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Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 7, Problem 7.5P
The parallel filamentary conductors shown in Figure 7.21 lie in free space. Plot |H| versus y, -4
Expert Solution & Answer
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Students have asked these similar questions
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 - 6
Write 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,…
a) [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)?
Chapter 7 Solutions
Engineering Electromagnetics
Ch. 7 - Find H in rectangular components at P(2,3,4) if...Ch. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - The parallel filamentary conductors shown in...Ch. 7 - A disk of radius a lies in the xy plane, with z...Ch. 7 - Prob. 7.7PCh. 7 - For the finite-length current element on the z...Ch. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - A solenoid of radius a and of length. L is...Ch. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - A current filament carrying I in the -az direction...Ch. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - A solid conductor of circular cross section with a...Ch. 7 - Prob. 7.21PCh. 7 - Prob. 7.22PCh. 7 - Prob. 7.23PCh. 7 - Prob. 7.24PCh. 7 - Prob. 7.25PCh. 7 - Prob. 7.26PCh. 7 - The magnetic field intensity is given in a certain...Ch. 7 - Given H=(3r2/sin)a+54rcosa A/m in free space: (a)...Ch. 7 - Prob. 7.29PCh. 7 - Prob. 7.30PCh. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Use an expansion in rectangular coordinates to...Ch. 7 - A filamentary conductor on the z axis carries a...Ch. 7 - A current sheet K = 20 az A/m, is located at p =...Ch. 7 - Let A= (3y-z)ax+2xzayWb/m in a certain regin of...Ch. 7 - Let/N=1000, I=.08 A, p0=2 cm and a=.08 cm for the...Ch. 7 - A square filamentary differential current loop, dL...Ch. 7 - Prob. 7.39PCh. 7 - Show that the line integral of the vector...Ch. 7 - Prob. 7.41PCh. 7 - Show that 2(1/R12)=1(1/R12)=R21/R312.Ch. 7 - Compute the vector magnetic potential within the...Ch. 7 - Prob. 7.44P
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