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 5.11P
In a lossless, nonmagnetic material with
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c) If the inductance of a transmission line is 1.119 µH/m and the capacitance is
12.3 pF/m
i.
find the time required for the wave to travel 1 m of length down the
line.
ii.
What is the velocity of the wave travelling down the line?
What is the percentage of speed of light in this?
iii.
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
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
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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- 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 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 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_forwardThe magnetic field intensity in free space is H=25cos(βz+20000t)ay A/m. Find a) The phase constat b) the wavelength c) The velocity of propagation d) The corresponding E fieldarrow_forward
- 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_forwardMagnetic field intensity of a propagating wave in free space is given by H =0.3 cos(4*108t+ 2y) ax V/m the plot of H versus y at time, t = T/4 None of these AH F0.3 Y 0.3- A H Yarrow_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 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_forwardMagnetic field intensity of a propagating wave in free space is given by H=0.3 cos(4*10°t+ 2y) ax V/m the plot of H versus y at time, t = T/4 None of these 4H F0.3 4H 0.3-arrow_forwardMagnetic field intensity of a propagating wave in free space is given by H=0.3 cos(4*10°t- 2y) ax V/m the plot of H versus y at time, t = T/8 A H F0.3arrow_forward
- 8. A nonmagnetic medium has an intrinsic impedance 240e³/6. Find its complex permittivity.arrow_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_forwardThe following equation describes a wave propagating in lossless medium: y(x, t) = 5.ex0.005 cos(20 * 10°t + 20x + 30°) %3D Select one: O a. False. Because the equation contains a = 0.005. O b. False. Because the equation a phase shift 30°. O c. True. Because a is negative -0.005 O d. True. Because the wave is not polarized.arrow_forward
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