{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "#Activité numérique : Supperposition de signaux sinusoïdaux\n", "##Objectif :\n", "Représenter, à l’aide d’un langage de programmation, la somme de deux signaux sinusoïdaux périodiques synchrones en faisant varier la phase à l'origine de l'un des deux.\n", "\n", "\n", "On s'intéresse à la superposition de signaux $s_1(t)$ et $s_2(t)$ de la forme :\n", "\n", "\\begin{equation}\n", "s(t)=A\\cos \\left(2\\pi ft+\\varphi\\right)\n", "\\end{equation}\n", "\n", "de fréquence $f$=10 Hz. La phase à l'origine de $s_1(t)$ sera prise nulle et les deux amplitudes égales à 1.\n", "\n", "##Questions\n", "1. Calculer la période du signal $T$ à l'endroit indiqué.\n", "2. A quelle ligne est définie la fonction sinusoïdale ?\n", "3. Utiliser cette fonction pour générer et afficher la représentation graphique du signal 1.\n", "4. Créer le deuxième signal avec une phase à l'origine de $\\dfrac{\\pi}{2}$ et l'afficher sur la même figure. A quel décalage temporel $\\Delta t$ cela correspond-t-il ?\n", "5. Calculer le signal somme $s$\n", "6. Déterminer graphiquement la fréquence du signal $s$. Commenter.\n", "7. Faire varier la phase à l'origine du signal 2 entre 0 et 2$\\pi$. Et identifier le cas des interférences constructives ou destructives et donner les décalages temporels correspondants.\n" ], "metadata": { "id": "36elGXS_ijk-" } }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "s5JCB7qDiJcE", "colab": { "base_uri": "https://localhost:8080/", "height": 405 }, "outputId": "7b7e8486-8ae8-4c1b-b7f5-4eae1132b820" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "\n", "#bibliothèques\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from math import* #pour utiliser pi\n", "\n", "\n", "def fonction_cos(t,amplitude,frequence,phi):\n", " return amplitude*np.cos(2*np.pi*frequence*t+phi)\n", "\n", "#paramètres\n", "#amplitudes\n", "A1=1\n", "A2=1\n", "#fréquence\n", "#à compléter en enlevant le #\n", "f=10\n", "phi1=0\n", "\n", "#période\n", "#à calculer\n", "T=1/f\n", "\n", "#temps\n", "temps=np.linspace(0,4*T,1000)\n", "\n", "#signal 1\n", "s1=fonction_cos(temps,A1,f,0)\n", "\n", "#signal 2\n", "s2=fonction_cos(temps,A2,f,pi/2)\n", "\n", "#signal somme\n", "s=s1+s2\n", "\n", "\n", "# Tracé\n", "plt.figure(dpi=100)\n", "plt.xlabel('t en s')\n", "plt.ylabel('Amplitude ')\n", "plt.title('Interférence de deux signaux sinusoidaux synchrones')\n", "plt.plot(temps,s1,label='s1')\n", "plt.plot(temps,s2,label='s2')\n", "plt.plot(temps,s,label='somme')\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" ] } ] }