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McGrawHill Series in Electrical and Computer Engineering
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APPENDIX
A
VECTOR ANALYSIS
A.1 GENERAL CURVILINEAR COORDINATES
Let us consider a general orthogonal coordinate system in which a point is located by the intersection of three mutually perpendicular surfaces (of unspecified form or shape), u constant v con
CHAPTER
14
WAVEGUIDE AND ANTENNA FUNDAMENTALS
As a conclusion to our study of electromagnetics, we investigate the basic principles of two important classes of devices: waveguides and antennas. In broad definitions, a waveguide is a structure through whic
CHAPTER
13
TRANSMISSION LINES
Transmission lines are used to transmit electric energy and signals from one point to another, specifically from a source to a load. This may include the connection between a transmitter and an antenna, connections between co
CHAPTER
12
PLANE WAVES AT BOUNDARIES AND IN DISPERSIVE MEDIA
In Chapter 11, we considered basic electromagnetic wave principles. We learned how to mathematically represent waves as functions of frequency, medium properties, and electric field orientation.
CHAPTER
11
THE UNIFORM PLANE WAVE
In this chapter we shall apply Maxwell's equations to introduce the fundamental theory of wave motion. The uniform plane represents one of the simplest applications of Maxwell's equations, and yet it is of profound import
CHAPTER
10
TIMEVARYING FIELDS AND MAXWELL'S EQUATIONS
The basic relationships of the electrostatic and the steady magnetic field were obtained in the previous nine chapters, and we are now ready to discuss timevarying fields. The discussion will be short
CHAPTER
9
MAGNETIC FORCES, MATERIALS, AND INDUCTANCE
The magnetic field quantities H, B, , Vm , and A introduced in the last chapter were not given much physical significance. Each of these quantities is merely defined in terms of the distribution of curr
CHAPTER
8
THE STEADY MAGNETIC FIELD
At this point the concept of a field should be a familiar one. Since we first accepted the experimental law of forces existing between two point charges and defined electric field intensity as the force per unit charge
CHAPTER
7
POISSON'S AND LAPLACE'S EQUATIONS
A study of the previous chapter shows that several of the analogies used to obtain experimental field maps involved demonstrating that the analogous quantity satisfies Laplace's equation. This is true for small
CHAPTER
6
EXPERIMENTAL MAPPING METHODS
We have seen in the last few chapters that the potential is the gateway to any information we desire about the electrostatic field at a point. The path is straight, and travel on it is easy in whichever direction we
CHAPTER
5
CONDUCTORS, DIELECTRICS, AND CAPACITANCE
In this chapter we intend to apply the laws and methods of the previous chapters to some of the materials with which an engineer must work. After defining current and current density and developing the fu
CHAPTER
4
ENERGY AND POTENTIAL
In the previous two chapters we became acquainted with Coulomb's law and its use in finding the electric field about several simple distributions of charge, and also with Gauss's law and its application in determining the fi
CHAPTER
3
ELECTRIC FLUX DENSITY, GAUSS'S LAW, AND DIVERGENCE
After drawing a few of the fields described in the previous chapter and becoming familiar with the concept of the streamlines which show the direction of the force on a test charge at every poin
CHAPTER
2
COULOMB'S LAW AND ELECTRIC FIELD INTENSITY
Now that we have formulated a new language in the first chapter, we shall establish a few basic principles of electricity and attempt to describe them in terms of it. If we had used vector calculus for
CHAPTER
1
VECTOR ANALYSIS
Vector analysis is a mathematical subject which is much better taught by mathematicians than by engineers. Most junior and senior engineering students, however, have not had the time (or perhaps the inclination) to take a course
Department of Electrical and Computer Engineering
The University of Texas at Austin
EE 306, Spring 2008 Problem Set 2 Due: 18 February, before class Ramesh Yerraballi, Instructor TAs: Jasveen Kaur, Nady Obeid Instructions: This problem set should be