1. Electricity and Magnetism (I) 電磁學 (I)

2. WeekDateContentRemark 19/16-17 Chapter 1 The Electromagnetic Model Chapter 2 Vector Analysis 29/23-24 Unit Test 1 (Chapter 1 、 Chapter 2) 3-1 Introduction 3-4 Gauss’s Law and Applications 15% 39/30-10/1 3-5 Electric Potential 3-9 B.C. for Electrostatic Fields 410/7-8 3-10 Capacitance and Capacitors 3-11 Electrostatic Energy and Forces 510/14-15 Unit Test 2 (Chapter 3) 4-1 Introduction 4-3 Uniqueness of Electrostatic Solutions 15% 610/21-22 CSSSW9 (No Class) 710/28-29 4-4 Method of Images 4-7 BVP in Different Coordinates 811/4-5 Unit Test 3 (Chapter 4) 5-1 Introduction 5-3 Electromotive Force & Kirchhoff’s Volt. Law 15% 911/11-12 5-4 Equation of Continuity & Kirchhoff’s Curr. Law 5-7 Resistance Calculations 1011/18-19 Unit Test 4 (Chapter 5) 6-1 Introduction 6-4 The Biot-Savart Law and Applications 15% 1111/25-26 6-5 The Magnetic Dipole 6-9 Behavior of Magnetic Materials 1212/2-3 6-10 Boundary Conditions for M Fields 6-13 Magnetic Forces and Torques 1312/9-10 Unit Test 5 (Chapter 6) 7-1 Introduction 7-2 Faraday’s Law of E-M Induction 15% 1412/16-17 7-3 Maxwell’s Equations 7-5 E-M Boundary Condition 1512/23-24 7-6 Wave Equations and Their Solutions 7-7 Time-Harmonic Fields 1612/30-31 171/6-7 Final Exam (Chapter 1 ~ Chapter 7) 25% 181/13-14 No Class Electricity and Magnetism I 電磁學Ⅰ 電磁學Ⅰ Professor: J.Y. Liu 劉正彥 E-mail: jyliu@jupiter.ss.ncu.edu.tw TEL: 03-4227151 ext. 65736jyliu@jupiter.ss.ncu.edu.tw Textbook: Field and Wave Electromagnetics, 2 nd Ed. 1989, David K. Cheng Class Hour: Thursday 08:00~09:00 & Friday 10:00~12:00 Classroom: S4-209 Office Hour: Teaching Assistant: 陳世平 976203025@cc.ncu.edu.tw. 林其彥 986403005@cc.ncu.edu.tw. 孫楊軼 986403008@cc.ncu.edu.tw # attendance/quiz: 15% 100% = 15% + 15% × 5 × (4/5) + 25%

3. 1 The Electromagnetic Model 1-1 Introduction 1-2 The Electromagnetic Model 1-3 SI Units and Universal Constants

4. 1-1 Introduction Electromangtics: the study of the effects of electric charges at rest and in motion. A field is a spatial distribution of a quantity; action at a distance. Wave: period/frequency, amplitude, phase; energy. Time varying electric and magnetic fields are coupled, resulting in an electromagnetic field. Time-dependent electromagnetic fields produce waves.

5. 1-2 The Electromagnetic Model Two approaches in development of a science subject: the inductive ( 歸納 ) approach and the deductive ( 演繹 ) approach. Idealized model <> Real world Three essential steps in building a theory on an idealized model: define quantities, specify operations, and postulate fundamental relations.

6. Electric charge

7. Conservation of electric charge The principle of conservation of electric charge must be satisfied at all times and under any circumstances. The equation of continuity.

8. Charge density Current

9. Fundamental EM Field quantities

10. 1-3 SI Units and Universal Constants SI unit: International System Unit

11. The universal constant Velocity of EM wave in free space Permittivity 電容率、介電常數 of free space Permeability 磁導率、磁導係數 of free space

14. 2 Vector Analysis

15. 2-1 Introduction 2-2 Vector Addition and Subtraction 2-3 Product of Vectors 2-4 Orthogonal Coordinate Systems 2-5 Integrals Containing Vector Functions 2-6 Gradient of a Scalar Field 2-7 Divergence of a Vector Field 2-8 Divergence Theory 2-9 Curl of a Vector Field 2-10 Stokes’s Theory 2-11 Two Null Identity 2-12 Helmholtz’s Theory

16. The law of cosines (length)

17. Vector product (area)

18. Scalar triple product (volume)

19. Vector triple product (Back-cab rule)

20. 2-4 Orthogonal Coordinate System

21. 2-6 Gradient of a Scalar Field

22. 2-7 Divergence of a Vector Field

23. 2-8 Divergence Theory Flow Source

24. 2-9 Curl of Vector Field

26. 2-10 Stokes's Theory

27. 2-11 Two Null Identities

29. 2-12 Helmholtz’s Theory