# Chapter 1 - Electrodynamics(I(PHYS 531 Department of...

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1 . Textbook and Contents of the Course : J. D. Jackson, “Classical Electrodynamics”, 3rd edition, Chapters 1-7. Other books will be referenced in the lecture notes when needed. 2. Conduct of Class : Lecture notes will be projected sequentially on the screen during the class. Physical concepts will be emphasized, while algebraic details in the lecture notes will often be skipped. Questions are encouraged . It is assumed that students have at least gone through the algebra in the lecture notes before attending classes ( important !). 3. Grading Policy: Midterm (~47%); Final (~47); Attendance (~4%); Homework (~2%). The overall score will be normalized to reflect an average consistent with other courses.
4. Lecture Notes: Starting from basic equations, the lecture notes follow Jackson closely with algebraic details filled in. Equations numbered in the format of (1.1), (1.2)… refer to Jackson. Supplementary equations derived in lecture notes, which will later be referenced, are numbered (1), (2). .. [restarting from (1) in each chapter.] Equations in Appendices A, B…of each chapter are numbered (A.1), (A.2)…and (B.1), (B.2)… Page numbers cited in the text (e.g. p. 120) refer to Jackson. Section numbers (e.g. Sec. 1.1) refer to Jackson. Main topics within each section are highlighted by boldfaced characters. Some words are typed in italicized characters for attention. Technical terms which are introduced for the first time are underlined .

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1 1 0 Coulomb's law, discovered experimentally, is a fundamental law governing all electrostatic phenomena. It states that the force on point charge due to point charge obeys (see figure) 4 qq qq πε = F 2 1 2 1 1 1 1. , , and . 2. is along . (central force) is attractive if and have opposite signs. 3. is repulsive if and have the same sign. Furthermore, if there are mu r r Fq q Fr r q q e ltiple charges present, the total force on is the vector sum of the two-body Coulomb forces between and each of its surrounding charges. What is the principle of linear superposition? : Question 1 q r q r e 1.1 Coulomb’s Law Chapter 1: Introduction to Electrostatics
0 The electric field at point due to one or more charges is defined as ( ) lim (1.1) where is a test charge and , q q q F x E x F 2 00 1 11 3 1 44 || is the total Coulomb force on . We let be infinistesimal so that it will not alter the field configuration. Thus, ( ) due to a single point charge is ( ) r qq r q q q πε == 1 1 xx Ex e 0 3 1 3 () ( ) 1 4 For distributed charges, we have by linear superposition: ( ) (1.5) Why write " " as " "? : r v d x Q r uestion ρ ′′ − ′ = x ex x r e x 1 x r 1 q 0 1.2 Electric Field 1 1 22 2 1 1 =( ) ( ) ( ) ( ) ( ) ( ) rx y z r x xy yz z x y y z z −=− +− + =− = + + x e e e v S x x 0

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Consider a point charge and a closed surface and adopt the following notations: : unit vector infinitesimal surface area on : unit vector normal to
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Chapter 1 - Electrodynamics(I(PHYS 531 Department of...

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