Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 11, Problem 11.33P
Given a wave for which
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COS (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.
A uniform plane wave has electric field is given by
Es = (Eyoay – Ezoa,)e¬axe-jßx V/m
— ах
The intrinsic impedance of the medium is given as
n = Inleig
where o is a constant phase.
a) Find Hs,
b) Find E(x, t) and H (x, t) (Forward z travel components of E and H),
c) Find in W/m2
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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- A standing wave with wavelength A = 1.2 m and frequencyf = 50 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse %3D velocity is v(y,max) = 2Tt m/s. The amplitude A of each of the individual waves producing %3D the standing wave is: O 0.03 m 0.01 m 0.025 m 0.02 m 0.0125 marrow_forwardA transmitting antenna with an effective height of 100 m has a rms current of 100 A at a frequency of 300 kHz. Find the electric field strength at a distance of 10 km from the antenna.arrow_forwardHomework Helparrow_forward
- A 502 transmission line is terminated with a 502 resistor on series with a 2 * 10 7H inductor. If the frequency of the operation is 60 * 10° MHz find the reflection coefficient at the load. Select one: O a. 0 O b. 0.45e22 O c. 1 O d. 0.36e56 O e. 0.6e-37arrow_forwardA standing wave with wavelength A = 1.2 m and frequency f%= 100 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y,max) = 2Tt m/s. The amplitude A of each of the individual waves producing the standing wave is: 0.01 m 0.03 m ) 0.0125 m 0.025 m 0.02 miarrow_forwardgive a sinusoidal solution of electromagnetic wave equation nt by giving w=kc for the given equation.arrow_forward
- 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_forwarddont copy from chegg. Plese be explicit, especially on iii. Thank youarrow_forwardHomework Helparrow_forward
- A time varying Electric Field is given by F=20 cos (wt - 6 z) X (V/m):. The phasor representation of E is given by O A. Es = 20 e-16z O B. E, = 20 e-i 6 z 3 O C. None of the given answers OD.E = 20 e-j6z %3D O E. E, = 20 e*j(wt - 6z) x %3Darrow_forwardA standing wave with wavelength A = 1.2 m and frequency f = 100 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y.max) = 2rt m/s. The amplitude A of each of the individual waves producing the standing wave is: 0.03 m 0.01 m 0.025 m 0.02 m 0.0125 marrow_forwardGiven 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_forward
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