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Reading List Chapter 14 4 14 7 14 8 14 9 of Hambley textbook 14 9 of Hambley textbook Chapter 3 of Hambley textbook P1 Hambley 14 23 Output Impedance of Op Amp Circuits Analyze 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 Tolerance Suppose 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 Tandem The 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 3 P4 Hambley 14 48 Analysis with full Op Amp Model The 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 4 P5 Hambley 3 25 Capacitors in Seriers and in Parallel Find the equivalent capacitance between terminals X and Y for each of the circuits shown in the figure Fig 4 Circuit Schematic for Problem 5 P6 Hambley 3 28 Capacitors Charging Behavior Two 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 6 P7 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 7 P8 Hambley 14 75 Differentiator Sketch the output voltage of the ideal op amp circuit shown in the figure below to scale versus time Fig 7 Circuit Schematic for Problem 8


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Berkeley ELENG 40 - Output Impedance of Op-Amp Circuits

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