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hw6sol - 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 6 - Due Tuesday, October 20, 2009 Problem 1: Rizzoni 10.11, 10 points Assume forward active region ? ? = β I B = 100 20 μ A = 2mA 𝑉 ?𝐸 = 𝑉 ? − ? ∗ ? ? = 50 5 ?Ω ∗ 2 ?? = 40 𝑉 𝑉 ?? = 𝑉 ?𝐸 − 𝑉 ?𝐸 = 0.6 𝑉 − 40 𝑉 = 39.4 𝑉 Therefore forward active, (2mA,40V). Problem 2: Rizzoni 10.12, 10 points ? ? = 𝑉 𝑖? − 𝑉 ? ? ? = 8.1 𝑉 − 0.6 𝑉 75 = 100 𝜇? ? ? = 𝑉 ?? − 𝑉 ?𝐸?𝑎? ? ? = 10 𝑉 − 0.2 𝑉 2 = 4.9 ?? 𝛽 = ? ? ? ? = 4.9 ?? 100 𝜇? = 49 The value of 𝛽 is less than 100, therefore saturation Problem 3: Rizzoni 10.14, 10 points ? ? = 𝑉 ?? − 𝑉 ?𝐸?𝑎? ? ? = 12 𝑉 − 0.2 𝑉 5 = 2.36 ?? ? ? = ? ? 𝛽 = 2.36 ?? 100 = 23.6 𝜇? at the edge of saturation 𝛽 = 100 . Therefore 𝑉 ?? ≥ ? ? ? ? + 𝑉 ? = 23.6 𝜇? ∗ 100 + 0.6 𝑉 = 2.96 𝑉 Problem 4: Rizzoni 10.16, 15 points Assume forward active:
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? ? = 𝛽? ? = 100 20 𝜇? = 2 ?? ? 𝐸 = 1 + 𝛽 ? ? = 101 20 𝜇? = 2.02 ?? 𝑉 ?𝐸 = 𝑉 ?? − ? ? ? ? − ? 𝐸 ? 𝐸 = 50 𝑉 − 2 ?? ∗ 5 ?Ω − 2.02 ?? ∗ 5 = 29.9 𝑉 𝑉 ??
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