Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 7.3, Problem 5CQ
To determine
The condition that defines an RHC-polarized wave.
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A plane wave in free space ( z<0) is incident normally on a large block of material with Er=12,Mr(meow),=3which occupies z >0. If the incident electric field is E=30 cos(wt-z)ay V/mfind:
(a) wave speed,u and polarization direction
(b) the standing wave ratio,
(c) the transmitted and reflected magnetic field, Ht and Hr
2.a) An EM field is said to be nonexistent or not Maxwellian if it fails to satisfy Maxwell’s equations and the wave equations derived from them. State whether the following field in free space is Maxwellian or not.
E=100sin(10^8t+x/root3)a^z .
If it is Maxwellian; find the magnetic field, H.
2.b) Suppose E fields and H fields are:
E=Eoej(k.r-wt)
H=Hoej(k.r-wt)
k = kxax + kyay + kzaz and r = xax+yay+zaz
Show that Nabla *E=-db/dt can be expressed as K * E = mwH and deduce ak * aE = aH
For the same fields:
Show that Maxwell’s equation in a source-free region can be written as
k.E = 0
k.h=0
k * E = mwH
k…
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…
Can you solve this problem step by steps
A uniform plane wave propagating through a medium has E = 2 e-αz sin (106 t –βz) ay V/m.If the medium is characterized by εr = 1, μr = 10, and σ = 3 mhos/m, find(a) Check whether the medium is conductive or not(b) The attenuation constant and phase constant (c) Skin depth(d) H field
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
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- Electromagnetic wave is travelling through a dielectric medium with relative permittivity of 4 and relative permeability of 2.5. what will be the velocity of electromagnetic wave in that medium?arrow_forwardType your question here A 150-MHz uniform plane wave is normally incident from air onto a material whose intrinsic impedance is unknown. Measurements yield a standing wave ratio of 3 and the appearance of an electric field minimum at 0.3 wavelengths in front of the interface. Determine the impedance of the unknown material.arrow_forwardA good sheet-shaped conductor transmits a planar electromagnetic wave with a wavelength of 0.5 mm and traveling at a speed of 5 × 105 m / sec. Assuming that the conductor is non-magnetic, determine the frequency of the wave and the conductivity of the conductor?arrow_forward
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