Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter 14, Problem 26E
(a)
To determine
The expression for
(b)
To determine
The expression for
(c)
To determine
The expression for
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Get the total response of the LTI system described by the differential equation below for a unit step input and initial
= 1,
dy(0)
dt
= 0.
+3 + 2y(t) = 4x(t)
conditions y(0)
d² y(t) dy(t)
dt²
dt
a. y(t) = (−2e¯¹ + e-²¹ + 2)u(t)
b. y(t) = (6e¯¹ – 3e-²t + 2)u(t)
c. y(t) = 0
-2t
d. y(t) = (2e¯¹ — e−²t + 2)u(t)
For a continuous time LTI system, the output is given as
Y(s)=10(2s+3)/(s2+4s+5).
Find out the final value of y(t) using final value theorem.
Let x(t) = u(cos (2nt)) (u(t)-u(t-2)) and h(t) = eu(t), and let y (t) = x(t) * h(t). What is the
value of y (2) ?
Hint: u(x) is the unit step function
None of the choices
O y(2) = 0.1198
O y(2) = 0.27662
%3D
O y(2) = 0.037437
O y(2) = 0.10177
O y(2) = 0.32569
Chapter 14 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
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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- 4) Consider a continuous time LTI system whose step response is given by s(t)=e¬t u(t). Determine and sketch the output of this system to the input x(t) shown. x(t) -1arrow_forwardLet Y(s) be the unit-step response of a causal system, having a transfer function 3-S G(s) = (s+ 1)(s+ 3) that is, Y(s) = G(s) The forced response of the system is (a) u(t) (b) 2u(t) (c) u(t) - 2e'u(t) + e 3tu(t) (d) 2u(t) - 2eu(t) + e 3tu(t)arrow_forwardThe initial value of f) with transform s+1 F(s) = (s +2)(s + 3) %3D (a) nonexistent (b) (c) 0 (d) 1arrow_forward
- 24 The initial value of f(t) is s+4 If F(s) s²+3s+2 The initial value of f(t) is ....... 1 2 0 0.5 =arrow_forwardUse G (s) = C(O) R(a) to find the response, c(t) to an input, r(t) = u(t), a unit step, assuming zero initial conditions.arrow_forwardThe following differential equation describes an LTIC system: 1y" (t) +9 (t) +1, 63(t) = x(t) Find the zero-input response for t=1,5, y(1,5) when the initial conditions are y(0) = 1,3,y (0) = 3,8 O a. 1,35 ОБ.0,67 O c. 0,81 O d. 1,75 О е. 2,15 O f. 1,08 O g. 2,69 O h. 2,56arrow_forward
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