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ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
9th Edition
ISBN: 9781260540666
Author: Hayt
Publisher: MCG CUSTOM
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Question
Chapter 14, Problem 35E
(a)
To determine
The Laplace transform of the given equation.
(b)
To determine
The Laplace transform of the given equation.
(c)
To determine
The Laplace transform of the given equation.
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Students have asked these similar questions
7. Let x(n) be a causal sequence with z-transform X(z) whose pole-zero plot is
shown below. Sketch the pole-zero plots and the ROC of the following
sequence:
Im(z)
X-
0.5
b)x2(n)=e#* x(n)
Re(z)
-05
-1
0.5
X-
-0.5
Please provide Handwritten answer.
The first question: State the difference between the controller and the sensors
Question 2: Find the Laplacian Transform for each of the following:
A. f(t) = 20
B. f(t)=1-5
C. f(t) = 81 + 14
D. f(t) = cos 20t
E. f (t) = 3t + sin 2t
F. f(t) = 100+ 12 sin 2t + 20t
The third question: Find the inverse Laplace transform of the following two functions:
A. Y(s) =
B. Y(s) =
Description
1. Find the z-transform of each of the following
sequences:
(a) x(n) = u(n) – u(n-12)
(b) x(n) = 6(n) + 36(n-1) + 26(n+3)
(c) x(n) = (1/2)^u(-n)
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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- Q1) Find the inverse z-transform f(n) for the following using long division method. 3z2(2z – 4) X(Z) : %3D (z – 2)(z – 0.7)(z – 1)arrow_forward* The inverse Z Transform of X(z) shown below using long division is 1+2z-1 X(2) = 1– 22-1 + 2-2 r(n) = 46(n + 1) + 26(n) + · · . r(n) = 26(n + 2) + 46(n + 1) + …· Option 3 Option 4 r(n) = 6(n) + 46(n – 1) + · · . x(n) = 6(n – 1) + 76(n – 2) + · · · Option 2 O Option 1 Oarrow_forward7. A pendulum moves with simple harmonic motion according to the equation: 0"+ 160= 0, where 0 is the angular displacement in radian and 0"= d²0/dt. Using method of Laplace transform, find 0 as a function of time if 0 = 0, and 0’ = 0.50 rad/s when t = 0. Express your answer in the form of a sinusoidal function.arrow_forward
- / Determine Z-transform for the following sequences: a) x[n] = ()"(u[n] – u [n – 1]) %3D - b) x[n] = " cos () u[n]arrow_forwardFind the Z-Transform for x(n) shown below including the ROC * æ(n) = ()"sin(-n)u(n) 4arrow_forwardFind the inverse z-transform for each of the following functions: 4z a. X(z) = 2+ %3D Z-1 Z-0.5 5z 2z b. X(z) %3D (z - 1)2 (z - 0.5)?arrow_forward
- Q1 Find the z transform for each of the following sequences: a) 3u(n-4) b) 2(-0.5)nu(n) c) 4e-2nu(n) d) 4(0.8) "cos (0.1лn)u(n) Q2 Given the two sequences x₁(n)= -28(n)+58(n-2) and x2(n)= 48(n-4) a) Let x3(n) = x₁(n) * x2 (n) Determine the Z transform of x3(n) b) Find x3(n) using the inverse transform of X3(z). Q3 Using the Z-transform properties and the Z-transform table find the inverse Z- transform for each of the following sequences a) 5- (7z/z+1) - (3z/z-0.5) b) (-3z/(z-0.5)) +[ 8z/(z−0.8)]+ [2z/(z-0.8)²] c) 3z/(z²+1.414z+1) d) (5z %/z-1)-[ z^²/(z−1)²] + [z −¹⁰0] + [z ³/z-0.75] Q4 Use partial fraction expansion, Find the inverse Z-transform of the following: a) [1/(z²+0.5z+0.06)] b) z/[(z+0.3)(z-0.5)] c) 5z/[(z-0.75) (z²-z+0.5)] d) 2z(z-0.4)/[(z-0.2)²(z+0.8)] Q5 A system is described by the following difference equation y(n)-0.5y(n-1) +0.06y(n-2)= (0.4)n-1u(n-1) Determine the solution when the initial conditions are y(-1) = 1 and y(-2)=2.arrow_forwardThe inverse z-transform of F(z) is: Select one: O a. f(k)= O b. f(k)= O c. f(k)= O d. f(k)= x (5)* x cos(0.92k +1.57) x(-5) x cos(0.92k-1.57) x (5)* x cos(0.92k-1.57) x (5)* x cos(1.57k - 0.92) F(2) = 25-62+25arrow_forwardDetermine the inverse z-transform of the following: 1-z-1 (a) Xa(z) = z-2? – 1-27 – I 1+z-2 (6) Хь(2) — 1+0.9z-! + 0.81z-2 Find the inverse z-transform of the second-order system 1+z X(z) = (1 – {2-1)? %3Darrow_forward
- Consider the following difference equation and excitation. y[n] – 1.5y[n – 1] + 0.5y[n – 2] = x[n] %3D (1, п 3D 1 l0, n + 1 x[n] %3D Use Z-transform techniques to determine y[n]. (NOTE: You can MATLAB, calculator, or any other software to perform partial fraction expansion.)arrow_forwardQ) Find the z-transform f(z) and sketch the pole-zero plot with the ROC for the following sequence. f(n) = (0.25)" u(n)+ (-0.5)" u(n)arrow_forwardWhich of the following is the correct statement(s) about the z-transform? O The ROC cannot contain any poles. O The ROC of a left-sided sequence is Iz| > rL 20 O If the ROC includes the unit circle the sequence is stable. O The ROC of the z-transform is a ring or disk in the z-plane centered at the origin.i.e., $$0\le r_R<\left|z\right| O The value of z is a complex number whose angle represents the discrete-time frequency.arrow_forward
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