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Electromagnetism - Principles And Modern Applications: With Exercises And Solutions [Mīkstie vāki]

(Queen Mary Univ Of London, Uk)
  • Formāts: Paperback / softback, 292 pages
  • Sērija : Essential Textbooks in Physics
  • Izdošanas datums: 20-Apr-2023
  • Izdevniecība: World Scientific Europe Ltd
  • ISBN-10: 1800613687
  • ISBN-13: 9781800613683
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  • Mīkstie vāki
  • Cena: 48,21 €
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  • Formāts: Paperback / softback, 292 pages
  • Sērija : Essential Textbooks in Physics
  • Izdošanas datums: 20-Apr-2023
  • Izdevniecība: World Scientific Europe Ltd
  • ISBN-10: 1800613687
  • ISBN-13: 9781800613683
Citas grāmatas par šo tēmu:
Electromagnetism is one of the four fundamental forces in nature, and underlies almost everything we experience in our daily lives, whether we realise it or not. The complete theory was first written down in the late 19th century, and remains an essential part of a scientific education. The mathematics behind the theory, however, can be intimidatingly complex. Furthermore, it is not always clear to beginners why the theory is either useful or interesting, nor how it relates to modern research in theoretical physics.The aim of this book is to guide students towards a detailed understanding of the full theory of electromagnetism, including its practical applications. Later chapters introduce more modern formulations of the theory than are found in traditional undergraduate courses, thus bridging the gap between a first course in electromagnetism, and the advanced concepts needed for further study in physics. The final chapter reviews exciting current research stating that possible theories of (quantum) gravity may be much more closely related to electromagnetism than previously thought.Throughout the book, an informal conversational style is used to demystify intimidating concepts. Relevant mathematical ideas are introduced in a self-contained manner, and exercises are provided with full solutions to aid understanding. This book is essential reading for anyone undertaking a physics degree, but will also be of interest to engineers and chemists.
Preface vii
1 Why Electromagnetism?
1(4)
2 Vector Algebra
5(10)
2.1 Addition and Subtraction
5(2)
2.2 Vector Components
7(3)
2.3 The Dot Product
10(2)
2.4 The Cross Product
12(3)
3 Introducing Electricity
15(48)
3.1 Electric Charge
15(2)
3.2 Coulomb's Law
17(2)
3.3 The Electric Field
19(2)
3.4 Principle of Superposition
21(6)
3.5 Field Lines
27(3)
3.6 Electric Flux
30(5)
3.7 Gauss' Law
35(7)
3.8 Electric Potential Energy
42(4)
3.9 Electric Potential
46(4)
3.10 Conservative Fields
50(2)
3.11 Superposition of Potential
52(1)
3.12 Potential Energy of a System of Charges
53(5)
3.13 Electric Field as the Gradient of Potential
58(5)
4 A First Look at Circuits
63(22)
4.1 Capacitance
63(3)
4.2 Dielectrics
66(4)
4.3 Electric Current
70(3)
4.4 Resistivity and Resistance
73(2)
4.5 Electromotive Force and Circuits
75(7)
4.6 Energy and Power in Circuits
82(3)
5 Introducing Magnetism
85(34)
5.1 The Magnetic Field
85(2)
5.2 Magnetic Field Lines
87(1)
5.3 Magnetic Flux
88(2)
5.4 Motion in a Magnetic Field
90(2)
5.5 The Magnetic Field of a Moving Charge
92(1)
5.6 The Biot-Savart Law
93(3)
5.7 Force on a Wire
96(2)
5.8 Torque on a Current Loop
98(2)
5.9 Ampere's Law
100(7)
5.10 Electromagnetic Induction
107(3)
5.11 Inductance
110(4)
5.12 Magnetic Energy
114(5)
6 A Second Look at Circuits
119(20)
6.1 The R-C Circuit
119(4)
6.2 The R-L Circuit
123(2)
6.3 The L-C Circuit
125(3)
6.4 The L-R-C Circuit
128(3)
6.5 Alternating Current
131(4)
6.6 The AC L-R-C Circuit
135(4)
7 Maxwell's Equations
139(30)
7.1 The Displacement Current
139(3)
7.2 Maxwell's Equations
142(2)
7.3 The Divergence
144(4)
7.4 The Curl
148(5)
7.5 Maxwell Equations in Differential Form
153(3)
7.6 Electromagnetic Waves
156(6)
7.7 The Poynting Vector
162(1)
7.8 Polarisation
163(6)
8 Relativity and Maxwell's Equations
169(30)
8.1 Relativistic Kinematics
170(2)
8.2 Four Vectors
172(5)
8.3 The Dot Product for 4-Vector
177(2)
8.4 The Metric Tensor
179(2)
8.5 The Velocity 4-Vector
181(2)
8.6 Tensors and Relativistic Equations
183(2)
8.7 The 4-Potential and Field Strength
185(4)
8.8 The 4-Vector Current Density
189(2)
8.9 The Covariant Maxwell Equations
191(8)
9 Maxwell's Equations from Symmetry
199(14)
9.1 The Need for Quantum Field Theory
199(3)
9.2 Matter and the Dirac Equation
202(1)
9.3 Global Gauge Invariance
203(1)
9.4 Local Gauge Invariance
204(5)
9.5 Gauge Invariance and the Other Forces
209(4)
10 The Double Copy: From Electromagnetism to Gravity
213(58)
10.1 Scattering Amplitudes in QFT
214(5)
10.2 Gravity and General Relativity
219(4)
10.3 The Double Copy for Scattering Amplitudes
223(2)
10.4 The Double Copy for Classical Solutions
225(6)
Appendix A Line and Surface Integrals
231(12)
A.1 Line Integrals
231(5)
A.2 Surface Integrals
236(7)
Appendix B The Dirac Equation
243(6)
Appendix C Solutions to Exercises
249(22)
Index 271