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E-raamat: Electrodynamics: The Field-Free Approach: Electrostatics, Magnetism, Induction, Relativity and Field Theory

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Electrodynamics: The Field-Free Approach: Electrostatics, Magnetism, Induction, Relativity and Field TheorySuurem pilt
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This book is intended as an undergraduate textbook in electrodynamics at basic or advanced level. The objective is to attain a general understanding of the electrodynamic theory and its basic experiments and phenomena in order to form a foundation for further studies in the engineering sciences as well as in modern quantum physics.

The outline of the book is obtained from the following principles:

         Base the theory on the concept of force and mutual interaction

         Connect the theory to experiments and observations accessible to the student

         Treat the electric, magnetic and inductive phenomena cohesively with respect to force, energy, dipoles and material

         Present electrodynamics using the same principles as in the preceding mechanics course

         Aim at explaining that theory of relativity is based on the magnetic effect

         Introduce field theory after the basic phenomena have been explored in terms of force

Although electrodynamics is described in this book from its 1st principles, prior knowledge of about one semester of university studies in mathematics and physics is required, including vector algebra, integral and differential calculus as well as a course in mechanics, treating Newtons laws and the energy principle.

The target groups are physics and engineering students, as well as professionals in the field, such as high school teachers and employees in the telecom industry. Chemistry and computer science students may also benefit from the book.
1 Basic Principles 1(4)
1.1 Exercises
2(1)
Further Readings
3(2)
2 Electrodynamic Force 5(28)
2.1 Electric Charges at Rest-Electric Force
5(2)
2.2 Uniform Motion-Magnetic Force
7(14)
2.2.1 Electric Current
7(1)
2.2.2 Measurement of Parallel Motion
8(1)
2.2.3 Measurement of Perpendicular Motion
9(2)
2.2.4 Magnetic Force for General Uniform Motion
11(4)
2.2.5 Evaluation of the Magnetic Force Formulas
15(2)
2.3 Accelerated Motion-Inductive Force
17(4)
2.4 Summary
21(1)
2.5 Exercises
22(9)
Further Readings
31(2)
3 Electrodynamic Energy 33(14)
3.1 Electric Energy
34(1)
3.2 The Voltage Source
35(1)
3.3 Magnetic Energy
36(4)
3.3.1 Magnetic Force from Magnetic Energy
39(1)
3.4 General Inductance-Interaction Between Two Current Elements
40(1)
3.5 Faraday-Henry's Induction Law
41(1)
3.6 Electrodynamic Force-Updated
42(1)
3.7 Summary
42(1)
3.8 Exercises
43(3)
Further Reading
46(1)
4 Macroscopic Systems of Unbound Charges 47(32)
4.1 Electric Dynamics
48(11)
4.1.1 Electrically Charged Wire and Point Charge
48(1)
4.1.2 Force Between Two Electrically Charged Wires
49(1)
4.1.3 Force Between a Point Charge and an Electrically Charged Plate
50(2)
4.1.4 Electric Force Between a Point Charge and a Charged Sphere
52(2)
4.1.5 Capacitor and Capacitance
54(2)
4.1.6 Electric Energy Stored in a Capacitor
56(1)
4.1.7 Electric Force Between Two Charged Plates
57(2)
4.2 Magnetic Dynamics
59(13)
4.2.1 Magnetic Force Between a Point Charge and a Long Straight Current
59(1)
4.2.2 Magnetic Force Between Point Charge and Large Current-Carrying Plate
60(1)
4.2.3 Magnetic Force Between a Straight Conductor and a Large Plate
61(1)
4.2.4 Magnetic Force and Energy Between Two Parallel Current-Carrying Plates
62(1)
4.2.5 Inductance
63(8)
4.2.6 Induction in a Moving Rod Interacting with Current-Carrying Plate
71(1)
4.3 Summary
72(2)
4.4 Exercises
74(3)
Further Readings
77(2)
5 Conductors and Resistive Effects 79(14)
5.1 The Metal as a Conductor
80(1)
5.2 Relaxation Time
80(2)
5.3 Resistance
82(1)
5.4 Heat Power
83(1)
5.5 The Principle of Charge Conservation
84(1)
5.6 Summary
85(1)
5.7 Exercises
85(6)
Further Reading
91(2)
6 Electric Circuits 93(12)
6.1 Measurement of Capacitance Using an RC Circuit
93(1)
6.2 Measurement of Inductance Using an RL Circuit
94(1)
6.3 The Oscillation Circuit
95(5)
6.3.1 The RLC Circuit with Constant Input Voltage
95(2)
6.3.2 Forced Oscillation Circuit
97(2)
6.3.3 Impedance
99(1)
6.4 Summary
100(1)
6.5 Exercises
101(2)
Further Readings
103(2)
7 Electric and Magnetic Dipoles 105(24)
7.1 Electric Dipole
105(6)
7.1.1 Interaction Between Dipole and Point Charge
107(1)
7.1.2 Dipole-Dipole Interaction
108(1)
7.1.3 Interaction Between a Charged Plate and a Dipole
109(1)
7.1.4 Generalized Electric Dipole Moment
110(1)
7.2 Magnetic Dipole
111(7)
7.2.1 Interaction Between a Magnetic Dipole and a Large Current-Carrying Plate
113(2)
7.2.2 Induced Voltage in a Rotating Loop Interacting with a Current-Carrying Plate
115(1)
7.2.3 Generalized Magnetic Dipole Moment-Interaction Between Rotating Cylinders
116(2)
7.3 Summary
118(1)
7.4 Exercises
119(9)
Further Readings
128(1)
8 Material Properties 129(44)
8.1 Electric Response Forces
129(13)
8.1.1 Electric Force Between a Charged Capacitor and a Material
131(3)
8.1.2 The Dielectric Constant-Not a Constant
134(1)
8.1.3 Bound Charges
135(3)
8.1.4 Three Examples of Polarisation
138(4)
8.2 Magnetic Response Forces
142(15)
8.2.1 Magnetization Currents
144(3)
8.2.2 Magnetization from a Magnetic Influence
147(10)
8.3 General Multipole Interactions
157(1)
8.4 Measurement of Electric and Magnetic Material Properties
157(4)
8.4.1 Measurements on Solids
158(1)
8.4.2 Measurements on Liquids
158(3)
8.5 Summary
161(2)
8.6 Exercises
163(9)
Further Readings
172(1)
9 Motional Consequences 173(22)
9.1 Modelling the Electrodynamic Interaction
174(1)
9.2 Magnetism as a Motional Consequence
174(2)
9.3 Induction as a Motional Consequence
176(1)
9.4 Special Theory of Relativity
177(6)
9.4.1 Relative Motion
177(2)
9.4.2 Time Dilation
179(1)
9.4.3 Relativistic Momentum
180(1)
9.4.4 Relativistic Energy
181(2)
9.5 Summary
183(1)
9.6 Exercises
184(9)
Further Readings
193(2)
10 Field Theory 195(24)
10.1 The Concept of a Field
195(1)
10.2 The Electric and the Magnetic Fields
196(1)
10.3 Dipoles
197(1)
10.4 Material Effects
198(2)
10.5 Boundary Conditions
200(7)
10.5.1 General Vector Field
200(3)
10.5.2 Divergence and Curl for Static Electric and Magnetic Fields
203(3)
10.5.3 Boundary Conditions for Static Electric and Magnetic Fields
206(1)
10.6 Maxwell's Equations
207(3)
10.6.1 Accelerating Charges-The Time Variation of the Magnetic Field
207(2)
10.6.2 The Continuity Equation-Time Variation of Electric Field
209(1)
10.7 Potentials
210(1)
10.8 Power Transportation-The Poynting Vector
210(2)
10.9 Summary
212(2)
10.10 Exercises
214(3)
Further Readings
217(2)
11 Antenna Theory-The Loop and the Dipole 219(20)
11.1 The Loop Antenna
220(2)
11.2 The Dipole Antenna
222(6)
11.2.1 The Oscillating Electric Dipole
223(4)
11.2.2 The Inductive Force
227(1)
11.2.3 Total Force
227(1)
11.3 Antenna Array
228(1)
11.4 Power Transmission
229(3)
11.4.1 The Dipole Antenna
230(1)
11.4.2 The Loop Antenna
231(1)
11.5 The Wave Concept
232(1)
11.6 Summary
232(1)
11.7 Exercises
233(5)
Further Readings
238(1)
Appendix A: Electric Multipoles 239(8)
Appendix B: Magnetic Multipoles 247(6)
Appendix C: Magnetic Energy in the Presence of a Material 253(2)
Appendix D: Solutions to Exercises 255(98)
Appendix E: General Magnetic Force Formula 353(4)
Index 357
Kjell Prytz is a Senior Lecturer and Associate Professor of Physics, Högskolan Gävle (Gävle University College) since 1996. He has a background as a particle physicist and has worked at CERN, DESY and Celsius. His research focused on the smallest parts, called quarks, and their interactions. Dr Prytz has been teaching on all possible levels, from the base year to the master level, in practically all fields of physics. In addition to pure physics courses, he has also been responsible for courses in electronics such as microwave and antenna theory.
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