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W09 314 HW04 all - EECS 314 Winter 2009 Homework set 4...

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EECS 314 Winter 2009 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 © 2009 Alexander Ganago Page 1 of 2 Scores for the HW set: Problem 1 2 3 4 5 6 7 Total Score Problem 1 The Node Voltage Method for solving circuits The Big Picture If connections of the circuit elements cannot be reduced to a combination of series and/or parallel, we have to use KCL, KVL, and Ohm's law to solve for the currents and voltages. (Note that we always use KCL, KVL, and Ohm's law: for example, to derive the familiar formulas for the voltage and current division in circuits with series/parallel connections.) Here we use the node voltage equations. The strategy is, step by step: (1) Identify and clearly label the reference (ground) node and non-reference nodes in the circuit. (2) If the node is connected to the ground via a voltage source (such as node A in the circuit below), you don’t need a KCL equation for this node: just find the node voltage from KVL. (3) For each of the rest non-reference nodes, write a KCL equation for the sum of outgoing currents. (4) Relate the currents to the node voltages through KVL and Ohm’s law. Note that, at this moment, you use node voltages as reference marks, without any worry of which way the currents actually flow. (5) Solve the equations using substitution or matrix methods. Problem 1 Consider the circuit shown on this diagram. Part 1 (10 points) Determine from KVL: V A = ______ V Write node voltage equations for B and C on the following page. Part 1 2 3 Total
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EECS 314 Winter 2009 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 © 2009 Alexander Ganago Page 2 of 2 Problem 1, continued Write your node voltage equations for B and C here (the circuit diagram is repeated below): Part 2 (10 points) Calculate: voltages at the nodes B and C Write your answers below. V B = ________________ V V C = ________________ V Part 3 (10 points) Calculate the power absorbed by: the voltage source and by the 40- Ω resistor. Write your answers below. P 18V = ________________ W P 40 Ω = ________________ W Part 4 (10 points) Use your results from the previous parts, along with KCL, KVL and Ohm’s law. Calculate the currents through each resistor and through the voltage source in the circuit. On the circuit diagram (repeated here for your convenience), carefully label all currents in the circuit (magnitude and direction). Show your work for all parts on additional pages.
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EECS 314 Winter 2009 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 © 2009 Alexander Ganago Page 1 of 2 Problem 2 The Mesh Current Method for solving circuits The Big Picture
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