001450115 000__ 05949cam\a2200577\i\4500 001450115 001__ 1450115 001450115 003__ OCoLC 001450115 005__ 20230310004509.0 001450115 006__ m\\\\\o\\d\\\\\\\\ 001450115 007__ cr\cn\nnnunnun 001450115 008__ 221009s2022\\\\sz\a\\\\ob\\\\001\0\eng\d 001450115 019__ $$a1347025632 001450115 020__ $$a9783031050992$$q(electronic bk.) 001450115 020__ $$a3031050991$$q(electronic bk.) 001450115 020__ $$z9783031050985 001450115 020__ $$z3031050983 001450115 0247_ $$a10.1007/978-3-031-05099-2$$2doi 001450115 035__ $$aSP(OCoLC)1347020811 001450115 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCF$$dOCLCQ 001450115 049__ $$aISEA 001450115 050_4 $$aQC631 001450115 08204 $$a537.6$$223/eng/20221013 001450115 1001_ $$aLacava, Francesco,$$eauthor. 001450115 24510 $$aClassical electrodynamics :$$bfrom image charges to the photon mass and magnetic monopoles /$$cFrancesco Lacava. 001450115 250__ $$aSecond edition. 001450115 264_1 $$aCham :$$bSpringer,$$c[2022] 001450115 264_4 $$c©2022 001450115 300__ $$a1 online resource (xviii, 374 pages) :$$billustrations (some color). 001450115 336__ $$atext$$btxt$$2rdacontent 001450115 337__ $$acomputer$$bc$$2rdamedia 001450115 338__ $$aonline resource$$bcr$$2rdacarrier 001450115 4901_ $$aUndergraduate lecture notes in physics 001450115 504__ $$aIncludes bibliographical references and index. 001450115 5050_ $$aIntro -- Preface to the Second Edition -- Preface to the First Edition -- Contents -- 1 Classical Electrodynamics: A Short Review -- 1.1 Coulomb's Law and the First Maxwell Equation -- 1.2 Charge Conservation and Continuity Equation -- 1.3 Absence of Magnetic Charges in Nature and the Second Maxwell Equation -- 1.4 Laplace's Laws, Biot and Savart Law and the Steady Fourth Maxwell Equation -- 1.5 Faraday's Law and the Third Maxwell Equation -- 1.6 Displacement Current and the Fourth Maxwell Equation -- 1.7 Maxwell Equations in Vacuum -- 1.8 Maxwell Equations in Matter 001450115 5058_ $$a1.9 Electrodynamic Potentials and Gauge Transformations -- 1.10 Electromagnetic Waves -- References -- 2 Multipole Expansion of the Electrostatic Potential -- 2.1 The Potential of the Electric Dipole -- 2.2 Interaction of the Dipole with an Electric Field -- 2.3 Multipole Expansion for the Potential of a Distribution of Point Charges -- 2.4 Properties of the Electric Dipole Moment -- 2.5 The Quadrupole Tensor -- 2.6 A Bidimensional Quadrupole -- Problems -- Solutions -- References -- 3 The Method of Image Charges -- 3.1 The Method of Image Charges -- 3.2 Point Charge and Conductive Plane 001450115 5058_ $$a3.3 Point Charge and Conducting Sphere -- 3.3.1 Force on a Point Charge Near a Charged Conducting Sphere -- 3.4 Conducting Sphere in a Uniform Electric Field -- 3.5 A Charged Wire Near a Cylindrical Conductor -- Problems -- Solutions -- References -- 4 Image Charges in Dielectrics -- 4.1 Electrostatics in Dielectric Media -- 4.2 Point Charge Near the Plane Separating Two Dielectric Media -- 4.3 Dielectric Sphere in an External Uniform Electric Field -- Problems -- Solutions -- References -- 5 Series of Image Charges -- 5.1 Point Charge Between Two Grounded Plates 001450115 5058_ $$a5.2 Two Separated Charged Conductive Spheres -- 5.3 Force Between Two Charged Spherical Conductors -- 5.4 A Charged Conductive Sphere and a Conductive Plate at Ground -- 5.5 Dielectric Sphere and Point Charge -- Problems -- Solutions -- References -- 6 Functions of Complex Variables and Electrostatics -- 6.1 Analytic Functions of Complex Variable -- 6.2 Electrostatics and Analytic Functions -- 6.3 The Function f left parenthesis z right parenthesis equals z Superscript muf(z)=zµ -- 6.3.1 The Quadrupole: f left parenthesis z right parenthesis equals z squaredf(z)=z2 001450115 5058_ $$a6.3.2 The Conductive Wedge at Fixed Potential -- 6.3.3 Edge of a Thin Plate -- 6.4 The Charged Wire: f left parenthesis z right parenthesis equals log zf(z)= logz -- Problems -- Solutions -- References -- 7 Conformal Mapping in Electrostatics -- 7.1 Conformal Mapping -- 7.2 Conformal Mapping and Harmonic Functions -- 7.3 Conformal Mapping and Bilinear Electrostatic Problems -- 7.3.1 Charged Wire Between Two Grounded Plates -- 7.4 The Linear-Fractional Function -- 7.4.1 The Split Cylinder: Two Opposite Half Cylinders at Different Potentials -- 7.5 The Schwarz-Christoffel Transformation 001450115 506__ $$aAccess limited to authorized users. 001450115 520__ $$aThis book presents an overview of Classical Electrodynamics. Its second edition includes new chapters that pick up where the material from the first edition left off. The image method introduced in the first edition is expanded to series of images, using simple examples like a point charge or a charged wire between two grounded plates, as well as more relevant examples such as two charged conducting spheres and the force between them. The topic of complex functions is broadened with the introduction of conformal mapping. One new chapter introduces the method of separation of variables, including in Cartesian coordinates (box with sides at fixed voltages), in spherical coordinates (dielectric and conducting sphere, potential of a charged ring), in cylindrical coordinates (conducting wedge, cylinder in uniform field). It also presents the potentials and the fields for a point charge in motion, radiation by a point charge and by a dipole, radiation reaction. Two other chapters present updated lessons on the mass of the photon and search for monopoles. Examples and/or solvable problems are provided throughout. 001450115 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 13, 2022). 001450115 650_0 $$aElectrodynamics. 001450115 655_0 $$aElectronic books. 001450115 77608 $$iPrint version: $$z3031050983$$z9783031050985$$w(OCoLC)1309870740 001450115 830_0 $$aUndergraduate lecture notes in physics. 001450115 852__ $$bebk 001450115 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-05099-2$$zOnline Access$$91397441.1 001450115 909CO $$ooai:library.usi.edu:1450115$$pGLOBAL_SET 001450115 980__ $$aBIB 001450115 980__ $$aEBOOK 001450115 982__ $$aEbook 001450115 983__ $$aOnline 001450115 994__ $$a92$$bISE