hw2sol - Carnegie Mellon University Department of...

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Unformatted text preview: Carnegie Mellon University Department of Electrical and Computer Engineering 18-100 Fall 2009 Introduction to Electrical and Computer Engineering Homework 2 - Due Tuesday, September 15, 2009 Problem 1: Rizzoni 3.53, 16 points Left schematic V1 on, I1 off: ? = ? 2 ? 3 + ? 4 + ? 5 ¡ ? 2 + ? 3 + ? 4 + ? 5 = 3 1 + 3 + 2 ¡ 3 + 1 + 3 + 2 = 2 ¢ 2 = ? ? 1 + ? ¢ 1 = 2 1 + 2 2 ¢ = 1.33 ¢ ¢ 5 ¢ 1 ¡ = ? 5 ? 3 + ? 4 + ? 5 ¢ 2 = 2 1 + 3 + 2 1.33 ¢ = 0.443 ¢ Right schematic I1 on, V1 off: ? = ? 3 + ? 1 ? 2 ? 1 + ? 2 ¡ ? 3 + ? 1 ? 2 ? 1 + ? 2 + ? 4 + ? 5 − ? 1 = 1 Ω + 1 Ω 3 Ω 1 Ω + 3 Ω 1 Ω + 1 Ω 3 Ω 1 Ω + 3 Ω + 3 Ω + 2 Ω ( − 2 ) = − 0.52 ¢ 5 ? 1 ¡ = ? 5 ? = 2 Ω ∗ 0.52 = − 1.037 ¢ Superposition: ¢ 5 = ¢ 5 ¢ 1 ¡ + ¢ 5 ¢ 1 ¡ = 0.44 ¢ − 1.04 ¢ = − 0.594 ¢ ? 5 = ? 5 2 ¡ 5 = − 0.594 ?¢ 2 2 Ω = 176 ? Problem 2: Rizzoni 3.63, 16 points Left Schematic, I on, V off: ¡ = £¡ 2 + ¡ 3 ¡ 5 ¡ 3 + ¡ 5 ¤ ¡ 1 £¡ 2 + ¡ 3 ¡ 5 ¡ 3 + ¡ 5 ¤ + ¡ 1 = £ 75 Ω + 25 Ω ∗ 100 Ω 25 Ω + 100 Ω ¤ 200 Ω £ 75 Ω + 25 Ω ∗ 100 Ω 25 Ω + 100 Ω ¤ + 200 Ω = 64.407 Ω ?...
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hw2sol - Carnegie Mellon University Department of...

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