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10Fall_hw02soln

# 10Fall_hw02soln - ECE210 Fall 2010 Homework 02 Solutions 1...

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ECE210 - Fall 2010 - Homework 02 Solutions 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). Sol: First we get the resistance of a strand: R strand = 50 × 2 Ω = 100 Ω . Equivalent resistance of two equal strands in parallel: R strand k R strand = R strand × R strand R strand + R strand = R strand 2 = 50 Ω . Using a voltage divider: V x = 120 V × R strand k R strand R strand k R strand + R strand = 120 V × 50 Ω 50 Ω+100 Ω = 40 V . Ohm’s law: i x = 120 V R strand k R strand + R strand = 120 V 150 Ω = 4 5 A = 0 . 8 A . Since in this case the strands have equal resistance: i 1 = i 2 = i x 2 = 0 . 4 A .

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10Fall_hw02soln - ECE210 Fall 2010 Homework 02 Solutions 1...

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