EP_8.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tarea Capítulo 8 Ejercicio Programación\n",
    "### Beatriz Santiago Ramírez\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Buscamos una represtación númerica de la siguiente expresión así mismo como que esta misma representación nos ayude a encontrar los datos que dejen entrever por medio de gráficas como estará comportando la función.\n",
    "\\\\\n",
    "Así definimos entonces $Z$ como\n",
    "\\\\\n",
    "\\begin{equation}\n",
    "Z = i \\omega L+\\frac{1}{\\frac{1}{R}+i \\omega C}\n",
    "\\end{equation}\n",
    "\\\\\n",
    "De lo anterior podemos notar primero que se hará una representación general de Z donde para Z_1 veremos como la haremos fija para R,C y L, con la intención de visualizar como se puede operar de manera sencilla. \n",
    "\\\\\n",
    "Luego, para Z, haremos su representación imaginaria dejando fijos tanto R como C y variando L, luego gráficaremos a la parte real como la parte imaginaria en gráficas separadas y con esto buscaremos una interpretación Física."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "from matplotlib import pyplot as plt\n",
    "import sympy as sp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Para valores fijos demostrando que se puede calcular númericamente operaciones con números complejos obteniendo una parte real y una imaginaria. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "L_1 = 3\n",
    "R_1 = 1\n",
    "C_1 = 0.004\n",
    "w_1 = 1/pow(L_1*C_1,1/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Representación de este cálculo con su parte real e imaginaria\n",
      " (0.9986684420772303+27.34966165971202j)\n"
     ]
    }
   ],
   "source": [
    "Z_1 = (w_1*L_1)*1j+(1/((1/R_1)+(w_1*C_1)*1j))\n",
    "print(\"Representación de este cálculo con su parte real e imaginaria\\n\", Z_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "a=[0]\n",
    "b=[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "L = np.linspace(0.0000001,2,1000)\n",
    "R = 1\n",
    "C = 0.004\n",
    "w = 1/pow(L*C,1/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Así, obtenemos los siquiente valores para Z\n",
      " [2.49993750e-05+1.24996875e-07j 3.33566796e-01+2.35991254e-01j\n",
      " 5.00256356e-01+5.00512910e-01j 6.00244079e-01+7.35519811e-01j\n",
      " 6.66891726e-01+9.43605109e-01j 7.14491882e-01+1.13028176e+00j\n",
      " 7.50189098e-01+1.30002118e+00j 7.77951880e-01+1.45614811e+00j\n",
      " 8.00161022e-01+1.60112776e+00j 8.18331423e-01+1.73681650e+00j\n",
      " 8.33472932e-01+1.86463929e+00j 8.46284628e-01+1.98571094e+00j\n",
      " 8.57265827e-01+2.10091889e+00j 8.66782676e-01+2.21098085e+00j\n",
      " 8.75109773e-01+2.31648543e+00j 8.82457100e-01+2.41792152e+00j\n",
      " 8.88987968e-01+2.51569971e+00j 8.94831307e-01+2.61016833e+00j\n",
      " 9.00090254e-01+2.70162559e+00j 9.04848303e-01+2.79032888e+00j\n",
      " 9.09173763e-01+2.87650201e+00j 9.13123065e-01+2.96034089e+00j\n",
      " 9.16743231e-01+3.04201809e+00j 9.20073762e-01+3.12168647e+00j\n",
      " 9.23148079e-01+3.19948214e+00j 9.25994652e-01+3.27552685e+00j\n",
      " 9.28637884e-01+3.34993002e+00j 9.31098812e-01+3.42279039e+00j\n",
      " 9.33395667e-01+3.49419736e+00j 9.35544330e-01+3.56423221e+00j\n",
      " 9.37558692e-01+3.63296907e+00j 9.39450965e-01+3.70047573e+00j\n",
      " 9.41231921e-01+3.76681441e+00j 9.42911102e-01+3.83204231e+00j\n",
      " 9.44496991e-01+3.89621221e+00j 9.45997151e-01+3.95937292e+00j\n",
      " 9.47418352e-01+4.02156962e+00j 9.48766667e-01+4.08284432e+00j\n",
      " 9.50047562e-01+4.14323607e+00j 9.51265972e-01+4.20278130e+00j\n",
      " 9.52426360e-01+4.26151401e+00j 9.53532774e-01+4.31946605e+00j\n",
      " 9.54588894e-01+4.37666724e+00j 9.55598074e-01+4.43314558e+00j\n",
      " 9.56563374e-01+4.48892738e+00j 9.57487596e-01+4.54403745e+00j\n",
      " 9.58373307e-01+4.59849912e+00j 9.59222865e-01+4.65233447e+00j\n",
      " 9.60038440e-01+4.70556432e+00j 9.60822030e-01+4.75820841e+00j\n",
      " 9.61575480e-01+4.81028543e+00j 9.62300498e-01+4.86181309e+00j\n",
      " 9.62998662e-01+4.91280822e+00j 9.63671437e-01+4.96328683e+00j\n",
      " 9.64320184e-01+5.01326411e+00j 9.64946167e-01+5.06275457e+00j\n",
      " 9.65550564e-01+5.11177202e+00j 9.66134472e-01+5.16032962e+00j\n",
      " 9.66698916e-01+5.20843996e+00j 9.67244853e-01+5.25611507e+00j\n",
      " 9.67773178e-01+5.30336642e+00j 9.68284731e-01+5.35020504e+00j\n",
      " 9.68780297e-01+5.39664145e+00j 9.69260615e-01+5.44268575e+00j\n",
      " 9.69726377e-01+5.48834764e+00j 9.70178235e-01+5.53363641e+00j\n",
      " 9.70616803e-01+5.57856098e+00j 9.71042658e-01+5.62312994e+00j\n",
      " 9.71456346e-01+5.66735155e+00j 9.71858381e-01+5.71123373e+00j\n",
      " 9.72249247e-01+5.75478413e+00j 9.72629405e-01+5.79801012e+00j\n",
      " 9.72999287e-01+5.84091879e+00j 9.73359306e-01+5.88351698e+00j\n",
      " 9.73709850e-01+5.92581129e+00j 9.74051290e-01+5.96780809e+00j\n",
      " 9.74383974e-01+6.00951354e+00j 9.74708235e-01+6.05093358e+00j\n",
      " 9.75024390e-01+6.09207396e+00j 9.75332738e-01+6.13294023e+00j\n",
      " 9.75633566e-01+6.17353777e+00j 9.75927144e-01+6.21387179e+00j\n",
      " 9.76213732e-01+6.25394731e+00j 9.76493577e-01+6.29376923e+00j\n",
      " 9.76766914e-01+6.33334228e+00j 9.77033967e-01+6.37267103e+00j\n",
      " 9.77294950e-01+6.41175994e+00j 9.77550069e-01+6.45061332e+00j\n",
      " 9.77799518e-01+6.48923535e+00j 9.78043484e-01+6.52763010e+00j\n",
      " 9.78282147e-01+6.56580153e+00j 9.78515677e-01+6.60375345e+00j\n",
      " 9.78744239e-01+6.64148961e+00j 9.78967988e-01+6.67901362e+00j\n",
      " 9.79187076e-01+6.71632900e+00j 9.79401647e-01+6.75343919e+00j\n",
      " 9.79611838e-01+6.79034752e+00j 9.79817783e-01+6.82705723e+00j\n",
      " 9.80019609e-01+6.86357149e+00j 9.80217439e-01+6.89989336e+00j\n",
      " 9.80411389e-01+6.93602586e+00j 9.80601574e-01+6.97197189e+00j\n",
      " 9.80788100e-01+7.00773431e+00j 9.80971074e-01+7.04331588e+00j\n",
      " 9.81150596e-01+7.07871933e+00j 9.81326762e-01+7.11394728e+00j\n",
      " 9.81499665e-01+7.14900232e+00j 9.81669396e-01+7.18388695e+00j\n",
      " 9.81836041e-01+7.21860363e+00j 9.81999683e-01+7.25315475e+00j\n",
      " 9.82160403e-01+7.28754265e+00j 9.82318278e-01+7.32176962e+00j\n",
      " 9.82473384e-01+7.35583788e+00j 9.82625791e-01+7.38974962e+00j\n",
      " 9.82775572e-01+7.42350698e+00j 9.82922791e-01+7.45711202e+00j\n",
      " 9.83067516e-01+7.49056679e+00j 9.83209808e-01+7.52387329e+00j\n",
      " 9.83349729e-01+7.55703346e+00j 9.83487336e-01+7.59004920e+00j\n",
      " 9.83622688e-01+7.62292239e+00j 9.83755839e-01+7.65565485e+00j\n",
      " 9.83886843e-01+7.68824836e+00j 9.84015750e-01+7.72070468e+00j\n",
      " 9.84142611e-01+7.75302552e+00j 9.84267474e-01+7.78521255e+00j\n",
      " 9.84390386e-01+7.81726743e+00j 9.84511393e-01+7.84919176e+00j\n",
      " 9.84630538e-01+7.88098712e+00j 9.84747864e-01+7.91265506e+00j\n",
      " 9.84863412e-01+7.94419709e+00j 9.84977223e-01+7.97561471e+00j\n",
      " 9.85089335e-01+8.00690936e+00j 9.85199785e-01+8.03808247e+00j\n",
      " 9.85308612e-01+8.06913546e+00j 9.85415850e-01+8.10006969e+00j\n",
      " 9.85521534e-01+8.13088651e+00j 9.85625697e-01+8.16158725e+00j\n",
      " 9.85728372e-01+8.19217320e+00j 9.85829591e-01+8.22264565e+00j\n",
      " 9.85929384e-01+8.25300584e+00j 9.86027781e-01+8.28325500e+00j\n",
      " 9.86124811e-01+8.31339435e+00j 9.86220504e-01+8.34342505e+00j\n",
      " 9.86314885e-01+8.37334829e+00j 9.86407982e-01+8.40316519e+00j\n",
      " 9.86499821e-01+8.43287689e+00j 9.86590428e-01+8.46248449e+00j\n",
      " 9.86679826e-01+8.49198908e+00j 9.86768040e-01+8.52139171e+00j\n",
      " 9.86855094e-01+8.55069344e+00j 9.86941009e-01+8.57989529e+00j\n",
      " 9.87025809e-01+8.60899829e+00j 9.87109515e-01+8.63800342e+00j\n",
      " 9.87192147e-01+8.66691166e+00j 9.87273727e-01+8.69572398e+00j\n",
      " 9.87354274e-01+8.72444133e+00j 9.87433808e-01+8.75306462e+00j\n",
      " 9.87512347e-01+8.78159479e+00j 9.87589911e-01+8.81003274e+00j\n",
      " 9.87666518e-01+8.83837934e+00j 9.87742184e-01+8.86663548e+00j\n",
      " 9.87816928e-01+8.89480201e+00j 9.87890765e-01+8.92287978e+00j\n",
      " 9.87963713e-01+8.95086962e+00j 9.88035788e-01+8.97877235e+00j\n",
      " 9.88107004e-01+9.00658878e+00j 9.88177378e-01+9.03431970e+00j\n",
      " 9.88246923e-01+9.06196590e+00j 9.88315656e-01+9.08952814e+00j\n",
      " 9.88383589e-01+9.11700719e+00j 9.88450736e-01+9.14440379e+00j\n",
      " 9.88517112e-01+9.17171868e+00j 9.88582729e-01+9.19895259e+00j\n",
      " 9.88647601e-01+9.22610622e+00j 9.88711739e-01+9.25318029e+00j\n",
      " 9.88775157e-01+9.28017549e+00j 9.88837867e-01+9.30709251e+00j\n",
      " 9.88899879e-01+9.33393201e+00j 9.88961206e-01+9.36069467e+00j\n",
      " 9.89021860e-01+9.38738113e+00j 9.89081850e-01+9.41399205e+00j\n",
      " 9.89141189e-01+9.44052806e+00j 9.89199886e-01+9.46698979e+00j\n",
      " 9.89257951e-01+9.49337786e+00j 9.89315396e-01+9.51969288e+00j\n",
      " 9.89372230e-01+9.54593546e+00j 9.89428462e-01+9.57210618e+00j\n",
      " 9.89484102e-01+9.59820564e+00j 9.89539160e-01+9.62423441e+00j\n",
      " 9.89593644e-01+9.65019306e+00j 9.89647563e-01+9.67608216e+00j\n",
      " 9.89700927e-01+9.70190226e+00j 9.89753743e-01+9.72765391e+00j\n",
      " 9.89806021e-01+9.75333765e+00j 9.89857767e-01+9.77895401e+00j\n",
      " 9.89908991e-01+9.80450353e+00j 9.89959700e-01+9.82998671e+00j\n",
      " 9.90009902e-01+9.85540408e+00j 9.90059605e-01+9.88075614e+00j\n",
      " 9.90108815e-01+9.90604340e+00j 9.90157540e-01+9.93126634e+00j\n",
      " 9.90205788e-01+9.95642545e+00j 9.90253565e-01+9.98152122e+00j\n",
      " 9.90300879e-01+1.00065541e+01j 9.90347735e-01+1.00315246e+01j\n",
      " 9.90394140e-01+1.00564332e+01j 9.90440102e-01+1.00812803e+01j\n",
      " 9.90485625e-01+1.01060663e+01j 9.90530718e-01+1.01307918e+01j\n",
      " 9.90575385e-01+1.01554571e+01j 9.90619632e-01+1.01800628e+01j\n",
      " 9.90663466e-01+1.02046092e+01j 9.90706892e-01+1.02290967e+01j\n",
      " 9.90749916e-01+1.02535258e+01j 9.90792544e-01+1.02778969e+01j\n",
      " 9.90834780e-01+1.03022104e+01j 9.90876631e-01+1.03264667e+01j\n",
      " 9.90918101e-01+1.03506663e+01j 9.90959196e-01+1.03748094e+01j\n",
      " 9.90999920e-01+1.03988965e+01j 9.91040280e-01+1.04229280e+01j\n",
      " 9.91080279e-01+1.04469043e+01j 9.91119923e-01+1.04708258e+01j\n",
      " 9.91159215e-01+1.04946927e+01j 9.91198162e-01+1.05185056e+01j\n",
      " 9.91236767e-01+1.05422647e+01j 9.91275034e-01+1.05659705e+01j\n",
      " 9.91312969e-01+1.05896232e+01j 9.91350576e-01+1.06132232e+01j\n",
      " 9.91387858e-01+1.06367710e+01j 9.91424821e-01+1.06602667e+01j\n",
      " 9.91461467e-01+1.06837109e+01j 9.91497801e-01+1.07071037e+01j\n",
      " 9.91533828e-01+1.07304456e+01j 9.91569550e-01+1.07537369e+01j\n",
      " 9.91604973e-01+1.07769779e+01j 9.91640099e-01+1.08001689e+01j\n",
      " 9.91674932e-01+1.08233102e+01j 9.91709476e-01+1.08464022e+01j\n",
      " 9.91743735e-01+1.08694452e+01j 9.91777711e-01+1.08924395e+01j\n",
      " 9.91811410e-01+1.09153854e+01j 9.91844833e-01+1.09382832e+01j\n",
      " 9.91877984e-01+1.09611332e+01j 9.91910867e-01+1.09839357e+01j\n",
      " 9.91943485e-01+1.10066910e+01j 9.91975840e-01+1.10293994e+01j\n",
      " 9.92007937e-01+1.10520611e+01j 9.92039778e-01+1.10746766e+01j\n",
      " 9.92071367e-01+1.10972459e+01j 9.92102706e-01+1.11197695e+01j\n",
      " 9.92133797e-01+1.11422476e+01j 9.92164646e-01+1.11646805e+01j\n",
      " 9.92195253e-01+1.11870684e+01j 9.92225622e-01+1.12094116e+01j\n",
      " 9.92255755e-01+1.12317104e+01j 9.92285656e-01+1.12539651e+01j\n",
      " 9.92315327e-01+1.12761759e+01j 9.92344770e-01+1.12983430e+01j\n",
      " 9.92373989e-01+1.13204668e+01j 9.92402985e-01+1.13425474e+01j\n",
      " 9.92431762e-01+1.13645852e+01j 9.92460322e-01+1.13865804e+01j\n",
      " 9.92488666e-01+1.14085331e+01j 9.92516799e-01+1.14304438e+01j\n",
      " 9.92544722e-01+1.14523125e+01j 9.92572436e-01+1.14741396e+01j\n",
      " 9.92599946e-01+1.14959253e+01j 9.92627253e-01+1.15176698e+01j\n",
      " 9.92654359e-01+1.15393733e+01j 9.92681266e-01+1.15610361e+01j\n",
      " 9.92707977e-01+1.15826585e+01j 9.92734494e-01+1.16042405e+01j\n",
      " 9.92760818e-01+1.16257826e+01j 9.92786952e-01+1.16472848e+01j\n",
      " 9.92812899e-01+1.16687474e+01j 9.92838659e-01+1.16901706e+01j\n",
      " 9.92864236e-01+1.17115547e+01j 9.92889630e-01+1.17328998e+01j\n",
      " 9.92914844e-01+1.17542062e+01j 9.92939880e-01+1.17754741e+01j\n",
      " 9.92964740e-01+1.17967036e+01j 9.92989425e-01+1.18178950e+01j\n",
      " 9.93013938e-01+1.18390485e+01j 9.93038280e-01+1.18601643e+01j\n",
      " 9.93062453e-01+1.18812426e+01j 9.93086458e-01+1.19022836e+01j\n",
      " 9.93110298e-01+1.19232874e+01j 9.93133974e-01+1.19442544e+01j\n",
      " 9.93157488e-01+1.19651846e+01j 9.93180842e-01+1.19860784e+01j\n",
      " 9.93204036e-01+1.20069357e+01j 9.93227074e-01+1.20277569e+01j\n",
      " 9.93249955e-01+1.20485422e+01j 9.93272683e-01+1.20692917e+01j\n",
      " 9.93295258e-01+1.20900056e+01j 9.93317682e-01+1.21106841e+01j\n",
      " 9.93339956e-01+1.21313273e+01j 9.93362083e-01+1.21519355e+01j\n",
      " 9.93384063e-01+1.21725088e+01j 9.93405898e-01+1.21930475e+01j\n",
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      " 9.96999991e-01+1.81752945e+01j 9.97004489e-01+1.81890577e+01j\n",
      " 9.97008973e-01+1.82028104e+01j 9.97013444e-01+1.82165527e+01j\n",
      " 9.97017902e-01+1.82302847e+01j 9.97022346e-01+1.82440063e+01j\n",
      " 9.97026777e-01+1.82577177e+01j 9.97031195e-01+1.82714187e+01j\n",
      " 9.97035600e-01+1.82851095e+01j 9.97039991e-01+1.82987900e+01j\n",
      " 9.97044370e-01+1.83124603e+01j 9.97048736e-01+1.83261205e+01j\n",
      " 9.97053089e-01+1.83397704e+01j 9.97057429e-01+1.83534102e+01j\n",
      " 9.97061756e-01+1.83670399e+01j 9.97066071e-01+1.83806594e+01j\n",
      " 9.97070373e-01+1.83942689e+01j 9.97074662e-01+1.84078683e+01j\n",
      " 9.97078939e-01+1.84214577e+01j 9.97083203e-01+1.84350371e+01j\n",
      " 9.97087455e-01+1.84486064e+01j 9.97091695e-01+1.84621658e+01j\n",
      " 9.97095922e-01+1.84757153e+01j 9.97100137e-01+1.84892548e+01j\n",
      " 9.97104339e-01+1.85027844e+01j 9.97108530e-01+1.85163041e+01j\n",
      " 9.97112708e-01+1.85298140e+01j 9.97116875e-01+1.85433140e+01j\n",
      " 9.97121029e-01+1.85568042e+01j 9.97125172e-01+1.85702846e+01j\n",
      " 9.97129302e-01+1.85837552e+01j 9.97133421e-01+1.85972161e+01j\n",
      " 9.97137528e-01+1.86106672e+01j 9.97141623e-01+1.86241087e+01j\n",
      " 9.97145706e-01+1.86375404e+01j 9.97149778e-01+1.86509624e+01j\n",
      " 9.97153838e-01+1.86643748e+01j 9.97157887e-01+1.86777776e+01j\n",
      " 9.97161924e-01+1.86911708e+01j 9.97165949e-01+1.87045543e+01j\n",
      " 9.97169964e-01+1.87179284e+01j 9.97173967e-01+1.87312928e+01j\n",
      " 9.97177958e-01+1.87446477e+01j 9.97181939e-01+1.87579932e+01j\n",
      " 9.97185908e-01+1.87713291e+01j 9.97189866e-01+1.87846556e+01j\n",
      " 9.97193812e-01+1.87979726e+01j 9.97197748e-01+1.88112802e+01j\n",
      " 9.97201673e-01+1.88245784e+01j 9.97205587e-01+1.88378672e+01j\n",
      " 9.97209489e-01+1.88511466e+01j 9.97213381e-01+1.88644167e+01j\n",
      " 9.97217262e-01+1.88776775e+01j 9.97221133e-01+1.88909289e+01j\n",
      " 9.97224992e-01+1.89041711e+01j 9.97228841e-01+1.89174040e+01j\n",
      " 9.97232679e-01+1.89306276e+01j 9.97236507e-01+1.89438420e+01j\n",
      " 9.97240324e-01+1.89570472e+01j 9.97244130e-01+1.89702432e+01j\n",
      " 9.97247926e-01+1.89834301e+01j 9.97251712e-01+1.89966078e+01j\n",
      " 9.97255487e-01+1.90097763e+01j 9.97259252e-01+1.90229358e+01j\n",
      " 9.97263006e-01+1.90360861e+01j 9.97266750e-01+1.90492274e+01j\n",
      " 9.97270484e-01+1.90623596e+01j 9.97274208e-01+1.90754828e+01j\n",
      " 9.97277922e-01+1.90885969e+01j 9.97281625e-01+1.91017021e+01j\n",
      " 9.97285319e-01+1.91147982e+01j 9.97289002e-01+1.91278854e+01j\n",
      " 9.97292676e-01+1.91409637e+01j 9.97296339e-01+1.91540330e+01j\n",
      " 9.97299993e-01+1.91670934e+01j 9.97303636e-01+1.91801449e+01j\n",
      " 9.97307270e-01+1.91931875e+01j 9.97310895e-01+1.92062213e+01j\n",
      " 9.97314509e-01+1.92192463e+01j 9.97318114e-01+1.92322624e+01j\n",
      " 9.97321709e-01+1.92452697e+01j 9.97325294e-01+1.92582683e+01j\n",
      " 9.97328870e-01+1.92712580e+01j 9.97332436e-01+1.92842391e+01j\n",
      " 9.97335993e-01+1.92972113e+01j 9.97339540e-01+1.93101749e+01j\n",
      " 9.97343078e-01+1.93231298e+01j 9.97346607e-01+1.93360760e+01j\n",
      " 9.97350126e-01+1.93490135e+01j 9.97353635e-01+1.93619424e+01j\n",
      " 9.97357136e-01+1.93748627e+01j 9.97360627e-01+1.93877744e+01j\n",
      " 9.97364109e-01+1.94006774e+01j 9.97367582e-01+1.94135719e+01j\n",
      " 9.97371046e-01+1.94264579e+01j 9.97374500e-01+1.94393353e+01j\n",
      " 9.97377946e-01+1.94522041e+01j 9.97381382e-01+1.94650645e+01j\n",
      " 9.97384810e-01+1.94779164e+01j 9.97388229e-01+1.94907598e+01j\n",
      " 9.97391638e-01+1.95035947e+01j 9.97395039e-01+1.95164212e+01j\n",
      " 9.97398431e-01+1.95292393e+01j 9.97401814e-01+1.95420490e+01j\n",
      " 9.97405188e-01+1.95548502e+01j 9.97408554e-01+1.95676431e+01j\n",
      " 9.97411910e-01+1.95804277e+01j 9.97415259e-01+1.95932039e+01j\n",
      " 9.97418598e-01+1.96059718e+01j 9.97421929e-01+1.96187314e+01j\n",
      " 9.97425251e-01+1.96314826e+01j 9.97428565e-01+1.96442256e+01j\n",
      " 9.97431870e-01+1.96569604e+01j 9.97435167e-01+1.96696869e+01j\n",
      " 9.97438455e-01+1.96824052e+01j 9.97441735e-01+1.96951152e+01j\n",
      " 9.97445006e-01+1.97078171e+01j 9.97448269e-01+1.97205108e+01j\n",
      " 9.97451524e-01+1.97331963e+01j 9.97454771e-01+1.97458737e+01j\n",
      " 9.97458009e-01+1.97585429e+01j 9.97461239e-01+1.97712040e+01j\n",
      " 9.97464461e-01+1.97838570e+01j 9.97467674e-01+1.97965020e+01j\n",
      " 9.97470880e-01+1.98091388e+01j 9.97474077e-01+1.98217676e+01j\n",
      " 9.97477266e-01+1.98343884e+01j 9.97480448e-01+1.98470011e+01j\n",
      " 9.97483621e-01+1.98596058e+01j 9.97486786e-01+1.98722026e+01j\n",
      " 9.97489943e-01+1.98847913e+01j 9.97493093e-01+1.98973721e+01j\n",
      " 9.97496234e-01+1.99099450e+01j 9.97499368e-01+1.99225099e+01j\n",
      " 9.97502494e-01+1.99350669e+01j 9.97505612e-01+1.99476159e+01j\n",
      " 9.97508722e-01+1.99601571e+01j 9.97511824e-01+1.99726905e+01j\n",
      " 9.97514919e-01+1.99852159e+01j 9.97518006e-01+1.99977335e+01j\n",
      " 9.97521086e-01+2.00102433e+01j 9.97524157e-01+2.00227453e+01j\n",
      " 9.97527222e-01+2.00352395e+01j 9.97530278e-01+2.00477259e+01j\n",
      " 9.97533327e-01+2.00602045e+01j 9.97536369e-01+2.00726753e+01j\n",
      " 9.97539403e-01+2.00851384e+01j 9.97542429e-01+2.00975938e+01j\n",
      " 9.97545449e-01+2.01100415e+01j 9.97548460e-01+2.01224815e+01j\n",
      " 9.97551465e-01+2.01349137e+01j 9.97554462e-01+2.01473384e+01j\n",
      " 9.97557451e-01+2.01597553e+01j 9.97560434e-01+2.01721646e+01j\n",
      " 9.97563409e-01+2.01845663e+01j 9.97566377e-01+2.01969604e+01j\n",
      " 9.97569337e-01+2.02093469e+01j 9.97572291e-01+2.02217258e+01j\n",
      " 9.97575237e-01+2.02340971e+01j 9.97578176e-01+2.02464608e+01j\n",
      " 9.97581108e-01+2.02588170e+01j 9.97584033e-01+2.02711657e+01j\n",
      " 9.97586951e-01+2.02835069e+01j 9.97589862e-01+2.02958405e+01j\n",
      " 9.97592765e-01+2.03081667e+01j 9.97595662e-01+2.03204854e+01j\n",
      " 9.97598552e-01+2.03327966e+01j 9.97601435e-01+2.03451004e+01j\n",
      " 9.97604311e-01+2.03573967e+01j 9.97607180e-01+2.03696857e+01j\n",
      " 9.97610042e-01+2.03819672e+01j 9.97612898e-01+2.03942413e+01j\n",
      " 9.97615746e-01+2.04065080e+01j 9.97618588e-01+2.04187674e+01j\n",
      " 9.97621423e-01+2.04310194e+01j 9.97624251e-01+2.04432641e+01j\n",
      " 9.97627073e-01+2.04555014e+01j 9.97629888e-01+2.04677314e+01j\n",
      " 9.97632696e-01+2.04799541e+01j 9.97635497e-01+2.04921696e+01j\n",
      " 9.97638292e-01+2.05043777e+01j 9.97641081e-01+2.05165786e+01j\n",
      " 9.97643862e-01+2.05287723e+01j 9.97646638e-01+2.05409587e+01j\n",
      " 9.97649406e-01+2.05531378e+01j 9.97652168e-01+2.05653098e+01j\n",
      " 9.97654924e-01+2.05774746e+01j 9.97657673e-01+2.05896321e+01j\n",
      " 9.97660416e-01+2.06017825e+01j 9.97663152e-01+2.06139258e+01j\n",
      " 9.97665882e-01+2.06260619e+01j 9.97668606e-01+2.06381908e+01j\n",
      " 9.97671323e-01+2.06503127e+01j 9.97674034e-01+2.06624274e+01j\n",
      " 9.97676739e-01+2.06745350e+01j 9.97679437e-01+2.06866355e+01j\n",
      " 9.97682129e-01+2.06987290e+01j 9.97684815e-01+2.07108154e+01j\n",
      " 9.97687495e-01+2.07228948e+01j 9.97690168e-01+2.07349671e+01j\n",
      " 9.97692835e-01+2.07470324e+01j 9.97695496e-01+2.07590906e+01j\n",
      " 9.97698151e-01+2.07711419e+01j 9.97700800e-01+2.07831862e+01j\n",
      " 9.97703443e-01+2.07952235e+01j 9.97706080e-01+2.08072539e+01j\n",
      " 9.97708710e-01+2.08192773e+01j 9.97711335e-01+2.08312938e+01j\n",
      " 9.97713954e-01+2.08433033e+01j 9.97716566e-01+2.08553059e+01j\n",
      " 9.97719173e-01+2.08673016e+01j 9.97721774e-01+2.08792905e+01j\n",
      " 9.97724368e-01+2.08912724e+01j 9.97726957e-01+2.09032475e+01j\n",
      " 9.97729540e-01+2.09152157e+01j 9.97732117e-01+2.09271771e+01j\n",
      " 9.97734689e-01+2.09391316e+01j 9.97737254e-01+2.09510794e+01j\n",
      " 9.97739814e-01+2.09630203e+01j 9.97742368e-01+2.09749544e+01j\n",
      " 9.97744916e-01+2.09868817e+01j 9.97747458e-01+2.09988023e+01j\n",
      " 9.97749995e-01+2.10107161e+01j 9.97752526e-01+2.10226232e+01j\n",
      " 9.97755051e-01+2.10345235e+01j 9.97757571e-01+2.10464170e+01j\n",
      " 9.97760085e-01+2.10583039e+01j 9.97762593e-01+2.10701840e+01j\n",
      " 9.97765096e-01+2.10820575e+01j 9.97767593e-01+2.10939243e+01j\n",
      " 9.97770084e-01+2.11057844e+01j 9.97772570e-01+2.11176378e+01j\n",
      " 9.97775051e-01+2.11294846e+01j 9.97777526e-01+2.11413248e+01j\n",
      " 9.97779995e-01+2.11531583e+01j 9.97782459e-01+2.11649852e+01j\n",
      " 9.97784917e-01+2.11768055e+01j 9.97787371e-01+2.11886193e+01j\n",
      " 9.97789818e-01+2.12004264e+01j 9.97792260e-01+2.12122270e+01j\n",
      " 9.97794697e-01+2.12240210e+01j 9.97797129e-01+2.12358084e+01j\n",
      " 9.97799555e-01+2.12475893e+01j 9.97801975e-01+2.12593637e+01j\n",
      " 9.97804391e-01+2.12711316e+01j 9.97806801e-01+2.12828929e+01j\n",
      " 9.97809206e-01+2.12946478e+01j 9.97811605e-01+2.13063962e+01j\n",
      " 9.97814000e-01+2.13181381e+01j 9.97816389e-01+2.13298735e+01j\n",
      " 9.97818773e-01+2.13416025e+01j 9.97821151e-01+2.13533251e+01j\n",
      " 9.97823525e-01+2.13650412e+01j 9.97825893e-01+2.13767509e+01j\n",
      " 9.97828256e-01+2.13884542e+01j 9.97830614e-01+2.14001511e+01j\n",
      " 9.97832967e-01+2.14118416e+01j 9.97835315e-01+2.14235257e+01j\n",
      " 9.97837658e-01+2.14352034e+01j 9.97839995e-01+2.14468748e+01j\n",
      " 9.97842328e-01+2.14585399e+01j 9.97844656e-01+2.14701986e+01j\n",
      " 9.97846978e-01+2.14818509e+01j 9.97849296e-01+2.14934970e+01j\n",
      " 9.97851608e-01+2.15051368e+01j 9.97853916e-01+2.15167702e+01j\n",
      " 9.97856219e-01+2.15283974e+01j 9.97858516e-01+2.15400183e+01j\n",
      " 9.97860809e-01+2.15516329e+01j 9.97863097e-01+2.15632413e+01j\n",
      " 9.97865380e-01+2.15748434e+01j 9.97867658e-01+2.15864393e+01j\n",
      " 9.97869931e-01+2.15980290e+01j 9.97872200e-01+2.16096124e+01j\n",
      " 9.97874464e-01+2.16211897e+01j 9.97876722e-01+2.16327607e+01j\n",
      " 9.97878976e-01+2.16443256e+01j 9.97881226e-01+2.16558843e+01j\n",
      " 9.97883470e-01+2.16674368e+01j 9.97885710e-01+2.16789832e+01j\n",
      " 9.97887945e-01+2.16905234e+01j 9.97890175e-01+2.17020575e+01j\n",
      " 9.97892401e-01+2.17135855e+01j 9.97894621e-01+2.17251073e+01j\n",
      " 9.97896838e-01+2.17366230e+01j 9.97899049e-01+2.17481327e+01j\n",
      " 9.97901256e-01+2.17596362e+01j 9.97903458e-01+2.17711337e+01j\n",
      " 9.97905656e-01+2.17826251e+01j 9.97907849e-01+2.17941104e+01j\n",
      " 9.97910037e-01+2.18055897e+01j 9.97912221e-01+2.18170630e+01j\n",
      " 9.97914401e-01+2.18285302e+01j 9.97916575e-01+2.18399914e+01j\n",
      " 9.97918746e-01+2.18514466e+01j 9.97920911e-01+2.18628958e+01j\n",
      " 9.97923073e-01+2.18743390e+01j 9.97925229e-01+2.18857762e+01j\n",
      " 9.97927382e-01+2.18972075e+01j 9.97929529e-01+2.19086328e+01j\n",
      " 9.97931673e-01+2.19200521e+01j 9.97933812e-01+2.19314655e+01j\n",
      " 9.97935946e-01+2.19428729e+01j 9.97938076e-01+2.19542744e+01j\n",
      " 9.97940202e-01+2.19656700e+01j 9.97942323e-01+2.19770597e+01j\n",
      " 9.97944440e-01+2.19884435e+01j 9.97946553e-01+2.19998214e+01j\n",
      " 9.97948661e-01+2.20111934e+01j 9.97950765e-01+2.20225596e+01j\n",
      " 9.97952865e-01+2.20339199e+01j 9.97954960e-01+2.20452743e+01j\n",
      " 9.97957051e-01+2.20566229e+01j 9.97959138e-01+2.20679657e+01j\n",
      " 9.97961220e-01+2.20793026e+01j 9.97963299e-01+2.20906337e+01j\n",
      " 9.97965373e-01+2.21019590e+01j 9.97967442e-01+2.21132785e+01j\n",
      " 9.97969508e-01+2.21245922e+01j 9.97971569e-01+2.21359001e+01j\n",
      " 9.97973627e-01+2.21472023e+01j 9.97975680e-01+2.21584986e+01j\n",
      " 9.97977729e-01+2.21697893e+01j 9.97979773e-01+2.21810742e+01j\n",
      " 9.97981814e-01+2.21923533e+01j 9.97983851e-01+2.22036267e+01j\n",
      " 9.97985883e-01+2.22148944e+01j 9.97987911e-01+2.22261564e+01j\n",
      " 9.97989936e-01+2.22374127e+01j 9.97991956e-01+2.22486633e+01j\n",
      " 9.97993972e-01+2.22599082e+01j 9.97995984e-01+2.22711474e+01j\n",
      " 9.97997992e-01+2.22823809e+01j 9.97999996e-01+2.22936088e+01j\n",
      " 9.98001996e-01+2.23048311e+01j 9.98003992e-01+2.23160477e+01j]\n"
     ]
    }
   ],
   "source": [
    "Z = (w*L)*1j+(1/((1/R)+(w*C)*1j))\n",
    "print(\"Así, obtenemos los siquiente valores para Z\\n\", Z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = Z.real\n",
    "b = Z.imag\n",
    "c = np.linspace(0,10,1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Separando en su parte real\n",
      " [2.49993750e-05 3.33566796e-01 5.00256356e-01 6.00244079e-01\n",
      " 6.66891726e-01 7.14491882e-01 7.50189098e-01 7.77951880e-01\n",
      " 8.00161022e-01 8.18331423e-01 8.33472932e-01 8.46284628e-01\n",
      " 8.57265827e-01 8.66782676e-01 8.75109773e-01 8.82457100e-01\n",
      " 8.88987968e-01 8.94831307e-01 9.00090254e-01 9.04848303e-01\n",
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      " 9.97508722e-01 9.97511824e-01 9.97514919e-01 9.97518006e-01\n",
      " 9.97521086e-01 9.97524157e-01 9.97527222e-01 9.97530278e-01\n",
      " 9.97533327e-01 9.97536369e-01 9.97539403e-01 9.97542429e-01\n",
      " 9.97545449e-01 9.97548460e-01 9.97551465e-01 9.97554462e-01\n",
      " 9.97557451e-01 9.97560434e-01 9.97563409e-01 9.97566377e-01\n",
      " 9.97569337e-01 9.97572291e-01 9.97575237e-01 9.97578176e-01\n",
      " 9.97581108e-01 9.97584033e-01 9.97586951e-01 9.97589862e-01\n",
      " 9.97592765e-01 9.97595662e-01 9.97598552e-01 9.97601435e-01\n",
      " 9.97604311e-01 9.97607180e-01 9.97610042e-01 9.97612898e-01\n",
      " 9.97615746e-01 9.97618588e-01 9.97621423e-01 9.97624251e-01\n",
      " 9.97627073e-01 9.97629888e-01 9.97632696e-01 9.97635497e-01\n",
      " 9.97638292e-01 9.97641081e-01 9.97643862e-01 9.97646638e-01\n",
      " 9.97649406e-01 9.97652168e-01 9.97654924e-01 9.97657673e-01\n",
      " 9.97660416e-01 9.97663152e-01 9.97665882e-01 9.97668606e-01\n",
      " 9.97671323e-01 9.97674034e-01 9.97676739e-01 9.97679437e-01\n",
      " 9.97682129e-01 9.97684815e-01 9.97687495e-01 9.97690168e-01\n",
      " 9.97692835e-01 9.97695496e-01 9.97698151e-01 9.97700800e-01\n",
      " 9.97703443e-01 9.97706080e-01 9.97708710e-01 9.97711335e-01\n",
      " 9.97713954e-01 9.97716566e-01 9.97719173e-01 9.97721774e-01\n",
      " 9.97724368e-01 9.97726957e-01 9.97729540e-01 9.97732117e-01\n",
      " 9.97734689e-01 9.97737254e-01 9.97739814e-01 9.97742368e-01\n",
      " 9.97744916e-01 9.97747458e-01 9.97749995e-01 9.97752526e-01\n",
      " 9.97755051e-01 9.97757571e-01 9.97760085e-01 9.97762593e-01\n",
      " 9.97765096e-01 9.97767593e-01 9.97770084e-01 9.97772570e-01\n",
      " 9.97775051e-01 9.97777526e-01 9.97779995e-01 9.97782459e-01\n",
      " 9.97784917e-01 9.97787371e-01 9.97789818e-01 9.97792260e-01\n",
      " 9.97794697e-01 9.97797129e-01 9.97799555e-01 9.97801975e-01\n",
      " 9.97804391e-01 9.97806801e-01 9.97809206e-01 9.97811605e-01\n",
      " 9.97814000e-01 9.97816389e-01 9.97818773e-01 9.97821151e-01\n",
      " 9.97823525e-01 9.97825893e-01 9.97828256e-01 9.97830614e-01\n",
      " 9.97832967e-01 9.97835315e-01 9.97837658e-01 9.97839995e-01\n",
      " 9.97842328e-01 9.97844656e-01 9.97846978e-01 9.97849296e-01\n",
      " 9.97851608e-01 9.97853916e-01 9.97856219e-01 9.97858516e-01\n",
      " 9.97860809e-01 9.97863097e-01 9.97865380e-01 9.97867658e-01\n",
      " 9.97869931e-01 9.97872200e-01 9.97874464e-01 9.97876722e-01\n",
      " 9.97878976e-01 9.97881226e-01 9.97883470e-01 9.97885710e-01\n",
      " 9.97887945e-01 9.97890175e-01 9.97892401e-01 9.97894621e-01\n",
      " 9.97896838e-01 9.97899049e-01 9.97901256e-01 9.97903458e-01\n",
      " 9.97905656e-01 9.97907849e-01 9.97910037e-01 9.97912221e-01\n",
      " 9.97914401e-01 9.97916575e-01 9.97918746e-01 9.97920911e-01\n",
      " 9.97923073e-01 9.97925229e-01 9.97927382e-01 9.97929529e-01\n",
      " 9.97931673e-01 9.97933812e-01 9.97935946e-01 9.97938076e-01\n",
      " 9.97940202e-01 9.97942323e-01 9.97944440e-01 9.97946553e-01\n",
      " 9.97948661e-01 9.97950765e-01 9.97952865e-01 9.97954960e-01\n",
      " 9.97957051e-01 9.97959138e-01 9.97961220e-01 9.97963299e-01\n",
      " 9.97965373e-01 9.97967442e-01 9.97969508e-01 9.97971569e-01\n",
      " 9.97973627e-01 9.97975680e-01 9.97977729e-01 9.97979773e-01\n",
      " 9.97981814e-01 9.97983851e-01 9.97985883e-01 9.97987911e-01\n",
      " 9.97989936e-01 9.97991956e-01 9.97993972e-01 9.97995984e-01\n",
      " 9.97997992e-01 9.97999996e-01 9.98001996e-01 9.98003992e-01]\n"
     ]
    }
   ],
   "source": [
    "print(\"Separando en su parte real\\n\", a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Separando en su parte Imaginaria\n",
      " [1.24996875e-07 2.35991254e-01 5.00512910e-01 7.35519811e-01\n",
      " 9.43605109e-01 1.13028176e+00 1.30002118e+00 1.45614811e+00\n",
      " 1.60112776e+00 1.73681650e+00 1.86463929e+00 1.98571094e+00\n",
      " 2.10091889e+00 2.21098085e+00 2.31648543e+00 2.41792152e+00\n",
      " 2.51569971e+00 2.61016833e+00 2.70162559e+00 2.79032888e+00\n",
      " 2.87650201e+00 2.96034089e+00 3.04201809e+00 3.12168647e+00\n",
      " 3.19948214e+00 3.27552685e+00 3.34993002e+00 3.42279039e+00\n",
      " 3.49419736e+00 3.56423221e+00 3.63296907e+00 3.70047573e+00\n",
      " 3.76681441e+00 3.83204231e+00 3.89621221e+00 3.95937292e+00\n",
      " 4.02156962e+00 4.08284432e+00 4.14323607e+00 4.20278130e+00\n",
      " 4.26151401e+00 4.31946605e+00 4.37666724e+00 4.43314558e+00\n",
      " 4.48892738e+00 4.54403745e+00 4.59849912e+00 4.65233447e+00\n",
      " 4.70556432e+00 4.75820841e+00 4.81028543e+00 4.86181309e+00\n",
      " 4.91280822e+00 4.96328683e+00 5.01326411e+00 5.06275457e+00\n",
      " 5.11177202e+00 5.16032962e+00 5.20843996e+00 5.25611507e+00\n",
      " 5.30336642e+00 5.35020504e+00 5.39664145e+00 5.44268575e+00\n",
      " 5.48834764e+00 5.53363641e+00 5.57856098e+00 5.62312994e+00\n",
      " 5.66735155e+00 5.71123373e+00 5.75478413e+00 5.79801012e+00\n",
      " 5.84091879e+00 5.88351698e+00 5.92581129e+00 5.96780809e+00\n",
      " 6.00951354e+00 6.05093358e+00 6.09207396e+00 6.13294023e+00\n",
      " 6.17353777e+00 6.21387179e+00 6.25394731e+00 6.29376923e+00\n",
      " 6.33334228e+00 6.37267103e+00 6.41175994e+00 6.45061332e+00\n",
      " 6.48923535e+00 6.52763010e+00 6.56580153e+00 6.60375345e+00\n",
      " 6.64148961e+00 6.67901362e+00 6.71632900e+00 6.75343919e+00\n",
      " 6.79034752e+00 6.82705723e+00 6.86357149e+00 6.89989336e+00\n",
      " 6.93602586e+00 6.97197189e+00 7.00773431e+00 7.04331588e+00\n",
      " 7.07871933e+00 7.11394728e+00 7.14900232e+00 7.18388695e+00\n",
      " 7.21860363e+00 7.25315475e+00 7.28754265e+00 7.32176962e+00\n",
      " 7.35583788e+00 7.38974962e+00 7.42350698e+00 7.45711202e+00\n",
      " 7.49056679e+00 7.52387329e+00 7.55703346e+00 7.59004920e+00\n",
      " 7.62292239e+00 7.65565485e+00 7.68824836e+00 7.72070468e+00\n",
      " 7.75302552e+00 7.78521255e+00 7.81726743e+00 7.84919176e+00\n",
      " 7.88098712e+00 7.91265506e+00 7.94419709e+00 7.97561471e+00\n",
      " 8.00690936e+00 8.03808247e+00 8.06913546e+00 8.10006969e+00\n",
      " 8.13088651e+00 8.16158725e+00 8.19217320e+00 8.22264565e+00\n",
      " 8.25300584e+00 8.28325500e+00 8.31339435e+00 8.34342505e+00\n",
      " 8.37334829e+00 8.40316519e+00 8.43287689e+00 8.46248449e+00\n",
      " 8.49198908e+00 8.52139171e+00 8.55069344e+00 8.57989529e+00\n",
      " 8.60899829e+00 8.63800342e+00 8.66691166e+00 8.69572398e+00\n",
      " 8.72444133e+00 8.75306462e+00 8.78159479e+00 8.81003274e+00\n",
      " 8.83837934e+00 8.86663548e+00 8.89480201e+00 8.92287978e+00\n",
      " 8.95086962e+00 8.97877235e+00 9.00658878e+00 9.03431970e+00\n",
      " 9.06196590e+00 9.08952814e+00 9.11700719e+00 9.14440379e+00\n",
      " 9.17171868e+00 9.19895259e+00 9.22610622e+00 9.25318029e+00\n",
      " 9.28017549e+00 9.30709251e+00 9.33393201e+00 9.36069467e+00\n",
      " 9.38738113e+00 9.41399205e+00 9.44052806e+00 9.46698979e+00\n",
      " 9.49337786e+00 9.51969288e+00 9.54593546e+00 9.57210618e+00\n",
      " 9.59820564e+00 9.62423441e+00 9.65019306e+00 9.67608216e+00\n",
      " 9.70190226e+00 9.72765391e+00 9.75333765e+00 9.77895401e+00\n",
      " 9.80450353e+00 9.82998671e+00 9.85540408e+00 9.88075614e+00\n",
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      " 1.00065541e+01 1.00315246e+01 1.00564332e+01 1.00812803e+01\n",
      " 1.01060663e+01 1.01307918e+01 1.01554571e+01 1.01800628e+01\n",
      " 1.02046092e+01 1.02290967e+01 1.02535258e+01 1.02778969e+01\n",
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      " 1.09611332e+01 1.09839357e+01 1.10066910e+01 1.10293994e+01\n",
      " 1.10520611e+01 1.10746766e+01 1.10972459e+01 1.11197695e+01\n",
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      " 1.14959253e+01 1.15176698e+01 1.15393733e+01 1.15610361e+01\n",
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      " 1.18390485e+01 1.18601643e+01 1.18812426e+01 1.19022836e+01\n",
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      " 1.20069357e+01 1.20277569e+01 1.20485422e+01 1.20692917e+01\n",
      " 1.20900056e+01 1.21106841e+01 1.21313273e+01 1.21519355e+01\n",
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      " 1.25769135e+01 1.25967931e+01 1.26166414e+01 1.26364585e+01\n",
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      " 1.68016308e+01 1.68165181e+01 1.68313922e+01 1.68462531e+01\n",
      " 1.68611010e+01 1.68759358e+01 1.68907576e+01 1.69055664e+01\n",
      " 1.69203622e+01 1.69351451e+01 1.69499151e+01 1.69646723e+01\n",
      " 1.69794166e+01 1.69941481e+01 1.70088669e+01 1.70235730e+01\n",
      " 1.70382663e+01 1.70529470e+01 1.70676151e+01 1.70822706e+01\n",
      " 1.70969135e+01 1.71115439e+01 1.71261618e+01 1.71407673e+01\n",
      " 1.71553603e+01 1.71699409e+01 1.71845091e+01 1.71990650e+01\n",
      " 1.72136086e+01 1.72281399e+01 1.72426590e+01 1.72571658e+01\n",
      " 1.72716605e+01 1.72861430e+01 1.73006134e+01 1.73150717e+01\n",
      " 1.73295180e+01 1.73439522e+01 1.73583744e+01 1.73727846e+01\n",
      " 1.73871829e+01 1.74015693e+01 1.74159438e+01 1.74303065e+01\n",
      " 1.74446573e+01 1.74589963e+01 1.74733236e+01 1.74876391e+01\n",
      " 1.75019429e+01 1.75162351e+01 1.75305156e+01 1.75447844e+01\n",
      " 1.75590417e+01 1.75732874e+01 1.75875216e+01 1.76017443e+01\n",
      " 1.76159555e+01 1.76301552e+01 1.76443435e+01 1.76585204e+01\n",
      " 1.76726859e+01 1.76868401e+01 1.77009830e+01 1.77151146e+01\n",
      " 1.77292349e+01 1.77433440e+01 1.77574419e+01 1.77715285e+01\n",
      " 1.77856041e+01 1.77996685e+01 1.78137218e+01 1.78277640e+01\n",
      " 1.78417952e+01 1.78558154e+01 1.78698245e+01 1.78838227e+01\n",
      " 1.78978099e+01 1.79117862e+01 1.79257517e+01 1.79397062e+01\n",
      " 1.79536499e+01 1.79675828e+01 1.79815049e+01 1.79954162e+01\n",
      " 1.80093168e+01 1.80232066e+01 1.80370858e+01 1.80509543e+01\n",
      " 1.80648121e+01 1.80786593e+01 1.80924960e+01 1.81063220e+01\n",
      " 1.81201375e+01 1.81339425e+01 1.81477370e+01 1.81615210e+01\n",
      " 1.81752945e+01 1.81890577e+01 1.82028104e+01 1.82165527e+01\n",
      " 1.82302847e+01 1.82440063e+01 1.82577177e+01 1.82714187e+01\n",
      " 1.82851095e+01 1.82987900e+01 1.83124603e+01 1.83261205e+01\n",
      " 1.83397704e+01 1.83534102e+01 1.83670399e+01 1.83806594e+01\n",
      " 1.83942689e+01 1.84078683e+01 1.84214577e+01 1.84350371e+01\n",
      " 1.84486064e+01 1.84621658e+01 1.84757153e+01 1.84892548e+01\n",
      " 1.85027844e+01 1.85163041e+01 1.85298140e+01 1.85433140e+01\n",
      " 1.85568042e+01 1.85702846e+01 1.85837552e+01 1.85972161e+01\n",
      " 1.86106672e+01 1.86241087e+01 1.86375404e+01 1.86509624e+01\n",
      " 1.86643748e+01 1.86777776e+01 1.86911708e+01 1.87045543e+01\n",
      " 1.87179284e+01 1.87312928e+01 1.87446477e+01 1.87579932e+01\n",
      " 1.87713291e+01 1.87846556e+01 1.87979726e+01 1.88112802e+01\n",
      " 1.88245784e+01 1.88378672e+01 1.88511466e+01 1.88644167e+01\n",
      " 1.88776775e+01 1.88909289e+01 1.89041711e+01 1.89174040e+01\n",
      " 1.89306276e+01 1.89438420e+01 1.89570472e+01 1.89702432e+01\n",
      " 1.89834301e+01 1.89966078e+01 1.90097763e+01 1.90229358e+01\n",
      " 1.90360861e+01 1.90492274e+01 1.90623596e+01 1.90754828e+01\n",
      " 1.90885969e+01 1.91017021e+01 1.91147982e+01 1.91278854e+01\n",
      " 1.91409637e+01 1.91540330e+01 1.91670934e+01 1.91801449e+01\n",
      " 1.91931875e+01 1.92062213e+01 1.92192463e+01 1.92322624e+01\n",
      " 1.92452697e+01 1.92582683e+01 1.92712580e+01 1.92842391e+01\n",
      " 1.92972113e+01 1.93101749e+01 1.93231298e+01 1.93360760e+01\n",
      " 1.93490135e+01 1.93619424e+01 1.93748627e+01 1.93877744e+01\n",
      " 1.94006774e+01 1.94135719e+01 1.94264579e+01 1.94393353e+01\n",
      " 1.94522041e+01 1.94650645e+01 1.94779164e+01 1.94907598e+01\n",
      " 1.95035947e+01 1.95164212e+01 1.95292393e+01 1.95420490e+01\n",
      " 1.95548502e+01 1.95676431e+01 1.95804277e+01 1.95932039e+01\n",
      " 1.96059718e+01 1.96187314e+01 1.96314826e+01 1.96442256e+01\n",
      " 1.96569604e+01 1.96696869e+01 1.96824052e+01 1.96951152e+01\n",
      " 1.97078171e+01 1.97205108e+01 1.97331963e+01 1.97458737e+01\n",
      " 1.97585429e+01 1.97712040e+01 1.97838570e+01 1.97965020e+01\n",
      " 1.98091388e+01 1.98217676e+01 1.98343884e+01 1.98470011e+01\n",
      " 1.98596058e+01 1.98722026e+01 1.98847913e+01 1.98973721e+01\n",
      " 1.99099450e+01 1.99225099e+01 1.99350669e+01 1.99476159e+01\n",
      " 1.99601571e+01 1.99726905e+01 1.99852159e+01 1.99977335e+01\n",
      " 2.00102433e+01 2.00227453e+01 2.00352395e+01 2.00477259e+01\n",
      " 2.00602045e+01 2.00726753e+01 2.00851384e+01 2.00975938e+01\n",
      " 2.01100415e+01 2.01224815e+01 2.01349137e+01 2.01473384e+01\n",
      " 2.01597553e+01 2.01721646e+01 2.01845663e+01 2.01969604e+01\n",
      " 2.02093469e+01 2.02217258e+01 2.02340971e+01 2.02464608e+01\n",
      " 2.02588170e+01 2.02711657e+01 2.02835069e+01 2.02958405e+01\n",
      " 2.03081667e+01 2.03204854e+01 2.03327966e+01 2.03451004e+01\n",
      " 2.03573967e+01 2.03696857e+01 2.03819672e+01 2.03942413e+01\n",
      " 2.04065080e+01 2.04187674e+01 2.04310194e+01 2.04432641e+01\n",
      " 2.04555014e+01 2.04677314e+01 2.04799541e+01 2.04921696e+01\n",
      " 2.05043777e+01 2.05165786e+01 2.05287723e+01 2.05409587e+01\n",
      " 2.05531378e+01 2.05653098e+01 2.05774746e+01 2.05896321e+01\n",
      " 2.06017825e+01 2.06139258e+01 2.06260619e+01 2.06381908e+01\n",
      " 2.06503127e+01 2.06624274e+01 2.06745350e+01 2.06866355e+01\n",
      " 2.06987290e+01 2.07108154e+01 2.07228948e+01 2.07349671e+01\n",
      " 2.07470324e+01 2.07590906e+01 2.07711419e+01 2.07831862e+01\n",
      " 2.07952235e+01 2.08072539e+01 2.08192773e+01 2.08312938e+01\n",
      " 2.08433033e+01 2.08553059e+01 2.08673016e+01 2.08792905e+01\n",
      " 2.08912724e+01 2.09032475e+01 2.09152157e+01 2.09271771e+01\n",
      " 2.09391316e+01 2.09510794e+01 2.09630203e+01 2.09749544e+01\n",
      " 2.09868817e+01 2.09988023e+01 2.10107161e+01 2.10226232e+01\n",
      " 2.10345235e+01 2.10464170e+01 2.10583039e+01 2.10701840e+01\n",
      " 2.10820575e+01 2.10939243e+01 2.11057844e+01 2.11176378e+01\n",
      " 2.11294846e+01 2.11413248e+01 2.11531583e+01 2.11649852e+01\n",
      " 2.11768055e+01 2.11886193e+01 2.12004264e+01 2.12122270e+01\n",
      " 2.12240210e+01 2.12358084e+01 2.12475893e+01 2.12593637e+01\n",
      " 2.12711316e+01 2.12828929e+01 2.12946478e+01 2.13063962e+01\n",
      " 2.13181381e+01 2.13298735e+01 2.13416025e+01 2.13533251e+01\n",
      " 2.13650412e+01 2.13767509e+01 2.13884542e+01 2.14001511e+01\n",
      " 2.14118416e+01 2.14235257e+01 2.14352034e+01 2.14468748e+01\n",
      " 2.14585399e+01 2.14701986e+01 2.14818509e+01 2.14934970e+01\n",
      " 2.15051368e+01 2.15167702e+01 2.15283974e+01 2.15400183e+01\n",
      " 2.15516329e+01 2.15632413e+01 2.15748434e+01 2.15864393e+01\n",
      " 2.15980290e+01 2.16096124e+01 2.16211897e+01 2.16327607e+01\n",
      " 2.16443256e+01 2.16558843e+01 2.16674368e+01 2.16789832e+01\n",
      " 2.16905234e+01 2.17020575e+01 2.17135855e+01 2.17251073e+01\n",
      " 2.17366230e+01 2.17481327e+01 2.17596362e+01 2.17711337e+01\n",
      " 2.17826251e+01 2.17941104e+01 2.18055897e+01 2.18170630e+01\n",
      " 2.18285302e+01 2.18399914e+01 2.18514466e+01 2.18628958e+01\n",
      " 2.18743390e+01 2.18857762e+01 2.18972075e+01 2.19086328e+01\n",
      " 2.19200521e+01 2.19314655e+01 2.19428729e+01 2.19542744e+01\n",
      " 2.19656700e+01 2.19770597e+01 2.19884435e+01 2.19998214e+01\n",
      " 2.20111934e+01 2.20225596e+01 2.20339199e+01 2.20452743e+01\n",
      " 2.20566229e+01 2.20679657e+01 2.20793026e+01 2.20906337e+01\n",
      " 2.21019590e+01 2.21132785e+01 2.21245922e+01 2.21359001e+01\n",
      " 2.21472023e+01 2.21584986e+01 2.21697893e+01 2.21810742e+01\n",
      " 2.21923533e+01 2.22036267e+01 2.22148944e+01 2.22261564e+01\n",
      " 2.22374127e+01 2.22486633e+01 2.22599082e+01 2.22711474e+01\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 2.22823809e+01 2.22936088e+01 2.23048311e+01 2.23160477e+01]\n"
     ]
    }
   ],
   "source": [
    "print(\"Separando en su parte Imaginaria\\n\", b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "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": [
    "def move_spines():\n",
    "    fix, ax = plt.subplots()\n",
    "    for spine in [\"left\", \"bottom\"]:\n",
    "        ax.spines[spine].set_position(\"zero\")\n",
    "    \n",
    "    for spine in [\"right\", \"top\"]:\n",
    "        ax.spines[spine].set_color(\"none\")\n",
    "    \n",
    "    return ax\n",
    "\n",
    "ax = move_spines()\n",
    "ax.set_xlim(-2, 2)\n",
    "ax.set_ylim(-5, 5)\n",
    "ax.grid()\n",
    "ax.scatter(a, b)\n",
    "plt.title(\"Plano de Argand\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2024b14ae08>"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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(c, a)\n",
    "#plt.plot(c, b)\n",
    "#plt.plot(c, Z)\n",
    "plt.ion()\n",
    "plt.xlabel(\"Variación de L\")\n",
    "plt.ylabel(\"Valores en Re\")\n",
    "plt.title(\"Impedancia\")\n",
    "plt.plot(c, a, color=\"blue\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Real\")\n",
    "#plt.plot(c, b, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Imaginaria\")\n",
    "#plt.plot(c, Z, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Imaginaria\")\n",
    "plt.legend(loc='upper right')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2024b12c9c8>"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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(c, a)\n",
    "plt.plot(c, b)\n",
    "#plt.plot(c, Z)\n",
    "plt.ion()\n",
    "plt.xlabel(\"Variación de L\")\n",
    "plt.ylabel(\"Valores en Im\")\n",
    "plt.title(\"Impedancia\")\n",
    "#plt.plot(c, a, color=\"blue\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Real\")\n",
    "plt.plot(c, b, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Imaginaria\")\n",
    "#plt.plot(c, Z, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Imaginaria\")\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2024a8f2508>"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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q+EVEhqFtUzaoxy8ikgBOSkM9IiJJsu1G6xrqERFJhKBkWT1+EZEEKJYsK/hFRBKgtMevL3CJiCSAhnpERBJGQz0iIgmjoR4RkYTRUI+ISMJoqEdEJGEKJcv6ApeISAKUBn92yI+u4BcRGXbU4xcRSRgFv4hIwij4RUQSRsEvIpIwCn4RkYRR8IuIJIyCX0QkYRT8IiIJo+AXEUkYBb+ISMIo+EVEEkbBLyKSMAp+EZGEUfCLiCRMvmRZwS8ikgDq8YuIJIyCX0QkYWo0+M3s22b2kpmtLlnXamYvmNmq6PHOuNoXEaldtXvrxRuBBf2s/1d3b4ked8XYvohIjarRHr+73wtsjuv4IiIjV40G/yA+bmYPR0NBYwfayMyWmNkKM1uxcePGStYnIlJlIyv4/x9wMNACrAf+ZaAN3f06d5/j7nMmTpxYofJERIaDEXQdv7tvcPeiuwfA9cARlWxfRKQWuHeVvKqtD3d3YmaTSl6+B1g90LYiIklVDLqj5yxgQ378of8bImJmPwDmAxPMbB1wBTDfzFoAB54B/mdc7YuI1Kqid5MBikEd6Ri657EFv7t/oJ/VN8TVnojISOFRjz/woR/mAX1zV0Rk2AkIx/gDz8VyfAW/iMgw494TPSv4RUQSIfDeoR4Fv4hIIvT2+EHBLyKSEOEYv4Z6REQSwonG+NXjFxFJiu7ouS6Woyv4RUSGGYt6/KYev4hIUvR+uKsev4hIIphFPX6LJ/h3OWWDmY0BzgamlG7v7p+MpSIRkYQzC8f4LaYefzlz9dwFPAA8AgSxVCEiIn1SUY8/ZfGM8ZcT/PXuflEsrYuIyE5SFt6Ixaw+nuOXsc33zOwjZjbJzMb1PmKpRkRESEVDPalUPMFfTo+/B/gycCnhPPpEz2+MpSIRkYRLp8Jv7mZSTbEcv5zgvwh4k7u/HEsFIiJSIk86Fd5sPWWNsbRQzlDPGqAjltZFRGQHnX1LFlPwl9PjLwKrzOwetn2PWJdziojEorSfXb3g/3H0EBGR2A2D4Hf3m2JpWURE+lHF4DezR9h2Fc9O3H1mLBWJiCRaZ8ly5Xv8p8XSooiIDKKKPX53fzaWFkVEZBClwd8QSwuanVNEZFiJv8ev4BcRGVaGSfCbWYOZHRpLBSIiUiL+D3d3Gfxm9i5gFfCL6HWLmS2LpRoRkcQbHj3+VuAI4FUAd19FeFMWEREZYu7tJa+qF/wFd98SS+siIrKdYhDGbSHIQRVvtr7azD4IpM3sEDO7FrgvlmpERBIuX4yCv9gcWxvlBP8ngGmEE7R9H9gCXBhbRSIiCbatxz8qtjbKmaTtVHe/lPBGLACY2RnAD2OrSkQkoYJoZD0IXhdbG+X0+C8pc52IiOwl57XoOb6hnsEmaTsFeCewn5ldU/LW64BCbBWJiCSY0RY9j46tjcGGel4EVgALgZUl69uAT8VWkYhIgqVSYY8/ZVUIfnd/yMxWAyftyZz8ZvZtwhk+X3L36dG6ccBSwu8BPAO8z91f2YO6RURGpEyqPXqOL/gHHeN39yIw3sz25GLSG4EFO6z7HPBrdz8E+HX0WkREItl0ONSTyVRnqKfXs8AfomkatvaudPevDraTu99rZlN2WP1uYH60fBOwHLi4zFpFREa4LtKpPACZ1JjYWikn+F+MHinY64+Z93X39QDuvt7M9hloQzNbAiwBmDx58l42KyJSC0onSYjvcs5y7rn7T7G1Pni71wHXAcyZM2fAW0CKiIwcm0qWx8fWyi6D38wmAp8l/PZufe96dz9hD9rbYGaTot7+JOClPTiGiMgIVZngL+cLXDcDjwEHAf9EeDXOg3vY3jLgnGj5HOAne3gcEZER6OWS5QmxtVJO8I939xuAvLv/1t3PA47a1U5m9gPgfuBQM1tnZucDVwMnmtkTwInRaxERAYbNUA+Qj57Xm9mphB/07r+rndz9AwO89fYyaxMRSRT3jZj1voqvx19O8H/RzEYDnwauJfyoWd/cFREZYoVgI9k0FIp1ZNLx3IQFBp+rpx74KPAmYD/gBnc/PrZKREQSrqcQBn9PcSyZdHztDDbGfxMwB3gEOAX4l/jKEBGRYrARgEIxvvF9GHyoZ6q7zwAwsxuAP8VaiYhI4vVe1RNv8A/W4+/9UBd31zTMIiIxS6fWR8/7xdrOYD3+w83stWjZgIbotQHu7vF9n1hEJHEC6rPhd1rrMru8cHKvDDYtc4wfLYiIyPZeJp0KB1cy6XiDv5wvcImISOxeLFl+Q6wtKfhFRIaF0uCPd4xfwS8iMiyoxy8ikihBsK7k1etjbUvBLyIyDHTlnwags2ciUBdrWwp+EZFhoBA8CUC+OCX2thT8IiLDQCb9DADp1MGxt6XgFxGpui4asn8DoCF7SOytKfhFRKruWczCW4un1OMXEUmCp0uWFfwiIiOe+6MlrxT8IiIjXmf+EQC682OI+xp+UPCLiFRdoRgFf+EthBMgx0vBLyJSVQH12ccAyGVmVqRFBb+ISFU9Ry6zFYD67OEVaVHBLyJSVQ+VLE+vSIsKfhGRKioU7wfA3YBZFWlTwS8iUkUdPfcB0N59KNBckTYV/CIiVVOkPvtnADKpoyrWqoJfRKRqHiOXaQegIXd0xVpV8IuIVIn78pJX8yrWroJfRKRKtnb/EoCu/ARgWsXaVfCLiFRFkVxmebgUnEAlvrHbS8EvIlIVK8ll2gBoqltQ0ZYV/CIiVVAo/rjk1Tsq2raCX0SkCroKPwSgrasFOKCibSv4RUQqbi2j6sKbqzfm3lfx1hX8IiIVVij+oG85nTq94u1nKt4iYGbPAG1AESi4+5xq1CEiUnlFeorfJpOG9q6ZjKp/c8UrqErwR45395er2L6ISBXcTWPuRQAacx+tSgUa6hERqaCt3d8EIF9sIJX6YFVqqFbwO/ArM1tpZkuqVIOISIU9TkPuTgAKxTOA0VWpolpDPce4+4tmtg9wt5k95u73lm4Q/UJYAjB58uRq1CgiMqQ6e66iIecANOQurlodVenxu/uL0fNLwB3AEf1sc527z3H3ORMnTqx0iSIiQ+w5cpnvA7C1+zRgatUqqXjwm1mTmTX3LgMnAasrXYeISCV19lxMOpUHoKnusqrWUo2hnn2BO8yst/3vu/svqlCHiEiFPEBD7hYAOnreQ2Nup0GOiqp48Lv700BlbiUvIlJ1RbZ2f4ymOigEWRpz/1LtgnQ5p4hInPLFL9FU998ABMGngIOqWxAKfhGRGD2CcQUAHT0Hk8tcUeV6Qgp+EZFYvEZHz3vJpPMEnqIxdzPQWO2iAAW/iEgMAjp6zqQx9xcACsV/BI6sbkklFPwiIkPK6S58msboG7odPQvIZVqrW9IOFPwiIkOop9BKXeZrQDiu35j7AZCuak07qubsnCIiI4iTL15FLvMFADp7JtGY+zUwpqpV9UfBLyKy1wK6CxdRl/k6AF35CTTklgMHVrWqgSj4RUT2ShudPefQkLsDgM7862nI3g1U/gYr5VLwi4jssbV09CyiMfcEAB09h9CYu5vh2tPvpQ93RUR2W0Ax+CY9hbklof92GnP3M9xDHxT8IiK76Um2dh9HOvUxcpkOAjfyxctozP0SGF/t4sqioR4RkbJ0ki9+FfgiTXVd4ZqeN1Cf/Q7Z9EnVLW03KfhFRAYV4P59OvOfozH3Qt/arvz/pCH3ZaC5eqXtIQ31iIj0q4D7zWztnorZh/pCf2v3YcBy6rPfohZDHxT8IiI72EoQ/Dtbu9+M2Vk01T0OQGd+IkHw7zTVPQwcV90S95KGekREAHic7vw3MLuRXKadprpwbVd+ApnUZ2jIXgCMqmqFQ0XBLyIJ9iruP6K9+yaa639HXXbbOx09b6Au81nqsx9huEynPFQU/CKSMJ3AnbR3f5f67C/JpPI01297t71rPqPqL6QxdxojNSJH5lmJiGznRdzvYmv3T8llfk0us5VRddve7cxPJGUfoC5zAaPqD61emRWi4BeREagAPEC+eCdd+Ttprl+DGYwq6dl3F5oJgv9BQ+4sGrLHM9ymTo6Tgl9ERoAi8DDuy9na/RuymXupy7xGNg3Zkjzvyo8j8JNozL2PuswpQP1ABxzRFPwiUoO2AA9SDO5na88fqMvcR12mbadePUBb1ywasqeRSZ9GfXY2SerZD0TBLyLD3FbgYWAVnT0PUAgeYFTdE5g56RS8boeg7+zZh8D/jqa6dwEn01y/bxVqHt4U/CIyTDiwHlhNEPw3HfmV4H+mqe5pzByAhtzOe7V3H0jKjqExdwJwHA25gwGrYN21R8EvIhUWAM8Da3FfQ1d+NfniGuqyj1OXaQMglWK7q256dRea6c7PprHuaDKpo4EjGFU3sZLFjwgKfhGJQQC8ADwFPEWh+Bc680/g/hQNuSfJpjsAMAt78Q39HKGjZ18KQQuN2beSSc8GWqjLHERdRjPN7C0Fv4jsAQdeJey5Pw/8lZ7CE3Tl/4LZUzTkniWT6unbOpOG5gE+U+3Oj6G7cCjZ9HTqs9Mxmwq00JjbJ/azSCoFv4j0YyvbQv15guA5ugrPUig+i9k66rMv9PXae+Uy4aM/QZCmI78fxeBg6jKHUp+dAUwFplKXnUhdVmPylaTgF0kMJ7wMckP0+BuwgWLwN7oL6ykEL4KvI5d5gfrsq9vtmUpBYz8frJYqFOvozE/B/Y3UZw8llzkEOBh4E6nUZEaVToQjVaXgF6lppWH+N3pDPQzzFykU1wMbSKc2UpfduN3wS690GaEO0NkzgXzxDZhNJpeeQi4zGbPJwAHAgWTSk2hOa/y9Fij4RYYFB9qAV4DNOz0XipvoKW6mGGwi8M0Yr5BObaIu8zKZ9J6HOUDgKbrz48gX9wH2I5s+kLrMgaRSBxKG+gHAfjTk6vv9EFZqj4JfZEh1MVB4B76ZnsLLFIqbCXwT8Aope5VM+lVy6S2kUsUBj5pJh49y9YZ5IdiHwPclk3o9ucwksulJwOuBffseKZtAQy6tUE8QBb8kXA/QTvhhZvsOj23r3NsoehuFYhvFoJ3Aw3VOOyl7lXTqVbLpLWTTXQO2lDKozwJ7MNRdDLL0FEZTCMbgPgYYTzo1jlzmDVGY9wZ5GOopG09DTlMTSP8U/FIjimwL4sFDOgjayAdtFIMwpHsD2tiKWTsp6yCT2kom3UE6lS+rdTPIGOzNJeTuRk/hdeSD0QTBGGAcZuPIpMeTS48nnRoPjAXG7fScTjXSkNOVLzI0FPxShgDIR4+ekuXdfV263IlHPehC0EbR2wmCdsJx7nbMtpKyraRTHaRTWwftSe8olYK6GD5jLAZZ8sUmikEjgTfh3oTTRMrGkrJx5DLjyaTGYzaO/sLb7HXUZdP084VUkYqqSvCb2QLg64TT5P2Hu19djToqw9k+CHcnHMt7HXgPQdBD4HkC78Y9T+A9OHnce3B6wPM4eYye6DkPFDALj2eWxyiQsh7MCqSsQMrypFJ5UhbE8i9jBtnMHo18DCrwFIViI4WgiSBoIvBROI0YozBrJmWjyKSayaSbSaeaCe+j2vto2uF177om0qkcumhFRoKKB7+ZpYF/A04E1gEPmtkyd187tC11Anexq/B076Ho3XgQhmXgeZze8Ozdpjt8jvaxvv0LYWBaDxYth4G5LTzTqcLQnlY/UgapGh3OzRcbKRQbKXojQTAKj4I3ZU2krJlUqjkM6VQzZjsGcv9BnbI6chmjzItaRBKnGj3+I4An3f1pADO7BXg3MMTBvwV47y636h27pYZ7coGnCIIsgWcJPIN7hsBzOBncw08T3XNABieLkcXJYWTBshg5zMLXKQuXU5YjZdtem+UI++ZZoHR5V68Heq8BaCSbTm13owwRiV81gn8/wu+B91oHHLnjRma2BFgCMHny5D1opvz+XnG70AyX3bO4Z3ByUXhmoDQwoxDrDUyzbBiY5LDUttBMbReauxOY5QdqylI12+MXkcqrRvD3d2mC77TC/TrgOoA5c+bs9P6ujQYeYtcBmiadMt2TR0QSoxrBv47wq4C99gdeHPpm0sDMoT+siEiNq8bI9oPAIWZ2kIVjIO8HllWhDhGRRKp4j9/dC2b2ceCXhN3yb7v7mkrXISKSVFW5jt/d7yK81lJERCqshi9iFBGRPaHgFxFJGAW/iEjCKPhFRBLG3Pfgu1EVZmYbgWf3cPcJwMtDWE4t0Dkng845GfbmnA9094k7rqyJ4N8bZrbC3edUu45K0jkng845GeI4Zw31iIgkjIJfRCRhkhD811W7gCrQOSeDzjkZhvycR/wYv4iIbC8JPX4RESmh4BcRSZgRE/xmtsDMHjezJ83sc/28b2Z2TfT+w2b21mrUOZTKOOczo3N92MzuM7PDq1HnUNrVOZdsN9fMima26/tvDnPlnLOZzTezVWa2xsx+W+kah1oZP9ujzeynZvZQdM4frkadQ8XMvm1mL5nZ6gHeH9r8cveafxBO7/wU8EbC22s9BEzdYZt3Aj8nvAPYUcAfq113Bc75aGBstHxKEs65ZLvfEM4A+95q112B/+cxhPesnhy93qfadVfgnP8R+OdoeSKwGchVu/a9OOe/A94KrB7g/SHNr5HS4++7gbu79wC9N3Av9W7gux56ABhjZpMqXegQ2uU5u/t97v5K9PIBwrud1bJy/p8BPgH8CHipksXFpJxz/iBwu7s/B+DutX7e5ZyzA81mZsAowuAvVLbMoePu9xKew0CGNL9GSvD3dwP3/fZgm1qyu+dzPmGPoZbt8pzNbD/gPcC3KlhXnMr5f34zMNbMlpvZSjM7u2LVxaOcc/4GcBjhbVsfAS5096Ay5VXFkOZXVW7EEoNybuBe1k3ea0jZ52NmxxMG/9tirSh+5Zzz14CL3b0YdgZrXjnnnAFmA28HGoD7zewBd/9L3MXFpJxzPhlYBZwAHAzcbWa/c/fXYq6tWoY0v0ZK8JdzA/cK3eS9Yso6HzObCfwHcIq7b6pQbXEp55znALdEoT8BeKeZFdz9xxWpcOiV+7P9srtvBbaa2b3A4UCtBn855/xh4GoPB8CfNLO/Am8B/lSZEituSPNrpAz1lHMD92XA2dGn40cBW9x9faULHUK7PGczmwzcDnyohnt/pXZ5zu5+kLtPcfcpwG3ABTUc+lDez/ZPgGPNLGNmjcCRwKMVrnMolXPOzxH+hYOZ7QscCjxd0Sora0jza0T0+H2AG7ib2Uej979FeIXHO4EngQ7CHkPNKvOcLwfGA9+MesAFr+GZDcs85xGlnHN290fN7BfAw0AA/Ie793tZYC0o8//5SuBGM3uEcBjkYnev2emazewHwHxggpmtA64AshBPfmnKBhGRhBkpQz0iIlImBb+ISMIo+EVEEkbBLyKSMAp+EZGEUfBL4kSzdq4ys9Vm9sPo2vdy920xs3fuZntTzKwzanOtmX3XzLK7X7nI0FDwSxJ1unuLu08HeoCPlrOTmWWAFsLrqXfXU+7eAswg/Nbl+/bgGCJDYkR8gUtkL/wOmGlm7wI+TzgN8CbgTHffYGatwBuAKcDLhPMdNZjZ24CrgDuBawkDPQO0uvtPBmosmkPoT0QTbJnZbOCrhDNMvgycW+PfKJcaoB6/JFbUgz+FcHbH3wNHufsswmmAP1uy6Wzg3e7+QcJvQy+N/mJYClwK/Mbd5wLHA182s6ZB2qwnnFLhF9Fwz7WE9wyYDXwb+D9DfZ4iO1KPX5KowcxWRcu/A24gnOtlaTTHeQ74a8n2y9y9c4BjnQQsNLP/Hb2uByaz81w5B0dtHgLc5u4Pm9l0YDrhzJIQTk+g3r7ETsEvSdQZjbf3MbNrga+6+zIzmw+0lry9dZBjGXC6uz++izafcveW6BfLcjNbSPjLZY27z9vN+kX2ioZ6REKjgRei5XMG2a4NaC55/UvgE9GdoDCzWYM1Eo3ffw64BHgcmGhm86J9s2Y2bc/KFymfgl8k1Ar80Mx+R/gh60DuAaZGl2YuJpwlMgs8HN0o+8oy2vox0Dt98nuBfzazhwhvLHL0np6ASLk0O6eISMKoxy8ikjAKfhGRhFHwi4gkjIJfRCRhFPwiIgmj4BcRSRgFv4hIwvx/fMXaxuGOT3AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(a, b)\n",
    "plt.ion()\n",
    "plt.xlabel(\"Parte Re\")\n",
    "plt.ylabel(\"Parte Im\")\n",
    "plt.title(\"Impedancia\")\n",
    "plt.plot(a, b, color=\"yellow\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Real vs Imaginaria\")\n",
    "#plt.plot(c, b, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Imaginaria\")\n",
    "#plt.plot(c, Z, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"Parte Imaginaria\")\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Podemos ver que sólo para un valor extremadamente pequeño la parte imaginaria se vuelve cero, sin embargo, de ahí en adelante es complicado y casi imposible poder encontrar una parte donde se vuelva cero. Al variar los paramétros se encontró que lanzaba valores nulos para valores de L, así podemos ver que la impedancia será casi imposible volverla 0. En algunos casos se utiliza esta parte para generar resonancias."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}