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?
