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
Question
Chapter 7, Problem 2P
To determine
The general expression for the electric and magnetic field fields of plane wave travelling in the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The electric field component of a y-polarized plane wave is given as Ey(z)=Aexp(-az-jßz). This wave propagates with a frequency of 831MHZ in a homogeneous, linear medium with a relative magnetic permeability of 1, a relative dielectric permeability of 3.3 and a conductivity of 2.8. If the electric field amplitude is 90V in the z=0 plane, what happens at the z=1cm distance?
A plane wave of which the electric field vector, E0=10V/m, f=5GHz, is parallel to x-z plane, arrives on a dielectric medium of permittivity εr,=4 with an incident angle of 45∞. Find the reflection coefficient, Γ, transmission coefficients, T, and reflection, transmission angles.
Calculate the incident angles for zero reflection and full reflection.
Calculate the phase velocity and wavelenght in both media.
A 120 MHz TE polarized wave with amplitude 1.0 V/m is obliquely incident from air (z < 0) onto a slab of lossless, nonmagnetic material with εr = 81 (z > 0). The angle of incidence is 70°. Evaluate the electromagnetic field conditions given to compute the values of the reflection and transmission coefficients
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
Similar questions
- 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 y-polarized smooth plane wave at a frequency of 3 GHz is propagating in the + x direction in a magnetic medium with a dielectric constant of 2.5 and a loss tangent of 0.05,a) Determine the distance at which the amplitude of the propagating wave will be halved.b) Find the impedance, wavelength and phase velocity of the wave in the medium.c) Assume E = ay 50sin (6π 10 9 t + π / 3) (V / m) at x = 0 and write your instantaneous expression of H for each t and x. (please show all steps one by one)arrow_forwardAt a frequency of 3 GHz and y-polarized, a plane wave travels in a magnetic medium with a dielectric constant of 2.5 and a loss tangent of 0.05 in the + x direction.a) Determine the distance at which the amplitude of the propagating wave will be halved.b) Find the impedance, wavelength and phase velocity of the wave in the medium.c) Assume E = ay50Sin (6pi (10 ^ 9) t + pi / 3) (V / m) at x = 0 and write the instantaneous expression of H for each t and x.arrow_forward
- A wave is normally incident upon a surface with a layered lossless dielectric. Find the magnitude of effective reflection coefficient if medium 1 is free space, medium 2 has a relative permittiviy of 4 medium 3 has a permittivity of 9, and the thickness of medium 2 is 12/2. ...arrow_forwardThe E field of a plane electromagnetic wave traveling in a non- magnetic non- conducting medium is given by E=ax5cos(109t+30Z). What is the dielectric constant of the medium ?arrow_forwardGiven is a linearly polarized uniform plane wave propagating in the +z-direction in seawater with E= 88cos(107πt)(V/m) at z= 0. Also εr= 72,μr= 1 and σ= 4(S/m). What is the phase constant? Also, what is skin depth? find the distancez1at which the amplitude of the wave decreasesto1%of its value at z= 0arrow_forward
- The dielectric constant of a uniform plane wave with a frequency of 3 GHz is linearly polarized in the y direction. and propagates in the +x direction in a non-magnetic medium with a loss tangent (tanδc) of 10^-2. a) Determine the distance at which the amplitude of the propagating wave will be halved. b) Determine the self-impedance, wavelength, phase velocity and skin thickness of the medium wave. find it. c) x= 0 E=ay50sin(6π109t+π/3) V/m by accepting Instant expression of H(x,t) write.arrow_forwarda) Compare E and H in dielectric and well-conducting medium with E and H in empty space.b) How can you absorb electromagnetic waves in the microwave region? Please explain.c) A spacecraft returning to Earth has 1015 m-3 ionized atoms around it and creates a density. Find the plasma frequency accordingly. Determine the cutoff wavelength taking into account communication with the ground station.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
- Which is correct for the electric field component after the electromagnetic wave is reflected perpendicular to the plane surface separating the two dielectric mediums? If the incident electric field component is 3 in the x direction, the reflected electric field component can be 5 in the x direction. If the incident electric field component is 3 in the x direction, the reflected electric field component is 3 in the x direction. If the incident electric field component is 3 in the x direction, the reflected electric field component is 3 in the -x direction. The reflected field component depends on the impedance values of the two environments.arrow_forwardIf 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_forwardWhich is correct for the reflection and transmission coefficients of the electromagnetic wave perpendicular to the plane surface separating the two dielectric mediums. The impedance of the medium with the incoming wave is 100 ohms, and the impedance of the medium with the transmitted wave is 200 ohms. a-Reflection coefficient 3, transmission coefficient 4b-Reflection coefficient 1/3, transmission coefficient 4/3c-Reflection coefficient -1, transmission coefficient 0d-Reflection coefficient 1, transmission coefficient 2arrow_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:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering 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,