Electricity, Magnetism and Optics - Duke University

1 Introductory Physics IIElectricity, Magnetism and OpticsbyRobert G. BrownDuke University Physics DepartmentDurham, NC NoticeCopyright Robert G. Brown 1993, 2007, 2013 NoticeThis physics textbook is designed to support my personal teaching activities at DukeUniversity, in particular teaching its Physics 141/142, 151/152, or 161/162 series (Introduc-tory Physics for life science majors, engineers, or potential physics majors, respectively).It is freely available in its entirety in a downloadable PDF form or to be read online at: rgb/ is also available in aninexpensive(really!) print version via Lulu press here: readers/users can voluntarily help support or rewardthe author by purchasing eitherthis paper copy or one of the even more inexpensive electronic making the book available in these various media at a cost ranging from free tocheap, I enable the text can be used by students all over the world where each student canpay (or not) according to their , I am hoping that students who truly find this work useful willpurchasea copy through Lulu or a bookseller(when the latter option becomes available), if onlyto help subsidize me while I continue to write inexpensive textbooks in physics or textbook is organized for ease of presentation and easeof learning.

2 In partic-ular, they are hierarchically organized in a way that directly supports efficient are also remarkablycompletein their presentation and contain moderately detailedderivations of many of the important equations and relations from first principles while notskimping on simpler heuristic or conceptual explanations as a live document (one I actively use and frequently change, adding or deletingmaterial or altering the presentation in some way), this textbook may have errors greatand small, stub sections where I intend to add content at some later time but haven t yetfinished it, and they cover and omit topics according tomy ownview of what is or isn timportant to cover in a one-semester course.

3 Expect them to change with little warning orannouncement as I add content or correct of the paper version should be aware of its probable imperfection and beprepared to either live with it or mark up their copy with corrections or additions as needbe. The latest (and hopefully most complete and correct) version is always available forfree online anyway, and people who have paid for a paper copy areespeciallywelcometo access and retrieve cherish good-hearted communication from students or other instructors pointing outerrors or suggesting new content (and have in the past done mybest to implement manysuch corrections or suggestions).Books by Robert G. BrownPhysics Textbooks Introductory Physics I and IIA lecture note style textbook series intended to support theteaching of introductoryphysics, with calculus, at a level suitable for Duke undergraduates.

4 Classical ElectrodynamicsA lecture note style textbook intended to support the secondsemester (primarilythe dynamical portion, little statics covered) of a two semester course of graduateClassical Books How to Engineer a Beowulf ClusterAn online classic for years, this is the print version of the famous free online book oncluster engineering. It too is being actively rewritten anddeveloped, no guarantees,but it is probably still useful in its current The Book of LilithISBN: 978-1-4303-2245-0 Web: rgb/ is thefirstperson to be given a soul by God, and is given the job of giving allthe things in the world souls by loving them, beginning with Adam. Adam is given thejob of making up rules and the definitions of sin so that humansmay one day live inan ethical society.

5 Unfortunately Adam is weak, jealous, and greedy, and insists onbeing ontopduring sex to be closer to God .Lilith, however, refuses to be second to Adam or anyone Book of Lilithisa funny, sad, satirical, uplifting tale of her spiritual journey through the ancient worldsoulgiving and judging to find at the end of that journey herself. The Fall of the Dark BrotherhoodISBN: 978-1-4303-2732-5 Web: rgb/ straight-up science fiction novel about an adventurer, SamFoster, who is forced toflee from a murder he did not commit across the multiverse. He finds himself on aprimitive planet and gradually becomes embroiled in a parallel struggle against theworld s pervasive slave culture and the cowled, inhuman agents of an immortal ofthe multiverse that support it.

6 Captured by the resurrectedclone of its wickedestagent and horribly mutilated, only a pair of legendary swords and his native wit andcharacter stand between Sam, his beautiful, mysterious partner and a bloody death!Poetry Who Shall Sing, When Man is GoneOriginal poetry, including the epic-length poem about an imagined end of the worldbrought about by a nuclear war that gives the collection its name. Includes many longand short works on love and life, pain and roaring, whipped by stormin damned defiance, hating hellwith every wave and every swell,every shark and every shelland shoreline. Hot Tea!More original poetry with a distinctly Zen cast to it. Works range from funny andsatirical to inspiring and uplifting, with a few erotic poems thrown water, carrywood.

7 Ice all around,fire is dying. Winter Zen?All of these books can be found on the online Lulu store here: Book of Lilithis available on Amazon, Barnes and Noble and other online book-seller : PreliminariesvPrefacevTextbook Layout and DesignviiGetting Ready to Learn Physics3 See, Do,Teach.. 3 Other Conditions for Learning .. 8 Your Brain and Learning .. 14 How to Do Your Homework Effectively .. 21 The Method of Three Passes .. 26 Week 0: Math Needed for Introductory E&M (and Optics ) : Coordinate Frames .. : Cartesian Coordinates .. 31 Example : Integrating a Function Along a Line in Cartesian Coordinates 33 Example : Integrating a Function over an Area in Cartesian Coordinates 33 Example : Integrating a Function over a Volume in Cartesian Coordinates : Cylindrical Coordinates.

8 35 Example : Finding the Area of a Soup Can Label .. 38 Example : Volume of a Cylinder .. 39 Example : Finding the Volume of a Right Circular Cone .. 39 Example : Evaluating a Volume Charge Density .. : Spherical Polar Coordinates .. 40 Example : Finding the Area of a Sphere .. 43 Example : Integrating a Function ofcos Over a Spherical Surface .. 44 Example : Integrating the Volume of a Sphere .. 45iiiCONTENTSE xample : Integrating a Radial Distribution over a Sphere .. 45 Example : Evaluating the Moment of Inertia of a Uniform Sphere .. 45 Summary47II: Electrostatics51 Week 1: Discrete Charge and the Electrostatic Field51 Summary .. : Charge .. : Charge Quantization and Elementary Particles.

9 : Coarse-Graining and Charge Density .. : Insulators, Conductors, Semiconductors .. : Coulomb s Law .. : Electrostatic Field .. : Superposition Principle .. 70 Example : Finding the Field of Two Point Charges An Electric Dipole : Electric Dipoles .. : Force and Torque Acting on a Dipole .. : Electric Field of a Dipole .. 78 Homework for Week 1 .. 81 Week 2: Continuous Charge and Gauss s : The Field of Continuous Charge Distributions .. 93 Example : Circular Loop of Charge .. 95 Example : Long Straight Line of Charge .. 97 Example : Circular Disk of Charge .. : Gauss s Law for the Electrostatic Field .. : Using Gauss s Law to Evaluate the Electric Field.

10 110 Example : Spherical: A spherical shell of charge .. 111 Example : Advanced: Spherical Shell of Charge .. 113 Example : Electric Field of a Solid Sphere of Charge .. 117 Example : Cylindrical: A cylindrical shell of charge .. 120 Example : Planar: A sheet of charge .. : Gauss s Law and Conductors .. : Properties of Conductors .. 124 Example : Field and Charge Distribution of a Blob of Conductor .. 128 Example : Two Thick Plates Plus Wires (Capacitor) .. 129 Creating Charged Objects .. 130 Homework for Week 2 .. 134 Week 3: Potential Energy and : Electrostatic Potential Energy .. : Potential .. : Superposition .. : Deriving or Computing the Potential .. : Examples of Computing the Potential.