EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 8.1, Problem 3CQ
Explain on the basis of boundary conditions why it is necessary that Г = −1 at the boundary between a dielectric and a perfect conductor.
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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 8 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
Ch. 8.1 - Prob. 1CQCh. 8.1 - In the radar radome design of Example 8-1, all the...Ch. 8.1 - Explain on the basis of boundary conditions why it...Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Obtain expressions for the average power densities...Ch. 8.2 - In the visible part of the electromagnetic...Ch. 8.2 - If the light source of Exercise 8-4 is situated at...Ch. 8.3 - If the index of refraction of the cladding...Ch. 8.4 - Prob. 4CQ
Ch. 8.4 - What is the difference between the boundary...Ch. 8.4 - Why is the Brewster angle also called the...Ch. 8.4 - At the boundary, the vector sum of the tangential...Ch. 8.4 - A wave in air is incident upon a soil surface at i...Ch. 8.4 - Determine the Brewster angle for the boundary of...Ch. 8.4 - Prob. 9ECh. 8.8 - What are the primary limitations of coaxial cables...Ch. 8.8 - Can a TE mode have a zero magnetic field along the...Ch. 8.8 - What is the rationale for choosing a solution for...Ch. 8.8 - What is an evanescent wave?Ch. 8.8 - For TE waves, the dominant mode is TE10, but for...Ch. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.10 - Why is it acceptable for up to exceed the speed of...Ch. 8.10 - Prob. 13ECh. 8.10 - Prob. 14ECh. 8 - A plane wave in air with an electric field...Ch. 8 - A plane wave traveling in medium 1 with r1 = 2.25...Ch. 8 - A plane wave traveling in a medium with r1 = 9 is...Ch. 8 - A 200 MHz, left-hand circularly polarized plane...Ch. 8 - Prob. 5PCh. 8 - A 50 MHz plane wave with electric field amplitude...Ch. 8 - What is the maximum amplitude of the total...Ch. 8 - Repeat Problem 8.6, but replace the dielectric...Ch. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Repeat Problem 8.10, but interchange r1 and r3.Ch. 8 - Orange light of wavelength 0.61 m in air enters a...Ch. 8 - A plane wave of unknown frequency is normally...Ch. 8 - Consider a thin film of soap in air under...Ch. 8 - A 5 MHz plane wave with electric field amplitude...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - A plane wave in air with E=y20ej(3x+4z) (V/m) is...Ch. 8 - Prob. 28PCh. 8 - A plane wave in air with Ei=(x9y4z6)ej(2x+3z)(V/m)...Ch. 8 - Natural light is randomly polarized, which means...Ch. 8 - A parallel-polarized plane wave is incident from...Ch. 8 - A perpendicularly polarized wave in air is...Ch. 8 - Show that the reflection coefficient can be...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - A 50 MHz right-hand circularly polarized plane...Ch. 8 - Consider a flat 5 mm thick slab of glass with r =...Ch. 8 - Derive Eq. (8.89b).Ch. 8 - Prob. 39PCh. 8 - A TE wave propagating in a dielectric-filled...Ch. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47P
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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
- Pls show neat and whole solutionarrow_forward2. Find the steady-state current i(t) in the circuit shown below when Vs(t) = 100cos(500t -30) volts. Express your answer in cosine form i.e., i(t) Im cos (oot+). (20 pts) LLE) 10052 Vs (E) 40uF 0.3 Harrow_forward1. Determine the thevenin equivalent circuit (i.e., Vth, Zth) from the terminals a-b in the circuit shown below. (15 pts) j512 1052 1020arrow_forward
- Need schematic diagram for this computerized don't use guidelines answer okk will dislikearrow_forwardthe question with its answer but i still dont see how the expansion and the calculation done. please show detailed steps.arrow_forwardQ6) Find the current density J for the magnetic field intensity vectors: (a) H = x²yax + y²zay - 2xzaz pzap + p³a + 3pz²a (b) H = sin cos (c) H = a,arrow_forward
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