Solutions for Engineering Electromagnetics
Problem 11.1P:
Show that Ex8 = Aej(k0z+) is a solution of the vector Helmholtz equation, Eq. (30), for k0...Problem 11.4P:
Small antennas have low efficiencies (as will be seen in Chapter 14), and the efficiency increases...Problem 11.5P:
Consider two x-polarized waves that counter-propagate along the z axis. The wave traveling in the...Problem 11.6P:
A uniform plane wave has electric field E8 = (Ey0ay - Eza3)e -axe -jBx V/m. The intrinsic impedance...Problem 11.8P:
An electric field in free space is given in spherical coordinates as Es(r) = E0(r)e-Jkra^V/m. (a)...Problem 11.9P:
An example of a nonuniform plane wave is a surface or evanescent wave, an example of which, in...Problem 11.11P:
A uniform plane wave at frequency f= 100 MHz propagates in a material having conductivity c = 3.0...Problem 11.12P:
Repeat Problem 11.11, except the wave now propagates in fresh water, having conductivity a = 10-3...Problem 11.13P:
Let jk = 0.2 + jl.5 m -1 and y = 450 +J60 for a uniform plane propagating in the 2z direction. If...Problem 11.14P:
Describe how the attenuation coefficient of a liquid medium, assumed to be a good conductor could be...Problem 11.15P:
A 10-GHz radar signal may be represented as a uniform plane wave in a sufficiently small region....Problem 11.16P:
Consider the power dissipation term. E.jdv, in Paintings theorem [Eq. (70)]. This gives the power...Problem 11.18P:
Given, a 100-MHz uniform plane wave in a medium known to be a good dialectic, the pleaser electric...Problem 11.24P:
(a) Most microwave ovens operate at 2.45 GHz. Assume that σ= 1.2 Ă— 106 S/m and Let E1 = 50<0 for...Problem 11.25P:
Let jk = 0.2 + jl.5 m-1 and y\ = 450 +j60 Q for a uniform plane propagating in the 2z direction. If...Problem 11.29P:
Consider a left circularly polarized wave in free space that propagates in the forward z direction....Browse All Chapters of This Textbook
Chapter 1 - Vector AnalysisChapter 2 - Coulomb’s Law And Electric Field IntensityChapter 3 - Electric Flux Density, Gauss’s Law, And DivergenceChapter 4 - Energy And PotentialChapter 5 - Conductors And DielectricsChapter 6 - CapacitanceChapter 7 - The Steady Magnetic FieldChapter 8 - Magnetic Forces, Materials, And InductanceChapter 9 - Time-varying Fields And Maxwell’s EquationsChapter 10 - Transmission Lines
Sample Solutions for this Textbook
We offer sample solutions for Engineering Electromagnetics homework problems. See examples below:
Chapter 1, Problem 1.1PGiven: The value of E is E=(Ar)sinθaθ. The value of H is H=(Br)sinθaϕ The expression for S is...Concept used: Write the expression for the x -component of the rectangular system in term of...Chapter 1, Problem 1.23PChapter 2, Problem 2.1PChapter 2, Problem 2.7PChapter 2, Problem 2.17PChapter 2, Problem 2.26PGiven: The central charge Q1 is located at the origin and a radius of the hemisphere is a while...
Chapter 3, Problem 3.15PChapter 3, Problem 3.20PChapter 3, Problem 3.30PChapter 4, Problem 4.1PGiven: V(ρ)=a2ρ0e−ρaε0 Concept used: E=−∇V Calculation: Formula for electric field is formula shown...Chapter 4, Problem 4.24PGiven Information: The current density is, J=−104[sin(2x)e−2yax+cos(2x)e−2yay] kA/m2. Calculation:...Chapter 5, Problem 5.20PChapter 5, Problem 5.22PCalculation: The ratio of outer radius b to inner radius a in terms of the ratio of plate separation...Chapter 6, Problem 6.31PCalculation: The Poisson's equation is defined for z<b boundary condition (where b is the radius...Calculation: The general solution of Laplace's equation is written as, V=C1ϕ+C2 ...... (1) Here, ϕ...Calculation: The Poisson's equation (generalization of Laplace equation) is defined for r<c...Chapter 7, Problem 7.1PGiven: The given configuration is I = 1A Range is −h<z<h. Calculation: The figure for the loop...Given: The radius of the hollow cylindrical shell is 'a' which is centered on the z -axis and it...Given: Total current carried by cylindrical shell is I=50A Shell is defined by 1 cm < ρ <1.4...Chapter 7, Problem 7.38PChapter 8, Problem 8.1PGiven Information: Square loop is given as,. . The torque is about the origin A(0,0,0) in the field...Chapter 8, Problem 8.27PGiven Information: The toroid is having square cross section, 2.5 cm<ρ<3.5 cm , −0.5...Given Information: The given circuit is shown below: B=0⋅2cos120πtT Calculation: flux(ϕ)=π(0⋅15)2β...Given: B=B0cos(ωt)cos(k0z) ay Wb/m2 Medium for magnetic flux density is free space. Concept used:...Given Information: Breadth, b = 4 cm Diameter, d = 8 mm Magnetic field, H=5cos(109t−βz)ay A/m...Chapter 10, Problem 10.1PChapter 10, Problem 10.5PChapter 10, Problem 10.14PChapter 10, Problem 10.15PChapter 10, Problem 10.20PChapter 11, Problem 11.1PChapter 11, Problem 11.6PChapter 11, Problem 11.11PChapter 11, Problem 11.12PGiven: A uniform plane wave in air Ex1+=Ex10+cos(1010t−βz) V/m incident normally on copper surface...Given: Ex1+=10cos( ωt−15z) V/m And β=15 The plane z=0 defines the boundary which is there in between...Given: Two regions with region 1 : z<0 and region 2 : z>0 are perfect dielectrics. Radian...Given: Refractive index of glass n=1.45 Glass thickness =λ2 Concept Used: Calculate reflection...Chapter 13, Problem 13.1PChapter 13, Problem 13.7PChapter 13, Problem 13.22PChapter 14, Problem 14.1PGiven: The following parameters are given: λ=2π m, d=0.1 m and (x=0, y=1000, z=0). Concept Used:...Given: The following information is given: r=100, θ=900,ϕ=300. The radiation field Eθs is given by,...
More Editions of This Book
Corresponding editions of this textbook are also available below:
Engineering Electromagnetics
6th Edition
ISBN: 9780071202299
Engineering Electromagnetics
6th Edition
ISBN: 9780072303216
Engineering Electromagnetics
6th Edition
ISBN: 9780071181624
Engineering Electromagnetics
5th Edition
ISBN: 9780070274075
Engineering Electromagnetics - 8th Edition
8th Edition
ISBN: 9780073380667
Loose Leaf For Engineering Electromagnetics
9th Edition
ISBN: 9781260472370
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