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Ideal Op Amps Z in =  –Implies zero input current Z out = 0 (without feedback) –Implies a perfect voltage source Differential voltage gain G diff = 

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Presentation on theme: "Ideal Op Amps Z in =  –Implies zero input current Z out = 0 (without feedback) –Implies a perfect voltage source Differential voltage gain G diff = "— Presentation transcript:

1 Ideal Op Amps Z in =  –Implies zero input current Z out = 0 (without feedback) –Implies a perfect voltage source Differential voltage gain G diff =  (without feedback) Common-mode voltage gain G CM = 0 –Above two features imply a perfect differential amplifier V out = 0 when both inputs are at the same voltage (zero “offset voltage”) –Implies perfect transistor matching at the inputs Output can change instantaneously (infinite “slew rate”)

2 Op Amp “Golden Rules” I.The output attempts to do whatever is necessary to make the voltage difference between the two inputs zero (consequence of very high voltage gain).  But asymmetries between the input terminals cause output error signals! II.The inputs draw “no” current (consequence of very high input impedance).  In reality, the inputs draw some current!

3 Departure from Ideal: Input Bias Current I B (Introductory Electronics, Simpson, 2 nd Ed.)

4 Compensating for I B (Introductory Electronics, Simpson, 2 nd Ed.)

5 Compensating for I B (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

6 Departure from Ideal: Offset Current I os (I io = I os ) (Introductory Electronics, Simpson, 2 nd Ed.)

7 Departure from Ideal: Offset Voltage V os (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

8 Departure from Ideal: Offset Voltage V os (Introductory Electronics, Simpson, 2 nd Ed.) (V io = V os )

9 Compensating for V os (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

10 Measuring I B, I os, V os (Lab 9–1) (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

11 Effects of Op Amp Imperfections The circuits below will always give a saturated output after a short time. Why? (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

12 Departure from Ideal: Finite Slew Rate (Introductory Electronics, Simpson, 2 nd Ed.) (Lab 9–1)

13 Op-Amp Integrator (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

14 Op-Amp Integrator with DC Error Compensation (Lab 9–2) (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

15 Op-Amp Differentiator (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

16 Op-Amp Differentiator with Gain Rolloff (Lab 9–3) (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

17 Active Rectifier (Lab 9–5) (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.)

18 Effect of Finite Slew Rate on Active Rectifier (Lab 9–5) (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.) output glitch

19 Improved Active Rectifier (Lab 9–6) (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.) D1D1 D2D2 R1R1 R2R2

20 Active Clamp (Lab 9–7) (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.) VCVC

21 Slew-Rate Limitations on Active Clamp (Lab 9–7) (The Art of Electronics, Horowitz and Hill, 2 nd Ed.) (Student Manual for The Art of Electronics, Hayes and Horowitz, 2 nd Ed.) V C = 10 V

22 AC Amplifier (The Art of Electronics, Horowitz and Hill, 2 nd Ed.) C RiRi R1R1 R2R2 (Additional Exercise 2) v in (capacitively coupled)

23 Single-Supply AC Amplifier (The Art of Electronics, Horowitz and Hill, 2 nd Ed.)


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