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Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Textbook Question
Chapter 14.10, Problem 21P
The parallel combination of 0.25 mH and 5 Ω is in series with the parallel combination of 40 μF and 5 Ω. (a) Find Zin(s), the input impedance of the series combination. (b) Specify all the zeros of Zin(s). (c) Specify all the poles of Zin(s). (d) Draw the pole-zero configuration.
Expert Solution & Answer
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Students have asked these similar questions
The first photo is question 1
a) Write down the order of the transfer function in each of the following cases. Assume that
there are no terms in the numerator that will cancel terms in the denominator.
10
H(s)
H(s)
=
s+1
5
(s+3)(s—. 4)
4s1
5
H(s)
=
H(s)
-
83 +1
s27s
6
H(s)
H(s)
=
s(s²+4s)
2s27s+1
84583882 +3s+2
H(s)
83 +8
s+1
=
H(s)
s34s26s+5
s52s4383 + 4s2 +5s +6
Question 5 (
A system is found to have zeros of -3 and poles of 4, and -2. The system also has a gain of
4. Write out the corresponding transfer function.
Question 6.
A system has a transfer function of
What is the gain, K, of the system?
Question 7 (
A system has a transfer function of
H(s)
-
4
8+5
H(s):
=
4
8 +5
A step input of size 3 is applied to the system at time zero (Since we're dealing with transfer
functions, x(0) is also zero at time zero).
a) [10] What is the response ✗(s) of the system?
b) [10] Derive the time dependent solution, x(t), of this response
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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- Note: You might want to do the last question first because the last question asks you to write some python code to calculate the zeros and poles. You could use that code here to help you (except the first problem which you should be able to do by inspection alone) Find the poles and zeros for each of the following transfer functions 1. S+3 H(s) = 8 5 2. H(s): = s238 +1 s2 +48 +3 3. s(s+4) H(s) s3+2s23s 4. 82-586 H(s) = - 8382-68 5. H(s): = s2 +48 +3 s45836s2 - 6arrow_forwardWrite python program to plot the zeros and poles if a user provides the coefficients for the numerator and denominator of the transfer function. Since the zeros and poles can be complex, this plot is essentially and argand diagram, where the x axis is the real component and the y axis the imaginary component of a given zero or pole. Create a method called plot-poles zeros(num, den) which takes two lists containing the coefficients. Here is an example and the resulting plot. num [1, 3, 7] # yields zeros at -1.5 +/- 2.17945j den = [1, 4, 5, 3] # yields poles at -2.46557, -0.7672143 +/- 0.7925519j plot_poles_zeros(num, den) Imaginary Page 2 Pole-Zero Plot 3 Zeros × Poles 2 1 -2 1 * Real When you write your code you are only allowed to use the packages numpy and matplotlib. Make sure you label the axes, provide a legend and give a title to your plot (See the example plot). Hint: numpy has a method called roots. When given a list of numbers corresponding to the coefficients of a polynomial,…arrow_forwarda) [10] Compute the zeros and poles for the following transfer function: $2 +5s+6 H(s): s2 +3s+2 b) [10] Factor both polynomials in the numerator and denominator. What does this tell you about one of the poles and zeros you found in a)?arrow_forward
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