ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
9th Edition
ISBN: 9781260540666
Author: Hayt
Publisher: MCG CUSTOM
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Textbook Question
Chapter 14, Problem 44E
Employ the initial-value theorem to determine the initial value of each of the following time-domain functions: (a) u(t − 3); (b) 2e−(t−2)u(t − 2); (c)
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4) Sketch the following signals
-
a) w(t) = u(t) — u(t – 1) where u(t) is the unit step function.
b) p(t) = sin(2πt)w(t)
- P(t - 2n)
8(t = n)
d)
n=-∞
e) a[n], where the (complex) discrete time signal
∞
f) Za[n]
g) x(t)]², where r(t) = 2-¹jt
h) Zx(t)
a[n] =
j
n
2
n‡0
n = 0
Now consider the following continuous-time system with input and output specified sepa-
rately, where u(t) is the unit step function:
r(t) = u(t) + 2u(t- 2)
y(t) = u(t)(1 – e-) + u(t – 2)(2 – 2e-(t-2)
%3D
(d) Is this system linear, and why?
(b)
Consider a following continuous-time signals below:
f(t) = u(t + 3) - u(t – 1)
m(t) = 8(t + 1) – 8(t – 1)
Detemine AND sketch f(t) * m(t).
Chapter 14 Solutions
ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
Ch. 14.1 - Identify all the complex frequencies present in...Ch. 14.1 - Use real constants A, B, C, , and so forth, to...Ch. 14.2 - Let f (t) = 6e2t [u(t + 3) u(t 2)]. Find the (a)...Ch. 14.3 - Prob. 4PCh. 14.3 - Prob. 5PCh. 14.4 - Prob. 6PCh. 14.4 - Prob. 7PCh. 14.4 - Prob. 8PCh. 14.4 - Prob. 9PCh. 14.5 - Prob. 10P
Ch. 14.5 - Prob. 11PCh. 14.5 - Prob. 12PCh. 14.6 - Prob. 13PCh. 14.7 - Prob. 14PCh. 14.7 - Prob. 15PCh. 14.8 - Find the mesh currents i1 and i2 in the circuit of...Ch. 14.8 - Prob. 17PCh. 14.8 - Prob. 18PCh. 14.9 - Using the method of source transformation, reduce...Ch. 14.9 - Prob. 20PCh. 14.10 - The parallel combination of 0.25 mH and 5 is in...Ch. 14.11 - Prob. 22PCh. 14.11 - Prob. 23PCh. 14.11 - Prob. 24PCh. 14.11 - Prob. 25PCh. 14.12 - Prob. 26PCh. 14 - Determine the conjugate of each of the following:...Ch. 14 - Compute the complex conjugate of each of the...Ch. 14 - Several real voltages are written down on a piece...Ch. 14 - State the complex frequency or frequencies...Ch. 14 - For each of the following functions, determine the...Ch. 14 - Use real constants A, B, , , etc. to construct the...Ch. 14 - The following voltage sources AeBt cos(Ct + ) are...Ch. 14 - Prob. 8ECh. 14 - Compute the real part of each of the following...Ch. 14 - Your new assistant has measured the signal coming...Ch. 14 - Prob. 11ECh. 14 - Prob. 12ECh. 14 - Prob. 13ECh. 14 - Prob. 14ECh. 14 - Prob. 15ECh. 14 - Prob. 16ECh. 14 - Determine F(s) if f (t) is equal to (a) 3u(t 2);...Ch. 14 - Prob. 18ECh. 14 - Prob. 19ECh. 14 - Prob. 20ECh. 14 - Prob. 21ECh. 14 - Evaluate the following: (a)[(2t)]2 at t = 1;...Ch. 14 - Evaluate the following expressions at t = 0: (a)...Ch. 14 - Prob. 24ECh. 14 - Prob. 25ECh. 14 - Prob. 26ECh. 14 - Prob. 27ECh. 14 - Prob. 28ECh. 14 - Prob. 29ECh. 14 - Prob. 30ECh. 14 - Prob. 31ECh. 14 - Prob. 32ECh. 14 - Prob. 33ECh. 14 - Obtain the time-domain expression which...Ch. 14 - Prob. 35ECh. 14 - Prob. 36ECh. 14 - Prob. 37ECh. 14 - Prob. 38ECh. 14 - Prob. 39ECh. 14 - Prob. 40ECh. 14 - Prob. 41ECh. 14 - Obtain, through purely legitimate means, an...Ch. 14 - Prob. 43ECh. 14 - Employ the initial-value theorem to determine the...Ch. 14 - Prob. 45ECh. 14 - Prob. 46ECh. 14 - Prob. 47ECh. 14 - Prob. 48ECh. 14 - Prob. 49ECh. 14 - Prob. 52ECh. 14 - Determine v(t) for t 0 for the circuit shown in...Ch. 14 - Prob. 54ECh. 14 - Prob. 55ECh. 14 - For the circuit of Fig. 14.54, (a) draw both...Ch. 14 - Prob. 58ECh. 14 - Prob. 59ECh. 14 - Prob. 60ECh. 14 - For the circuit shown in Fig. 14.58, let is1 =...Ch. 14 - Prob. 63ECh. 14 - Prob. 64ECh. 14 - For the circuit shown in Fig. 14.62, determine the...Ch. 14 - Prob. 67ECh. 14 - Prob. 68ECh. 14 - Determine the poles and zeros of the following...Ch. 14 - Use appropriate means to ascertain the poles and...Ch. 14 - Prob. 71ECh. 14 - For the network represented schematically in Fig....Ch. 14 - Prob. 73ECh. 14 - Prob. 74ECh. 14 - Prob. 75ECh. 14 - Prob. 76ECh. 14 - Prob. 77ECh. 14 - Prob. 78ECh. 14 - Prob. 79ECh. 14 - Prob. 80ECh. 14 - Prob. 81ECh. 14 - Prob. 82ECh. 14 - Design a circuit which produces the transfer...Ch. 14 - Prob. 84ECh. 14 - Prob. 85ECh. 14 - An easy way to get somebodys attention is to use a...Ch. 14 - Prob. 87E
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- Determine the convolution of the continuous-time signals given below; y(t) = x(t) * h(t) = ?arrow_forwardFor a continuous-time system with input x (t) output y (t) = x (t) u (t): a- Is the system changing over time? Prove your answer. b- Is the system linear? Prove your answer.arrow_forwardEvaluate the following integrals: a) I = + 2)[8(t) + 88(t – 1)]dt. b) I = | P[8(t) + 8(t + 1.5) + 8(t – 3)]dt.arrow_forward
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