Embed Size (px)
Citation preview
Electricity and Magnetism (I)電磁學 (I)
Week Date Content Remark
1 9/16-17Chapter 1 The Electromagnetic ModelChapter 2 Vector Analysis
2 9/23-24Unit Test 1 (Chapter 1 、 Chapter 2)3-1 Introduction3-4 Gauss’s Law and Applications
15%
3 9/30-10/13-5 Electric Potential3-9 B.C. for Electrostatic Fields
4 10/7-83-10 Capacitance and Capacitors3-11 Electrostatic Energy and Forces
5 10/14-15Unit Test 2 (Chapter 3)4-1 Introduction4-3 Uniqueness of Electrostatic Solutions
15%
6 10/21-22 CSSSW9 (No Class)
7 10/28-294-4 Method of Images4-7 BVP in Different Coordinates
8 11/4-5Unit Test 3 (Chapter 4) 5-1 Introduction5-3 Electromotive Force & Kirchhoff’s Volt. Law
15%
9 11/11-125-4 Equation of Continuity & Kirchhoff’s Curr. Law5-7 Resistance Calculations
10 11/18-19Unit Test 4 (Chapter 5)6-1 Introduction6-4 The Biot-Savart Law and Applications
15%
11 11/25-266-5 The Magnetic Dipole6-9 Behavior of Magnetic Materials
12 12/2-36-10 Boundary Conditions for M Fields6-13 Magnetic Forces and Torques
13 12/9-10Unit Test 5 (Chapter 6)7-1 Introduction7-2 Faraday’s Law of E-M Induction
15%
14 12/16-177-3 Maxwell’s Equations7-5 E-M Boundary Condition
15 12/23-247-6 Wave Equations and Their Solutions7-7 Time-Harmonic Fields
16 12/30-3117 1/6-7 Final Exam (Chapter 1 ~ Chapter 7) 25%18 1/13-14 No Class
Electricity and Magnetism I 電磁學Ⅰ
Professor: J.Y. Liu 劉正彥 E-mail: [email protected] TEL: 03-4227151 ext. 65736Textbook: Field and Wave Electromagnetics, 2nd Ed. 1989, David K. ChengClass Hour: Thursday 08:00~09:00 & Friday 10:00~12:00Classroom: S4-209Office Hour: Teaching Assistant: 陳世平 [email protected] . 林其彥 [email protected] . 孫楊軼 [email protected]# attendance/quiz: 15%100% = 15% + 15% × 5 × (4/5) + 25%
1 The Electromagnetic Model
• 1-1 Introduction• 1-2 The Electromagnetic Model• 1-3 SI Units and Universal Constants
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.
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.
Electric charge
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.
•
Charge density
Current
Fundamental EM Field quantities
1-3 SI Units and Universal Constants
SI unit: International System Unit
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
2 Vector Analysis
2 Vector Analysis• 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
The law of cosines (length)
Vector product (area)
Scalar triple product (volume)
Vector triple product (Back-cab rule)
2-4 Orthogonal Coordinate System
2-6 Gradient of a Scalar Field
2-7 Divergence of a Vector Field
2-8 Divergence Theory
Flow Source
2-9 Curl of Vector Field
2-10 Stokes's Theory
2-11 Two Null Identities
2-12 Helmholtz’s Theory
