Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 5, Problem 5.40P
To determine
The instantaneous electric field for reflected and transmitted wave.
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A rectangular copper block is depth d along z, width w along y, and length / along x.
In response to a wave incident upon the block from above, a current is induced in the block in
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at frequency f.
0: 5.8.107.-
S
m
/:=1.2 m d: 40 cm
W: 50 cm
f:=2 kHz
In a lossless medium
Select one or more:
a. The amplitude of the wave depends on the location
O b. The wave does not subside as it moves forward
c. Conductivity of the medium o = 0
Od. The permittivity and permeability of the medium are complex
Q.4 (a) In general, the media in which the electromagnetic (EM) wave propagates
include the free space, lossless dielectrics, lossy dielectrics and good conductors.
Classify materials in Table Q.4 into their respective media type for very low (VLF)
and extremely high (EHF) operating frequency. Take VLF = 3 kHz and
EHF = 30 GHz. Justify based on your calculations.
Table Q.4
Conductivity, o
[S/m]
10-3
Relative
Relative
Material
Permittivity, &r
Permeability, µr
Soil (wet)
Soil (dry)
10
1
10-6
8.
(b) Wireless underground sensor network (WUSN) is built to monitor soil conditions
for precise smart agriculture application. A soil sensor antenna is buried at
20 cm under the ground to communicate with a transceiver placed on the
surface of the ground as shown in Figure Q.4. The transceiver operates at 3 kHz.
The initial magnitude of electrical field, Eo is 100
condition with parameters as in Table Q.4:
(i)
Determine the attenuation constant, a.
ANTUK
(ii) Find the electric field, E with all…
Chapter 5 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 5 - Starting with Maxwells equations for simple,...Ch. 5 - Derive (5.10) by starting with the phasor point...Ch. 5 - A wave with =6.0cm in air is incident on a...Ch. 5 - Suppose Hs(z)=Hys(z)ay. Start with (5.14) and...Ch. 5 - Given =1.0105S/m,r=2.0,r=50., and f=10.MHz, find...Ch. 5 - In some material, the constitutive parameters are...Ch. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - A 100-MHz wave in free space propagates in the y...
Ch. 5 - In a lossless, nonmagnetic material with...Ch. 5 - Given E=120cos(6106t0.080y)azV/m and...Ch. 5 - Work through the algebra to derive the and...Ch. 5 - Prob. 5.15PCh. 5 - In a medium with properties =0.00964S/m,r=1.0, and...Ch. 5 - Make a pair of plots similar to Figure 5.4 for the...Ch. 5 - Starting with (5.13), show that = for a good...Ch. 5 - Prob. 5.19PCh. 5 - Calculate the skin depth at 1.00 GHz for (a)...Ch. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - In a nonmagnetic material,...Ch. 5 - Prob. 5.24PCh. 5 - Prob. 5.25PCh. 5 - In air, H(z,t)=12.cos(106tz+/6)axA/m. Determine...Ch. 5 - A 600-MHz uniform plane wave incident in the z...Ch. 5 - Prob. 5.28PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - Prob. 5.31PCh. 5 - Prob. 5.32PCh. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - For a general elliptical polarization represented...Ch. 5 - Prob. 5.36PCh. 5 - Prob. 5.37PCh. 5 - Suppose medium 1(z0) is air and medium 2(z0) has...Ch. 5 - Suppose a UPW in air carrying an average power...Ch. 5 - Prob. 5.40PCh. 5 - Prob. 5.41PCh. 5 - Prob. 5.42PCh. 5 - Prob. 5.43PCh. 5 - Prob. 5.44PCh. 5 - Prob. 5.45PCh. 5 - A wave specified by Ei=100.cos(107t1z)axV/m is...Ch. 5 - A wave specified by Ei=12cos(2107t1z+/4)axV/m is...Ch. 5 - Prob. 5.48PCh. 5 - Prob. 5.49PCh. 5 - A randomly polarized UPW at 200 MHz is incident at...
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- Calculate the guided intrinsic impedance at 20GHz for the lowest order mode of the rectangular waveguide wit dimensions a=0.7 in and b=0.3 in. Take relative permittivity as 2.76arrow_forwardA Click Submit to complete this assessment. Question 10 In a nonmagnetic material electric field intensity is given by E=16 cos(4*10t- 2x) ay V/m The relative permittivity of the medium will be 0.5622.2 2.25 5.062 6. A Click Submit to complete this assessment.arrow_forwardA cross-sectional view of an optical fiber is shown in the figure. The optical fiber has core and cladding refractive indices of ncore and neladding, and critical angle Oic. Which of the following conditions must be satisfied in order to have total internal reflection in the optical fiber? a ncore > Ncladding Oi > Oịc cladding (b) ncore > Ncladding O; Oịc (e) None of the abovearrow_forward
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