{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Class"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# LCR in series"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![img](lcr.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Resonating frequency\n",
    "\\begin{equation}\n",
    "f_0=\\frac{1}{2\\pi\\sqrt{LC}}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Quality factor\n",
    "\\begin{equation}\n",
    "Q=\\frac{1}{R}\\sqrt{\\frac{L}{C}}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Inductive reactance\n",
    "\\begin{equation}\n",
    "X_L=2\\pi fL\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Capacitive reactance\n",
    "\\begin{equation}\n",
    "X_C=\\frac{1}{2\\pi fC}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Impedance\n",
    "\\begin{equation}\n",
    "z=\\sqrt{(X_L-X_C)^2+R^2}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Phase angle\n",
    "\\begin{equation}\n",
    "\\phi=\\tan^{-1}(\\frac{X_L-X_C}{R})\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class lcr():\n",
    "    def __init__(self,L,C,R,f):\n",
    "        self.L     = L\n",
    "        self.C     = C\n",
    "        self.R     = R\n",
    "        self.f     = f\n",
    "        \n",
    "    def fo(self):\n",
    "        fr=(2*np.pi*np.sqrt(self.L*self.C))**-1\n",
    "        return fr\n",
    "    \n",
    "    def Q(self):\n",
    "        ql=np.sqrt(self.L/self.C)/self.R\n",
    "        return ql\n",
    "    \n",
    "    def inductiveReactance(self):\n",
    "        XL=2*np.pi*self.L*self.f \n",
    "        return XL\n",
    "    \n",
    "    def capacitiveReactance(self):\n",
    "        XC=1/(2*np.pi*self.C*self.f)\n",
    "        return XC\n",
    "    \n",
    "    def impedance(self):\n",
    "        imp=np.sqrt((self.inductiveReactance()-self.capacitiveReactance())**2+self.R**2)\n",
    "        return imp\n",
    "    \n",
    "    def phase(self):\n",
    "        pi=np.arctan((self.inductiveReactance()-self.capacitiveReactance())/self.R)*180/np.pi\n",
    "        return pi    # degree\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "l=0.1    #inductance in H\n",
    "c=1e-6   #capacitance in F\n",
    "r=10     # resistance in ohm\n",
    "v=100    #voltage in V"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Resonating frequency: 503.2921210448704 Hz\n",
      "Q factor: 31.622776601683796\n"
     ]
    }
   ],
   "source": [
    "d=lcr(l,c,r,100)\n",
    "print('Resonating frequency:',d.fo(),'Hz')\n",
    "print('Q factor:',d.Q())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "freq=np.arange(10,1500,10)\n",
    "g=lcr(l,c,r,freq)\n",
    "xl=g.inductiveReactance()\n",
    "xc=g.capacitiveReactance()\n",
    "z=g.impedance()\n",
    "ph=g.phase()\n",
    "I=v/z  # current\n",
    "vr=I*r  #p.d.across reisitor\n",
    "vl=I*xl  #p.d.across inductor\n",
    "vc=I*xc  #p.d.across capacitor\n",
    "power =v*I*np.cos(ph*np.pi/180)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(freq,xl,'m.',label='Inductive Reactance')\n",
    "plt.plot(freq,xc,'c-.',label='Capacitive Reactance')\n",
    "plt.xlabel(xlabel=\"Frequency(Hz)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.ylabel(ylabel=\"Reactance(ohm)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.title(label=\"LCR circuit\",fontsize=20,fontweight='bold',color=\"red\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"image\\LCR1.pdf\", dpi = 600) # dpi dot per inch\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(freq,vr,'g-',label='p.d. across R')\n",
    "plt.plot(freq,vl,'b-',label='p.d. across L')\n",
    "plt.plot(freq,vc,'r-',label='p.d. across C')\n",
    "plt.xlabel(xlabel=\"Frequency(Hz)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.ylabel(ylabel=\"P.d.(V)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.title(label=\"LCR circuit\",fontsize=20,fontweight='bold',color=\"red\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"image\\LCR2.pdf\", dpi = 600)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(freq,z,'m^')\n",
    "plt.xlabel(xlabel=\"Frequency(Hz)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.ylabel(ylabel=\"Impedance(ohm)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.title(label=\"LCR circuit\",fontsize=20,fontweight='bold',color=\"red\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"image\\LCR3.pdf\", dpi = 600)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(freq,I,'c*')\n",
    "plt.xlabel(xlabel=\"Frequency(Hz)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.ylabel(ylabel=\"Current(A)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.title(label=\"LCR circuit\",fontsize=20,fontweight='bold',color=\"red\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"image\\LCR4.pdf\", dpi = 600)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(freq,np.cos(ph*np.pi/180),'k+')\n",
    "plt.xlabel(xlabel=\"Frequency(Hz)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.ylabel(ylabel=\"power factor(unitless)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.title(label=\"LCR circuit\",fontsize=20,fontweight='bold',color=\"red\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"image\\LCR7.pdf\", dpi = 600)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(freq,ph,'k+')\n",
    "plt.xlabel(xlabel=\"Frequency(Hz)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.ylabel(ylabel=\"phase angle(degree)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.title(label=\"LCR circuit\",fontsize=20,fontweight='bold',color=\"red\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"image\\LCR5.pdf\", dpi = 600)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(freq,power,'yo')\n",
    "plt.xlabel(xlabel=\"Frequency(Hz)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.ylabel(ylabel=\"Power(W)\",fontsize=14,fontstyle='italic',color=\"black\")\n",
    "plt.title(label=\"LCR circuit\",fontsize=20,fontweight='bold',color=\"red\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"image\\LCR6.pdf\", dpi = 600)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "data={}\n",
    "data.update({'Freqency':freq,'in.rect.':xl,'cap.Rect':xc,'imp.':z,'curren':I,'phase':ph,'power':power})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Freqency</th>\n",
       "      <th>in.rect.</th>\n",
       "      <th>cap.Rect</th>\n",
       "      <th>imp.</th>\n",
       "      <th>curren</th>\n",
       "      <th>phase</th>\n",
       "      <th>power</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>10</td>\n",
       "      <td>6.283185</td>\n",
       "      <td>15915.494309</td>\n",
       "      <td>15909.214267</td>\n",
       "      <td>0.006286</td>\n",
       "      <td>-89.963986</td>\n",
       "      <td>0.000395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>20</td>\n",
       "      <td>12.566371</td>\n",
       "      <td>7957.747155</td>\n",
       "      <td>7945.187077</td>\n",
       "      <td>0.012586</td>\n",
       "      <td>-89.927886</td>\n",
       "      <td>0.001584</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>30</td>\n",
       "      <td>18.849556</td>\n",
       "      <td>5305.164770</td>\n",
       "      <td>5286.324672</td>\n",
       "      <td>0.018917</td>\n",
       "      <td>-89.891615</td>\n",
       "      <td>0.003578</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>40</td>\n",
       "      <td>25.132741</td>\n",
       "      <td>3978.873577</td>\n",
       "      <td>3953.753482</td>\n",
       "      <td>0.025292</td>\n",
       "      <td>-89.855085</td>\n",
       "      <td>0.006397</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>50</td>\n",
       "      <td>31.415927</td>\n",
       "      <td>3183.098862</td>\n",
       "      <td>3151.698800</td>\n",
       "      <td>0.031729</td>\n",
       "      <td>-89.818206</td>\n",
       "      <td>0.010067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>1450</td>\n",
       "      <td>911.061870</td>\n",
       "      <td>109.762030</td>\n",
       "      <td>801.362236</td>\n",
       "      <td>0.124788</td>\n",
       "      <td>89.285002</td>\n",
       "      <td>0.155719</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>1460</td>\n",
       "      <td>917.345055</td>\n",
       "      <td>109.010235</td>\n",
       "      <td>808.396673</td>\n",
       "      <td>0.123702</td>\n",
       "      <td>89.291224</td>\n",
       "      <td>0.153021</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>1470</td>\n",
       "      <td>923.628240</td>\n",
       "      <td>108.268669</td>\n",
       "      <td>815.420892</td>\n",
       "      <td>0.122636</td>\n",
       "      <td>89.297330</td>\n",
       "      <td>0.150396</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>1480</td>\n",
       "      <td>929.911425</td>\n",
       "      <td>107.537124</td>\n",
       "      <td>822.435099</td>\n",
       "      <td>0.121590</td>\n",
       "      <td>89.303323</td>\n",
       "      <td>0.147842</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>1490</td>\n",
       "      <td>936.194611</td>\n",
       "      <td>106.815398</td>\n",
       "      <td>829.439497</td>\n",
       "      <td>0.120563</td>\n",
       "      <td>89.309206</td>\n",
       "      <td>0.145355</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>149 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Freqency    in.rect.      cap.Rect          imp.    curren      phase  \\\n",
       "0          10    6.283185  15915.494309  15909.214267  0.006286 -89.963986   \n",
       "1          20   12.566371   7957.747155   7945.187077  0.012586 -89.927886   \n",
       "2          30   18.849556   5305.164770   5286.324672  0.018917 -89.891615   \n",
       "3          40   25.132741   3978.873577   3953.753482  0.025292 -89.855085   \n",
       "4          50   31.415927   3183.098862   3151.698800  0.031729 -89.818206   \n",
       "..        ...         ...           ...           ...       ...        ...   \n",
       "144      1450  911.061870    109.762030    801.362236  0.124788  89.285002   \n",
       "145      1460  917.345055    109.010235    808.396673  0.123702  89.291224   \n",
       "146      1470  923.628240    108.268669    815.420892  0.122636  89.297330   \n",
       "147      1480  929.911425    107.537124    822.435099  0.121590  89.303323   \n",
       "148      1490  936.194611    106.815398    829.439497  0.120563  89.309206   \n",
       "\n",
       "        power  \n",
       "0    0.000395  \n",
       "1    0.001584  \n",
       "2    0.003578  \n",
       "3    0.006397  \n",
       "4    0.010067  \n",
       "..        ...  \n",
       "144  0.155719  \n",
       "145  0.153021  \n",
       "146  0.150396  \n",
       "147  0.147842  \n",
       "148  0.145355  \n",
       "\n",
       "[149 rows x 7 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DF = pd.DataFrame(data)\n",
    "DF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "DF.to_csv(\"data/lcr.csv\")  #save data in csv format in excel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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