Electromagnetism : with solved problems / / Hiqmet Kamberaj

• Record Nr.: UNISA996472060703316
• Autore: Kamberaj Hiqmet
• Pubbl/distr/stampa: Cham, Switzerland : , : Springer, , [2022]; ©2022
• ISBN: 9783030967802; 9783030967796
• Descrizione fisica: 1 online resource (400 pages)
• Collana: Undergraduate Texts in Physics
• Disciplina: 537.6
• Soggetti: Electromagnetism; Electromagnetism - Mathematics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Intro -- Preface -- Contents -- 1 Electrostatics in Free Space -- 1.1 Electrical Charges -- 1.2 Coulomb's Law -- 1.3 Coulomb's Law for a System of Charges -- 1.4 Electric Field -- 1.4.1 Force Fields -- 1.4.2 Superposition Principle -- 1.5 Electric Field Lines -- 1.6 Motion in Uniform Electric Field -- 1.7 Exercises -- Reference -- 2 Gauss's Law -- 2.1 Electric Flux -- 2.1.1 Uniform Electric Field -- 2.1.2 General Electric Field Flux -- 2.2 Gauss's Law -- 2.2.1 Gauss's Law for a System of Charges -- 2.3 Applications of Gauss's Law to Insulators -- 2.4 Conductors in Electrostatic Equilibrium -- 2.4.1 Property 1 -- 2.4.2 Property 2 -- 2.4.3 Property 3 -- 2.4.4 Property 4 -- 2.5 Exercises -- Reference -- 3 Electrostatic Potential -- 3.1 Electrostatic Potential Energy -- 3.2 Electric Potential -- 3.3 Potential Difference in a Uniform Electric Field -- 3.4 Equipotential Surface -- 3.5 Electric Potential of a Point Charge -- 3.6 Electric Potential of a System of Point Charges -- 3.7 Electric Potential of a Continuous Charge Distribution -- 3.8 Differential form of Electric Potential -- 3.9 Multipole Expansion -- 3.10 Electric Potential of a Charged Conductor -- 3.10.1 Cavity Within a Conductor -- 3.11 Exercises -- References -- 4 Capacitance and Dielectrics -- 4.1 Capacitance -- 4.2 Calculating Capacitance -- 4.2.1 Spherical Conductors -- 4.2.2 Parallel-Plate Capacitors -- 4.3 Combination of Capacitors -- 4.3.1 Parallel Combination -- 4.3.2 ; Series Combination -- 4.4 Energy Storage in the Electric Field -- 4.5 Electrostatics of Macroscopic Media and Dielectrics -- 4.5.1 Dielectrics -- 4.5.2 Comparison Between Dielectric Materials and Conductors -- 4.5.3 Molecular Theory of Dielectrics -- 4.5.4 Energy Stored in Capacitor -- 4.6 Electric Polarization -- 4.7 Set of Maxwell Equations for Electrostatic Field.; 4.7.1 Maxwell Equations for Free Space Electrostatic Field -- 4.7.2 Maxwell Equations for Dielectric Media Electrostatic Field -- 4.8 Potential Energy of Electrostatic Field -- 4.9 Exercises -- References -- 5 Electric Current -- 5.1 Electric Current -- 5.1.1 Direction of Electric Current -- 5.1.2 Charge Carrier -- 5.2 Microscopic Model of Current -- 5.3 Resistance and Ohm's Law -- 5.3.1 Ohm's Law -- 5.3.2 Classical Model for Electrical Conduction -- 5.3.3 Resistance and Temperature -- 5.4 Superconductors -- 5.5 Electric Energy and Power -- 5.6 Electromotive Force -- 5.7 Exercises -- Reference -- 6 Magnetic Field -- 6.1 Magnetic Field -- 6.2 Magnetic Force Acting on a Current-Carrying Conductor -- 6.3 Torque on a Current Loop in a Uniform Magnetic Field -- 6.4 Motion of a Charged Particle in a Uniform Magnetic Field -- 6.5 Exercises -- Reference -- 7 Sources of Magnetic Field -- 7.1 Biot-Savart Law -- 7.2 Magnetic Force Between Two Parallel Conductors -- 7.3 Ampére's Law -- 7.4 Magnetic Flux -- 7.5 Gauss's Law in Magnetism -- 7.6 Displacement Current -- 7.7 Exercises -- References -- 8 Magnetism in Matter -- 8.1 Magnetic Moments of Atoms -- 8.2 Magnetization Vector and Magnetic Field Strength -- 8.3 Classification of Magnetic Substances -- 8.3.1 Ferromagnetism -- 8.3.2 Paramagnetism -- 8.3.3 Diamagnetism -- 8.4 The Magnetic Field of the Earth -- 8.5 Faraday's Law of Induction -- 8.6 Rowland Ring Apparatus -- 8.7 Maxwell's Equations of Magnetism -- 8.8 Vector Potential -- 8.9 Multipole Expansion -- 8.10 Energy of the Magnetic Field -- 8.11 Exercises -- References -- 9 Maxwell's Equations of Electromagnetism -- 9.1 Maxwell's Equations of Electromagnetism -- 9.2 Vector and Scalar Potentials of Electromagnetic Field -- 9.3 Electromagnetic Field Energy and Conservation Law -- 9.4 Conservation Law of Momentum.; 9.5 Dynamics of Charged Particles in Electromagnetic Fields -- 9.6 Macroscopic Maxwell Equations -- 9.7 Exercises -- References -- 10 More About Faraday's Law of Induction -- 10.1 Moving Conductor in a Closed Circuit -- 10.1.1 Induced Electric Potential and Electric Field -- 10.1.2 Generators and Motors -- 10.2 Inductance -- 10.2.1 Self-inductance -- 10.2.2 Mutual Inductance -- 10.3 Oscillations in an LC Circuit -- 10.4 The RL Circuit -- 10.5 The RLC Circuit -- 10.5.1 Case 1 -- 10.5.2 Case 2 -- 10.5.3 Case 3 -- 10.6 Alternating Current Circuits -- 10.6.1 AC Sources and Phases -- 10.6.2 Resistors in an AC Circuit -- 10.6.3 Inductors in an AC Circuit -- 10.6.4 Capacitors in an AC Circuit -- 10.6.5 The RLC Series in an AC Circuit -- 10.7 Power in the AC Circuit -- 10.8 Resonance in the RLC Series Circuit -- 10.9 Exercises -- Reference -- 11 Some Applications of Electromagnetic Theory -- 11.1 Electrostatic Properties of Macromolecular Solutions -- 11.1.1 The pH and Equilibrium Constant -- 11.1.2 Charge on DNA and Proteins -- 11.1.3 Charge States of Amino Acids -- 11.1.4 Salt Binding -- 11.1.5 Energy Cost of Assembling a Collection of Charges -- 11.1.6 The Poisson-Boltzmann Equation -- 11.1.7 Calculation of pKa of Amino Acids in Macromolecules -- 11.2 Wireless Charging -- 11.2.1 Tightly Coupled Wireless Power Systems -- 11.2.2 Loosely Coupled Highly Resonant Systems -- 11.3 Exercises -- References -- 12 Electromagnetic Waves in Vacuum and Linear Medium -- 12.1 Electromagnetic Wave Equations in Vacuum -- 12.2 Relationships Between k, E, B -- 12.3 Electromagnetic Waves Equations in Linear ; Medium -- 12.4 Energy and Momentum of Electromagnetic Waves -- 12.5 Coherence of Electromagnetic Waves -- 12.6 Polarization of Electromagnetic Waves -- 12.6.1 Linear Polarization -- 12.6.2 Circular and Elliptical Polarization.; 12.7 Reflection and Refraction of Electromagnetic Waves -- 12.7.1 Laws of Reflection and Refraction -- 12.8 Fresnel Equations -- 12.8.1 Boundary Conditions -- 12.8.2 Perpendicular Polarization -- 12.8.3 Parallel Polarization -- 12.8.4 External and Internal Reflection -- 12.8.5 Normal Incidence of Electromagnetic Waves -- 12.8.6 Reflectance and Transmittance -- 12.9 Exercises -- References -- 13 Electromagnetic Waves in Dispersive Media -- 13.1 Dispersion and Absorption -- 13.1.1 Lorentz's Model of Oscillations in Dielectrics -- 13.2 Dispersion -- 13.2.1 Wave Packets and Group Velocity -- 13.2.2 Normal and Anomalous Dispersion -- 13.3 Refractive Index of a Conductor -- 13.4 Wave Propagation in a Dilute Plasma -- 13.4.1 Electromagnetic Waves in a Dilute Plasma -- 13.4.2 Phase and Group Velocity in a Dilute Plasma -- 13.4.3 Plasma and Dielectric at High Frequency -- 13.5 Exercises -- References -- Appendix Vectorial Analysis -- A.1 Vector Calculus -- A.2 Vector Differential Operators -- A.3 Stokes' Formula -- A.4 Gauss's Formula -- A.5 Some Useful Formula -- A.6 Laplacian -- A.7 Curvilinear Coordinates.