Fundamentals of Engineering Electromagnetics by David K. Cheng

By David K. Cheng

Primary of Engineering Electromagnetics not just offers the basics of electromagnetism in a concise and logical demeanour, but in addition incorporates a number of fascinating and significant purposes. whereas tailored from his well known and extra wide paintings, box and Wave Electromagnetics, this article contains a variety of leading edge pedagogical good points. each one bankruptcy starts off with an summary which serves to supply qualitative assistance to the subject material and inspire the scholar. overview questions and labored examples all through each one bankruptcy make stronger the student's figuring out of the cloth. feedback bins following the assessment questions and margin notes during the e-book function extra pedagogical aids.

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X B A (a) A X B = a,, /\B sin 048 . \ (hl The right -lwnJ rule . 2-3 19 VECTOR M UL TIPLI CA TION quantity AB sin 8 AB• which is nonnegative (positive or 0), i numerically equal to the area of the parallelogram. Thus the cro s protluct A x B results in anothe r vector, whose direction an is obtained by the right-hand rule in rotating from A to B. and whose magnitude is equal to the area of the pa rallelogram found by A and B. Using the definition in Eq. (2-12) and following the right-hand rule, we find that Vector product is not commutative .

Given two vectors A and B. the cross product. denoted by A x B ("A cross B'·J. 1s a nother vector defined by (2-12) Def inition of vecto r or cross product of t wo vecto r s where(;) AB is the smaller angle between the vector A and B ( ~ n:), and an i · a unit vec tor normal (perpendicular) to the plane containing A and B. The d irecti on of a,. follows that of the thumb of a riyht hand when the fingers ro tate from A to B through the angle 0 18 (the right-hand rule). Thi is illu stra ted in F ig.

3 Which of the following expres. ions do not make sense? (al A x B/ IBI. (b) C · D / (A x B). (c) AB/ CD, (d) A x B/(C · D ), (e) ABC. (f) A x B x C. 2-4 values of the following scalar triple prod ucts (b) A ·(C x B ), (c) (A x B)· C. and (d) B· (aA x A ). o f vecto rs: OR T HOGON AL COORD I NAT E SYS TE M S We have indicated before that alt hough the laws o f electromagnetism are invariant with coordinate sys tem, so lution of practical problems requires that t he relation derived from t hese law.

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