Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 11, Problem 11.28P
To determine
(a)
The wave polarization for the uniform plane.
To determine
(b)
The value of
To determine
(c)
The average power density for the wave.
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2
Problem 2. The general wave equation for the electric field E:
a²Ē 1
aj
= -
Using the same approach, derive an equivalent equation for the magnetic field intensity vector H.
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 11 Solutions
Engineering Electromagnetics
Ch. 11 - Show that Ex8 = Aej(k0z+) is a solution of the...Ch. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Small antennas have low efficiencies (as will be...Ch. 11 - Consider two x-polarized waves that...Ch. 11 - A uniform plane wave has electric field E8 =...Ch. 11 - Prob. 11.7PCh. 11 - An electric field in free space is given in...Ch. 11 - An example of a nonuniform plane wave is a surface...Ch. 11 - Prob. 11.10P
Ch. 11 - A uniform plane wave at frequency f= 100 MHz...Ch. 11 - Repeat Problem 11.11, except the wave now...Ch. 11 - Let jk = 0.2 + jl.5 m -1 and y = 450 +J60 for a...Ch. 11 - Describe how the attenuation coefficient of a...Ch. 11 - A 10-GHz radar signal may be represented as a...Ch. 11 - Consider the power dissipation term. E.jdv, in...Ch. 11 - Prob. 11.17PCh. 11 - Given, a 100-MHz uniform plane wave in a medium...Ch. 11 - Prob. 11.19PCh. 11 - Prob. 11.20PCh. 11 - Prob. 11.21PCh. 11 - Prob. 11.22PCh. 11 - Prob. 11.23PCh. 11 - (a) Most microwave ovens operate at 2.45 GHz....Ch. 11 - Let jk = 0.2 + jl.5 m-1 and y\ = 450 +j60 Q for a...Ch. 11 - Prob. 11.26PCh. 11 - Prob. 11.27PCh. 11 - Prob. 11.28PCh. 11 - Consider a left circularly polarized wave in free...Ch. 11 - Prob. 11.30PCh. 11 - Prob. 11.31PCh. 11 - Prob. 11.32PCh. 11 - Given a wave for which Es=10ejxax+18ejxejayV/m. in...Ch. 11 - Given, a general elliptically polarized wave as...
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- 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_forward2. A free electron can be modeled as a plane wave, (t) = e²(ka-wt). Using the de Broglie relations for k and w, calculate the phase velocity of this wave, vph = w/k for an electron with kinetic energy K = 2.2 MeV. Can any information be transmitted at this speed?arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the negative z direction has an amplitude of 45mA/m and a frequency of 10° Hz. If the wave is polarized on the positive x direction and the phase velocity of the wave is 10°m/s. Assume the initial phase is 30°. Find the wave number. Select one: O a. The wave number is: 67 O b. The wave number is: 2T O c. The wave number is: 2.5 O d. The wave number is: 7.6arrow_forward
- A uniform plane wave has a wavelength of 2 cm in free space and 1 cm in a perfect dielectric. What is tbe relative permittivity of the of the dielectric ?arrow_forwardAn EM wave travels in free space with electric field component E, 100 e0.866y+0.52) a, V/m Find w and Aarrow_forwardi need the answer quicklyarrow_forward
- Electromagnetic wave theory The perfect conductor wire with a resistance of 500 ohm is brought into a square form as given in Figure 1. B = z0.3 cos (120πt- 30o ) T. Determine the current flowing through the conductor wire sincearrow_forwardThe wave equation for the x component of the electric field Ex of the plane wave away from the infinite sheet of current is: az? Using the same starting equations, derive a similar wave equation for the y component of the magnetic field intensity vector Hy of the same plane wave.arrow_forwardHomework : Derive an expression for the the wave equation in terms of H and E, when the wave is travelling in the z-axis direction?arrow_forward
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What Is a Plane Wave? — Lesson 2; Author: EMViso;https://www.youtube.com/watch?v=ES2WFevGM0g;License: Standard Youtube License