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M3P2
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28ad84cb
Commit
28ad84cb
authored
Apr 12, 2023
by
Claude Meny
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Update cheatsheet.fr.md
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12.temporary_ins/69.waves/30.n3/20.overview/cheatsheet.fr.md
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28ad84cb
...
@@ -912,25 +912,34 @@ e^{\,-\,i\;\big(\frac{\varphi1-\varphi2}{2}\big)}
...
@@ -912,25 +912,34 @@ e^{\,-\,i\;\big(\frac{\varphi1-\varphi2}{2}\big)}


-------------------
**Calcul de l'onde résultante**
*en notation réelle*
**Calcul de l'onde résultante**
*en notation réelle*
*
En notation réelle, les deux OPPH s'écrivent :
A faire
<br>
**$`\boldsymbol{\mathbf{U_1(x,t) = A\cdot cos(\omega t - kx + \varphi_1)}}`$**
**$`\boldsymbol{\mathbf{U_2(x,t) = A\cdot cos(\omega t + kx + \varphi_2)}}`$**
*
Calcul de l'onde résultante :
**Calcul de l'onde résultante**
*en notation complexe*
<br>
$
`\color{brown}{\mathbf{U(x,t)}}\; = U_1(x,t) + U_2(x,t)`
$
à continuer.
!
[](
stationary-wave-1D-ventre_L1200.jpg
)
!
[](
stationary-wave-1D-ventre_L1200.jpg
)
!
[](
waves-interferences-ventres-noeuds-niv_3a-2_L1200.gif
)
!
[](
waves-interferences-ventres-noeuds-niv_3a-2_L1200.gif
)
!
[](
stationary-wave-1D-noeud_L1200.jpg
)
!
[](
stationary-wave-1D-noeud_L1200.jpg
)
*
L'
*onde résultante*
est :
A faire
*
Définir :
*
l'onde
*
les interférences constructives
*
les interférences destructives
*
les noeuds
*
les lignes nodales.
*
les ventres.
<!-------------------
<!-------------------
$
`\begin{align} \quad &=A\;\big[\,cos(\underbrace{\omega t - kx}_{\color{blue}{\text{ posons }\\ \omega t + kx \,=\, \alpha}} + \varphi_1) + cos(\underbrace{\omega t - kx}_{\color{blue}{=\; \alpha}} + \varphi_1)\,\big]
$
`\begin{align} \quad &=A\;\big[\,cos(\underbrace{\omega t - kx}_{\color{blue}{\text{ posons }\\ \omega t + kx \,=\, \alpha}} + \varphi_1) + cos(\underbrace{\omega t - kx}_{\color{blue}{=\; \alpha}} + \varphi_1)\,\big]
...
...
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