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10Fall_hw2 - some broken bulbs and you decide to replace...

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ECE210 - Fall 2010 - Homework 02 Due: Sep 08, 2010 at 5 p.m. in the ECE210/211 homework box which is is located in the basement of Everitt lab. 1. Your non-ECE friend finds many strands of decorative (“Christmas tree”) lights, and decides to use them to decorate for a party he’s hosting. Each strand has 50 bulbs in series, and you measure with an ohmmeter and find that each bulb has a resistance of 2 Ω . (a) If your friend hooks up the strands as shown in Figure 1 determine V x , i x , i 1 , and i 2 . + - 120 V V x 1 strand 1 strand i 1 i 2 i x Figure 1: Figure only for problem 1(a). (b) You check your friends room and find that there’s a 6 A circuit-breaker limit on the outlet he wants to use. How many strands can he connect in parallel without blowing the breaker? (c) Suppose each bulb has a 4 W power limit, above which it will burn out. Suppose you find a strand with
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Unformatted text preview: some broken bulbs, and you decide to replace the bad ones with a short circuit. What is the minimum number of bulbs you need in the circuit to avoid blowing them out by exceeding their power limit? i 3 i 2 i 1 +-i 4 10 V 1 A v 1 v 2 v 3 i b 1 Ω 2 Ω 4 Ω 2 Ω Figure 2: Circuit for Problem 2. 2. Find the node voltages v 1 , v 2 , and v 3 relative to the “ground” node as shown in Figure 2, and find the currents i 1 , i 2 , i 3 , i 4 , and i b through all of the elements of the circuit. (a) Using the node voltage method; (b) Using the loop current method. 3. Textbook problem 2.7 4. Textbook problem 2.11 5. Textbook problem 2.13 6. Textbook problem 2.14 7. Texbook problem 2.16 1...
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