Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 5, Problem 5.43P
To determine
The electric field for reflected and transmitted waves, and average power density for transmitted wave.
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Students have asked these similar questions
1)Find the skin depth of an electromagnetic wave which is incident from air to a conductor
and the frequency of the wave was 50 Hz with a permeability of 4.55*10-2.The conductivity in
the conductor is given as 2.22.
Select one:
a.0
b. 0.15
c. 0.35
d. 0.25
The plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the impedance value of the wave?
238 Ohm
377 Ohm
120 Ohm
150 Ohm
The 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.
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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Similar questions
- Given 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_forwardA rectangular copper block is 30 cm in height (along z). In response to a wave incident upon the block from above, a current is induced in the block in the positive x direction. Determine the ratio of the ac resistance of the block to its dc resistance at 1 kHz. The relevant properties of copper are er = 1, ur = 1, and a = 5.8x107 S/m. CHIWAarrow_forwardQ1/The complex magnetic field of a uniform plane wave is given by. 108 Hm (ax-jaz)ely 120m b) Find the polarization of the wave b) State the direction of rotation. Justify your answer.arrow_forward
- In a nonmagnetic medium E = 4 sin (27 × 10’r – 0.8x) a. V/m Find (a) ɛ, n (b) The time-average power carried by the wave (c) The total power crossing 100 cm² of plane 2x + y = 5arrow_forwardElectromagnetics Given the field D = 3zp cos(phi) az. Determine DivD at P( p= 2.2, (phi)= 1.7 rad, z = 4) 4 decimals placesarrow_forwardQ2/Wave Propagation in Dielectrics: Assume the wave equation can be written as --k* Egs, where k is the complex propagation constant and jk = a + jß. The electric field can be written as E (x, t) = Exoe-i"cos(wt - B2). Assume that we have a complex permittivity e= e-je" From the given information, derive mathematical expressions for a.ß,and n as functions of a, u and Also explain the role of a and B given that a 20arrow_forward
- We consider an electromagnetic wave traveling in a good conductor (skin effect). 1. Prove that a=B 2. Determine the expression of a 3. Prove that after a distance of 1/a the wave loses 85% of its power (or its power density). Ho=4r.107 H/m and so=8.854.1012 F/marrow_forwardThe 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 1082π1082πHz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase is 0.arrow_forwardThe 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 wavenumber. Assume the initial phase is 0. Select one: O a. rad/m 12.6 O b. 2 m/sec 12.6 O c. 108 rad/m O d. 108 rad/secarrow_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 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_forwardAn electromagnetic wave is defined as: Ẽ = ŷ E。e+jkx − 2 Ee+jkx 1. Find what the polarization of this wave is. Explain correctly. 2. This wave is now going through a plate that is slowing the ŷ E-field with a phase shift of -π/2. (The plate is doing nothing else) Find the new polarization.arrow_forwardProblem [9] The magnetic field of a plane wave traveling in air is given by E = x50cos(2710't – kz). Determine the average power density carried by the wave.arrow_forward
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