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hw3sol - Carnegie Mellon University Department of...

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Carnegie Mellon University Department of Electrical and Computer Engineering 18-100 Fall 2009 Introduction to Electrical and Computer Engineering Homework 3 - Due Tuesday, September 22, 2009 Problem 1: Rizzoni 5.37, 15 points For t< 0: 𝑣 ? ? ≤ 0 = ? 2 ? 2 + ? 1 𝑉 1 = 2.2 2.2 + 400 12 𝑉 = 11.998 𝑉 For t>0: 𝜏 = ? 2 𝐶 = 2.2 ?Ω ∗ 150 𝜇𝐹 = 0.33 ? 𝑣 ? = 0 𝑉 𝑣 ? 0 = 𝑣 ? ? ≤ 0 = 11.998 𝑉 𝑣 ? ? ≥ 0 = 𝑣 ? + 𝑣 ? 0 − 𝑣 ? ∞ ? −? / 𝜏 = 0 𝑉 + 11.998 𝑉 − 0 𝑉 ? −? /0.33 ? = 11.998 ? −? /0.33 ? 𝑉
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Problem 2: Rizzoni 5.22, 15 points For t< 0: 𝑣 ? ? ≤ 0 = 𝑉 ? 2 − 𝑉 ? 1 = 130 𝑉 − 35 𝑉 = 95 𝑉 For t>0: 𝜏 = ? 2 + ? 3 𝐶 = 7 + 23 ?Ω ∗ 11 𝜇𝐹 = 0.33 ? 𝑣 ? ? = 0 = 𝑣 ? ? ≤ 0 = 95 𝑉 𝑣 ? ? = = 𝑉 ? 2 = 130 𝑉 𝑣 ? ? ≥ 0 = 𝑣 ? + 𝑣 ? 0 − 𝑣 ? ∞ ? −? / 𝜏 = 130 𝑉 + 95 𝑉 − 130 𝑉 ? −? /0.33 ? = 130 35 ? −? /0.33 ? 𝑉 ? ? ? ≤ 0 = 0 𝐴 ? ? ? = 0 + = 𝑉 ? 2 − 𝑣 ? ? = 0 ? 2 + ? 3 = 130 𝑉 − 95 𝑉 7 + 23k Ω = 1.17mA ? ? ? = = 0 𝐴
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? ? ? ≥ 0 = ? ? + ? ? 0 + − ? ? ∞ ? −? / 𝜏 = 0 𝐴 + 1.17 ?𝐴 − 0 𝐴 ? −? /0.33 ? = 1.17 ? −? /0.33 ? ?𝐴 Problem 3: Rizzoni 5.29, 15 points For t< 0: ? 𝐿 ? ≤ 0 = 𝑉 ? 1 − 𝑉 ? 2 ? 1 + ? 2 = 13 𝑉 − 13 𝑉 2.7 Ω + 4.3 = 0 𝐴 For t>0: 𝜏 = 𝐿 ? 2 + ? 3 = 170 ?𝐻 4.3 + 29 = 5.105 𝜇? ? 𝐿 ? = = 𝑉 ? 2 ? 2 + ? 3 = 13 𝑉 4.3 + 29 = 390.4 𝜇𝐴 ?
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