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
Videos
Textbook Question
Chapter 1.4, Problem 6E
An electromagnetic wave is propagating in the z direction in a lossy medium with attenuation constant α =0.5 Np/m. If the wave’s electric-held amplitude is 100 V/m at z = 0, how far can the wave travel before its amplitude is reduced to (a) 10 V/m, (b) 1 V/m, (c) 1/μV/m?
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?
In a uniform electromagnetic wave which is at a significant distance from the source of energy if the wave is falling from medium 1(z<0,σ=0,µr = 2,ɛr =9) to a second medium where the values are (z>0,σ=0,µr = 16,ɛr =4) . Find the values of reflection and transmission coefficient in this scenario
A 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)
Chapter 1 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 1.3 - Prob. 1CQCh. 1.3 - What is Coulombs law? State its properties.Ch. 1.3 - What are the two important properties of electric...Ch. 1.3 - What do the electrical permittivity and magnetic...Ch. 1.3 - What are the three branches and associated...Ch. 1.4 - How can you tell if a wave is traveling in the...Ch. 1.4 - Prob. 7CQCh. 1.4 - Why does a negative value of 0 signify a phase...Ch. 1.4 - Consider the red wave shown in Fig. E1.1. What is...Ch. 1.4 - The wave shown in red in Fig. E1.2 is given by...
Ch. 1.4 - The electric field of a traveling electromagnetic...Ch. 1.4 - Prob. 4ECh. 1.4 - The red wave shown in Fig. E1.5 is given by...Ch. 1.4 - An electromagnetic wave is propagating in the z...Ch. 1.5 - What are the three fundamental properties of EM...Ch. 1.5 - What is the range of frequencies covered by the...Ch. 1.5 - Prob. 11CQCh. 1.6 - Express the following complex functions in polar...Ch. 1.6 - Show that 2j=(1+j). (See EM.)Ch. 1.7 - Prob. 12CQCh. 1.7 - How is the phasor technique used when the forcing...Ch. 1.7 - A series RL circuit is connected to a voltage...Ch. 1.7 - A phasor voltage is given by V=j5V. Find (t).Ch. 1 - A 2 kHz sound wave traveling in the x direction in...Ch. 1 - For the pressure wave described in Example 1-1,...Ch. 1 - A harmonic wave traveling along a string is...Ch. 1 - A wave traveling along a string is given by...Ch. 1 - Two waves, y1(t) and y2(t), have identical...Ch. 1 - The height of an ocean wave is described by the...Ch. 1 - A wave traveling along a string in the +x...Ch. 1 - Two waves on a string are given by the following...Ch. 1 - Give expressions for y(x, t) for a sinusoidal wave...Ch. 1 - An oscillator that generates a sinusoidal wave on...Ch. 1 - Prob. 11PCh. 1 - Given two waves characterized by...Ch. 1 - The voltage of an electromagnetic wave traveling...Ch. 1 - A certain electromagnetic wave traveling in...Ch. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Complex numbers z1 and z2 are given z1=3j2z2=4+j3...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=2+j4, determine the following quantities in...Ch. 1 - Find complex numbers t=z1+z2 and s=z1z2, both in...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=3j5, find the value of ln(z).Ch. 1 - If z = 3 j4. find the value of ez.Ch. 1 - Prob. 24PCh. 1 - A voltage source given by s(t)=25cos(2103t30)(V)...Ch. 1 - Find the phasors of the following time functions:...Ch. 1 - Find the instantaneous time sinusoidal functions...Ch. 1 - A series RLC circuit is connected to a generator...Ch. 1 - The voltage source of the circuit shown in Fig....
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
- At 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_forwardIf the electric field intensity associated with a uniform plane electromagnetic wave traveling in a perfect dielectric medium is given by E(z, t) = 10 cos (2π10^7t- 0.1πz)V/m, then find the velocity of the traveling wave.arrow_forwardA 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.arrow_forward
- The 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_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_forwardIf 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_forward
- A 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 plane electromagnetic wave is having a frequency of 20 MHz. If the value of relative permitivity and relative permeability is 5 and 4 respectively, what will be value of the velocity of the wave provided the medium is lossless.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
- 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_forwardA plane electromagnetic wave of frequency f = 1 GHz propagates in a non-magnetic medium with relative dielectric permittivity er = 9 and conductivity s = 0.1 S/m. Find the constants a, b, and h for this medium. Write the time-domain expression of the electric field E, assuming that its magnitude is 10 volts/m, its only component is along x , and the propagation is along the z Write the time-domain equation for the correspondent magnetic field H.arrow_forwardPlease answer both. 1. The electric field associated with a uniform plane wave propagating in the +z-direction in a nonmagnetic (u = uo.) material medium is given by Ē = Eo.e-2z cos(6(3)1/2 pi x 107 – 3z)x^ (V/m), a. Find the conductivity (sigma) of the medium. b. Find the permittivity ε of the medium. 2. For the circuit shown below: Determine R, if V(t = 3.8 us, l = 50m) = 62 (V). For the plane wave in free space, the electric field is defined as follows Ē = Eo. cos(6pi x 108t + 2pix)z^ Compute velocity and wavelength of the wave.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: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,
What Is a Plane Wave? — Lesson 2; Author: EMViso;https://www.youtube.com/watch?v=ES2WFevGM0g;License: Standard Youtube License