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MIT 6 002 - Homework 5

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Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6 002 Electronic Circuits Fall 2003 Homework 5 Handout F03 028 Issued 10 2 2003 Due 10 10 2003 Helpful Readings for this Homework Chapter 7 1 7 5 Exercise 5 1 Do Exercise 1 from Chapter 7 of the notes page 533 Exercise 5 2 Do Exercise 3 from Chapter 7 of the notes page 534 Exercise 5 3 Determine the Thevenin equivalent of the following circuit Note that it contains a dependent voltage source and that the parameter has units of Ohms i Io R1 R2 i Problem 5 1 This problem studies the two amplifiers shown on the other side of the page Amplifier A is a singlestage amplifier implemented with a voltage dependent current source and a pull up resistor Assume that the current V VS VT S source parameters G and VT satisfy G 0 and VS VT 0 Also assume that RG Amplifier B is a two stage amplifier in which each stage is identical to Amplifier A A Determine vOUT as a function of vIN for Amplifier A B Sketch and clearly label a graph of the input output relation found in Part A C Determine vOUT as a function of vIN for Amplifier B D Sketch and clearly label a graph of the input output relation found in Part C E Consider Amplifier A again Show that the dependent current source sinks power for vOUT 0 and sources power for vOUT 0 F Dependent current sources are most often implemented with transistors that are passive devices and hence not capable of sourcing power In this case the dependent current source in Amplifier A would saturate so that vOUT actually never goes below 0 V That is the current through the dependent current source becomes constant and does not increase with a further increase in vA once the voltage across the source reaches 0 V Given this revised behavior for Amplifier A sketch and clearly label a graph of the input output behavior of Amplifier B for very large G Amplifier B Amplifier A VS R vIN vA vIN 0 for vA VT G vA VT for vA VT Amplifier A vOUT Amplifier A vOUT Problem 5 2 Do Problem 5 from Chapter 7 pages 542 543 with the following changes For part a show that vOUT is related to vIN according to vOUT2 2 vIN VT 1 RK vOUT vIN VT 2 0 instead of the equation listed in the book For part b only find the range for vIN don t find the corresponding range for vOUT You should be able to do this without having to solve any quadratic equations Problem 5 3 Do Problem 9 from Chapter 7 pages 545 546


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MIT 6 002 - Homework 5

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