Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 11, Problem 11.10P
To determine
(a)
The value of
To determine
(b)
The value of
To determine
(c)
The value of
To determine
(d)
The value of< S > .
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Students have asked these similar questions
The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction
has an amplitude of 30 mA/m and a frequency of 0 Hz . If the wave is polarized on the positive z direction
and its wavelength is 12.6 meter, find the relative permittivity of the material. Assume the initial phase is 0.
Select one:
O a. 2.25
O b. 1.5
O C. 1.2
O d. 2.9
O e. 1
O f. 0
/Wave Propagation in Dielectrics: Assume the wave equation can be
Written as
?
2???
??2 = −?
2???, where k is the complex propagation constant and ?? = ? + ??. The electric field
can be written as ?(?,?) = ??0?
−??cos(?? − ??). Assume that we have a complex permittivity ? = ?
′−??′′
. From the given information, derive mathematical expressions for α,?,and ? as functions of ?, ? and ?
′′
?
′
.Also
explain the role of ? and ? given that ? ≥ 0
The magnetic field phasor of a uniform plane wave traveling in a non-magnetic medium with intrinsic
impedance.
n = 100 N is Ĥ = (59 + 32)e-/4x (mA/m).
a) What is the direction of wave propagation?
b) Find the frequency of the signal.
c) Is this wave traveling in lossy or lossless media? Show your work and explain.
d) Find the associated electric field phasor.
Chapter 11 Solutions
Engineering Electromagnetics
Ch. 11 - Show that Ex8 = Aej(k0z+) is a solution of the...Ch. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Small antennas have low efficiencies (as will be...Ch. 11 - Consider two x-polarized waves that...Ch. 11 - A uniform plane wave has electric field E8 =...Ch. 11 - Prob. 11.7PCh. 11 - An electric field in free space is given in...Ch. 11 - An example of a nonuniform plane wave is a surface...Ch. 11 - Prob. 11.10P
Ch. 11 - A uniform plane wave at frequency f= 100 MHz...Ch. 11 - Repeat Problem 11.11, except the wave now...Ch. 11 - Let jk = 0.2 + jl.5 m -1 and y = 450 +J60 for a...Ch. 11 - Describe how the attenuation coefficient of a...Ch. 11 - A 10-GHz radar signal may be represented as a...Ch. 11 - Consider the power dissipation term. E.jdv, in...Ch. 11 - Prob. 11.17PCh. 11 - Given, a 100-MHz uniform plane wave in a medium...Ch. 11 - Prob. 11.19PCh. 11 - Prob. 11.20PCh. 11 - Prob. 11.21PCh. 11 - Prob. 11.22PCh. 11 - Prob. 11.23PCh. 11 - (a) Most microwave ovens operate at 2.45 GHz....Ch. 11 - Let jk = 0.2 + jl.5 m-1 and y\ = 450 +j60 Q for a...Ch. 11 - Prob. 11.26PCh. 11 - Prob. 11.27PCh. 11 - Prob. 11.28PCh. 11 - Consider a left circularly polarized wave in free...Ch. 11 - Prob. 11.30PCh. 11 - Prob. 11.31PCh. 11 - Prob. 11.32PCh. 11 - Given a wave for which Es=10ejxax+18ejxejayV/m. in...Ch. 11 - Given, a general elliptically polarized wave as...
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Similar questions
- The magnetic field phasor of a wave traveling in a medium with intrinsic impedance n = 120 2 is given by H = (2a -3a,) e S The associated electric field phasor is: -j3z 1 NOTE: You may use H = a × E or E = -na, x H, where a is a unit vector in the direction of the wave propagation. n E = S mA/m -240a,) -360ax -j3z = (-0.36a -0.24a,) e V S E E = = (-240a - 360a) e e -j3z -j3z V V E,= (-0.24a -0.36a,) e-j³² V -j3z е Sarrow_forwardQuestion " The intrinsic impedance of a medium is given by impedance in free space is: Hint: -8.854x10 and μo -4m x 10' H/m 2650 4890 1920 377 0 Q.So the intrinsicarrow_forwardThe magnetic field component of a plane wave in a lossless dielectric is H = 30 sin (2nx 10°t – 5z) a, mA/m a. If u=1 find b. Determine the direction of wave propagation c. Determine the polarization of the wave. d. Calculate the wavelength and wave velocity. e. Determine the wave impedance. f. Find the corresponding electric field component. g. Find the displacement current density. Er.arrow_forward
- The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the relative permittivity of the material. Assume the initial phase is 0. Select one: O a. 2.25 Ob. 1.5 Oc 12 d. 2.9 e. 1 f.0 magnetic field of a wve ga5a0d ena.ces n nonmadneti.cmaterian the DOsitive y directionarrow_forwardGive a sinusoidal solution equation 1 2 3 4 and 5 in 3D for plane waves. Subject is Electromagnetic Field Theory (EFT ).arrow_forwardGiven a wave with e = â„20e¹ª cos (10ºt + 4x). 4x a) Identify a and B. b) What medium is this (good conductor, quasi-conductor, good dielectric)? Justify your answer. c) Find phase velocity d) Find wave impedance n. e) Draw ây, âk, ⃠and ãä on the xz plane.arrow_forward
- A Moving to another question will save this response. Question 4 A radio wave is propagating at a frequency of 0.5MHZ in a medium (o = 3*10 S/m , Er = Hr =1).The wave length of the radio wave in that medium will be 3.55 Non of These 2.88 mm 5.88 A Moving to another question will save this response.arrow_forwardEM waves in a non-magnetic, lossless dielectric are given as follows: E(2.t) = 30.7 sin ( ox -:)à, H(2.t) = 0.5sin(ar - :) à, Find the wave velocity. Select one None ",-1.5x10'(m/sec) ", -3x10 (m/sec) ", -15x10'(rad/sec)| u,-0.75 x10'(m/sec)arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the negative z direction has an amplitude of 45mAlm and a frequency of 10Š Hz. If the wave is polarized on the positive x direction and the phase velocity of the wave is 10 m/s. Assume the initial phase is 30°. Find the relative permittivity of the material. Select one: O a. The relative permittivity of the material = 1 O b. The relative permittivity of the material = V3 O c. The relative permittivity of the material = 0 O d. The relative permittivity of the material = 3 O e. The relative permittivity of the material = 9 %3Darrow_forward
- 4. The electric field intensity of a wave propagating through a certain nonmagnetic material is given by E = 2sin(3t-2x) (V/m). Find the direction of the wave, the phase velocity, the wavelength in the material, the relative permittivity of the material, and the magnetic field intensity.arrow_forwarda) An electromagnetic wave propagating in free space with its electric field vector described by E = 30 sin(2n × 10°t – Bx) â̟V/m i. Determine the direction of wave propagation. Compute the period T and the wavelength, . Compute the phase constant Band the time it takes to travel a distance of 1/2. Determine the intrinsic impedance, n. Determine the magnetic field vector, H. 1i. ii. iv. V.arrow_forward8. A nonmagnetic medium has an intrinsic impedance 240e³/6. Find its complex permittivity.arrow_forward
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