EECS314_W08_HW4 - EECS 314 Winter 2008 Homework set 4...

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Unformatted text preview: EECS 314 Winter 2008 Homework set 4 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 1 of 2 Scores for the HW set: Problem 1 2 3 4 5 6 7 Total Score Problem 1 Equivalent sources and source transformation This problem might look awesome but indeed it is quite simple. Your key to success is to master the new method of circuit analysis – replacement of sources with their equivalents, step-by-step, as explained in the Big Picture file. Part 1 (20 points) Use the source transformation to reduce the circuit shown on this diagram to its Thevenin equivalent and Norton equivalent circuits. Show your work on additional pages. Draw the final result of your transformations below (it may be either Thevenin or Norton equivalent of the circuit above): Part 1 2 Total EECS 314 Winter 2008 Homework set 4 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 2 of 2 Problem 1 Part 2 (20 points) Draw in the boxes below: Thevenin equivalent of the original circuit Norton equivalent of the original circuit On each diagram, clearly indicate the source voltage/current and polarity/direction, and the resistance value. EECS 314 Winter 2008 Homework set 4 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 1 of 2 Problem 2 Volt-Amp characteristics of sources represented as their Thevenin and Norton equivalents The Big Picture Assuming that the unknown source in the circuit shown on the diagram can be represented with its Thevenin equivalent (see the Big Picture file for Problem 1 of this set), one can calculate its parameters such as the Open-Circuit voltage V T (at zero current) and Short-Circuit current I N (at zero voltage). The Thevenin equivalent resistance equals R T = V T I N The maximal power is transferred to the load whose resistance equals the Thevenin equivalent: R L = R T The maximal power transferred to the load equals: P MAX = V T 2 4 " R T Part 1 (20 points) The table below gives values of the current I through the load resistor R L : Determine the Thevenin/Norton equivalent parameters, the load resistance connected to the terminals a – b, to which the source transfers the maximal power, and...
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This note was uploaded on 09/04/2008 for the course EECS 314 taught by Professor Ganago during the Winter '07 term at University of Michigan.

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EECS314_W08_HW4 - EECS 314 Winter 2008 Homework set 4...

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