Fundamentals Of Applied Electromagnetics
7th Edition
ISBN: 9781292082448
Author: Fawwaz T Ulaby Umberto Ravaioli
Publisher: Pearson Education Dorling Kindersley
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Textbook Question
Chapter 8, Problem 30P
Natural light is randomly polarized, which means that, on average, half the light energy is polarized along any given direction (in the plane orthogonal to the direction of propagation) and the other half of the energy is polarized along the direction orthogonal to the first polarization direction. Hence, when treating natural light incident upon a planar boundary, we can consider half of its energy to be in the form of parallel-polarized waves and the other half as perpendicularly polarized waves. Determine the fraction of the incident power reflected by the planar surface of a piece of glass with n = 1.5 when illuminated by natural light at 70°.
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At a frequency of 3 GHz and y-polarized, a plane wave travels in a magnetic medium with a dielectric constant of 2.5 and a loss tangent of 0.05 in the + x direction.a) Determine the distance at which the amplitude of the propagating wave will be halved.b) Find the impedance, wavelength and phase velocity of the wave in the medium.c) Assume E = ay50Sin (6pi (10 ^ 9) t + pi / 3) (V / m) at x = 0 and write the instantaneous expression of H for each t and x.
Chapter 8 Solutions
Fundamentals Of Applied Electromagnetics
Ch. 8.1 - Prob. 1CQCh. 8.1 - In the radar radome design of Example 8-1, all the...Ch. 8.1 - Explain on the basis of boundary conditions why it...Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Obtain expressions for the average power densities...Ch. 8.2 - In the visible part of the electromagnetic...Ch. 8.2 - If the light source of Exercise 8-4 is situated at...Ch. 8.3 - If the index of refraction of the cladding...Ch. 8.4 - Prob. 4CQ
Ch. 8.4 - What is the difference between the boundary...Ch. 8.4 - Why is the Brewster angle also called the...Ch. 8.4 - At the boundary, the vector sum of the tangential...Ch. 8.4 - A wave in air is incident upon a soil surface at i...Ch. 8.4 - Determine the Brewster angle for the boundary of...Ch. 8.4 - Prob. 9ECh. 8.8 - What are the primary limitations of coaxial cables...Ch. 8.8 - Can a TE mode have a zero magnetic field along the...Ch. 8.8 - What is the rationale for choosing a solution for...Ch. 8.8 - What is an evanescent wave?Ch. 8.8 - For TE waves, the dominant mode is TE10, but for...Ch. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.10 - Why is it acceptable for up to exceed the speed of...Ch. 8.10 - Prob. 13ECh. 8.10 - Prob. 14ECh. 8 - A plane wave in air with an electric field...Ch. 8 - A plane wave traveling in medium 1 with r1 = 2.25...Ch. 8 - A plane wave traveling in a medium with r1 = 9 is...Ch. 8 - A 200 MHz, left-hand circularly polarized plane...Ch. 8 - Prob. 5PCh. 8 - A 50 MHz plane wave with electric field amplitude...Ch. 8 - What is the maximum amplitude of the total...Ch. 8 - Repeat Problem 8.6, but replace the dielectric...Ch. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Repeat Problem 8.10, but interchange r1 and r3.Ch. 8 - Orange light of wavelength 0.61 m in air enters a...Ch. 8 - A plane wave of unknown frequency is normally...Ch. 8 - Consider a thin film of soap in air under...Ch. 8 - A 5 MHz plane wave with electric field amplitude...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - A plane wave in air with E=y20ej(3x+4z) (V/m) is...Ch. 8 - Prob. 28PCh. 8 - A plane wave in air with Ei=(x9y4z6)ej(2x+3z)(V/m)...Ch. 8 - Natural light is randomly polarized, which means...Ch. 8 - A parallel-polarized plane wave is incident from...Ch. 8 - A perpendicularly polarized wave in air is...Ch. 8 - Show that the reflection coefficient can be...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - A 50 MHz right-hand circularly polarized plane...Ch. 8 - Consider a flat 5 mm thick slab of glass with r =...Ch. 8 - Derive Eq. (8.89b).Ch. 8 - Prob. 39PCh. 8 - A TE wave propagating in a dielectric-filled...Ch. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47P
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- A linearly polarised EM wave is propagating in the x-direction in free space. Its frequency is 2 x 1014 Hz, its amplitude is 5 V/m and the plane of polarisation is oriented at 60o with respect to the y-direction. Write down a numeric expression for the electric field vector of this EM wave including its dependence on position and time.arrow_forwardA y-polarized smooth plane wave at a frequency of 3 GHz is propagating in the + x direction in a magnetic medium with a dielectric constant of 2.5 and a loss tangent of 0.05,a) Determine the distance at which the amplitude of the propagating wave will be halved.b) Find the impedance, wavelength and phase velocity of the wave in the medium.c) Assume E = ay 50sin (6π 10 9 t + π / 3) (V / m) at x = 0 and write your instantaneous expression of H for each t and x. (please show all steps one by one)arrow_forwardPlease answer both. 1. The electric field associated with a uniform plane wave propagating in the +z-direction in a nonmagnetic (u = uo.) material medium is given by Ē = Eo.e-2z cos(6(3)1/2 pi x 107 – 3z)x^ (V/m), a. Find the conductivity (sigma) of the medium. b. Find the permittivity ε of the medium. 2. For the circuit shown below: Determine R, if V(t = 3.8 us, l = 50m) = 62 (V). For the plane wave in free space, the electric field is defined as follows Ē = Eo. cos(6pi x 108t + 2pix)z^ Compute velocity and wavelength of the wave.arrow_forward
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