By Yeon Ho Lee (auth.)
This textual content presents scholars with the lacking hyperlink which can aid them grasp the elemental ideas of electromagnetics. the idea that of vector fields is brought through beginning with transparent definitions of place, distance, and base vectors. The symmetries of usual configurations are mentioned intimately, together with cylindrical, round, translational, and two-fold rotational symmetries. to prevent critical confusion among symbols with indices, the textual content adopts a brand new notation: a letter with subscript 1-2 for the paintings performed in relocating a unit cost from aspect 2 to indicate 1, during which the subscript 1-2 mimics the adaptation in potentials, whereas the hyphen implies a feeling of backward course, from 2 to at least one. this article contains three hundred figures during which genuine information are attracted to scale. Many figures offer a 3-dimensional view. each one subsection incorporates a variety of examples which are solved through analyzing rigorous methods in steps. every one subsection ends with straight forward routines and solutions by which scholars can fee in the event that they adequately understood the suggestions. a complete 350 of examples and workouts are supplied. on the finish of every part, evaluate questions are inserted to show key strategies and family mentioned within the part. they're given with tricks concerning the comparable equations and figures. The publication features a overall of 280 end-of-chapter problems.
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Extra info for Introduction to Engineering Electromagnetics
Since one coordinate system may be advantageous over the others in solving a problem, we should be able to transform the coordinates of the point from one coordinates to another. Such an operation is called a coordinate transformation. The same is true for a vector in that the magnitude and direction of a vector are independent of the coordinate system, although different definitions of base vectors lead to different expressions for the vector components in different coordinate systems. We can transform the vector components according to the procedure called the coordinate transformation of the component of a vector.
17 are referred to by Eqs. (1-41)(d)(e)(f)? Ans. Rear, left, and bottom. 15 Locate the point at which the magnitude and direction of the following vectors are most useful? (a) a vector in a vector field, (b) r, (c) R , (d) dl, and (f) ds. Ans. (a) Initial, (b) Terminal, (c) Terminal, (d) Initial, (f) Initial point of the vector. 16 What are (a) the similarity and (b) the dissimilarity between the position vector r = x ax + y ay + z az and a vector field A = x ax + y ay + z az . Ans. (a) Magnitude and direction, (b) Location.
At a point p1 , the base vectors aρ , aφ , and az are defined in such a way that they are perpendicular to the aforementioned surfaces of constant coordinate, and point in the direction of increasing coordinate. It should be noted that unit vectors aρ and aφ vary with φ, whereas az is constant in space. Fig. 19 Cylindrical coordinate system. Here we digress briefly and consider cylindrical symmetry. An object is said to have cylindrical symmetry, if it appears the same as we rotate it about the z-axis, or as we move around it varying φ while keeping ρ and z constant.
Introduction to Engineering Electromagnetics by Yeon Ho Lee (auth.)