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10820黃承彬教授電磁學章節編輯全

 

10802  電磁學章節編輯全

 

第一講 電磁學介紹與傳輸線

EL1_A

          General information: Course syllabus

                    Course description

                    Textbook

                   Reference

                   Class notes

                   Teaching Method

                   Course comment

                   Grading

                   Ethics policy

EL1_B

          Lesson 1: Introduce to electromagnetism

                   What is electromagnetism

                   Basic quantites

                   Constitutive parameter of materials

EL1_C

Lesson 1: Introduce to electromagnetism

                    Analysis of EM problems

                    Background knowledge

 

EL1_D

          Lesson 1: Introduce to electromagnetism

                    Background knowledge (1)

                    Background knowledge –Phasor

 

第二講 電磁學介紹與傳輸線

EL2_A

          Lesson 1: Introduce to electromagnetism

                    Background knowledge (2)

          Lesson 2: Transmission Lines 1

                   Content

                   What is a transmission line ?

                   When to view wires as transmission lines

 

EL2_B

          Lesson 2: Transmission Lines 1

                   Lumped element model of T-Line

                   Circuit model of T-Line using lumped elements

                   V, I relationships for R, L, C

                   Lumped element model for T-Line

                  

第三講 傳輸線

EL3_A

          Lesson 2: Transmission Lines 1

                    Transmission line equation

         

EL3_B

          Lesson 2: Transmission Lines 1

                    Solution to the T-line equations

                    Reduce unknowns

         

EL3_C

Lesson 2: Transmission Lines 1

Reduce unknowns

Wave propagation on a TL

The characteristic impedance

Back in time-domain

Back in time-domain: standing waves

 

EL3_D

Lesson 2: Transmission Lines 2

                    Lossless T-Lines

                    Lossless TL circuit and equations

                    Characteristic parameters of TL

                    Reflection coefficient

 

第四講 傳輸線

EL4_A

          Lesson 2: Transmission Lines 1

                    Reflection coefficient

                    Table of reflection coefficients

                    Standing waves

         

EL4_B

          Lesson 2: Transmission Lines 1

                    Standing waves

                    Voltage standing-wave ratio (VSWR, S)

                    Defined wave impedance

                    Why knowing wave impedance is helpful?

                    Input impedance Zin

         

第五講 傳輸線

EL5_A

          Lesson 2: Transmission Lines 1

                    Input impedance Zin

                    Special cases of loss lines

                    Short-circuited line

         

EL5_B

          Lesson 2: Transmission Lines 1

                    Input impedance Zin

                    Special cases of loss lines

                    Short-circuited line

 

EL5_C

          Lesson 2: Transmission Lines 1

                    Impedance matching

         

EL5_D

          Lesson 2: Transmission Lines 1

                    Example

         

第六講 向量分析

EL6_A

          Lesson 3: Vector Analysis 1

                    Scalar and vector

                    Vector algebra

                    Unit vector

                    Vector addition and subtraction

                    Dot (inner, scalar) product

                    Cross (vector) product

         

EL6_B

          Lesson 3: Vector Analysis 1

                    Scalar triple product

                    Vector triple product

                    Orthogonal coordinates

-          Definition

-          Application(1)

 

第七講 向量分析

EL7_A

          Lesson 3: Vector Analysis 1

                    Orthogonal coordinates

-          Application(2)

-          Application(3)

Cartesian coordinate

Cylindrical coordinate

 

EL7_B

          Lesson 3: Vector Analysis 1

Cylindrical coordinate

Coordinate transformation: position

Coordinate transformation: vector

         

EL7_C

          Lesson 3: Vector Analysis 1

                    Spherical coordinate

Coordinate transformation: position

Coordinate transformation: vector

 

EL7_D

          Lesson 3: Vector Analysis 2

                    Vector calculus

                    Overview: derivative of functions

                    Gradient: 2D example

                    Gradient: definition & meaning

                    Gradient formula: Cartesian coordinate

                    Generalized gradient formula

 

第八講 向量分析

 

EL8_A

          Lesson 3: Vector Analysis 2

                    Divergence for fun

                    Divergence: definition & meaning

                    Divergence formula (1)

         

EL8_B

          Lesson 3: Vector Analysis 2

                    Divergence formula (2) (3)

                    Generalized divergence formula

                    Divergence theorem

         

第九講 向量分析

EL9_A

          Lesson 3: Vector Analysis 2

                    Curl for fun

                    Curl: definition & meaning

 

EL9_B

          Lesson 3: Vector Analysis 2

                    Curl formula

                    Generalized curl formula

                    Stokes’ theorem

         

EL9_C

          Lesson 3: Vector Analysis 2

                    Scalar Laplacian

Vector Laplacian

Two null identities

Lesson 4: Static Electric Fields 1

Conceptual flow chart

Outline

 

EL9_D

          Lesson 4: Static Electric Fields 1

                    Basic assumptions

                    The electric field intensity

Two fundamental postulates

                    The integral forms

 

第十講 靜電場

 

EL10_A

          Lesson 4: Static Electric Fields 1

                    Coulomb’s Law

                    E-field of a single point charge

                    The definition of Coulomb’s Law

         

EL10_B

          Lesson 4: Static Electric Fields 1

                    The definition of Coulomb’s Law

                    If we have a charge distribution?

                    E-field due to charge distributions (1)

                    Electric dipole

                    E-field due to charge distributions (2)

 

第十一講 靜電場

EL11_A

          Lesson 4: Static Electric Fields 1

                    E-field due to charge distributions (2)

                    Example 3-4

EL11_B

          Lesson 4: Static Electric Fields 1

The definition of Gauss’s Law

                    Example: electric sheltering

                    Example 3-5(using Gauss’s Law)

                    Example 3-6

                    Brief comparison

 

第十二講 靜電場

EL12_A

          Lesson 4: Static Electric Fields 1

                    The definition of electric potential

                    Physical meaning of electric potential

                    Electric potential of a point charge

         

EL12_B

          Lesson 4: Static Electric Fields 1

V due to charge distributions

Finding the e-field

Example 3-9

EL12_C

          Lesson 4: Static Electric Fields 1

Example 3-8: what is an electric dipole?

The electric field of a dipole

Electric dipole vs. point charge

 

EL12_D

          Lesson 4: Static Electric Fields 2

                    Classification of materials

                    Outline

                    Inside a conductor

                    Conductor-air interface

                    Conductor-air interface: boundary conditions

         

第十三講 靜電場

EL13_A

          Lesson 4: Static Electric Fields 2

                    Example 3-11: conducting shell & results

         

EL13_B

          Lesson 4: Static Electric Fields 2

Example 3-11: results

Electric – shielding

Electric dipoles: microscopic view

Electric dipoles: macroscopic view

Metal vs. dielectric

 

第十四講 靜電場

EL14_A

          Lesson 4: Static Electric Fields 2

Metal vs. dielectric

                    How to analyze dipoles?

                    Polarization surface charge density

                    Polarization volume charge density

         

EL14_B

          Lesson 4: Static Electric Fields 2

Remarks

Defining the electric flux density (D)

The physical meaning of D, E, P

The dielectric constant

 

第十五講 靜電場

EL15_A

          Lesson 4: Static Electric Fields 2

The dielectric constant

Example 3-12: dielectric shell

Boundary condition

 

EL15_B

          Lesson 4: Static Electric Fields 2

Tangential BCs

Normal BCs

Remarks

Example 3-15

Example 3-16

 

EL15_C

Lesson 4: Static Electric Fields 3

Capacitance and capacitors

Single-conductor capacitor

Example: single conducting sphere

Dual-conductor capacitor

Applying voltage over dual-conductor capacitor

 

EL15_D

Lesson 4: Static Electric Fields 3

Procedures in determining capacitance

Example 3-17

Example 3-18

Refresh memory

 

第十六講 靜電場

EL16_A

Lesson 4: Static Electric Fields 3

Another method in determining capacitance

Energy of two charges

Energy of more charges

 

EL16_B

Lesson 4: Static Electric Fields 3

Example 3-22(layer by layer)

Example 3-22(entire sphere already in place)

Electrostatic energy in fields

Example 3-24

 

第十七講 穩態電流

EL17_A

          Lesson 5: Steady electric currents

Outline

Current density

Convection currents

Conduction current: origin

Conduction current

Ohm’s law

EL17_B

          Lesson 5: Steady electric currents

Current laws

Steady current

Non-conservative field sources

Electromotive force (emf)

Look at KVL again

 

EL17_C

Lesson 5: Steady electric currents

Equation of continuity

Charge dynamics in conductors

Boundary conditions

Governing equations for current density

BCs for steady current density

Example 5-3: two conducting materials

 

EL17_D

Lesson 5: Steady electric currents

Example 5-4: parallel plate capacitor

 

第十八講 穩態電流與靜磁場

EL18_A

          Lesson 5: Steady electric currents

                    Resistance calculation

                    Example for leakage resistance between two perfect conductors

                    Example 5-5: coaxial cable

          Lesson 6: Steady Magnetic Fields I

                    Outline

                    Fundamental postulates

         

EL18_B

          Lesson 6: Steady Magnetic Fields I

                    Postulates and physical meanings

                    Compare E-field with B-field

 

第十九講 靜磁場

EL19_A

          Lesson 6: Static magnetic fields 1

Example 6-1: Ampere’s circuital law

Example 6-3

 

EL19_B

Lesson 6: Static magnetic fields 1

Example 6-3

Discuss situation of magnetic field outside

 

EL19_C

Lesson 6: Static magnetic fields 1

Compare Gauss’s law with ampere’s law

Vector magnetic potential (VMP)

Definition of vector magnetic potential

The need and physical meaning of A

Poisson’s equation

 

EL19_D

Lesson 6: Static magnetic fields 1

Poisson’s equation

Biot-Savart law and applications

Biot-Savart law: thin wire

Remark

 

第二十講 靜磁場

EL20_A

          Lesson 6: Static magnetic fields 1

Example 6-4: current-carry wire

Example 6-6: circular current loop

 

EL20_B

          Lesson 6: Static magnetic fields 1

The magnetic dipole

                    Example 6-7: magnetic dipole

                    Electric vs. magnetic dipoles

 

第二十一講 靜磁場

EL21_A

          Lesson 6: Static magnetic fields 2

Outline

Static magnetic fields in materials

                   Induced magnetic dipole

                   Magnetization vector

                    A brief comparison

                   Surface magnetization current density

 

EL21_B

          Lesson 6: Static magnetic fields 2

                   Current density (in homogenous): simple proof

                   Volume magnetization current density

                   Current density (in nonhomogeneous): simple proof

                   Example 6-8

                  

第二十二講 靜磁場

EL22_A

          Lesson 6: Static magnetic fields 2

Magnetic field intensity H

Physical meaning of each term

 

EL22_B

          Lesson 6: Static magnetic fields 2

                   Physical meaning of each term

                   Brief comparison (E, B), (D, H)

                   Magnetic susceptibility

                  

EL22_C

          Lesson 6: Static magnetic fields 2

                   Example 6-10: magnetic circuit

                  

EL22_D

          Lesson 6: Static magnetic fields 2

                   Magnetic flux

                   Classification of magnetic materials

                   Diamagnetic material

                   Paramagnetic material

                   Ferromagnetic material

                  

第二十三講 靜磁場

EL23_A

          Lesson 6: Static magnetic fields 2

Boundary conditions

Normal boundary condition

Tangential boundary condition

Example 6-12(Js=0)

Comments

Magnetic leakage

 

EL23_B

          Lesson 6: Static magnetic fields 2

Magnetic leakage

                  

第二十四講 靜磁場

EL24_A

          Lesson 6: Static magnetic fields 3

Inductance

Defining self-inductance

Defining mutual-inductance

When can we ignore mutual-inductance ?

Comment

 

EL24_B

          Lesson 6: Static magnetic fields 3

                   Evaluating inductance: method 1

                   Example 6-15

                   Example 6-18

                   Magnetic energy of a single loop

                   Magnetic energy of two loops

                   Magnetic energy of N loops

                  

EL24_C

          Lesson 6: Static magnetic fields 3

                   Magnetic energy of N loops

                   Magnetic energy of field quantities

                   Evaluating inductance: method 2

                   Example 6-20

                    Force on current carrying loop

                   Suppose we have two loops

                  

EL24_D

          Lesson 6: Static magnetic fields 3

                   Example 6-21

                   Magnetic torque

                  

第二十五講 時變場

EL25_A

          Lesson 7: Time-Varying fields 1

                   Overview

                   Outline

                   Faraday’s experiment

                   Modifying fundamental postulate

                   What does the E in the equation mean?

                  

EL25_B

          Lesson 7: Time-Varying fields 1

Physical meanings

Stationary circuit in time-varying M-field

Example 7-1

Comment

 

                  

第二十六講 時變場

EL26_A

          Lesson 7: Time-Varying fields 1

Transformer

Ideal transformer

 

 

EL26_B

          Lesson 7: Time-Varying fields 1

                   Moving circuit in a static M-field

                   Example 7-3

                   Moving circuit in a time-vary M-field

                   Example 7-4: AC generator

                  

EL26_C

          Lesson 7: Time-Varying fields 1

                   Brief summary

                   James Clerk Maxwell

                   Contribution of Maxwell

                   Modified Ampere’s law

                   Maxwell’s contribution: physical sense

                   Example 7-5: ac-driven capacitor

                   Maxwell’s equations

                   Tangential BC of dynamic (E, M)-fields

                  

第二十七講 時變場

EL27_A

          Lesson 7: Time-Varying fields 2

Outline

Time-domain Maxwell’s equations

 

 

EL27_B

          Lesson 7: Time-Varying fields 2

Time-domain Maxwell’s equations

                   Time-domain homogeneous wave equation

                   Compared to lossless T-Lines

                   Comments

                  

         

第二十八講 時變場

EL28_A

          Lesson 7: Time-Varying fields 2

Why time-harmonics?

Scalar to vector phasor notation

Frequency-domain Maxwell’s equation

Wave vector, wavelength, frequency

                   Phasor-domain: compared to lossless T-Lines

                   Waves in lossy medium: complex permittivity

                   Complex permittivity > complex wave number

                  

EL28_B

          Lesson 7: Time-Varying fields 2

                   Example: moist ground and gold

The EM spectrum

                   Polarized and unpolarized media

                   Induced polarization in dielectric media

                   Inhomogeneous wave equation

                   Source of EM Waves

                  

EL28_C

          Lesson 7: Time-Varying fields 2

                   Time-varying e-dipole

                   Light propagation in medium

                  

 

EL28_D

          Lesson 7: Time-Varying fields 2

Place waves

                   Solution to scalar Helmholtz’s equation

                   What about M-field?

 

 

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