Electromagnetism: With Solved Problems

ISBN-13: 9783030967796 / Angielski / Miękka / 2022 / 395 str.

Hiqmet Kamberaj

Spis treści

1. Electrostatics in Free Space

    2. Gauss’s Law

    3. Electrostatic Potential

    4. Capacitance and Dielectrics

        4.5     Electrostatics of Macroscopic Media

    5. Electric Current

        5.3     Resistance and Ohm’s Law         

    6. Magnetic Fields

    7. Sources of Magnetic Field

    8. Magnetism in Matter     

        8.4     The Magnetic Field of the Earth

        8.6     Rowland Ring Apparatus

    9. Maxwell Equations of Electromagnetism

        9.1     Maxwell’s Equations of EM

        9.2     Vector and Scalar Potential of EM Field

        9.3     EM Field Energy & Conservation Law

        9.4     Conservation Law of Momentum

        9.5     Charged Particles in EM Fields

        9.6     Macroscopic Maxwell Equations

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

 Power in the AC Circuit

  10.8 Resonance in the RLC Series Circuit

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 Superconductivity

 

12. Electromagnetic Waves

12.1 Electromagnetic Waves in Vacuum

12.2 Electromagnetic Waves in Medium

12.3 Transmission Lines

12.4 Coherence of Electromagnetic Waves

12.5 Polarization of Electromagnetic Waves

12.6 Reflection of Electromagnetic Waves

13. Molecular Optics

13.1 Dispersion of Electromagnetic Waves in Gases

13.2 Dispersion of Electromagnetic Waves in Solids

13.3 Conduction Models

13.4 Refraction Index of a Conductor

13.5 Wave Propagation in Dilute Plasmas

A.  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 Laplasian

            A.7 Curvilinear Coordinates

References

O autorze

Hiqmet Kamberaj is a Full Professor at International Balkan University. He has published more than 60 articles and book chapters in reputed journals. In April 2020, he published the book "Molecular Dynamics Simulations in Statistical Physics: Theory and Applications" through Springer, and in September 2021, the textbook "Classical Mechanics" through De Gruyter. His articles focus on understanding the structure, dynamics, and thermodynamics of macromolecular systems using the laws of physics and biochemistry and applied mathematics. In addition, his research includes applications of machine learning approaches. His teaching interests include information theory, electromagnetic theory, general physics, algorithms, discrete mathematics, and computer programming, theoretical physics, statistical physics, electrodynamics, and medical physics.

Blurb

Any curriculum involving science and/or engineering will eventually find itself entering the realm of physics. This book seeks to introduce students to a number of the fundamental concepts in physics and illustrate how different theories were developed out of physical observations and phenomena. The book presents multi-chapter sections on electrostatics, magnetism and electromagnetic waves, with eyes on both the past and the future, touching, along the way, on Coulomb, Gauss, Maxwell, Ohm, Biot-Savart, Ampere, Faraday, Fresnel and Lorentz. The book also contains an appendix that provides the reader with a portion of the mathematical background of vector analysis and vector differential operators. The book approaches its topics through a focus on examples and problem-solving techniques, illustrating vividly how physical theories are applied to problems in engineering and science. The book is primarily aimed at undergraduate students in these two fields, but it also features chapters that are geared towards senior undergraduates working on their final year theses.