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Electricity and Magnetism (I) 電磁學 (I)

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, 2 nd Ed. 1989, David K. Cheng

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Electricity and Magnetism (I) 電磁學 (I)

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  1. Electricity and Magnetism (I)電磁學 (I)

  2. 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: Teaching Assistant: 陳世平976203025@cc.ncu.edu.tw .林其彥986403005@cc.ncu.edu.tw .孫楊軼986403008@cc.ncu.edu.tw # attendance/quiz: 15% 100% = 15% + 15% × 5 × (4/5) + 25%

  3. 1 The Electromagnetic Model • 1-1 Introduction • 1-2 The Electromagnetic Model • 1-3 SI Units and Universal Constants

  4. 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.

  5. 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.

  6. Electric charge

  7. 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.

  8. Charge density Current

  9. Fundamental EM Field quantities

  10. 1-3 SI Units and Universal Constants SI unit: International System Unit

  11. 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

  12. 2 Vector Analysis

  13. 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

  14. The law of cosines (length)

  15. Vector product (area)

  16. Scalar triple product (volume)

  17. Vector triple product (Back-cab rule)

  18. 2-4 Orthogonal Coordinate System

  19. 2-6 Gradient of a Scalar Field

  20. 2-7 Divergence of a Vector Field

  21. 2-8 Divergence Theory Flow Source

  22. 2-9 Curl of Vector Field

  23. 2-10 Stokes's Theory

  24. 2-11 Two Null Identities

  25. 2-12 Helmholtz’s Theory

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