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 5.39P
Suppose a UPW in air carrying an average power density of
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A uniform plane electromagnetic wave incident normally on a planesurface of a dielectric material is reflected with a VSWR of 3. What is the percentage of incident power that is reflected?
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for the cable.
A wave traveling in a lossless, nonmagnetic medium has an electric field amplitude of 24.56
7-31 V/m and an average power density of 2.4W/m². Determine the phase velocity of the wave.
2-4
An electromagnetic wave in far field (plane wave) meets an aluminum device box that has no holes.
Calculate the reflection losses when the wave frequency is 100 MHz and the conductivity of aluminum is 3.77 * 107 1/2m.
Reflection losses can be estimated with following equation that gives loss in dB. This equation ignores multiple reflections.
Zw
Rloss = 20 * log
4* Zs
, where Zw is wave impedance and Z, the characteristic impedance of the box.
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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- A sinusoidal wave on a transmission line is specified by voltage and current in phasor form: Vs(z) = Voeaz ejßz and Is(z) = 1,eaz ejßzejp where Vo and I, are both real. a) In which direction does this wave propagate and why? b) Consider that a = 0, Zo 500, and the wave velocity is v, = 2.5 × 108 m/s, with w = 108 s-1. S Find the resistance (R), the admittance (G), the inductance (L), the capacitance (C), the wavelength (1) and the current phase ().arrow_forwardA plane wave propagating in air comes perpendicular to a layer from a lossless insulation with a relative dielectric value of 9. If the amplitude of the incoming wave is 1 V/m, what is the amplitude of the transmitted wave? -1/2 V/m 1/2 V/m 1/3 V/m -1/3 V/marrow_forwardA system has a forward power of 60 W, reflected power of 3 W, and transmission line loss of –3 dB. What will be the observed loss on the ground? A system has a forward power of 200 W and a reflected power of 15 W, what is the return loss?arrow_forward
- Problem [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_forward1. A 50 MHz uniform plane wave is propagating in a material with relative permeability and relative permittivity as 2.25 and 1 respectively. The material is assumed to be loss less. Find the phase constant of the wave propagation. A TU rad/m rad/m Brad/m D 2π rad/marrow_forwardProblem 6. In what situations are the group and phase velocities equal for an electromagnetic wave?arrow_forward
- 35. If an SWR (Standing Wave Ratio) of 4:1 exists on a transmission line, what is respective the percentage reflected and absorbed power by the load? B. 64, 36 C. 33.33, 66.67 D. 60, 40 A. 36, 64arrow_forwardThe standing wave on a transmission line is caused by: Select one: a. The interference between V+0V0+ and I+0I0+. b. The interference between V(z)˜V(z)~ and V−0V0−. c. The interference betweenV(z)˜V(z)~ and I+0I0+. d. The interference between V−0V0− and I−0I0−. e. The interference between V+0V0+ and I+0I0+. f. The interference between V(z)˜V(z)~ and I−0I0−. g. The interference between V(z)˜V(z)~ and V+0V0+. h. The interference between V+0V0+ and V−0V0−.arrow_forwardA uniform plane wave of frequency 1.2 MHz is travelling in free space and is normally incident upon a lossy flat soil with conductivity 0.09 S/m. Calculate the skin depth in meters with three decimalsarrow_forward
- A uniform plane wave in a lossy medium has a phase constant of 1.6 rad/m at 107 Hz and its magnitude is reduced by 60% for every 2 m traveled. Find the skin depth and speed of the wave.arrow_forwardWhat is the required bandwidth according to the Carson's rule, when a 100 MHz carrier is modulated with a sinusoidal signal at 1KHz, the maximum frequency deviation being 50 KHz.arrow_forwardCOS (2T10 Problem 4. A voltage wave of the form V+ = (2x 10-4V) cos( t-kz is incident from cable 1 with characteristic impedance 201 = 1200 onto a connection to cable 2 with characteristic impedance Z02=1002. Take the speed of the cable wave in each cable to be 2 x 10 m/s. A) Find the amplitudes of the reflected and transmitted voltages. B) Find the incident, reflected, and transmitted powers.arrow_forward
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