Lugovtsov/3.2.5-oscillating-circuit/processing.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 265,
   "id": "4c18befe-eab7-4708-8a74-e9441ece565c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.optimize import curve_fit\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "sqrt = np.sqrt\n",
    "pi = np.pi\n",
    "cos = np.cos\n",
    "sin = np.sin\n",
    "exp = np.exp\n",
    "e = np.e"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "527687f5-fb63-42ed-8c58-8bc0947710a9",
   "metadata": {},
   "source": [
    "#### Резонансная частота"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f52fc1dd-97d6-4e7a-b7dd-8a22bb8e372d",
   "metadata": {},
   "source": [
    "$\\nu_0 = \\dfrac{1}{2\\pi\\sqrt{LC}}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "04171738-ae97-463b-88b6-b03b55fdd617",
   "metadata": {},
   "outputs": [],
   "source": [
    "def nu_rez(L, C):\n",
    "    return 1 / (2 * np.pi * np.sqrt(L * C))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "87c14a27-7683-433e-9705-51496e137f17",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1591.5494309189535"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nu0 = nu_rez(100e-3, 0.1e-6)\n",
    "nu0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33a9c25f-3478-497c-901a-c0950a8eda55",
   "metadata": {},
   "source": [
    "## R = 0 Ом"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5090862a-7622-49a9-b593-fc9ec6c2fc4e",
   "metadata": {},
   "source": [
    "freq = 1588 Hz\n",
    "\n",
    "period = 35.322 ms\n",
    "\n",
    "N = 30 cycles"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e90b3bb4-0a43-41a4-b492-56aa947dcde0",
   "metadata": {},
   "source": [
    "#### Логарифмический декремент затухания для возрастающего участка"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cdea4329-0b53-42a2-adde-7732df34fce9",
   "metadata": {},
   "source": [
    "$\\Theta = \\dfrac1n \\ln{\\dfrac{U_0 - U_k}{U_0 - U_{k+n}}}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 535,
   "id": "e779f269-18e0-4fcf-8246-1d583d807edb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Theta_incr(U0, U1, U2, n):\n",
    "    return 1/n * np.log((U0 - U1) / (U0 - U2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 536,
   "id": "bd9fdd97-683e-433d-92d4-f9de5128a7ab",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(r'raw-data/zug-incr_0-Ohm.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 537,
   "id": "e5ddc315-92fa-4f83-ad2b-2c3fce1dcbb8",
   "metadata": {},
   "outputs": [],
   "source": [
    "U0 = df['U0[mV]']\n",
    "U1 = df['U1[mV]']\n",
    "U2 = df['U2[mV]']\n",
    "n  = df['n']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 538,
   "id": "3b8e013b-90e0-4362-9cc7-37dd8ed80e91",
   "metadata": {},
   "outputs": [],
   "source": [
    "Theta_0_up = np.mean(Theta_incr(U0, U1, U2, n))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e060b5da-df82-4dd3-9460-4dda42d95439",
   "metadata": {},
   "source": [
    "#### Логарифмический декремент затухания для затухающего участка"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c74f90a-5e1f-4c15-bc02-4d1e92969c3e",
   "metadata": {},
   "source": [
    "$\\Theta = \\dfrac1n \\ln{\\dfrac{U_m}{U_{m+n}}}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 539,
   "id": "8fa641b1-02ff-4dcf-a96f-a1d5f4db4796",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Theta_decr(U1, U2, n):\n",
    "    return 1/n * np.log((U1) / (U2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 540,
   "id": "3f2b73c7-ae5d-4b0d-9c06-6e8b166e8e43",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv(r'raw-data/zug-decr_0-Ohm.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 541,
   "id": "19e0dea5-398d-4a9a-9b85-b2d40b490e58",
   "metadata": {},
   "outputs": [],
   "source": [
    "U1 = df['U1[mV]']\n",
    "U2 = df['U2[mV]']\n",
    "n  = df['n']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 542,
   "id": "ee60a941-494b-41eb-bbfa-8acc7f1a5748",
   "metadata": {},
   "outputs": [],
   "source": [
    "Theta_0_down = np.mean(Theta_decr(U1, U2, n))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e9e0a89-497c-47c6-8d3a-fe53c8c3a800",
   "metadata": {},
   "source": [
    "## R = 100 Ом"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e45b382-3569-4936-85ab-3a7f000d3a59",
   "metadata": {},
   "source": [
    "freq = 1588 Hz\n",
    "\n",
    "period = 12 ms\n",
    "\n",
    "N = 8 cycles"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0144e75d-9946-4e5c-92ae-aeb25e3c9c2e",
   "metadata": {},
   "source": [
    "#### Логарифмический декремент затухания для возрастающего участка"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 543,
   "id": "1b70235a-4380-4dad-b79d-e8c61456db1b",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(r'raw-data/zug-incr_100-Ohm.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 544,
   "id": "19501640-3c96-4bde-b319-a8a93a8af87a",
   "metadata": {},
   "outputs": [],
   "source": [
    "U0 = df['U0[mV]']\n",
    "U1 = df['U1[mV]']\n",
    "U2 = df['U2[mV]']\n",
    "n  = df['n']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 545,
   "id": "6a45f573-5c8a-4305-b19a-a9b2a1c3c812",
   "metadata": {},
   "outputs": [],
   "source": [
    "Theta_100_up = np.mean(Theta_incr(U0, U1, U2, n))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7614fa42-560a-43f2-8d6f-1f588cf9370b",
   "metadata": {},
   "source": [
    "#### Логарифмический декремент затухания для затухающего участка"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 546,
   "id": "59668c21-71a4-4344-b872-404bb4f57781",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv(r'raw-data/zug-decr_100-Ohm.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 547,
   "id": "503635a4-5238-48d0-ae6c-8683229dd21a",
   "metadata": {},
   "outputs": [],
   "source": [
    "U1 = df['U1[mV]']\n",
    "U2 = df['U2[mV]']\n",
    "n  = df['n']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 548,
   "id": "00f8bf87-300b-4a5c-970e-8b7ba27c704e",
   "metadata": {},
   "outputs": [],
   "source": [
    "Theta_100_down = np.mean(Theta_decr(U1, U2, n))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "efc47c94-16e9-4563-b50d-429068642829",
   "metadata": {},
   "source": [
    "**50 Hz**\n",
    "\n",
    "L = 100.10 mH\n",
    "\n",
    "R1 = 0.028 Ohm\n",
    "\n",
    "R2 = 100.02 Ohm"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6adb735-9274-4a05-b9b2-d85e185fec62",
   "metadata": {},
   "source": [
    "**500 Hz**\n",
    "\n",
    "L = 100.08 mH\n",
    "\n",
    "R1 = 0.029 Ohm\n",
    "\n",
    "R2 = 100.02"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f1ea607-25e1-4d4b-a714-1bfc49aebe29",
   "metadata": {},
   "source": [
    "**1500 Hz**\n",
    "\n",
    "L = 100.10 mH\n",
    "\n",
    "R1 = 0.03 Ohm\n",
    "\n",
    "R2 = 100.02 Ohm"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e6602f9-a7d5-4ae3-9f4c-a59e8eeb7c81",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Обработка результатов"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 559,
   "id": "1f7346fe-ff2a-49bf-b88c-d39669c10c08",
   "metadata": {},
   "outputs": [],
   "source": [
    "L = 100.1e-3\n",
    "R_L = 30.418\n",
    "\n",
    "C = 0.1e-6\n",
    "\n",
    "R_0 = 0.03 + R_L\n",
    "R_100 = 100.02 + R_L\n",
    "\n",
    "omega_0 = 1 / sqrt(L * C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 560,
   "id": "c05d1ce9-8f2c-4a91-9508-a63c208f3ab8",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Q_m(R):\n",
    "    return 1/R * sqrt(L/C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 561,
   "id": "b1ae28c4-1375-4be2-8bc0-0cb6aa4752b1",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Uc(nu, I):\n",
    "    omega = 2*pi * nu\n",
    "    R = 100\n",
    "    I_0 = I * 1e-6\n",
    "    return I_0 * sqrt((1 + Q_m(R)**2 * (omega / omega_0)**2) / (1 + Q_m(R)**2 * (omega/omega_0 - omega_0/omega)**2)) / (omega * C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 562,
   "id": "4b4aa70f-3da5-4ca8-a252-acc25ae395f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "nominals = [0, 100]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 563,
   "id": "ba14f53c-8756-47e1-9df2-67491ba67e57",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4), dpi=300)\n",
    "\n",
    "plt.minorticks_on()\n",
    "plt.grid(which='minor', linestyle=':', color='0.9')\n",
    "plt.grid(which='major', linestyle='-', color='0.8', lw=0.3)\n",
    "\n",
    "for nominal in nominals:\n",
    "    df = pd.read_csv(rf'raw-data/U-on-nu_{nominal}Ohm.csv')\n",
    "    \n",
    "    U0 = df['U[mV]'][0]\n",
    "    nu0 = df['nu[Hz]'][0]\n",
    "    df.sort_values('nu[Hz]', inplace=True)\n",
    "    \n",
    "    U = df['U[mV]']\n",
    "    nu = df['nu[Hz]']\n",
    "    \n",
    "    plt.errorbar(nu / nu0, U / U0, yerr=0.02, xerr=0.001, lw=1, ls='', marker='.', markersize=3, label=rf\"$R = {nominal} \\Omega$\", ds='default')\n",
    "    # plt.plot(U_line, line(U_line, opt[0], opt[1]), label=r\"Fitting: $R_{diff}=$ \" + f\"{-1/opt[0]:.1f}\" + r\"$\\pm 1.48$ kOhm\", color=\"tab:red\", linestyle='-')\n",
    "    \n",
    "plt.plot([nu.min() / nu0, nu.max() / nu0], 1/sqrt(2)*np.ones(2), lw=0.5, color='tab:red')\n",
    "    \n",
    "plt.xlabel(r\"$\\nu / \\nu_0$\")\n",
    "plt.ylabel(r\"$U / U_0$\")\n",
    "\n",
    "plt.legend()\n",
    "plt.savefig(rf\"images\\U-on-nu_{nominal}-Ohm.png\", facecolor=\"white\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "602425bf-32ad-4274-9644-73aaedbfce8f",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Добротность контура"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6166bb5d-0ef6-4b85-b451-be1c9bc3bcf9",
   "metadata": {},
   "source": [
    "$Q = \\omega_0 / (2 \\Updelta \\Omega)$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7505e329-ebe8-470a-8742-8f4f41e11d7d",
   "metadata": {},
   "source": [
    "#### 0 Ом"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6334afe3-0687-4c26-8815-f5de0c21063e",
   "metadata": {},
   "source": [
    "Измерено с помощью графика"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 564,
   "id": "83226024-d3e2-4e3b-a7a3-a87093f7df8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "31.57894736842106"
      ]
     },
     "execution_count": 564,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "delta = 19/12 * 0.02\n",
    "1/ delta"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c5d3f03-64e4-4d7f-8b92-eabb40ad167e",
   "metadata": {},
   "source": [
    "Измерено с помощью декремента затухания"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 565,
   "id": "1ce8f727-5f65-44e0-9f56-febf8b05bcdf",
   "metadata": {},
   "outputs": [],
   "source": [
    "Q_0_up   = pi / Theta_0_up\n",
    "Q_0_down = pi / Theta_0_down"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 566,
   "id": "02a9bd30-3095-4e61-a09a-3b62f57916e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "27.544114281648127"
      ]
     },
     "execution_count": 566,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q_0_up"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 567,
   "id": "931625dd-330b-40ea-a598-909f576726fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "33.31527433170166"
      ]
     },
     "execution_count": 567,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q_0_down"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "109f12d3-9ee9-4685-91ed-6bbbccc92763",
   "metadata": {},
   "source": [
    "Теоретическое значение через параметры контура"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 568,
   "id": "84a27584-4a5d-4de4-a420-1e79f24ea4a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "Q_0_theor = 1/30.42 * sqrt(L/C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 569,
   "id": "597ddbb6-4546-43cb-9bf7-d15cf6c86301",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "32.88954224399937"
      ]
     },
     "execution_count": 569,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q_0_theor"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab7a8655-2b49-4878-a20d-afcffda1690b",
   "metadata": {},
   "source": [
    "#### 100 Ом"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86edade7-27be-43dd-be6d-170abb028187",
   "metadata": {},
   "source": [
    "Измерено с помощью графика"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 570,
   "id": "7d2d4c0c-e32d-4288-b560-d873bcaa7d7c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.194244604316546"
      ]
     },
     "execution_count": 570,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "delta = 0.02*(3/4 + 6 + 1/5)\n",
    "1 / delta"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b730de11-edf2-49ef-b5e0-c0f18aa8a3c4",
   "metadata": {},
   "source": [
    "Измерено с помощью декремента затухания"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 571,
   "id": "20657dc8-324d-4c69-9b43-9a7655aa601b",
   "metadata": {},
   "outputs": [],
   "source": [
    "Q_100_up   = pi / Theta_100_up\n",
    "Q_100_down = pi / Theta_100_down"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 572,
   "id": "94166bf0-a157-421d-9813-a400a4a20610",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.464127136906649"
      ]
     },
     "execution_count": 572,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q_100_up"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 573,
   "id": "01a61f8d-0605-4a30-b099-209ada14e0d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.729236997993604"
      ]
     },
     "execution_count": 573,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q_100_down"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "274ec737-31de-4b5f-8c59-ed92f62cbea1",
   "metadata": {},
   "source": [
    "Теоретическое значение через параметры контура"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 574,
   "id": "517b0434-85b8-4ed1-b6a8-9212c961f4e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "Q_100_theor = 1/130.42 * sqrt(L/C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 575,
   "id": "3086936a-0e87-4021-aa84-5b50a10ec136",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.671368463904777"
      ]
     },
     "execution_count": 575,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q_100_theor"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbbe0a3d-5435-4d61-9b4e-1ed95c68aaf1",
   "metadata": {},
   "source": [
    "### Результат"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95bd81de-461f-4a4c-942e-47c2564d1116",
   "metadata": {
    "tags": []
   },
   "source": [
    "| $R$ Ом | $R_\\text{конт}$ | Рез. кривая | Возрастание | Затухание | $f(LCR)$ |\n",
    "|--------|-----------------|-------------|-------------|-----------|----------|\n",
    "| 0      | 30.45           | 31.58       | 27.54       | 33.32     | 32.89    |\n",
    "| 100    | 130.44          | 7.19        | 7.46        | 10.73     | 7.67     |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "id": "f0a43157-e11d-49eb-8fd7-5ee23f87b86d",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from scipy.integrate import solve_ivp\n",
    "\n",
    "pi = np.pi\n",
    "sqrt = np.sqrt\n",
    "cos = np.cos\n",
    "sin = np.sin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 243,
   "id": "14ed78c9-5bc4-42ba-bf62-a7bbc312d912",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "eps_0 = 10\n",
    "R = 100\n",
    "L = 100e-3\n",
    "C = 0.1e-6\n",
    "omega = 2 * pi * 1588\n",
    "omega_0 = 1 / sqrt(L * C)\n",
    "phi_0 = -pi/2\n",
    "gamma = R/(2 * L)\n",
    "\n",
    "t = np.linspace(-1e-3, 1e-3, 2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 244,
   "id": "bf8de66c-e2c2-4672-bd7f-989ee7314cba",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def deriv_y(t, y):\n",
    "    u, udot = y\n",
    "    return [udot, omega_0**2 * eps_0 * cos(omega * t + phi_0) - 2 * gamma * udot - omega_0**2 * u]\n",
    "\n",
    "yinit = [0, 0]\n",
    "y = solve_ivp(deriv_y, [-1e-3, 1e-3], yinit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 245,
   "id": "09bee18a-e788-438b-9716-dd82f1761128",
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true,
     "source_hidden": true
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c6481b8820>]"
      ]
     },
     "execution_count": 245,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 3600x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4), dpi=300)\n",
    "plt.grid()\n",
    "plt.plot(t, 10 * cos(omega * t + phi_0))\n",
    "plt.plot(y.t, y.y[0])"
   ]
  }
 ],
 "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": "3.10.2"
  }
 },
 "nbformat": 4,
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