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