Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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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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/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
Handwrite and step by step solutions
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 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. 0arrow_forwardThe 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_forwardPlease help answer this question.arrow_forward
- Give a sinusoidal solution equation 1 2 3 4 and 5 in 3D for plane waves. Subject is Electromagnetic Field Theory (EFT ).arrow_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_forwardPlease help with this question, please wite clearly and explain clearly, thanks.arrow_forwardElectronicarrow_forward
- EM 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_forwardQuestion and options are in the attached file.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
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