hw3sol - 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 3 - Due Tuesday, September 22, 2009 Problem 1: Rizzoni 5.37, 15 points For t< 0: ? ? ≤ ¡ = ¢ 2 ¢ 2 + ¢ 1 1 = 2.2 ?Ω 2.2 ?Ω + 400 £Ω 12 = 11.998 For t>0: = ¢ 2 = 2.2 ?Ω ∗ 150 = 0.33 ¤ ? ∞¡ = 0 ? ¡ = ? ? ≤ ¡ = 11.998 ? ? ≥ ¡ = ? ∞¡ + ¥ ? ¡ − ? ∞¡¦§ −? / = 0 + ¥ 11.998 − ¦§ −? /0.33 ¤ = 11.998 § −? /0.33 ¤ Problem 2: Rizzoni 5.22, 15 points For t< 0: ? ? ≤ ¡ = ? 2 − ? 1 = 130 − 35 = 95 For t>0: = ¢ 2 + ¢ 3 ¡ = 7 ?Ω + 23 ?Ω¡ ∗ 11 = 0.33 £ ? ? = 0 ¡ = ? ? ≤ ¡ = 95 ? ? = ∞¡ = ? 2 = 130 ? ? ≥ ¡ = ? ∞¡ + ¤ ? ¡ − ? ∞¡¥¦ −? / = 130 + ¤ 95 − 130 ¥¦ −? /0.33 £ = 130 − 35 ¦ −? /0.33 £ § ? ? ≤ ¡ = 0 § ? ? = 0 + ¡ = ¨ ? 2 − ? ? = 0 ¡© ¢ 2 + ¢ 3 = 130 − 95 7 ?Ω + 23k Ω = 1.17mA § ? ? = ∞¡ = 0 ? ¡ ? ≥ ¢ = ? ¡ ∞¢ + £? ¡ + ¢ − ? ¡ ∞¢¤? −? / = 0 + 1.17 ¥ − ¢? −? /0.33 ¦ = 1.17 ? −? /0.33 ¦ ¥ Problem 3: Rizzoni 5.29, 15 points For t< 0: ? ? ≤ ¢ = ? 1 − ? 2 § 1 + § 2 = 13 − 13 2.7 Ω + 4.3 ¨Ω = 0 For t>0: = § 2 + § 3 = 170 ¥ 4.3 ¨Ω + 29 ¨Ω...
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This note was uploaded on 12/13/2009 for the course ECE 18100 taught by Professor Williams during the Fall '07 term at Carnegie Mellon.

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hw3sol - Carnegie Mellon University Department of...

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