By Matthew Sadiku

Designed for a standard sophomore- and junior-level path in electromagnetics, components of Electromagnetics, 3/e, keeps the very popular pedagogical culture proven by means of its profitable earlier variations. It bargains scholars the main lucid and engaging presentation to be had of basic strategies and functions in electromagnetics. Revised and up-to-date, this 3rd version provides a brand new bankruptcy on smooth subject matters overlaying microwaves, electromagnetic interference and compatibility, fiber optics, and extra. A recommendations handbook accompanies the textual content. positive factors · starts off with vector research and applies it progressively during the textual content, warding off the common interruptions that ensue whilst mathematical historical past is interspersed sporadically all through a textual content · accommodates many useful pedagogical beneficial properties together with bankruptcy introductions and summaries, boxed formulation, multiple-choice overview questions, and punctiliously worked-out examples by means of perform routines · Treats mathematical theorems individually from actual techniques, making it more uncomplicated for college students to know the theorems · Devotes a complete bankruptcy to trendy desktop instruments utilized in electromagnetics · Motivates pupil studying with greater than a hundred illustrative examples and over six hundred figures · offers a balanced presentation of time-varying fields and static fields, getting ready scholars for employment in state-of-the-art commercial and production sectors

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CHARLES P. 1 INTRODUCTION Chapter 1 is mainly on vector addition, subtraction, and multiplication in Cartesian coordinates, and Chapter 2 extends all these to other coordinate systems. This chapter deals with vector calculus—integration and differentiation of vectors. The concepts introduced in this chapter provide a convenient language for expressing certain fundamental ideas in electromagnetics or mathematics in general. A student may feel uneasy about these concepts at first—not seeing "what good" they are.

New York: McGraw-Hill, 1968, pp. 124-130. 3 29 CIRCULAR CYLINDRICAL COORDINATES (R, F, Z) finding dot or cross product of two vectors in a cylindrical system is the same as that used in the Cartesian system in Chapter 1. Sometimes, it is necessary to transform points and vectors from one coordinate system to another. The techniques for doing this will be presented and illustrated with examples. 1. 1. 3 CIRCULAR CYLINDRICAL COORDINATES (p, cj>, z) The circular cylindrical coordinate system is very convenient whenever we are dealing with problems having cylindrical symmetry.

1. The three common coordinate systems we shall use throughout the text are the Cartesian (or rectangular), the circular cylindrical, and the spherical. 2. A point P is represented as P(x, y, z), P(p, , z), and P(r, 6, 4>) in the Cartesian, cylindrical, and spherical systems respectively. A vector field A is represented as (Ax, Ay, Az) or A^nx + Ayay + Azaz in the Cartesian system, as (Ap, A$, Az) or Apap + A^a^ + Azaz in the cylindrical system, and as (An Ae, A^) or A^ar + Aeae + A^a^ in the spherical system.

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