{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "daddc9f0-8aee-4148-9bc0-8da3420a87f8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2e923934-674b-48be-af3a-8c68570bcad4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "data_I=np.array([-9.45,-7.56,-5.68,-3.79,-1.89,1.89,3.78,5.67,7.56,9.50])*1e-3\n",
    "data_U=np.array([-9.5,-7.5,-5.7,-3.8,-1.9,1.9,3.8,5.68,7.56,9.5])\n",
    "data_R=data_U/data_I\n",
    "data_uI=((1.5/(1e2))*data_I+1e-5*np.ones(10))/np.sqrt(3) #1.5% de la valeur lue + 1 digit\n",
    "data_uU=((0.5/(1e2))*data_U+np.array([0.1,0.1,0.1,0.1,0.1,0.1,0.1,0.01,0.01,0.1]))/np.sqrt(3) #0.5% de la valeur lue + 1 digit\n",
    "data_uBR=data_R*np.sqrt(np.power(data_uI/data_I,2)+np.power(data_uU/data_U,2))\n",
    "R0=np.mean(data_R)\n",
    "uAR=np.std(data_R,ddof=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15cc6bae-f6ae-474a-b7cb-bd986d05e91a",
   "metadata": {},
   "source": [
    "# Question 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "220ba438-bcc1-42fc-aaa5-973ea1f3cfda",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x1400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots(2,figsize=(12,14))\n",
    "ax[0].plot(data_I,data_U,'k+')\n",
    "ax[0].set_xlabel(\"$I$ en A\")\n",
    "ax[0].set_ylabel(\"$U$ en V\")\n",
    "ax[1].plot(np.linspace(1,10,10),data_R,'k+')\n",
    "ax[1].set_xlabel(\"numéro de l'expérience $n$\")\n",
    "ax[1].set_ylabel(\"$R_{0,n}=U_n/I_n$ en $\\\\Omega$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c81748c4-f81f-4138-8a0a-9a44749bf1f1",
   "metadata": {},
   "source": [
    "# Question 11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "9b4fffdd-2235-4b04-9420-29c79a7c786a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a,b=np.polyfit(data_I,data_U,1)\n",
    "fig,ax=plt.subplots(1,figsize=(12,7))\n",
    "ax.plot(data_I,data_U,'k+')\n",
    "ax.plot(data_I,a*data_I+b,'r')\n",
    "ax.set_xlabel(\"$I$ en A\")\n",
    "ax.set_ylabel(\"$U$ en V\")\n",
    "ax.text(-0.0075,-7.,fr\"La pente de la régression linéaire est $R_0=${R0:.2f} $\\Omega$ ce qui est très proche de 1000 $\\Omega$.\",rotation=30)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a3ad7b3-e734-4039-aaa0-e018aa88daf9",
   "metadata": {},
   "source": [
    "# Question 12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "a63cbcfb-0279-4765-99f1-57de5368f8de",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots(1,figsize=(12,7))\n",
    "ax.errorbar(np.linspace(1,10,10),data_R,yerr=data_uBR,fmt='k+',ecolor='k',capsize=7)\n",
    "ax.hlines([R0,R0-2*uAR,R0+2*uAR],xmin=0,xmax=11,color='r')\n",
    "ax.set_xlabel(\"numéro de l'expérience $n$\")\n",
    "ax.set_ylabel(\"$R_{0,n}=U_n/I_n$ en $\\\\Omega$\")\n",
    "ax.annotate('',xy=(10.8,R0+2*uAR+0.5),xytext=(10.8,R0-0.5),arrowprops=dict(edgecolor='darkred',facecolor='darkred',arrowstyle='<|-|>',linewidth=1.5))\n",
    "ax.text(11.,R0+uAR,r\"$2u_A(R_0)$\",color=\"darkred\",ha=\"center\",va=\"center\",rotation=90)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29d6dbd0-4edb-4a0c-98c1-bbc2bdcddaf5",
   "metadata": {},
   "source": [
    "# Question 13"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48453877-c2f9-4f08-9fde-9912694dc533",
   "metadata": {},
   "source": [
    "* À part l'expérience numéro 2, on observe  <center>$|R_{0,n}-\\overline{R}_0|< 2 u_A(R_0),$</center>\n",
    "\n",
    "soit $z_n<2$. Excepté l'expérience numéro 2, les expériences sont cohérentes entre elles. L'expérience numéro 2 est à vérifier car incohérente avec les autres.\n",
    "* Les incertitudes de type B sont entre 2 et 5 fois celle de type A. Elles ont sans doute été surestimées. À vérifier également."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "09f1bb18-425d-4c52-8ef2-3b725f3688bc",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}