Delmar's Standard Textbook of Electricity (MindTap Course List)
Delmar's Standard Textbook of Electricity (MindTap Course List)
6th Edition
ISBN: 9781285852706
Author: Stephen L. Herman
Publisher: Cengage Learning
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Chapter 7, Problem 3PP

Using the rules for parallel circuits and Ohm’slaw, solve for the missing values.

E T E 1 E 2 E 3 E 4 I T l 1 I 2 l 3 3 .2 A I 4 R T 3 .582 Ω R 1 16  Ω R 2 10 Ω R 3 R 4 20  Ω P T P 1 P 2 P 3 P 4

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Problem 1 (a) Suppose the Laplace transform of a causal signal x₁ (t) is given by S X₁(s) = 52 +2 Using the Laplace transform properties, find the Laplace transform of the following signal x2(t). x2(t) = e2t+1 x₁(t − 1) - tx₁(2t - 1) (b) Suppose an LTI system T whose impulse response is given by h(t) e 2t 1(t) t 1(t) +28(t) What is the transfer function of the system? (c) If the input x2 (t) is applied to the system T, what will be the output Y₂(s)? Note, you just need to provide Laplace transform of the output y₂(t). Simplification is not needed in any part of this question.
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B) A 60-Hz generator is supply ing 60% of P max to an infinite bus through a reactive network. A fault occurs which increases the reactance of the network between the generator internal voltage and the infinite bus by 400%. When the fault is cleared, the maximum power that can be delivered is 80% of the original maximum value. Determine the critical clearing angle for the condition described.
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