIONAL AMPLIFIER THEORY OF OPERATION CHARACTERISTICS CONFIGURATIONS

3. THEORY OF OPERATION AMPLIFIES DIFFERENCE OF TWO INPUT SIGNALS PRODUCES SINGLE OUTPUT OPERATES OVER WIDE FREQUENCY RANGE

4. CHARACTERISTICS LARGE OPEN LOOP GAIN LARGE INPUT IMPEDANCE SMALL OUTPUT IMPEDANCE LARGE BANDWIDTH

5. OPAMP DEFINITIONS OPEN LOOP GAIN – A O INPUT RESISTANCE – R IN OUTPUT RESISTANCE – R OUT NON-INVERTING INPUT CURRENT – i + INVERTING INPUT CURRENT – i -

6. SYMBOL + - v out v-v- +V POS -V NEG v+v+

7. IDEAL OPERATIONAL AMPLIFER INFINITE OPEN LOOP GAIN INFINITE INPUT RESISTANCE ZERO OUTPUT RESISTANCE ZERO INPUT CURRENT

8. IDEAL CHARACTERISTICS

9. IDEAL RELATIONSHIPS

10. CIRCUIT MODEL vo + v+v+ - v-v- - v in R out + A O *v in + vovo - R in

11. CONFIGURATIONS INVERTING GAIN AMPLIFIER NON- INVERTING GAIN AMPLIFIER UNITY GAIN AMPLIFIER SUMMING AMPLIFIER DIFFERENCE AMPLIFIER

12. CONFIGURATIONS VOLTAGE INTEGRATOR VOLTAGE DIFFERENTIATOR

13. INVERTING GAIN AMPLIFIER RFRF vovo + - vivi RIRI VIRTUAL GROUND ioio i

14. CURRENT PROPERTIES

15. VOLTAGE RELATIONSHIPS

16. NON-IDEAL ANALYSIS

17. SUBSTITUTION INTO OPAMP EQUATION

18. VOLTAGE GAIN EQUATION

19. GAIN ERROR

20. HIGH GAIN INVERTING AMPLIFIER R2R2 R4R4 R3R3 R5R5 + - vOvO R1R1 vIvI vxvx

21. VOLTAGE AND CURRENT RELATIONSHIPS

22. VOLTAGE GAIN CALCULATION

23. DESIGN CONSIDERATIONS

24. NON-INVERTING GAIN AMPLIFIER ioio vivi RIRI + - vovo RFRF

25. IDEAL NON-INVERTING GAIN AMPLIFIER EQUATIONS

26. GAIN CALCULATION

27. NON-IDEAL EQUATIONS

29. GAIN ERROR CALCULATION

30. UNITY GAIN AMPLIFIER vivi + - vovo

31. UNITY GAIN AMPLIFIER EQUATIONS

32. PRACTICAL UNITY AMPLIFIER EQUATIONS

33. INVERTING SUMMING AMPLIFIER R2R2 v3v3 v1v1 R1R1 v2v2 + - RFRF vovo R3R3 0 V

34. GAIN CALCULATIONS

35. NON-INVERTING SUMMING AMPLIFIER vOvO v2v2 R3R3 RFRF R2R2 v3v3 RARA R1R1 v1v1 + -

36. VOLTAGE RELATIONSHIPS USING SUPERPOSITION

37. INPUT VOLTAGE ONE EQUIVALENT

38. INPUT VOLTAGE TWO EQUIVALENT

39. INPUT VOLTAGE THREE EQUIVALENT

40. OUTPUT VOLTAGE RELATIONSHIP

41. FINAL OUTPUT VOLTAGE EQUATION

42. DIFFERENCE AMPLIFIER R3R3 v1v1 v2v2 R1R1 + - R2R2 vovo R4R4

43. VOLTAGE EQUATIONS

44. EQUATING INPUT VOLTAGES

45. DESIGN CONSIDERATIONS

46. VOLTAGE INTEGRATOR + - vivi R1R1 R2 vOvO C

47. INTEGRATOR EQUATIONS

48. PRACTICAL VOLTAGE INTEGRATOR + - vIvI R1R1 R2R2 vOvO R3R3 C

49. PRACTICAL INTEGRATOR EQUATIONS

50. VOLTAGE DIFFERENTIATOR + - vIvI C R2R2 vOvO R1R1

51. DIFFERENTIATIOR EQUATIONS

52. PRACTICAL VOLTAGE DIFFERENTIATOR + - vivi C R1R1 R2R2 vOvO R3R3

53. PRACTICAL DIFFERENTIATOR EQUATIONS

54. INSTRUMENTATION AMPLIFIER R2R2 + - vovo + - R4R4 R4R4 i1i1 R3R3 + - R1R1 v o2 R3R3 R2R2 v o1 v i2 v i1

55. VOLTAGE AND CURENT RELATIONSHIPS

56. VOLTAGE SUBSTITUTIONS

57. OUTPUT VOLTAGE CALCULATION