"Electromagnetics"의 두 판 사이의 차이
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<math>\nabla \cdot \mathbf{D} = \rho_f</math> | <math>\nabla \cdot \mathbf{D} = \rho_f</math> | ||
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+ | <math>\int_{\partial V} D\;\cdot\mathrm{d}\mathbf A = Q_{f}(V)</math> | ||
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+ | <math>\nabla \cdot \mathbf{B} = 0</math> | ||
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+ | <math>\int_{\partial V} B\;\cdot\mathrm{d}\mathbf A = 0</math> | ||
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+ | <math>\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}</math> | ||
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+ | <math>\oint_{\partial S} \mathbf{E} \cdot \mathrm{d}\mathbf{l} = - \frac {\partial \Phi_{B,S}}{\partial t}</math> | ||
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+ | <math>\nabla \times \mathbf{H} = \mathbf{J}_f + \frac{\partial \mathbf{D}} {\partial t}</math> | ||
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+ | <math>\oint_{\partial S} \mathbf{H} \cdot \mathrm{d}\mathbf{l} = I_{f,S} + \frac {\partial \Phi_{D,S}}{\partial t}</math> | ||
2009년 10월 12일 (월) 11:51 판
Lorentz force
- almost all forces in mechanics are conservative forces, those that are functions nly of positions, and certainly not functions of velocities
- Lorentz force is a rare example of velocity dependent force
polarization of light
- has two possibilites
- what does this mean?
Maxwell's equations
\(\nabla \cdot \mathbf{D} = \rho_f\)
\(\int_{\partial V} D\;\cdot\mathrm{d}\mathbf A = Q_{f}(V)\)
\(\nabla \cdot \mathbf{B} = 0\)
\(\int_{\partial V} B\;\cdot\mathrm{d}\mathbf A = 0\)
\(\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}\)
\(\oint_{\partial S} \mathbf{E} \cdot \mathrm{d}\mathbf{l} = - \frac {\partial \Phi_{B,S}}{\partial t}\)
\(\nabla \times \mathbf{H} = \mathbf{J}_f + \frac{\partial \mathbf{D}} {\partial t}\)
\(\oint_{\partial S} \mathbf{H} \cdot \mathrm{d}\mathbf{l} = I_{f,S} + \frac {\partial \Phi_{D,S}}{\partial t}\)
Covariant formulation
electromagnetic field
- an example of four-vector
- gague field describing the photon
- composed of a scalar electric potential and a three-vector magnetic potential
four-current
- charge density and current density
- http://en.wikipedia.org/wiki/Four-current
\[J^a = \left(c \rho, \mathbf{j} \right)\]
where
- c is the speed of light
- ρ the charge density
- j the conventional current density.
- a labels the space-time dimensions
four vector potential
- this is what we call the electromagnetic field
간단한 소개
하위주제들
하위페이지
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관련된 다른 주제들
표준적인 도서 및 추천도서
- 찾아볼 수학책
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
참고할만한 자료
- http://www.zentralblatt-math.org/zmath/en/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/Classical_electromagnetism
- http://en.wikipedia.org/wiki/Maxwell's_equations
- http://en.wikipedia.org/wiki/Covariant_formulation_of_classical_electromagnetism
- http://en.wikipedia.org/wiki/electrical_current
- http://en.wikipedia.org/wiki/Four-current
- http://viswiki.com/en/
- http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
- http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
- 다음백과사전 http://enc.daum.net/dic100/search.do?q=
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