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[{ALLOW view All}] |
[{ALLOW edit,upload Trusted}] |
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* [Vlnová rovnice|OOEET_VlnovaRovnice] |
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|[{Math fontsize='14' latex='\\nabla\\times\\vec{H} = \\vec{J} + \\frac{\\partial \\vec{D}}{\\partial t}' }] | [{Math fontsize='14' |
!Ampéruv-Mawellův zákon |
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\oint_{c} H\, dl=I+\frac{d\Psi}{dt}</math>, kde <math>\Psi= \int_{S} D\, dS }] |
[{LTMath fontsize='14' latex='\\nabla\\times\\vec{H} = \\vec{J} + \\frac{\\partial \\vec{D}}{\\partial t}' }] |
[{LTMath fontsize='14' |
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[{Math fontsize='14' latex='\\Psi=\\int_S \\vec{D}.d\\vec{S}' }] |
\oint_{c} H\, dl=I+\frac{d\Psi}{dt}}] |
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|[{Math fontsize='14' latex='\\nabla\\times\\vec{E} = - \\frac{\\partial \\vec{B}}{\\partial t}' }] | [{Math fontsize='14' |
Elektrický indukční tok je definován jako: |
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\oint_{c} E\, dl=- \frac{d\Phi}{dt} }] |
[{LTMath fontsize='14' latex='\\Psi=\\int_S \\vec{D}.d\\vec{S}' }] |
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[{Math fontsize='14' latex='\\Phi=\\int_S \\vec{B}.d\\vec{S}' }] |
!Faradayův zákon |
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|[{Math fontsize='14' |
[{LTMath fontsize='14' latex='\\nabla\\times\\vec{E} = - \\frac{\\partial \\vec{B}}{\\partial t}' }] |
[{LTMath fontsize='14' |
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\nabla\cdot\vec{D} = \rho_0 }] | [{Math fontsize='14' |
\oint_{c} E\, dl=- \frac{d\Phi}{dt} }] |
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\oint_{S} D\, dS=Q_0 }] |
Magnetický indukční tok je definován jako: |
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|[{Math fontsize='14' |
[{LTMath fontsize='14' latex='\\Phi=\\int_S \\vec{B}.d\\vec{S}' }] |
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\nabla\cdot\vec{B} = 0}] | [{Math fontsize='14' |
!Gaussův zákon pro elektrostatické pole |
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\oint_{S} B\, dS=0 }] |
[{LTMath fontsize='14' latex='\\nabla\\cdot\\vec{D} = \\rho_0' }] |
[{LTMath fontsize='14' latex='\\oint_{S} \\vec{D}\\, d\\vec{S}=Q_0' }] |
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!!Materiálové vztahy |
!Gaussův zákon pro magnetické pole |
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[{Math fontsize='14' latex='\\vec{J}=\\gamma \\vec{E}' }] |
[{LTMath fontsize='14' latex='\\nabla\\cdot\\vec{B} = 0' }] |
[{LTMath fontsize='14' latex='\\oint_{S} \\vec{B}\\, d\\vec{S}=0' }] |
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!!Vlnová rovnice |
!!Materiálové vztahy |
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[{Math fontsize='14' |
[{LTMath fontsize='14' latex='\\vec{J}=\\gamma \\vec{E}' }] |
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\nabla\times(\nabla\times\vec{H}) = \nabla\times(\gamma . \vec{E}) + \nabla\times \left( \frac{\partial \vec{D}}{\partial t}\right) }] |
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[{Math fontsize='14' |
!!Poyntingův vektor |
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\nabla(\nabla . \vec{H})-\nabla^2\vec{H} |
= \gamma . (\nabla\times\vec{E}) + \nabla\times \left( \frac{\partial}{\partial t}\varepsilon\vec{E}\right) }] |
Poyntingův vektor vyjadřuje okamžitou hodnotu plošné hustoty výkonu. Směr vektoru [{LTMath fontsize='12' latex='\\vec{S}'}], který |
je kolmý na [{LTMath fontsize='12' latex='\\vec{E}'}] a [{LTMath fontsize='12' latex='\\vec{H}'}] , udává směr toku energie. Je definován jako |
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[{Math fontsize='14' |
[{LTMath fontsize='12' |
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\underbrace{\nabla(\nabla . \frac{\vec{B}}{\mu})}_0-\nabla^2\vec{H} |
= \gamma . \left(-\frac{\partial\vec{B}}{\partial t}\right) + \varepsilon . \frac{\partial}{\partial t}(\nabla\times\vec{E}) }] |
\vec{S}=\vec{E}\times\vec{H} }] |
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[{Math fontsize='14' |
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-\nabla^2\vec{H} = - \gamma . \mu . \frac{\partial\vec{H}}{\partial t} |
- \varepsilon . \mu . \frac{\partial^2\vec{H}}{\partial t^2} }] |
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[{Math fontsize='14' |
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\nabla^2\vec{H} = \gamma . \mu . \frac{\partial\vec{H}}{\partial t} |
+ \varepsilon . \mu . \frac{\partial^2\vec{H}}{\partial t^2} }] |
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