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Electromagnetics (I)

Welcome to this course Electromagnetics (I)

What we will learn in this course?

•Overview of Electromagnetics

•Review of Complex Number, Phasor,

and Vector Algebra/Analysis

•Static Electric Fields

•Static Magnetic Fields

•Dynamic Fields (time-varying)

•Plane Waves

•Introduction to Transmission Lines

ClassicElectromagnetics

T.H.Huang

What is Electromagnetics?

Electromagnetics –The study of the effects of electric charges

at rest (static fields)

and

in motion. (dynamic fields)

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What is the subject of Electromagnetics to learn?

tD

JH

tB

E

0B

ρD

:Equations'

v

sMaxwell

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Textbook & Recommendations

Textbook : “Elements of Electromagnetics,”(5th Int. Edition)

Matthew N.O. Sadiku,2011 Oxford University Press, New York, Oxford

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Textbook - 2 : “Field and Wave Electromagnetics,”(2nd Edition)

David K. Cheng,1989 Addison-Wesley Publishing Company, Inc.

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Ref #1 : “Electromagnetics with Applications,”(5th Edition)Kraus / Fleisch,1999 McGRAW-Hill Companies


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Ref. #2 : “Engineering Electromagnetics,”(2nd Edition)Nathan Ida,2004 Springer-Verlag New York, LLC


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Ref. #3 : “Engineering Electromagnetics”(7th edition)William H. Hayt, Jr. and John A Buck,International Edition 2006.


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Ref. #4 : “Electromagnetics for High-Speed Analog andDigital Communication Circuits,”Ali M. Niknejad,2007 CAMBRIDGE UNIVERSITY PRESS

(進階應用課本)

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課外書 -1 : “A Student’s Guide to Maxwell’s Equations,”by Daniel Fleisch，台大物理系名譽教授鄭以禎譯,天下文化出版社，2010.

(科普讀物)


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課外書 -2 : “Nature’s Numbers: The Unreal Reality ofMathematics”，Ch.5, by Ian Stewart, 葉李華譯,

天下文化出版社，2010.(科普讀物)

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Contents in the Textbook for the first semester :

Ch1 - 2. Vector Algebra, Coordinate Systems and Transformations

Ch3. Vector Calculus

Ch4 - 5. Electrostatic Fields; Electric Fields in Material Space

Ch6. Electrostatic Boundary-Value Problems

Ch7. Magnetostatic Fields

Ch8. Magnetic Forces, Materials, and Devices

Ch9. Maxwell’s Equations

Ch10. Electromagnetic Wave Propagation

Ch11. Transmission Lines

Textbook Contents

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Contents in the Textbook - 2 for the first semester :

Ch1. The Electromagnetic Model

Ch2. Vector Analysis

Ch3. Static Electric Fields

Ch4. Solution of Electrostatic Problem

Ch5. Steady Electric Currents

Ch6. Static Magnetic Fields

Ch7. Time-Varying Fields and Maxwell’s Equations

Ch8. Plane Electromagnetic Waves

Ch9. Theory and Applications of Transmission Lines

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Topics in Electromagnetics (I):

1. Introduction : Model / Units / Demands / Complex Numbers / Phasor

2. Vector Analysis : Products of Vectors / Divergence / Curl / Coordinates

3. Static Electric Fields : Charge / E-field / Gauss’s Law / Capacitance

4. Static Magnetic Fields : Current / M-Field / Ampere’s Law / Inductance

5. Time-Varying Fields : E-Filed M-Field / Maxwell’s Equations

6. Plane Electromagnetic Wave : EM propagation in Space and Media

7. Transmission Lines : EM propagation confined by Conductor

/ Smith Chart / Matching

Topics in This Course

T.H.Huang

Topics in Electromagnetics (II):

1. Plane Electromagnetic Wave

2. Transmission Lines

3. Waveguides and Cavity Resonators : EM Boundary Problems

4. Antennas and Radiating Systems : Antenna

Topics in This Course

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An Overview - What we will learn?

3 coordinate systems : Cartesian, Cylindrical, and Spherical

Vector algebra : dot product (．),cross product (x), right-hand rulegradient operation (▽),

divergence theorem (▽．),Stokes’s theorem (▽x),Helmholtz’s theorem.

0. Vector Algebra:

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B. Magnetostatics :

Biot-Savart’s Law : H (magnetic field intensity) I (current)

A. Electrostatics :

Gauss’s Law : D (electric flux density, =εE) Q (charge)

Coulomb’s Law : E (e-field intensity, =F/q, ) Q (charge)

Ampere’s circuital Law : H (magnetic field intensity, =B/μ) I (current)


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C. Time-Varying (Dynamic) Fields :

Current Continuity Equation:t

vρJ

Faraday’s Law :t

BE

(postulate) Time-varying


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C. Dynamic Fields : (cont.)

Maxwell’s Equations : (the most important one!)

Drop out the time-varying terms, then you get the static fields relations!


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D. Plane Waves :

Time-Harmonic Wave Equations

Wave propagation in lossless/lossy media (dielectric, conductor)

Electromagnetic Power and Poynting Theorem

HEP

(W/m2, Poynting vector, flowing out)

V σV meS

dvpdvwwt

sdP

EM energy density Omic power densityPowerflowing into the surface


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E. Transmission Lines :

Time-Harmonic Transmission-Line Equations

Characteristic Impedance: Zo


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E. Transmission Lines : (cont.)

Microstrip Line(on the PCB applications)(on the Si-wafer appications)

Smith Chart (Z-/G-type)


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The Course Schedule

month Week # content Teaching Test Homework

09 01 Ch1/Ch2 1+1 hr

03 Ch2/3 1+2 hr quiz * HW#102 Ch2 1+2 hr

04 Ch3 1+2 hr

07 Ch4 1+2 hr quiz *06 Ch3/4 1+2 hr HW#2

09 Ch5 1+2 hr08 Ch4/5 1+2 hr HW#3

10 Ch5/6 1 hr mid. 2hr HW#411 Ch6 1+2 hr quiz *

13 Ch6/7 1+2 hr HW#512 Ch6 1+2 hr

15 Ch7 1+2 hr quiz *14 Ch7 1+2 hr

17 Ch8 1+2 hr16 Ch8 1+2 hr HW#6

18 Final 3hr

10

11

12

01

05 Ch3 1+2 hr mid. 2hr

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Scoring :

Homework (+ Quiz ) : HW’s (average) + Quiz (random)

Mid. Test #1 : * 2hr-test

Mid. Test #2 : * 2hr-test

Final Test : * 2hr-test

Others : roll call

Subtotal : 100%

Scoring

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ftp site: http://140.116.187.6(or http://ganymede.ee.ncku.edu.tw)

/開授課程/電磁學

username : guestpasswd : guest01

Download file : for example, em_01x.ppt

Part of the lectures will be updated during the semester.

Lecture Download

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Demonstration

Illustration of Divergence/Curl Concepts

Source: http://www.falstad.com/vector3d/directions.html

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Demo Ex : Waveguide Example (T-Junction, by HFSS-V9)

Zero Offset 2um Offset

[the end]

Demonstration