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(BQ) Part 0 is vector mathematics, which serves as a reference, and is explained repeatedly anyways throughout the book Part 1 is Electrostatics! And part 2 is Magneto-statics! Both of these obey nearly same equations, and have the same solutions, and affect materials similarly (in a linear fashion). | INSTRUCTOR S SOLUTIONS MANUAL INTRODUCTION to ELECTRODYNAMICS Third Edition David J. Griffiths TABLE OF CONTENTS Chapter 1 Vector Analysis 1 Chapter 2 Electrostatics 22 Chapter 3 Special Techniques 42 Chapter 4 Electrostatic Fields in Matter 73 Chapter 5 Magnetostatics 89 Chapter 6 Magnetostatic Fields in Matter 113 Chapter 7 Electrodynamics 125 Chapter 8 Conservation Laws 146 Chapter 9 Electromagnetic Waves 157 Chapter 10 Potentials and Fields 179 Chapter 11 Radiation 195 Chapter 12 Electrodynamics and Relativity 219 Chapter 1 Vector Analysis Problem 1.1 11 C sin B sin 0Ĩ A B cos0i C cos02 a From the diagram B C COSỚ3 B COS01 C cos02- Multiply by IA . A B C cos 03 A B COS01 A C cos 02-So A B C A B A C. Dot product is distributive. Similarly B C sin03 B sin01 C sin02- Mulitply by A n. IA B C sin03 n IA B sin01 n A C sin02 n. If n is the unit vector pointing out of the page it follows that Ax B C AxB AxC . Cross product is distributive. b For the general case see G. E. Hay s Vector and Tensor Analysis Chapter 1 Section 7 dot product and Section 8 cross product . Problem 1.2 - The triple cross-product is not in general associative. For example suppose A B and c is perpendicular to A as in the diagram. Then BxC points out-of-the-page and Ax BxC points down and has magnitude ABC. But AxB 0 so AxB xC 0 Ax BxC . . A B BxC tAx BxC Problem 1.3 A lx ly-lz A i 3 B lx ly lz B 1 3. A B 1 1-1 1 AB cos d 1 31 3COS0 C0SỚ . 0 cos-1 1 70.5288 X Problem 1.4 The cross-product of any two vectors in the plane will give a vector perpendicular to the plane. For example we might pick the base A and the left side B A -lx 2y 0z B -lx 0y 3z.
