Electromagnetism
Description
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.
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Person
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.
Content
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 Matter8.4 The Magnetic Field of the Earth
8.6 Rowland Ring Apparatus9. 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 Induction10.1 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 Inductance10.3 Oscillations in an LC Circuit
10.4 The RL Circuit10.5 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 Circuit10.6.5 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 Binding11.1.5 Energy Cost of Assembling a Collection of Charges
11.1.6 The Poisson-Boltzmann Equation11.1.7 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 Waves12.6 Reflection of Electromagnetic Waves
13. Molecular Optics
13.1 Dispersion of Electromagnetic Waves in Gases
13.2 Dispersion of Electromagnetic Waves in Solids13.3 Conduction Models
13.4 Refraction Index of a Conductor13.5 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