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Berkeley ELENG 40 - Output Impedance of Op-Amp Circuits

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Reading ListChapter 14.4, 14.7, 14.8,14.9 of Hambley textbook!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 14.9! of Hambley textbookChapter 3 of Hambley textbookP1. (Hambley 14.23) Output Impedance of Op-Amp CircuitsAnalyze each of the ideal op-amp circuits shown in the figure below to find expressions for i0 . What is the value of the output impedance for each of these circuits? Why? (Note: the bottom end of the input voltage source is not grounded in part b of the figure. Thus, we say this source is floating)" " " Fig.1 Circuit schematics for problem 1.P2.(Hambley 14.30) Gain ToleranceSuppose that we design an inverting amplifier using 5% tolerance resistors and an ideal op-amp. The nominal amplifier gain is -2. What are the minimum and maximum gain possible, assuming the resistors are within the stated tolerance? What is the percentage tolerance of the gain ? (Gain tolerance %= 100*(GainMax-GainMin)/(GainNominal) )P3.(Hambley P14.34) Two Op-Amp Circuits in TandemThe circuit shown in the figure below employs negative feedback. Use the summing point constraint for both amps to derive expressions for the voltage gains A1=Vo1/Vin; A2=Vo2/Vin" " " Fig.2 Circuit Schematic for Problem 3P4.(Hambley 14.48) Analysis with full Op-Amp ModelThe objective of this problem is to investigate the effects of finite gain, finite input impedance, and non-zero output impedance of the op-amp on the inverting amplifier. The circuit, including the op-amp model, is shown in the figure below. A.Derive an expression for the circuit voltage gain vo/vs . Evaluate for AOL=105 , Rin = 1M Ohm, Ro =25 Ohm, R1=1K Ohm, R2=10K Ohm. Compare this results to the gain with an ideal op-amp.B.Derive an expression for the circuit input impedance Zin = vs/is. Evaluate for AOL=105 , Rin = 1M Ohm, Ro =25 Ohm, R1=1K Ohm, R2=10K Ohm. Compare this results to the input impedance with an ideal op-amp.C.Derive an expression for the circuit output impedance Zo = vo/io. Evaluate for AOL=105 , Rin = 1M Ohm, Ro =25 Ohm, R1=1K Ohm, R2=10K Ohm. Compare this results to the output impedance with an ideal op-amp." " " " Fig.3 Circuit Schematic for Problem 4P5 (Hambley 3.25) Capacitors in Seriers and in ParallelFind the equivalent capacitance between terminals X and Y for each of the circuits shown in the figure" " " Fig.4 " Circuit Schematic for Problem 5P6.(Hambley 3.28) Capacitors Charging BehaviorTwo initially uncharged capacitors C1=15uF and C2=10uF are connected in series. Then, a 10V source is connected to the series combination, as shown in the figure below. Find the voltages v1 and v2 after the source is applied. (Hint: the charges stored on the two capacitors must be equal because the current is the same in both capacitors)Fig.5 Circuit Schematic for Problem 6P7 (Hambley 3.48) Inductor Behavior The voltage across a 2H inductance is shown in the figure below. The initial current in the inductance is i(0)=0. Sketch the current, power, and stored energy to scale versus time." " " " " Fig.6 Voltage waveform for Problem 7P8. (Hambley 14.75) DifferentiatorSketch the output voltage of the ideal op-amp circuit shown in the figure below to scale versus time."""" " " Fig.7 Circuit Schematic for Problem


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Berkeley ELENG 40 - Output Impedance of Op-Amp Circuits

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