Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 7.3, Problem 4CQ
An elliptically polarized wave is characterized by amplitudes ax and ay and by the phase difference δ. If ax and ay are both nonzero, what should δ be in order for the polarization state to reduce to linear polarization?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A circularly polarized electromagnetic wave propagating in air has an electric field given by E→ = E[cos(kz - ωt) î + sin(kz - ωt) ĵ] . This wave is incident with an intensity of 150 W/m2 at the polarizing angle up onto a flat interface perpendicular to the xz-plane with a material that has index of refraction n = 1.62. (a) What is the angle of refraction θb? (b) The ratio between the electric-field amplitude in the reflected wave and the electric-field amplitude of the component of the incident wave polarized parallel to the interface is sin(θp - θb)/sin(θp + θb). (This result, known as the Fresnel equation, may be derived using deeper analysis.) From this relationship, determine the intensity Ireflected of the reflected wave. (c) Determine the intensity I‘ of the component of the refracted wave polarized parallel to the interface. (d) Determine the intensity I of the component of the refracted wave polarized in the x-direction. (e) The reflected wave is linearly polarized and the…
A uniform plane wave propagating in a medium has overline E =2e^ -az sin(10^ 8 t- beta z) hat y V/m . If the medium is characterized by epsilon R =1 mu R =20 , and o=3 S/m, find a, B and overline H
In a material the loss tangent is 0.12 at 1MHz. The material has a refractive indexof 1.33. Find the depth at which the power of an EM wave would fall to 0.5 of its actualpower. Can the material be characterized as lossy?
Chapter 7 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 7.2 - What is a uniform plane wave? Describe its...Ch. 7.2 - Since E and H are governed by wave equations of...Ch. 7.2 - If a TEM wave is traveling in the y direction, can...Ch. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - If the magnetic field phasor of a plane wave...Ch. 7.2 - Repeat Exercise 7-3 for a magnetic field given by...Ch. 7.3 - An elliptically polarized wave is characterized by...Ch. 7.3 - Prob. 5CQCh. 7.3 - The electric field of a plane wave is given by...
Ch. 7.4 - If the electric field phasor of a TEM wave is...Ch. 7.4 - The constitutive parameters of copper are = 0 = 4...Ch. 7.4 - Prob. 8ECh. 7.4 - For a wave traveling in a medium with a skin depth...Ch. 7.5 - Prob. 6CQCh. 7.5 - In a good conductor, does the phase of H lead or...Ch. 7.5 - Prob. 8CQCh. 7.5 - Is a conducting medium dispersive or...Ch. 7.5 - Compare the flow of current through a wire in the...Ch. 7.6 - Convert the following values of the power ratio G...Ch. 7.6 - Find the voltage ratio g corresponding to the...Ch. 7 - The magnetic field of a wave propagating through a...Ch. 7 - Prob. 2PCh. 7 - The electric field phasor of a uniform plane wave...Ch. 7 - The electric field of a plane wave propagating in...Ch. 7 - A wave radiated by a source in air is incident...Ch. 7 - The electric field of a planewave propagating in a...Ch. 7 - The magnetic field of a plane wave propagating in...Ch. 7 - A 60 MHz plane wave traveling in the x direction...Ch. 7 - Prob. 9PCh. 7 - For a wave characterized by the electric field...Ch. 7 - Prob. 11PCh. 7 - The magnetic field of a uniform plane wave...Ch. 7 - A linearly polarized plane wave of the form...Ch. 7 - The electric field of an elliptically polarized...Ch. 7 - Compare the polarization states of each of the...Ch. 7 - Plot the locus of E(0, t) for a plane wave with...Ch. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - In a medium characterized by r = 9, r = 1, and =...Ch. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - The skin depth of a certain nonmagnetic conducting...Ch. 7 - Prob. 24PCh. 7 - The electric field of a plane wave propagating in...Ch. 7 - The magnetic field of a plane wave propagating in...Ch. 7 - At 2 GHz, the conductivity of meat is on the order...Ch. 7 - In a nonmagnetic, lossy, dielectric medium, a 300...Ch. 7 - A rectangular copper block is 30 cm in height...Ch. 7 - Prob. 30PCh. 7 - The inner and outer conductors of a coaxial cable...Ch. 7 - Prob. 32PCh. 7 - The magnetic field of a plane wave traveling in...Ch. 7 - A wave traveling in a nonmagnetic medium with r =...Ch. 7 - The electric-field phasor of a uniform plane wave...Ch. 7 - Prob. 36PCh. 7 - A wave traveling in a lossless, nonmagnetic medium...Ch. 7 - At microwave frequencies, the power density...Ch. 7 - Consider the imaginary rectangular box shown in...Ch. 7 - Repeat Problem 7.39 for a wave traveling in a...Ch. 7 - Given a wave with E=x E0 cos(t kz): (a) Calculate...Ch. 7 - Prob. 42P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the phase constant of the wave?arrow_forwardA linearly polarised EM wave is propagating in the x-direction in free space. Its frequency is 2 x 1014 Hz, its amplitude is 5 V/m and the plane of polarisation is oriented at 60o with respect to the y-direction. Write down a numeric expression for the electric field vector of this EM wave including its dependence on position and time.arrow_forwarda uniform plane wave propagates in a medium of characteristics e1 = 3.4e0, u1 = u0. And the following phasor expression Ei = y400e ^ -j (7z) (V / m) The wave is incident on a medium with e2 = 5e0, u2 = u0 and tanSc = 150. Calculate: (a) the bending coefficient, (b) Write the field phasor H REFLECTEDarrow_forward
- A uniform plane wave has a Ex0 = 100 V/m spreads in z direction in a dissipative material that has o = 20 S/m, ur = 1, Er= 50. if works at a frequency f = 300Mhz Find: Propagation constant (for k = 0 and k = 1), phase constant,dimming constantarrow_forwardA plane wave that propagates through a medium with E = (30) pF/m and μ= 6 μH/m, has a field value H = (12)?−4? cos (108? + By) ax A/m Determine B and Earrow_forwardA plane wave propagating through a medium with er = 8, μr = -2 has E = 0.5 e-z/3 sin(108t - βz) ax V/m. Determine (a) β (b) The loss tangent (c) Wave impedance (d) Wave velocity (e) H fieldarrow_forward
- If a wave propagating in z-direction and incident on the air-glass interface at z= 0, plot the E field (amplitudes only) in the yz plane (plane of incidence) for :a. TE incidenceb. TM incidence Take -2lambda<y,z<2lambda for plotting. (Take lambda of your own choice. Amplitude = 1V/m.) If the angle of incidence is 30 degrees in the above case, what should be the E field distribution?arrow_forwardThe plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the distance the wave's amplitude will be halved? 2.44 cm 2.5 cm 24.4 cm 27.7 cm 2.5 metersarrow_forwardA uniform plane wave propagating in a medium has E=3e^ - alpha z sin(10^ 9 t- beta z)a y V/m If the medium is characterized by epsilon r =1 , mu r =10 , and o = 3 S/m, find a, b, and H.arrow_forward
- If for a plane wave, the electric field strength is 2 V/m and the magnetic field strngth is 5.2 mA/m, then estimate the value of the intrinsic impedance of the propagating mediumarrow_forwardA plane electromagnetic wave having a frequency of 40 MHz is traveling through a medium with relative permittivity of 4 and relative permeability of 5. Find out the phase velocity of the wave along with the wavelength.arrow_forwardA 4ghz uniform plane wave has an amplitude of evo = 1.6kv/m at origin (0,0,0,t=0) and is propagating in a direction in the medium with e" = 1.6x10¹¹f/m, e' = 3.0×10¹¹f/m and µ = 3.2µh/m .determine the electric field intensity e, and h at p (0,0,2 cm) at 0.25 ns.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
What Is a Plane Wave? — Lesson 2; Author: EMViso;https://www.youtube.com/watch?v=ES2WFevGM0g;License: Standard Youtube License