From 626eae32c5254abb86162c6d799d467e1f3f4ce9 Mon Sep 17 00:00:00 2001 From: Vincent Date: Wed, 18 Sep 2024 16:20:10 +0200 Subject: [PATCH] phy A1 03 cours + exos --- Physique1A/Physique_1A_03_C_Elec.markdown | 96 +++++++++++++++++++++- Physique1A/Physique_1A_03_EX.markdown | 57 +++++++++++++ Physique1A/img/03_C/Milmann.png | Bin 0 -> 6007 bytes Physique1A/img/03_C/mailles.png | Bin 0 -> 6211 bytes Physique1A/img/03_C/noeuds.png | Bin 0 -> 5207 bytes Physique1A/img/03_C/parallel.png | Bin 0 -> 2675 bytes Physique1A/img/03_C/series.png | Bin 0 -> 2285 bytes Physique1A/img/03_EX/Ex1_IMDEA.png | Bin 0 -> 9777 bytes Physique1A/img/03_EX/Ex2_IMDEA.png | Bin 0 -> 11648 bytes Physique1A/img/03_EX/Ex3_IMDEA.png | Bin 0 -> 11172 bytes Physique1A/img/03_EX/Ex4_IMDEA.png | Bin 0 -> 15382 bytes Physique1A/img/03_EX/Ex5_IMDEA.png | Bin 0 -> 15272 bytes Physique1A/img/03_EX/Ex6_IMDEA.png | Bin 0 -> 10805 bytes Physique1A/img/03_EX/Ex7_IMDEA.png | Bin 0 -> 15174 bytes Physique1A/img/03_EX/Ex8_IMDEA.png | Bin 0 -> 9316 bytes 15 files changed, 152 insertions(+), 1 deletion(-) create mode 100644 Physique1A/Physique_1A_03_EX.markdown create mode 100644 Physique1A/img/03_C/Milmann.png create mode 100644 Physique1A/img/03_C/mailles.png create mode 100644 Physique1A/img/03_C/noeuds.png create mode 100644 Physique1A/img/03_C/parallel.png create mode 100644 Physique1A/img/03_C/series.png create mode 100644 Physique1A/img/03_EX/Ex1_IMDEA.png create mode 100644 Physique1A/img/03_EX/Ex2_IMDEA.png create mode 100644 Physique1A/img/03_EX/Ex3_IMDEA.png create mode 100644 Physique1A/img/03_EX/Ex4_IMDEA.png create mode 100644 Physique1A/img/03_EX/Ex5_IMDEA.png create mode 100644 Physique1A/img/03_EX/Ex6_IMDEA.png create mode 100644 Physique1A/img/03_EX/Ex7_IMDEA.png create mode 100644 Physique1A/img/03_EX/Ex8_IMDEA.png diff --git a/Physique1A/Physique_1A_03_C_Elec.markdown b/Physique1A/Physique_1A_03_C_Elec.markdown index 31d2e79..4bdf35d 100644 --- a/Physique1A/Physique_1A_03_C_Elec.markdown +++ b/Physique1A/Physique_1A_03_C_Elec.markdown @@ -68,4 +68,98 @@ On vient de définir un **champ vectoriel**, c'est à dire une fonction vectorie Image 2 - \ No newline at end of file + + +Pour terminer notre analogie, on va considérer que le champ électrique se comporte comme le champ gravitationnel. Dans le cas gravitationnel, on considère que les masses vont avoir tendance à se déplacer depuis les potentiels élevés (c'est à dire les altitudes élevées) vers les potentiels faibles. De la même manière, les charges électriques positives vont avoir tendance à se déplacer des potentiels électriques élevés vers les potentiels électriques faibles. + +On définit également une **tension électrique** comme étant la différence de potentiel électrique entre deux points. En pratique, on va définir le potentiel électrique en tout point d'un circuit, et la tension électrique correspondra à la différence entre deux points considérés. + +### D. Analogie complète eau / charge + +| Électrocinétique | Gravitation - eau | +|--|--| +|Charge positive|Goutte d'eau| +|Champ électrique $\vec{E}$|Champ gravitationnel $\vec{g}$| +|Potentiel électrique|Altitude| +|Tension|Dénivelé| +|Courant électrique|Débit| + +## 2. Dipôle récepteur / générateur + +### Définition + +Un dipôle est un élément relié au circuit par deux bornes. On va considérer deux types de dipôles principaux : + +- Les dipôles générateurs (une pile par exemple) +- Les dipôles récepteurs (une résistance par exemple) + +Dans un dipôle *générateur*, on oriente par convention l'intensité et la tension dans le même sens. De plus, ces deux grandeurs permettent de calculer la **puissance fournie** par le dipôle : $P = U\times I$ + +Dans un dipôle *récepteur*, on oriente par convention l'intensité et la tension dans des sens opposés. De plus, ces deux grandeurs permettent de calculer la **puissance reçue** par le dipôle : $P = U\times I$ + +### Loi d'Ohm + +Dans une résistance, il existe une relation linéaire entre la tension aux bornes du dipôle, et le courant qui le traverse : $U = R\times I$ + +**Exercice :** Comment exprimer la puissance reçue par une résistance ? + + +## 3. Lois de Kirchhoff + +### A. Loi des noeuds + +![](.img/03_C/noeuds.png) + +- La somme algébrique des courants entrant un noeud est nulle. + +ou + +- Le somme des courants entrant un noeud est égale à la somme des courants sortants. + +Ici, $I_2-I_1-I_3-I_4 = 0$, ou encore $I_2 = I_1+I_3+I_4$ + +### B. Loi des mailles + +![](.img/03_C/mailles.png) + +- La somme algébrique des tensions autour d'une boucle est nulle. + +Ici, $U_0-U_1-U_2-U_3=0$ + +### C. Théorème de Millmann + +![](.img/03_C/Millmann.png) + +Le théorème de Millmann combine les deux lois précédentes, et permet de grandes simplifications dans les calculs. + +$$V_x = \dfrac{\dfrac{V_1}{R_1}+\dfrac{V_2}{R_2}+\dfrac{V_3}{R_3}+I_4}{\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}}$$ + +## 4. Association de résistances + +### A. Association de résistances en série + +![](.img/03_C/series.png) + +$R_{eq} = R_1 + R_2 + R_3$ + +Lorsqu'on associe des résistances en série, on rend le passage du courant *plus difficile*, donc on additionne les résistances. + +**Formule du diviseur de tension :** + +Si on considère deux résistances en série : + +$U_1 = \dfrac{U_{total} \times R_1}{R_1+R_2}$, $U_2 = \dfrac{U_{total} \times R_2}{R_1+R_2}$ + +### B. Association de résistances en parallèle + +![](.img/03_C/parallel.png) + +$\dfrac{1}{R_{eq}} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3}$ + +Lorsqu'on associe des résistances en parallèle, on rend le passage du courant *plus facile*, donc on additionne les conductances ($G = \frac{1}{R}$). + +**Formule du diviseur de courant :** + +Si on considère deux résistances en parallèle : + +$i_1 = \dfrac{i_{total} \times R_2}{R_1+R_2}$, $i_2 = \dfrac{i_{total} \times R_1}{R_1+R_2}$ \ No newline at end of file diff --git a/Physique1A/Physique_1A_03_EX.markdown b/Physique1A/Physique_1A_03_EX.markdown new file mode 100644 index 0000000..3193871 --- /dev/null +++ b/Physique1A/Physique_1A_03_EX.markdown @@ -0,0 +1,57 @@ +--- +layout: default +title: "Physique A1 - Chapitre 3 - Exercices" +date: 2024-07-01 12:19:36 +0200 +categories: exercises +id: Phy1_03_EX +--- + +# Chapitre 3 : Électrocinétique - EXERCICES + +## Exercice 1 + +Donner la valeur du potentiel électrique au point $A$ + +![](.img/03_EX/Ex1_IMDEA.png) + +## Exercice 2 + +Donner la valeur du potentiel électrique au point $A$ + +![](.img/03_EX/Ex2_IMDEA.png) + +## Exercice 3 + +Donner la valeur de la tension $V$, en considérant $R = 330\Omega$ + +![](.img/03_EX/Ex3_IMDEA.png) + +## Exercice 4 + +Donner la valeur de la tension $V$ + +![](.img/03_EX/Ex4_IMDEA.png) + +## Exercice 5 + +Donner la valeur des tensions $V_A$ et $V_B$ + +![](.img/03_EX/Ex5_IMDEA.png) + +## Exercice 6 + +Donner la valeur du courant $I$ qui parcourt la résistance $R_3$ + +![](.img/03_EX/Ex6_IMDEA.png) + +## Exercice 7 + +Donner la valeur du courant $I$ qui parcourt la résistance $R_5$ + +![](.img/03_EX/Ex7_IMDEA.png) + +## Exercice 8 + +Chaque résistance peut dissiper au maximum $0,5 W$. Donner le courant maximum toléré par chaque résistance, et la tension maximale que peut délivrer la source. 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