課程名稱 |
古典電力學一![](images/cancel.gif) Classical Electrodynamics (Ⅰ) |
開課學期 |
110-1 |
授課對象 |
理學院 應用物理學研究所 |
授課教師 |
蔡爾成 |
課號 |
Phys7012 |
課程識別碼 |
222 M1310 |
班次 |
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學分 |
4.0 |
全/半年 |
半年 |
必/選修 |
必修 |
上課時間 |
星期一6,7(13:20~15:10)星期五3,4(10:20~12:10) |
上課地點 |
楊金豹演講 |
備註 |
上課教室:新物104 總人數上限:130人 外系人數限制:5人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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課程概述 |
古典電力學一
1. Electrostatics
Coulomb’s law, Gauss’s law
Scalar potential, Poisson and Laplace equations
Green’s theorem
Dirichlet and Neumann boundary conditions
Formal solution with Green’s function
Electrostatic potential energy and energy density, capacitance
2. Boundary-Value in Electrostatics I
Method of image
Green function for a sphere
Orthogonal functions and expansions
Separation of variables, Laplace equations in rectangular coordinates
3. Boundary-Value in Electrostatics II
Laplace equations in spherical coordinates
Legendre equation and Legendre polynomials
Associated Legendre functions and spherical harmonics
Addition theorem for spherical harmonics
Laplace equations in cylindrical coordinates, Bessel functions
Expansion of Green function in spherical coordinates
Expansion of Green function in cylindrical coordinates
Eigenfunction expansions for Green functions
4. Multipoles, Electrostatics of Macroscopic Media, Dielectrics
multiple expansion
boundary-value problem with dielectrics
molecular polarizability and electric susceptibility
electrostatic energy in dielectric media
5. Magnetostatics
Biot and Savart law
Ampere’s law
vector potential
magnetic fields of a localized current, magnetic moment
macroscopic equations, boundary conditions for B and H
boundary-value problems in magnetostatics
6. Time-Varying Fields, Maxwell Equations, Conservation Laws
Faraday’s law of induction, displacement current, Maxwell equations
vector and scalar potential, gauge transformation
Green functions for the wave equation
derivation of the equations of the macroscopic electromagnetism
Poynting’s theorem and conservation of energy and momentum
conservation laws for macroscopic media
transformation properties of electromagnetic fields
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課程目標 |
CH1: 2,12,15,17,18
CH2: 2,12,13,18,21
CH3: 2,3,5,11,16,22
CH4: 2,3,4,10
CH5: 1,10,20,21,29
CH6: 2,7,10,20
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課程要求 |
待補 |
預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
待補 |
參考書目 |
Jackson, Classical Electrodynamics |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
期中考試 |
50% |
考題有部分(可能將近一半)是從指定習題中挑選 |
2. |
期末考試 |
50% |
考題有部分(可能將近一半)是從指定習題中挑選 |
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