Power Point CD for Elements of Electromagnetics Fourth

Power. Point CD for Elements of Electromagnetics Fourth Edition Sadiku © 2007 Oxford University Press. 1

Oxford University Press, Inc. , publishes works that further Oxford University’s objective of excellence in research, scholarship, and education. Oxford New York Auckland Cape Town Dar es Salaam Hong Kong Karachi Kuala Lumpur Madrid Melbourne Mexico City Nairobi New Delhi Shanghai Taipei Toronto With offices in Argentina Austria Brazil Chile Czech Republic France Greece Guatemala Hungary Italy Japan Poland Portugal Singapore South Korea Switzerland Thailand Turkey Ukraine Vietnam Copyright 2007 by Oxford University Press, Inc. Published by Oxford University Press, Inc. 198 Madison Avenue, New York 10016 http: //www. oup. com Oxford is a registered trademark of Oxford University Press All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of Oxford University Press. ISBN-13 978 -0 -19 -531521 -9 ISBN 0 -19 -531521 -9 Printing number: 9 8 7 6 5 4 3 2 1 Printed in the United States of America on acid-free paper Elements of Electromagnetics Fourth Edition Sadiku 2

Elements of Electromagnetics Fourth Edition Sadiku 3

Vector Algebra Elements of Electromagnetics Fourth Edition Sadiku 4

Figure 1. 1 (a) Unit vectors ax, ay, and az, (b) components of A along ax, ay, and az. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 5

Figure 1. 2 Vector addition C = A + B: (a) parallelogram rule, (b) head-to-tail rule. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 6

Figure 1. 3 Vector subtraction D = A - B: (a) parallelogram rule, (b) head-to-tail rule. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 7

Figure 1. 4 Illustration of position vector r. P = 3 ax + 4 ay + 5 az. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 8

Figure 1. 5 Distance vector r. PQ. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 9

Figure 1. 6 For Example 1. 3. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 10

Figure 1. 7 The cross product of A and B is a vector with magnitude equal to the area of the parallelogram and direction, as indicated. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 11

Figure 1. 8 Direction of A ´ B and an using (a) the right-hand rule and (b) the right-handed-screw rule. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 12

Figure 1. 9 Cross product using cyclic permutation (a) Moving clockwise leads to positive results. (b) Moving counterclockwise leads to negative results. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 13

Figure 1. 10 Components of A along B: (a) scalar component AB, (b) vector component AB. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 14

Figure 1. 11 For Example 1. 6. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 15

Figure 1. 12 For Example 1. 7. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 16

Figure 1. 13 For Review Question 1. 3. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 17

Figure 1. 14 For Problem 1. 20. Elements of Electromagnetics Fourth Edition Sadiku Copyright © 2007 Oxford University Press 18