{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "53a7a462-ee69-4ef6-929f-a80534b9a65b", "metadata": { "jupyter": { "source_hidden": true }, "tags": [] }, "outputs": [], "source": [ "import numpy as np\n", "from math import exp\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import solve_ivp\n", "from scipy.interpolate import interp1d\n", "from scipy.optimize import root_scalar\n", "from scipy.stats import linregress\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "id": "a5b7ec98", "metadata": {}, "outputs": [], "source": [ "from sympy import symbols, exp as sexp, diff, Derivative, Eq, solve, lambdify, solveset" ] }, { "attachments": { "diode-cap.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "9a5dc2ed", "metadata": {}, "source": [ "![diode-cap.png](attachment:diode-cap.png)" ] }, { "cell_type": "markdown", "id": "ae0f8575", "metadata": {}, "source": [ "The object was to measure the voltage at the base of the transmitter (and later on at the base of R2) to determine the characteristics of the transistor. Specifically to estimate the thermal coefficient $V_T$ and the scale current $I_{ES}$. The capacitor was to produce a comparatively slowly changing transistor base voltage with hopefully enough time for me to make measurements using an Arduino. (This has since become slightly more complicated because the Arduino analog inputs have a time lag of 100 $\\mu S$ which may add some measurement bias)." ] }, { "cell_type": "code", "execution_count": 3, "id": "17ce4b69", "metadata": {}, "outputs": [], "source": [ "vcc, r, r1, r2, c, issym, vt, vin, vout, vbe, vc, t = symbols(\"V_{CC} R R1 R2 C I_{ES} V_T V_{in} V_{out} V_{BE} V_C t\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "771d4afc", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - C \\frac{d}{d t} V_{C} - I_{ES} \\left(e^{\\frac{V_{C}}{V_{T}}} - 1\\right) + \\frac{- V_{C} + V_{in}}{R_{1}} = 0$" ], "text/plain": [ "Eq(-C*Derivative(V_C, t) - I_{ES}*(exp(V_C/V_T) - 1) + (-V_C + V_{in})/R1, 0)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqn1= Eq((vin - vc)/r1 - c * Derivative(vc,t) - issym*(sexp(vc/vt)-1),0)\n", "eqn1" ] }, { "cell_type": "markdown", "id": "09b9a562", "metadata": {}, "source": [ "The above is a differential equation for the R1, C and base-emitter junction. $V_C$ is the voltage across the capacitor. Vin is a choice of 0 or 5 Volts as it is connected to one of the outputs of the Arduino digital pins. By turning it on or off I was hoping to sweep through a range of voltages controlled by the time constand of R1 $\\cdot$ C. In my case R1 = 6K8 and C = $100 \\mu F$.\n", "\n", "It's basically a non linear differential equation which is impossible to solve using analytical methods. Hence the attempt to solve it below using numerical methods." ] }, { "cell_type": "markdown", "id": "29143ef7", "metadata": {}, "source": [ "Now I try to build my theoretical model using the equation above and some scientific libraries to integrate the equation to find what the solution would look like over time.\n", "I am basically plotting the voltage across the capacitor as function of time." ] }, { "cell_type": "code", "execution_count": 5, "id": "4e3423e0", "metadata": {}, "outputs": [], "source": [ "vtval = 0.0321850033399526\n", "isval = 1.602564611659814e-12\n", "\n", "def model(t, y, vin, isval, vt):\n", " vcc=vin\n", " r=6800\n", " c=100e-6\n", " \n", " vc = y\n", " try:\n", " vcp = (vcc-vc)/(r*c) - isval * (exp(vc/vt)-1) /(c)\n", " except OverflowError:\n", " #print (vc)\n", " return 1e20\n", " #print (vcp)\n", " return vcp\n", " \n", " " ] }, { "cell_type": "code", "execution_count": 6, "id": "168c3e34-94e1-4399-a682-5e4793d1d94c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "6b52e0bf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Charging of $V_C$ over time(t)')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "for vtvalue in (0.030, 0.0322, 0.034):\n", " teval = np.linspace(0, .4,100)\n", " res1 = solve_ivp(model, (0,.4), (0,),args=(5, 1.6e-12, vtvalue), t_eval = teval, first_step=0.001)\n", "\n", " ax.plot(res1.t,res1.y[0], label=\"$V_T$ = {}\".format(vtvalue))\n", "\n", "ax.grid()\n", "ax.set_xlabel(\"x (secs)\")\n", "ax.set_ylabel(\"Vc (cap)\")\n", "ax.legend()\n", "ax.set_title(\"Charging of $V_C$ over time(t)\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "555f6e1b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Charging of $V_C$ over time(t)')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "for isvalue in (1.6e-11, 1.6e-12, 1.6e-13):\n", " teval = np.linspace(0, .4,100)\n", " res1 = solve_ivp(model, (0,.4), (0,),args=(5, isvalue, 0.0322), t_eval = teval, first_step=0.001)\n", "\n", " ax.plot(res1.t,res1.y[0], label=\"$I_{{ES}}$ = {}\".format(isvalue))\n", "\n", "ax.grid()\n", "ax.set_xlabel(\"x (secs)\")\n", "ax.set_ylabel(\"Vc (cap)\")\n", "ax.legend()\n", "ax.set_title(\"Charging of $V_C$ over time(t)\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "5b459d43", "metadata": {}, "outputs": [], "source": [ "teval = np.linspace(0, 1,100)\n", "res2 = solve_ivp(model, (0,1), (.7,),args=(0,isval, vtval), t_eval = teval, first_step=0.001)" ] }, { "cell_type": "code", "execution_count": 10, "id": "a829b00b", "metadata": {}, "outputs": [], "source": [ "x = res2.t\n", "y = res2.y[0]" ] }, { "cell_type": "code", "execution_count": 11, "id": "c46ad600", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Discharging of C over time(t)')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x,y)\n", "ax.grid()\n", "ax.set_xlabel(\"x (secs)\")\n", "ax.set_ylabel(\"Vc (cap)\")\n", "ax.set_title(\"Discharging of C over time(t)\")" ] }, { "cell_type": "markdown", "id": "7fae56b9", "metadata": {}, "source": [ "The results are unsurprising as the capacitor charges up to ( or discharges from ) 0.7 volts approximately. Anything higher and the transistor conducts so the results are at least realistic." ] }, { "cell_type": "markdown", "id": "551150e0", "metadata": {}, "source": [ "Now I look at the results obtained from direct measurement via the Arduino analog input pin." ] }, { "cell_type": "code", "execution_count": 12, "id": "ea25cc0b", "metadata": {}, "outputs": [], "source": [ "measurements = np.array([[ 0, 19, 0.09], \n", "[ 4, 24, 0.12], \n", "[ 8, 31, 0.15], \n", "[ 12, 36, 0.18], \n", "[ 16, 42, 0.21], \n", "[ 20, 49, 0.24], \n", "[ 24, 53, 0.26], \n", "[ 28, 58, 0.28], \n", "[ 32, 64, 0.31], \n", "[ 36, 69, 0.34], \n", "[ 40, 76, 0.37], \n", "[ 44, 80, 0.39], \n", "[ 48, 86, 0.42], \n", "[ 52, 92, 0.45], \n", "[ 56, 96, 0.47], \n", "[ 60, 101, 0.49], \n", "[ 65, 106, 0.52], \n", "[ 69, 112, 0.55], \n", "[ 73, 115, 0.56], \n", "[ 77, 119, 0.58], \n", "[ 81, 123, 0.60], \n", "[ 85, 125, 0.61], \n", "[ 89, 127, 0.62], \n", "[ 93, 129, 0.63], \n", "[ 97, 129, 0.63], \n", "[ 101, 130, 0.63], \n", "[ 105, 130, 0.63], \n", "[ 109, 131, 0.64], \n", "[ 113, 131, 0.64], \n", "[ 117, 131, 0.64], \n", "[ 121, 131, 0.64],\n", "])" ] }, { "cell_type": "code", "execution_count": 13, "id": "c3d98428", "metadata": {}, "outputs": [], "source": [ "dfmeasure = pd.DataFrame(measurements)\n", "dfmeasure.columns = ['time', 'ADC', 'volts']\n", "# ADC is the measure obtained from Arduino analogRead which returns a value from 0 to 1023.\n", "# I divide that by 1024 and multiply by 5 to get a voltage." ] }, { "cell_type": "code", "execution_count": 14, "id": "79933ebd", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Arduino measure charging of cap across transistor base')\n", "\n", "\n", "ax1 = dfmeasure.plot('time', 'volts', kind='scatter', marker=\".\", ax=ax)\n", "ax1.set_xlabel('Time (mSec)')\n", "ax1.set_ylabel('voltage $V_C$')\n", "\n", "\n", "ax1.grid()" ] }, { "cell_type": "code", "execution_count": 15, "id": "f95dd834", "metadata": {}, "outputs": [], "source": [ "maxidx = np.argmax(res1.t>.120)" ] }, { "cell_type": "code", "execution_count": 16, "id": "538ff5b3", "metadata": { "scrolled": true }, "outputs": [], "source": [ "teval = np.linspace(0.001, .4,100)\n", "res1 = solve_ivp(model, (0.001,.4), (0.09,),args=(5,isval, vtval), t_eval = teval, first_step=0.001)" ] }, { "cell_type": "code", "execution_count": 17, "id": "17d13ab0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Arduino measure charging of cap across transistor base')\n", "\n", "\n", "ax1 = dfmeasure.plot('time', 'volts', kind='scatter', marker=\".\", ax=ax, label=\"measured\")\n", "ax1.set_xlabel('Time (mSec)')\n", "ax1.set_ylabel('voltage $V_C$')\n", "\n", "x = (res1.t*1000)[0:maxidx]\n", "y = res1.y[0][0:maxidx]\n", "ax1.plot(x,y, label='predicted')\n", "ax1.grid()\n", "ax1.legend()" ] }, { "cell_type": "code", "execution_count": 18, "id": "31f79b18", "metadata": {}, "outputs": [], "source": [ "f=interp1d(dfmeasure['time'],dfmeasure['volts'], kind='linear', bounds_error=False, fill_value='extrapolate')" ] }, { "cell_type": "code", "execution_count": 19, "id": "15e7fa23", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Arduino measure charging of cap across transistor base')\n", "\n", "\n", "\n", "ax.set_xlabel('Time (mSec)')\n", "ax.set_ylabel('voltage $V_C$')\n", "\n", "x = (res1.t*1000)[0:maxidx]\n", "y = res1.y[0][0:maxidx]\n", "fy = f(x)\n", "ax.plot(x,y, label='theoretical')\n", "ax.scatter(x, fy, label='experimental')\n", "ax.grid()\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 20, "id": "250d9f4a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Measuring the differential errors of predicted vs experimental')\n", "\n", "\n", "\n", "ax.set_xlabel('Time (mSec)')\n", "ax.set_ylabel('voltage $V_C$')\n", "\n", "x = (res1.t*1000)[0:maxidx]\n", "y = res1.y[0][0:maxidx]\n", "fy = f(x)\n", "\n", "ax.scatter(x, y-fy, label='diff')\n", "ax.grid()\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 21, "id": "6a662408", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{I_{ES} R_{1} \\left(1 - e^{\\frac{V_{C}}{V_{T}}}\\right) - V_{C} + V_{in}}{C R_{1}}$" ], "text/plain": [ "(I_{ES}*R1*(1 - exp(V_C/V_T)) - V_C + V_{in})/(C*R1)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqn2 = solve(eqn1, Derivative(vc,t))[0]\n", "eqn2" ] }, { "cell_type": "code", "execution_count": 22, "id": "5e0e027c", "metadata": {}, "outputs": [], "source": [ "e2 = eqn2.subs([(issym, 1.6e-12),(r1, 6800),(c,100e-6), (vin,5), (vt, .032)])\n", "f2 = lambdify([vc],e2)" ] }, { "cell_type": "code", "execution_count": 23, "id": "63dfe9ab", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - 1.47058823529412 V_{C} - 1.6 \\cdot 10^{-8} e^{31.25 V_{C}} + 7.35294119247059$" ], "text/plain": [ "-1.47058823529412*V_C - 1.6e-8*exp(31.25*V_C) + 7.35294119247059" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "e2" ] }, { "cell_type": "code", "execution_count": 24, "id": "4c3f5307", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7.35294117647059" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f2(0)" ] }, { "cell_type": "code", "execution_count": 25, "id": "d0df8aef", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('$\\\\frac{d}{dt} V_C$')\n", "\n", "\n", "ax1 = ax\n", "ax1.set_ylabel('dVc/dt')\n", "ax1.set_xlabel('$V_C$')\n", "\n", "x = np.linspace(0, .6,100)\n", "y = f2(x)\n", "ax1.plot(x,y)\n", "ax1.grid()" ] }, { "cell_type": "code", "execution_count": 26, "id": "afe5b396", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('$\\\\frac{d}{dt} V_C$')\n", "\n", "\n", "ax1 = ax\n", "ax1.set_ylabel('dVc/dt')\n", "ax1.set_xlabel('$V_C$')\n", "\n", "x = np.linspace(0, .65,100)\n", "y = f2(x)\n", "ax1.plot(x,y)\n", "ax1.set_ylim(0,7)\n", "ax1.grid()" ] }, { "cell_type": "code", "execution_count": 27, "id": "32668090", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - \\frac{V_{C}}{I_{ES} \\left(1 - e^{\\frac{V_{C}}{V_{T}}}\\right)}$" ], "text/plain": [ "-V_C/(I_{ES}*(1 - exp(V_C/V_T)))" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "symid = -eqn2.args[2].args[2]/r1\n", "symrd = vc/symid\n", "symrd" ] }, { "cell_type": "code", "execution_count": 28, "id": "51c634c0", "metadata": {}, "outputs": [], "source": [ "rdf=symrd.subs([(issym, 1.6e-12), (vt,0.0321)])" ] }, { "cell_type": "code", "execution_count": 29, "id": "9143c2ce", "metadata": {}, "outputs": [], "source": [ "f3 = lambdify([vc],rdf)" ] }, { "cell_type": "code", "execution_count": 30, "id": "7c9162d5", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Resistance of diode')\n", "\n", "\n", "ax1 = ax\n", "ax1.set_ylabel('Ohms')\n", "ax1.set_xlabel('$V_D$')\n", "\n", "x = np.linspace(0.01, .6,100)\n", "y = f3(x)\n", "ax1.plot(x,y)\n", "ax1.grid()" ] }, { "cell_type": "code", "execution_count": 31, "id": "ea43e0f4", "metadata": {}, "outputs": [ { "data": { "image/png": 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RoqCQ05aQYNzQohafPtCeSxpV5R8TV3DlszP5euOuoEsTkXygoJB8U7VsCsNvymDETRls33OA7sNm8PiEZfx88EjQpYnIaVBQSL7LbBK6btR1zWvyfNYaMgdnMWv1tqDLEpFTpKCQqChXIom/XXsub/6yJQC9X/ycR977il0/66q0IoWNgkKiqnXdyky8vx13tjuLt+ZtoNMz05i85IegyxKRkxDzQWFmbc1shJm9ZGazgq5HTl6J5EQe6Xo27997ERVKJtP3tQX0e/MLtu05EHRpIhKBQILCzEaa2RYzW5xjfqaZrTCzVWb2MIC7T3f3u4DxwCtB1Cv549wa5RnXrw0PXtaAyUs2c9nT03j/S93zQiTWBTWiGA1kZp9hZonAMKALkA70MrP0bKv0BsYUVIESHcnFErjvkvp82L8NtSuVYsBbC7njlfn8sEuXARGJVYEEhbtnATlvztwCWOXua9z9IDAW6A5gZrWAXe6+u2ArlWipn1qGd+9uze+6nc3M1du4TJcBEYlZFtT/mGaWBox39ybh6R5AprvfEZ7uA7R0935m9kdgkrsf9xiFmfUF+gKkpqZmjB07NuJa9uzZQ+nSpU+5l8Iolnresu8ooxYfYNmPR0mvlMBtjYtTpWR0PsPEUt8FJR57hvjs+3R67tix4wJ3b57rQncP5AGkAYuzTfcEXso23QcYeirbzsjI8JMxZcqUk1q/KIi1no8cOepvzFnnjf8w0Rv97iN/efoaP3LkaL6/Tqz1XRDisWf3+Oz7dHoG5vtx3lNj6aynjUDNbNM1gE0B1SIFLCHB6N2yFpMHtqPlWRX50/ilXPf8bFZv3RN0aSJxL5aCYh5Q38zqmFkycAMwLuCapICdWb4Eo269gKd6NmXl5p/oOng6z09bzWFdZFAkMEGdHjsGmA00NLONZna7ux8G+gGTgGXA2+6+JIj6JFhmxrUZNfjkgdD9uh//aDnXDp/Fys0/BV2aSFwqFsSLunuv48yfAEwo4HIkRlUtm8LzfTIY/9X3/O+4JVw+ZAb9L6nHne3rkpQYS4NhkaJN/7dJTDMzrmh6Jh8PbEenxqk8OXklVw2bybLvdaa0SEFRUEihUKl0cZ7t3YwRNzVj8+79XDF0Bs98vJKDh3XsQiTaFBRSqGQ2qcbHA9vT7dxqDP70G658dgaLv9MNkkSiSUEhhU6FUskMvuF8XuiTwfa9B+k+bCZPTV7BgcO6QZJINCgopNDq1PgMPh7Yju7nncnQz1Zx5VDdflUkGhQUUqiVL5nM09edx8u3NGfnzwe56rmZPDlJowuR/KSgkCLhkrNTmTygPVefX51np4RGF19t3Bl0WSJFgoJCioxyJZN4smdTRt16ATt/PsjVz83iiUnLNboQOU0KCilyOjaq+p/RxbApq3XsQuQ0KSikSDo2uhh5638fuzh0VPe7EDlZgVzCQ6SgXNwolckDKvLnD5fy7JRV1ChtVGu4iybVywVdmkihoRGFFHnZRxd7DkH3YTN5evIKfatbJEIKCokbFzdK5bE2Jeh+3pkM+WyVvtUtEiEFhcSVUknG09edx0s3N2f73oNcNWwmgz5ZySHd70LkuBQUEpcuTU/l44HtuPzcagz65Bu6P6sr0oocj4JC4lb5kskMuuF8nu+TwZaf9nPlszN49rNvdDc9kRwUFBL3Ojc+g8kD25PZpBpPTl7JNbqbnsh/UVCIABVLJTO01/k8d2MzNu74mcuHzGD41NUc0fcuRBQUItl1Pacakwe24+JGVfn7xOX0GDGL1Vv3BF2WSKAUFCI5VC5dnOE3NWPwDeexZuteug6ezkvT13BUowuJUwoKkVyYGd3Pq87HA9vRtn5l/vLhMm54YQ7rtu8NujSRAqegEMlD1bIpvHhzc57s2ZRlP+wmc9B0Xpv9rUYXElcUFCInYGb0yKjB5IHtaJ5Wgd9/sIQ+Iz9n4459QZcmUiBiPijMrIOZTTezEWbWIeh6JH5VK1eCV3/Rgr9efQ4L1+8kc9B0xs5dj7tGF1K0BRIUZjbSzLaY2eIc8zPNbIWZrTKzh8OzHdgDpAAbC7pWkezMjN4tazFxQDuaVC/Lw+99zW2j5/HDrv1BlyYSNUGNKEYDmdlnmFkiMAzoAqQDvcwsHZju7l2Ah4A/FnCdIrmqWbEkb95xIY9ekc6cNdvp9Mw03v/yO40upEgKJCjcPQv4McfsFsAqd1/j7geBsUB3dz92PYUdQPECLFMkTwkJxq0X1eGj+9tRr2ppBry1kLtf/4Jtew4EXZpIvrJIPgGZWV1go7sfCB8nOBd41d13nvILm6UB4929SXi6B5Dp7neEp/sALYHPgM5AeWC4u089zvb6An0BUlNTM8aOHRtxLXv27KF06dKn2kqhFI89Q/T6PurOxLWHeO+bQ5RIglvSi9P8jNi4L5j+1vHjdHru2LHjAndvnutCdz/hA1hI6G549YDVwDPAhEiem8c204DF2aZ7Ai9lm+4DDD2VbWdkZPjJmDJlykmtXxTEY8/u0e97+fe7vduQLK/90HjvP+YL37n3YFRfLxL6W8eP0+kZmO/HeU+NdNfTUXc/DFwNDHL3gUC1U0mtPGwEamabrgFsyufXEImqhmeU4V/3XMSAS+vz4Vff02nQNKas2BJ0WSKnJdKgOGRmvYBbgPHheUn5XMs8oL6Z1TGzZOAGYFw+v4ZI1CUlJjDg0gb8656LKFciidtGzeOR975iz4HDQZcmckoiDYrbgFbAY+6+1szqAK+f6oua2RhgNtDQzDaa2e3hEUs/YBKwDHjb3Zec6muIBO2cGuUY168Nd7Y/i7fmbSBzUBazV28PuiyRkxbR0TZ3Xwr0zza9Fvjbqb6ou/c6zvwJwIRT3a5IrElJSuSRLmfTKT2VB99eRK8X53DbRWk8lNmIlKTEoMsTiUhEIwozu9zMvjSzH81st5n9ZGa6b6RIhDJqV2TC/W25uVVtRs38lq5DprNww86gyxKJSKS7ngYROj5Ryd3LunsZdy8bvbJEip6SycX4U/cmvH57S/YfPMI1z83kyUkrOHhYt16V2BZpUGwgdCqrvnYqcpra1K/MxIHtuKZZDZ6dsoqrhs1k+Q8aoEvsijQofgNMMLNHzOyBY49oFiZSlJVNSeLJnk158ebmbPnpAFcMncFzU1fp1qsSkyINiseAfYQuzFcm20NETsNl6alMHtiOy9JT+cfEFfQcMYu123RzJIktkV5joKK7d4pqJSJxqmKpZIb1bsa4RZv4/fuL6Tp4Oo90bcRNLWuTkGBBlycS8YjiEzNTUIhEybFbr04e2J4WdSryhw+WcPPIuWza+XPQpYlEHBT3AhPN7GedHisSPWeUS2H0bRfw2NVN+GL9DjoPyuLdBRt1+XIJVERBET4dNsHdS+j0WJHoMjNubFmbj+5vS6MzyvDgPxdx52sLdPlyCUzE96Mws+pm1trM2h17RLMwkXhXu1IpxvZtxW+7NmLqiq10fiaLiYt/CLosiUMRHcw2s78D1wNLgSPh2Q5kRakuEQESE4y+7erSoWFVHnh7IXe9voBrmlXnf69oTLkS+X1dTpHcRXrW01VAQ3fX2FckAA1SQ5cvH/rpNwybuprZq7fzRI+mtKlfOejSJA5EuutpDfl/WXEROQlJiQk80Kkh797dmhLJidz08uc8Om4JPx88cuIni5yGPEcUZjaU0C6mfcBCM/sU+M+owt37H++5IhId59Usz4f3teXvE5czeta3ZK3cylPXNeX8WhWCLk2KqBONKOYDC4CPgcHAV4SOUywIP0QkACWSE3n0ysa8eUdL9h86wrXDZ+kCgxI1JwqKN4HGwF8I3bzojvDPTcLLRCRAreuFLjB49fmhCwxe/dxMVvzwU9BlSRFzoqD4B1ABqOPuzdz9fOAsoBzwRLSLE5ETK5uSxFPXNeX5Phn8sGs/VwydwQtZq3WBQck3JwqKy4G+7v6fjyjuvhu4G+gWzcJE5OR0bnwGkwa2o0PDKvx1wnJ6vTiHDT/uC7osKQJOFBSe2z0o3P0IoYPcIhJDKpcuzvN9MniyZ1OWbdpN5qAspm04pEuAyGk5UVAsNbObc840s5uA5dEpSUROh5nRI6MGHw1oy7k1yjNqyUHueGU+W37aH3RpUkidKCjuBe41s6lm9pSZPWlm04D+hHY/iUiMqlGhJG/c0ZLejZKZsWobnZ/J4qOvvw+6LCmE8gwKd//O3VsCfwK+BdYDf3L3Fu7+XQHUJyKnISHB6JSWxIf921CzYknufuMLHnhrIbt+PhR0aVKIRHQJD3f/DPgsyrWISJTUq1qGd+9uzbApqxj62SrmrNnOEz2bclE9XQJETiziq8cGxczONrMRZvaOmWl3l8gpSkpMYMClDXjv7takJCdy40uhS4DsP6RLgEjeAgkKMxtpZlvMbHGO+ZlmtsLMVpnZwwDuvszd7wKuA5oHUa9IUdI0fAmQW1unMXrWt3QbMp1FG3YGXZbEsKBGFKOBzOwzzCwRGAZ0AdKBXmaWHl52JTAD+LRgyxQpmo5dAuT121uy7+ARrhk+i2c+XsmhI7oEiPz/AgkKd88CfswxuwWwyt3XuPtBYCzQPbz+OHdvDdxYsJWKFG1t6ldm4oB2XNn0TAZ/+g3XDp/Fqi17gi5LYowF9UUcM0sDxrt7k/B0DyDT3e8IT/cBWgLvANcAxYGv3H3YcbbXF+gLkJqamjF27NiIa9mzZw+lS5c+9WYKoXjsGeKz70h7nvfDYUYvOcDBI3Bdg2QuqV2MBLMCqDA69Lc+OR07dlzg7rnu3o/0xkUFIbd/ke7uU4GpJ3qyu78AvADQvHlz79ChQ8QvPHXqVE5m/aIgHnuG+Ow70p47ALfs3s9v3v2KN5ZvZd3hsvyjx7mcWb5EtEuMCv2t808snfW0EaiZbboGsCmgWkTiUtWyKYy69QIeu7oJC9btoPOgLP715UZdAiTOxVJQzAPqm1kdM0sGbgDGBVyTSNwxM25sWZuP7m9Lg9QyDHxrEf3e/JIdew8GXZoEJKjTY8cAs4GGZrbRzG5398NAP2ASsAx4292XBFGfiEBa5VK8fWcrft25IZOX/kCnQVlMWbEl6LIkAIEco3D3XseZPwGYUMDliMhxJCYY93asR4eGVRj41kJuGzWPG1vW4n+6nU3J5Fg6xCnRFEu7nkQkRjU+sxzj+rXhl23r8Obc9XQdPJ0v1u8IuiwpIAoKEYlISlIi/9MtnTfvuJBDR5wew2fx1OQV+pJeHFBQiMhJaVW3Eh8NaMvV59dg6Geh+3R/s1n36S7KFBQictKO3ad7xE0ZbNq5n25DZ/DyjLUc1X26iyQFhYicsswmZzBxQFva1KvMn8cv5aaXP2fTzp+DLkvymYJCRE5L1TIpvHxLcx6/5hwWbthJ50FZvP/ld/qSXhGioBCR02Zm9GpR6z9f0hvw1kL6jfmSnfv0Jb2iQEEhIvmmdqX/+5LepMU/0OmZLKat3Bp0WXKaFBQikq+OfUnv/XsvolyJJG4ZOZc/fLCYnw/qTnqFlYJCRKKiSfVy/Pu+Ntzepg6vzl5HtyHTWag76RVKCgoRiZqUpER+f3k6b97Rkv2HjnDt8FkM+kR30itsFBQiEnWt61Xmo/Cd9AZ98g09RsxmzVbdSa+wUFCISIEoVyKJZ64/j2G9m7Fu+166DpnOa7O/1Wm0hYCCQkQKVLdzqzFpQDta1KnE7z9Ywi2j5rF59/6gy5I8KChEpMCllk3hldsu4E/dGzN37XY6D8piwtffB12WHIeCQkQCYWbc3CqND/u3pXbFktzzxhc88NZCdu8/FHRpkoOCQkQCVbdKad65uzX3X1KfDxZtIvOZLGav3h50WZKNgkJEApeUmMDAyxrwzl2tKJ6USO+X5vCX8UvZf0hf0osFCgoRiRnn16rAh/3bcGPLWrw0Yy3dn53J0k27gy4r7ikoRCSmlEwuxl+uOodRt13Aj/sO0n3YDEZMW80R3esiMAoKEYlJHRtWZdKAdlzSKJW/fbScXi/OYcOP+4IuKy4pKEQkZlUslczwm5rxZM+mLN20my6Dp/POgo36kl4BU1CISEwzM3pk1OCj+9uSXq0sv/rnIu5+/Qt+3Kt7XRQUBYWIFAo1K5ZkTN8LebhLIz5dvpnOg7KYsmJL0GXFhZgPCjM7y8xeNrN3gq5FRIKVmGDc1b4uH9zbhgolk7ht1Dx+/77udRFtgQSFmY00sy1mtjjH/EwzW2Fmq8zsYQB3X+PutwdRp4jEpvQzyzKuX+heF6/N0b0uoi2oEcVoIDP7DDNLBIYBXYB0oJeZpRd8aSJSGGS/18XP2e51cVj3ush3FtTZA2aWBox39ybh6VbAo+7eOTz9CIC7Px6efsfde+Sxvb5AX4DU1NSMsWPHRlzLnj17KF269Cl2UjjFY88Qn33HQ897DzmvLz3A7O+PcFa5BPqeW5zSvq/I953T6fytO3bsuMDdm+e2rNhpVZW/qgMbsk1vBFqaWSXgMeB8M3vkWHDk5O4vAC8ANG/e3Dt06BDxC0+dOpWTWb8oiMeeIT77jpeeu10G/160if/519f8cc5Brm9QnP/t1h4zC7q0AhOtv3UsHczO7a/p7r7d3e9y97rHCwkREYArmp7JpIHtyKhdgdFLDnLHK/PZ+tOBoMsq9GIpKDYCNbNN1wA2BVSLiBRS1cqV4NVftKB3o2Smr9pG5qAsPl66OeiyCrVYCop5QH0zq2NmycANwLiAaxKRQighweiUlsT4+9qQWjaFX746n4ff/Yq9Bw4HXVqhFNTpsWOA2UBDM9toZre7+2GgHzAJWAa87e5LgqhPRIqGBqlleP/ei7i7Q13emr+BLoOns2Ddj0GXVegEEhTu3svdq7l7krvXcPeXw/MnuHuD8PGIx4KoTUSKluRiCTyU2Yi3+rbiqDs9R8zmqckrOKTTaCMWS7ueRESipkWdinx0f1uuaVaDoZ+t4prnZrFqy56gyyoUFBQiEjfKpCTxZM+mDL+xGRt27OPyodN5dfa3uhrtCSgoRCTudDmnGpMHtKNlnUr84YMl3DpqHlt27w+6rJiloBCRuFS1bAqjb7uAP3VvzJw12+k8KIuJi38IuqyYpKAQkbhlZtzcKo0P+7elRoWS3PX6An79z0Xs0Wm0/0VBISJxr17V0rx7d2v6dazHu19spMvgLOZ/q9Noj1FQiIgQOo32V50b8vadrQC47vnZPDFpOQcP6zRaBYWISDbN0yoyoX9bemTUYNiU1VwzfCartvwUdFmBUlCIiORQJiWJf/RoyoibMvhux890GzIjrk+jVVCIiBxHZpMzmDSgHReeFd+n0SooRETycOw02j93b8zna4+dRvt90GUVKAWFiMgJmBl9WqUx/r5jp9F+wa/+uYif9h8KurQCoaAQEYlQvaqlee+e0Gm0732xka5DpsfFabQKChGRk5CUGH+n0SooREROwbHTaK9tFjqN9trhRfdqtAoKEZFTVCYliSd6NmXETc3YGL4a7WtF8DRaBYWIyGnKbFKNSeGr0f7+gyXcNnoeW34qOqfRKihERPLBsdNo/3hlY2av3k7moOlMWlI0rkaroBARySdmxi2t0/iwfxvOLJ/Cna8t4KF3vmJvIb8arYJCRCSf1atahvfuvoh7OtTl7QUb6DpkOgvW7Qi6rFOmoBARiYLkYgn8JrMRb/VtxeEjTs8Rs3j645UcOlL4TqNVUIiIRFGLOhWZOKAtV51fnSGffkOP4bNYs7VwnUaroBARibIyKUk8fd15PHdjM77dvo9uQ2bwxufrCs1ptDEfFGZ2lpm9bGbvBF2LiMjp6HpO6DTajNoV+J9/LeaOV+azbc+BoMs6oagGhZmNNLMtZrY4x/xMM1thZqvM7OG8tuHua9z99mjWKSJSUM4ol8Krv2jBHy5PZ/qqbXR+JotPlm4Ouqw8RXtEMRrIzD7DzBKBYUAXIB3oZWbpZnaOmY3P8aga5fpERApcQoLxizZ1+He/NlQpU5w7Xp3Pb//1NfsOxuZptBbtfWRmlgaMd/cm4elWwKPu3jk8/QiAuz9+gu284+498ljeF+gLkJqamjF27NiIa9yzZw+lS5eOeP2iIB57hvjsOx57hsLT96GjzrsrDzHp20NULWnc2bQ4Z5VLPKVtnU7PHTt2XODuzXNd6O5RfQBpwOJs0z2Al7JN9wGezeP5lYARwGrgkUheMyMjw0/GlClTTmr9oiAee3aPz77jsWf3wtf3rFXbvNVfP/GzHvnQh3yy0g8dPnLS2zidnoH5fpz31CAOZlsu8447rHH37e5+l7vX9ROMOkRECqtWdSvx0YB2dDunGk99vJLrX5jD+u37gi4LCOasp41AzWzTNYBNAdQhIhJTypVIYkiv8xl8w3ms3PwTXQZn8c/5GwI/jTaIoJgH1DezOmaWDNwAjAugDhGRmNT9vOpMHNCOJtXL8et3vuLu179gx96DgdUT7dNjxwCzgYZmttHMbnf3w0A/YBKwDHjb3ZdEsw4RkcKmevkSvPnLC3mkSyM+Xb6ZzoOyyFq5NZBaikVz4+7e6zjzJwATovnaIiKFXWKCcWf7urSpX5kBYxdy88i53HZRGg9lNiIl6dTOjDoVMf/NbBGReNf4zHL8+7423No6jVEzv+XKZ2ewdNPuAnt9BYWISCGQkpTIo1c25tVftGDnvkNcNWwmL2St5ujR6B/oVlCIiBQi7RpUYdKAdlzcqCp/nbCc3i/N4budP0f1NRUUIiKFTIVSyQy/qRn/6HEuX2/cReagLMYtit63DBQUIiKFkJlxXfOaTLi/LfWrlqb/mC8ZsWg/u/cfyvfXUlCIiBRitSuV4u07W/HAZQ1Yu+torpe+OF1RPT1WRESir1hiAv0vqc/ZtpEyKUn5vn2NKEREioikhGiMJxQUIiJyAgoKERHJk4JCRETypKAQEZE8KShERCRPCgoREcmTgkJERPJkQd9iLxrMbCuw7iSeUhnYFqVyYlU89gzx2Xc89gzx2ffp9Fzb3avktqBIBsXJMrP57t486DoKUjz2DPHZdzz2DPHZd7R61q4nERHJk4JCRETypKAIeSHoAgIQjz1DfPYdjz1DfPYdlZ51jEJERPKkEYWIiORJQSEiInmKm6Aws0wzW2Fmq8zs4VyWm5kNCS//ysyaBVFnfoug7xvD/X5lZrPMrGkQdeanE/Wcbb0LzOyImfUoyPqiJZK+zayDmS00syVmNq2ga8xvEfz7Lmdm/zazReGebwuizvxkZiPNbIuZLT7O8vx/L3P3Iv8AEoHVwFlAMrAISM+xTlfgI8CAC4HPg667gPpuDVQI/9ylsPcdSc/Z1vsMmAD0CLruAvpblweWArXC01WDrrsAev4t8Pfwz1WAH4HkoGs/zb7bAc2AxcdZnu/vZfEyomgBrHL3Ne5+EBgLdM+xTnfgVQ+ZA5Q3s2oFXWg+O2Hf7j7L3XeEJ+cANQq4xvwWyd8a4D7gXWBLQRYXRZH03Rt4z93XA7h7Ye89kp4dKGNmBpQmFBSHC7bM/OXuWYT6OJ58fy+Ll6CoDmzINr0xPO9k1ylsTran2wl9EinMTtizmVUHrgZGFGBd0RbJ37oBUMHMpprZAjO7ucCqi45Ien4WOBvYBHwN3O/uRwumvMDk+3tZsdMqp/DI7UayOc8LjmSdwibinsysI6GgaBPViqIvkp4HAQ+5+5HQB80iIZK+iwEZwCVACWC2mc1x95XRLi5KIum5M7AQuBioC3xsZtPdfXeUawtSvr+XxUtQbARqZpuuQegTxsmuU9hE1JOZnQu8BHRx9+0FVFu0RNJzc2BsOCQqA13N7LC7v18gFUZHpP/Gt7n7XmCvmWUBTYHCGhSR9Hwb8DcP7bxfZWZrgUbA3IIpMRD5/l4WL7ue5gH1zayOmSUDNwDjcqwzDrg5fMbAhcAud/++oAvNZyfs28xqAe8BfQrxJ8vsTtizu9dx9zR3TwPeAe4p5CEBkf0b/wBoa2bFzKwk0BJYVsB15qdIel5PaASFmaUCDYE1BVplwcv397K4GFG4+2Ez6wdMInSmxEh3X2Jmd4WXjyB09ktXYBWwj9AnkUItwr7/AFQCngt/wj7shfiKmxH2XORE0re7LzOzicBXwFHgJXfP9RTLwiDCv/WfgdFm9jWhXTIPuXuhvvS4mY0BOgCVzWwj8L9AEkTvvUyX8BARkTzFy64nERE5RQoKERHJk4JCRETypKAQEZE8KShERCRPCgoREcmTgkIkCsysXvjc/ezzipvZWjNLD6oukVOhoBCJjjVATTPL/v9YX2Cauy8NqCaRUxIX38wWKWjuftTM1gNpwBozKwE8SOgbtSKFikYUItGzjNAF6ADuBca5+7fBlSNyajSiEImeZUDD8FVa7yV0tzHMbB7wOVAWmOLuo4IrUeTENKIQiZ5jI4r7gTfcfbOZ1SR0a8p+7n4z0MfMEgOtUuQENKIQiZ5lwMPApYTucQyhGwctyLbOPkJXchWJWRpRiETPCuAc4AV33xWe95+gMLOmwHrXJZwlxmlEIRIl7n6A////sQygkpkdAI4ADxV4YSInSfejEBGRPGnXk4iI5ElBISIieVJQiIhInhQUIiKSJwWFiIjkSUEhIiJ5UlCIiEieFBQiIpInBYWIiOTp/wHwbT8VF75xlQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Resistance of diode')\n", "\n", "\n", "ax1 = ax\n", "ax1.set_ylabel('Ohms')\n", "ax1.set_xlabel('$V_D$')\n", "\n", "x = np.linspace(0.01, 1,100)\n", "y = f3(x)\n", "ax1.semilogy(x,y)\n", "ax1.grid()" ] }, { "cell_type": "code", "execution_count": 32, "id": "98ef5be4-8f42-4932-bdd1-5eb379d4405e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HH4XffnM7njEmwFijyKdCQuD+gWEkfVeQjh2Fkfoc17x+D/GVu8HUqdjt3cYYb1mjyOfKl4fZnxVkzhxILl2HJscX83j/36g16DF7UpIxxivWKIJEly6Q+G04/QeEMJ7Habb3U5Y2ewr69rXLaY0xWbJGEUQuvxymvCmsWAHnypemDUvp+25rfrm6Cbz6KqSmupzQGOOPrFEEoeuvh6nTv+bJJ+GD0HuofXorcY+sQxs0hJUr3Y5njPEz1iiCVIEC5xk7FuLjhUr1i9OTODp99woHWt8Nd98Nhw+7HdEY4yesUQS5+vVh/Xrh5ZdhWciNRBXYw+txpTlfoxZMmGCHo4wx1iiM85ykoUMhIUFo3rogD56bQIuwdSQOfQsaNYLVNhajMcHMGoX5rypVYNEieP99+Ca0Ng3CEhiz/15Ot7wR+vSB5GS3IxpjXGCNwvwPEecURVKS0P2OEEafeJRGpX9g3Yd7oWZNeOMNu1nPmCBjjcJkqEwZ+PBDWLgQUi4ry3XnV/FgkemcHPwENG0Kmze7HdEYk0esUZgstW8PO3fCgw8Kkw7dRlTJI8zfUwuuuQaGDLGxo4wJAtYozEVFRDj3461dKxQvX4Rbf3ufHldv4qfJH0OtWvDRRzaUuTH5mDUK47WmTeHrr2HMGPhkfwy1ix5gRuG/ob16QZs28M03bkc0xviANQqTLQUKwKhRsHUrRNUNo+/3T9O21g/s3XAU6taFp5+GP/90O6YxJhdZozA5Urs2rFoFkybBhh8rEp26lfFR00j951inYXzxhdsRjTG5xBqFybGQEBg82Hl43k1thMe33k3T6sfYero2tG0Ld90FR464HdMYc4msUZhLFhkJc+fCrFlw4HgxGh+ay8jrVvHH7AXOye4334Tz592OaYzJIWsUJleIQPfukJQEffoIz69pSb0rj7Ki8r0waBC0aAE7drgd0xiTA9YoTK4qWRKmTYOlS+F8aAFit02g//Xf8OvuZGfcqOHD4dQpt2MaY7LBGoXxiRtvdHYgnngC3lldnaiwb5jTagK8+CJERzuDShljAoLfNwoRaSkiU0RkqoisdTuP8d5ll8ELL8CmTXBlZAhdlz1AlxZH+TH0KueW7x497GS3MQHAlUYhItNFJFlEEtLNbyciu0Vkj4iMAFDVr1R1EDAfeNeNvObSNGwIGzY4OxOL4ksTdXQFb3b8jPNzPnWus33rLTvZbYwfc2uPYgbQLu0MEQkFJgHtgSigp4hEpVnlLmBmXgU0uSssDIYNcw5HNW4sDJrfkdb1j7G7xq0wcCC0auUMKmWM8TuiLo3RIyKVgfmqGu2ZbgaMVtWbPdMjAVR1nIhcBfxDVftnsb0BwACAsmXLxsTFxXmdJSUlhYiIiJyWEpDcrFkVPv+8HG+8UY3Tp0MY3HQpz229i0J/nOCHnj354e67OV+ggE/e2/7WwSMY676UmmNjYzerauMMF6qqKy+gMpCQZrobMDXNdG/gdc/PY4Dm3m47JiZGs2P58uXZWj8/8IeaDx9W7d5dFVTr1j6rG9o/7UxUr67qo3z+UHdeC8aaVYOz7kupGYjXTD5T/elktmQwTwFU9WlVtRPZ+Uy5cs5Nep9+CsdOhNFs8Wgevf17Tp0tALGx0K8fHDvmdkxjgp4/NYqDQMU005HAIZeymDzUubMzDMjAgfDKnEpE63YW3zEN3n3XOdk9c6YNY26Mi/ypUWwCqotIFREpAPQA5rmcyeSRYsVg8mT46isoWCiEdrPu4572yfx8ZT1nzKhbboH9+92OaUxQcuvy2JnAOqCmiBwUkX6qmgoMARYDScAsVbXLYIJMixbOEOZPPQUzF5Wk9sElfNT7c3TlKoiKgldesWd2G5PHXGkUqtpTVcurariqRqrqNM/8hapaQ1WrqepYN7IZ9xUqBM884zwkqWpVodf77bjl2qPsb9IdHn3UeYLS1q1uxzQmaPjToSdj/kfdurB2rfMY1lWbClNn4zu81mcz5/YfhMaNnXGjfv/d7ZjG5HvWKIxfCw2Fhx5y7sVr1Up4+N1GXHfVARI6Penc6l2vHixb5nZMY/I1axQmIFSqBAsWwAcfwHf7w2g0/5+M6r2P0xR0RiC87z67lNYYH7FGYQKGCPTq5TzzokcPeOb9yjQI28HqXm/Ae+85l9LOmmWX0hqTy6xRmIBTurTTFxYtgj/+DKHlh4MYfPsRTlxZC+6807kx4+BBt2Mak29YozAB6+abISEBhg6FNz92RqWd1/cT+PJL51LayZNtVFpjcoE1ChPQIiLg5Zedq6NKlhQ6v3Mbd7b+iZ8atoMHHnBGpd21y+2YxgQ0axQmX2jSBDZvhrFjYe6XEdTe8W/e6bca3ZkI9evDs8/CmTNuxzQmIFmjMPlGeDg8+SRs2wbR0cJ9067jpujDfNdmEPzjH9C4MUWTktyOaUzAsUZh8p2aNWHFCpgyBeK3FyT6y1f5V58EUn85TqMhQ5y7u0+dcjumMQHDGoXJl0JCnNFoExOdk95PvFuHa0vvZXGLh5zxourWhaVL3Y5pTECwRmHytQoV4JNPYPZsOJwcyi2rX2Z4zx/4PbQotGnjPPPi11/djmmMX7NGYfI9Eeja1dm7aN/+MC/OrEi981tY1vNt55kXUVEwZ47bMY3xW9YoTNAoUQIef/wbli0DCQnhxpn306/jT/xapobTSbp2hcOH3Y5pjN+xRmGCTmwsbN8OI0bAu/NLUTt5Bf+56xN0/gJn72L6dBsGxJg0rFGYoFS4MIwbB/HxEBkp3PHRbdzW4mcO1rzROW/Rti3s2+d2TGP8gjUKE9QaNID16+Gll+CLdRFEJf6HN3qs5Pz6jRAd7TwMw56oZ4KcNQoT9MLC4LHHnHGjmjQRBse1olWtZJIa94ZHHoGWLZ0z4cYEKWsUxnhUrQpLlsCMGZD4XUEarH+DZ7pu5czufdCwoTMMyNmzbsc0Js9ZozAmDRHo08d55kWXLsKoj+vTqMwB1rcc9t9hQNi82e2YxuQpaxTGZKBsWYiLg3nz4PipMJove5aHO+7h5E+/OyMQjhgBf/zhdkxj8oRXjUJEqolIQc/PrUXkIRG53KfJ/v+9W4vIVyIyRURa58V7GnPBrbc6z+sePBgmLqhGdPhuPr/xJXjhBedM+FdfuR3RGJ/zdo/iY+CciFwNTAOqAB/l9E1FZLqIJItIQrr57URkt4jsEZERntkKpACFAHtsmclzxYrB66/D6tVQpGgIHZY8wl2xh0n+o6jzvIshQ+DkSbdjGuMz3jaK86qaCnQBJqjqUKD8JbzvDKBd2hkiEgpMAtoDUUBPEYkCvlLV9sBwYMwlvKcxl6R5c9iyBZ5+GmavLkfUqU283+Y9dNJk51LaJUvcjmiMT3jbKM6KSE+gDzDfMy88p2+qqquAY+lmXwvsUdW9qnoGiAM6q+qFZ1n+ChTM6XsakxsKFoTRo52GUb2GcM8XvWl37S98H3a1M0xt3742yKDJd0S9GKrA881+ELBOVWeKSBXgTlV9PsdvLFIZmK+q0Z7pbkA7Vb3fM90baAIsA24GLgfeUNUVmWxvADAAoGzZsjFxcXFeZ0lJSSEiIiKnpQSkYKwZcrfuc+dg7twKTJ1aBT0vDKvzEaO23Me5EsX4ZuhQfmnRIlfe51LZ3zp4XErNsbGxm1W1cYYLVdWVF1AZSEgz3R2Ymma6NzAxJ9uOiYnR7Fi+fHm21s8PgrFmVd/UvX+/aocOqqB6bZ0U3VajmzNx552qycm5/n7ZZX/r4HEpNQPxmslnqrdXPXUUkS0ickxETojISRE5kaO2lbmDQMU005HAoVx+D2Ny3VVXwfz5MHMm7EsuQszeWTx1/Vf8OWehM8hgXJwNMmgCmrfnKCbgnJ8oparFVLWoqhbL5SybgOoiUkVECgA9gHm5/B7G+IQI9Ojh3KjXq5cwdmUL6lc4ysrSXaFnT+jSBQ7Z9x4TmLxtFAdwDhPlytciEZkJrANqishBEemnzlVVQ4DFQBIwS1V35sb7GZNXSpVyhgBZsgTOSkFa75rCwKZb+W3ReqhTx1loexcmwIR5ud4TwEIRWQmcvjBTVV/OyZuqas9M5i8EFuZkm8b4kzZtYMcO51LaV16pz2elDzKp9Gi69O3rHIp6802oVMntmMZ4xds9irHA7zg3vRVN8zLGZKJIEWf48g0b4IryYdye+CxdG+zh8Kpvnfsu3ngDzp+/+IaMcZm3exQlVbWtT5MYk081bgybNsH48TB6dDW+LPAtL0VOoN/gwcisWTB1KlSr5nZMYzLl7R7FUhGxRmFMDoWHO+MIbt8ODRqF0D/pUW6o+SPfxh+HunVhwgR7QJLxW942igeARSLyhw8vjzUm36tRA5Ytg7ffhi1HrqTe2c08X+kNzg4d5jwgKSnJ7YjG/IVXjcJzOWyIqhb24eWxxgSFkBC4/36nJ9zSURi5qw/XXPUTm3cWch6Q9PzzkJrqdkxj/svr51GISAURaS4irS68fBnMmPyufHmYPRs++QSOppbk2pQvGXbVv/l95D+hWTPn2azG+AFv78x+AVgDPAUM87we92EuY4LGbbc5z7zo31946dvO1C2bzNJvK0GjRvDMM/b4VeM6b/cobgNqqmoHVb3V8+rkw1zGBJXLL4cpU2DlSggrHkGb47O5N/ILfhk1Aa65xhmu1hiXeNso9nIJw4obY7zTqhVs2wZPPgkfHrieqOI/8u/vm6CNr3Ge2X369MU3Ykwuy7JRiMhEEXkN52a7rSLypoi8duGVNxGNCS6FCsHYsbB5M1SqUYgex9+k05WbOPDsDIiJcW7KMCYPXWyPIh7YDHwBvApsBxI98zb7Npoxwa1ePVi3Dl55BZYda0hU4X1MOtiZ802aOTdl/Pmn2xFNkLhYo/gIqAM8C/QF7vf8HM0lPDPbGOOd0FB45BHnZHfzlmEMOT6WFmV2sfOFz5xLadetczuiCQIXaxQvAiWAKqraSFUbAlWB4sC/fB3OGOOoXBkWLYL334dvzl1Nw7AdjD40gNPNY+Hxx+GPP9yOaPKxizWKjsAAVT15YYaqngD+Btziy2DGmP8lAnff7dyo1/2OEMacGErDEvtYO34t1K8Pq1e7HdHkUxdrFJrRMyhU9Rxgg+ob44IyZeDDD2HBAjhVtDwtZA1DjjzFyZYdnONUp065HdHkMxdrFIkick/6mSJyN7DLN5GMMd7o0ME5d/Hgg8LklN5ERexn/qt7nLPgK1e6Hc/kIxdrFA8AD4jIChEZLyIveR5e9BDO4SdjjIsiIuDVV2HtWuHyyiW4lfn0/GkCya27w5AhkJLidkSTD2TZKFT1R1VtAvwT+B74Afinql6rqj/mQT5jjBeaNnXuu3jmGZhztiO1Cu5jxqRTaHRdLv/6a7fjmQDn7eixy1R1oqq+pqpf+jqUMSb7ChSAp56CbduEOtcUoS/v0Db5A4o99joMHgwnT158I8ZkwOvRY40xgaFWLecUxeTJsCGsOXVCk3jpjSKkRjeAL75wO54JQNYojMmHQkLgb3+DxEShUZOTDONfNP1pLlvbDoMBA+CEPXfMeM8ahTH5WGQkPPtsArNmwYHidWgsmxn5dlX+iIqBxYvdjmcChN83ChGpLSJTRGS2iNiVVsZkkwh07w5JSUKfvqE8zwjqJS9lRbtxzqP2jh93O6Lxc640ChGZLiLJIpKQbn47EdktIntEZASAqiap6iDgDqCxG3mNyQ9KloRp02DpUtCKFYllBf2nNeXXqOvg88/djmf8mFt7FDOAdmlniEgoMAloD0QBPUUkyrOsE7AasCuujLlEN94I23eE8MQT8E5oP6KSl/Nxh6lo3/vgt9/cjmf8kCuNQlVXAcfSzb4W2KOqe1X1DBAHdPasP09VmwO98japMfnTZZfBCy/Axo1C+ehSdONjbp/RiR9r32R7F+YvJIOhnPLmjUUqA/NVNdoz3Q1op6r3e6Z7A02A2cDtQEFgu6pOymR7A4ABAGXLlo2Ji4vzOktKSgoRERE5LyYABWPNEJx1X6zmc+eEWbMiefedShRM/Z0XdRgdbz7AviGDSQ3gfyv7W2dPbGzsZlXN+PC+qrryAioDCWmmuwNT00z3BibmZNsxMTGaHcuXL8/W+vlBMNasGpx1e1vzt9+qxl5/TkG1FSt11xUtVRcs8G04H7K/dfYA8ZrJZ6o/XfV0EKiYZjoSOORSFmOCztVXw5fLQ5g2DbYXbU79o18w9pY1nO1zv527CHL+1Cg2AdVFpIqIFAB6APNczmRMUBGB++6DpG/C6Nw1jKcYS8x7D7Gxei9YuNDteMYlbl0eOxNYB9QUkYMi0k9VU4EhwGIgCZilqjvdyGdMsCtXDv79n1DmzoVjV9Si2c/zGHrLblJ6DbS9iyDk1lVPPVW1vKqGq2qkqk7zzF+oqjVUtZqqjnUjmzHm/3XqBDu/KcDAATCBoUR/NJLF1Qbb3kWQ8adDT8YYP1S8OEx+M5SvvoJClcrS7thH3HPLz/zc80HbuwgS1iiMMV5p0QK27irMP0amMjOkF7XjRvFR1afQBbZ3kd9ZozDGeK1QIfjnc2Fs2RZKtejC9Pr1dW7pCPu7P257F/mYNQpjTLZFR8OarRG8Oj6VVeE3Umf2aF6r/DLnPrO9i/zIGoUxJkdCQ+GhR8PY+W1BWjU/x8PH/8l1nUqScNtTtneRz1ijMMZckkqVYMHq4nzwzln2FK5Lo7mjGHXVDE7Ps+dd5BfWKIwxl0wEet0bzq4finBn+xM8c/IRGnS+ijUdx9nzLvIBaxTGmFxTujS8v7A0iz47wx/Fy9FiwUgeqPApJz62Z3UHMmsUxphcd3PHAiQcLMHQnkeYcupuorrVZl6b12zvIkBZozDG+EREBLz8UTnWrUqlZJlQOi99iDvKr+JI3Aq3o5lsskZhjPGpa1sWJP5geZ4deIC5f95M7Z71mX79u+jxE25HM16yRmGM8bkCBeDvUyqybYtSN/JX+q3qw01ld/Dde2vcjma8YI3CGJNnatUvyIr9VZnyxF7iz9ajbp+G/Kvpx6T+etLtaCYL1iiMMXkqJAQGvlCVxN1htK22lyc2dOXacvv5espGt6OZTFijMMa4osLVhfnk22hmP7uLw+eu4Nq/NeKJhl/we3KK29FMOtYojDGuEYGuf69F4v4I+kbH86+tbahb4Re+HL/V7WgmDWsUxhjXlahwGW/vaMqyV3cQIspNjzfgvtrrOPaD7V34A2sUxhi/EftQXbYfvoIRjZfy3q5rqF31T2aNTkTV7WTBzRqFMcavFC51GeM23UT81G1UDD3MnWOi6FwtgYPf/uF2tKBljcIY45ca9IthfXJVXrruE5buq0pUzXNMfuw7zp93O1nwsUZhjPFbYcWL8NjqLiR8sI0mBbfywMvVaFVxH0lb/nQ7WlCxRmGM8XtVezVjyU/1mRH7LomHitMgJoRnBhzgzBm3kwUHv28UIlJVRKaJyGy3sxhj3CPFitJnWR+S/rOT2wt/zqi3K9KowhHWrzztdrR8z5VGISLTRSRZRBLSzW8nIrtFZI+IjABQ1b2q2s+NnMYY/1O2W0tmHo5lfruJnPj5DM1bh/Nwj584aaOA+IxbexQzgHZpZ4hIKDAJaA9EAT1FJCrvoxlj/F6xYtzy+YPsnPMNDxR5l4n/LkOdyN9YOPes28nyJVcahaquAo6lm30tsMezB3EGiAM653k4Y0zAKNrlJib+eDurb3meiBOHuOW2cHq1/4WjR91Olr+IunQni4hUBuararRnuhvQTlXv90z3BpoATwNjgTbAVFUdl8n2BgADAMqWLRsTFxfndZaUlBQiIiJyXkwACsaaITjrDpaaI1ZvYu6487zw+1AiCp6m78DddLwtBRG3k+WdS/lbx8bGblbVxhkuVFVXXkBlICHNdHecRnBhujcwMSfbjomJ0exYvnx5ttbPD4KxZtXgrDuoaj52TBM6jdRmrFFQbdvshO7d63aovHMpf2sgXjP5TPWnq54OAhXTTEcCh1zKYowJRCVKUGfuc6z+5GcmFB7G2nUQXfMMr7x0jnPn3A4XuPypUWwCqotIFREpAPQA5rmcyRgTgEJu60TMzBYkdhpJ7NklPDoslGYNfmf7dreTBSa3Lo+dCawDaorIQRHpp6qpwBBgMZAEzFLVnW7kM8YEvtTixak493U++89pZhYdwPcJKcQ0PMffR57nT7uxO1vcuuqpp6qWV9VwVY1U1Wme+QtVtYaqVlPVsW5kM8bkL9KtKz2+G0vSrcPpdf59nns+hPq1T7NqldvJAoc/HXoyxhjfKFOGUnOnM2NmIZYU7crZ7w9x/fUwaOB5jh93O5z/s0ZhjAkOItCjB22+mcSODsN5jJd4+y2ldo1UPv3U7XD+zRqFMSa4lCtHkfn/5qX3yrIh4iauOJpIly7Q9Xbl8GG3w/knaxTGmOAjAr1703jXB2xq+3fGMYKFc89Qu+Y5pk7FnqiXjjUKY0zwqlCB8M/nMWJaDbYXbkqDU2vp3x9iY5Vvv3U7nP+wRmGMCW4icN99VE+cy7IbnuUt+rN1zSnq1lWefx7O2jiD1iiMMQaAq64iZMki+k9pTFJ4fTqem8vIkXDNNUp8vNvh3GWNwhhjLhCBgQMpv3Mps1u8yhy6kLzrGE2aKI8/DqdOuR3QHdYojDEmvSpV4Msv6fLaDSSG1KV/2AzGj4e6dZUvvnA7XN6zRmGMMRkJCYEHH+Ty7auYcs00VtKK8ORDtG0L994Lv/zidsC8Y43CGGOycvXVsHIlrV7qzLazUfy90Hg+/OA8tWtDXFxwXEprjcIYYy4mNBQee4xC2zbwbL1ZxJ9rSOXUPfTsCZ06wYEDbgf0LWsUxhjjrVq1YM0a6j/Xg3UpdXk5YhTLvkglKgomTYLz590O6BvWKIwxJjvCwmDkSEI3b2Ro9fkknK5O86LbGTIEWrSAxES3A+Y+axTGGJMTdevChg1UGdOXRckxvF98CN/sPEODBjB6NJw+7XbA3GONwhhjcio8HEaNQjZu4O6KK0k6UYHuFdcxZgw0agRr17odMHdYozDGmEvVqBHEx1NmZH8+/L4FC0vfQ8rPf9CiBQwZAidOuB3w0lijMMaY3FCwIDz3HKxdS/tSG9mZXIYH6yxj8mSlTh2YP9/tgDlnjcIYY3JTkyawZQsRjw7k1Z03sbZcV4qHneLWW6FHD0hOdjtg9lmjMMaY3Fa4MIwfDytX0vSy7Xz9fQnGNP2cTz5RateGd98NrBv1rFEYY4yvtGwJ27ZRYMhARq3vwNbyHagdeYJ774W2bWHvXrcDescahTHG+FKRIjBxInz5JbVJYtWOkkxu8wkbNijR0c6OR2qq2yGz5veNQkSqisg0EZntdhZjjMmxG26A7dsJ6deXv31xO4nlbuSmxr/x+OPQtCls3ep2wMz5tFGIyHQRSRaRhHTz24nIbhHZIyIjstqGqu5V1X6+zGmMMXmiWDF4+21YuJDIU7uZu6Y0s7r9mwMHlMaNYeRI+OMPt0P+la/3KGYA7dLOEJFQYBLQHogCeopIlIjUFZH56V5X+DifMcbkvfbtISEB6XUX3Wf3IOmK1vTpdIznn4d69WDFCrcD/i9RH596F5HKwHxVjfZMNwNGq+rNnumRAKo67iLbma2q3bJYPgAYAFC2bNmYuLg4rzOmpKQQERHh9fr5QTDWDMFZdzDWDIFTd+nVq6nx8suEnTzJh22eZ8TWv3Ho8GXccsshBg7cS9Gi3p/AuJSaY2NjN6tq4wwXqqpPX0BlICHNdDdgaprp3sDrWfx+KWAK8B0w0pv3jImJ0exYvnx5ttbPD4KxZtXgrDsYa1YNsLqPHlXt3l0V9FRMSx12388aEqJarpzqxx97v5lLqRmI10w+U904mS0ZzMt0t0ZVf1HVQapaTS+y12GMMQGpdGmYNQvi4rhs305e/CiSTY98SPnySteu0KUL/Pije/HcaBQHgYpppiOBQy7kMMYY/3LnnbBzJ7RtS6OX72ZjkRt4cfgvLFoEUVHw5pvuPPPCjUaxCaguIlVEpADQA5jnQg5jjPE/5crBp5/CjBmE7djCsIlXsWP4BzRurAwaBK1bw+7deRvJ15fHzgTWATVF5KCI9FPVVGAIsBhIAmap6k5f5jDGmIAiAn36QEICtGjB1WN6s5Q2THvxF3bscK6MGjsWzpzJmzg+bRSq2lNVy6tquKpGquo0z/yFqlrDc95hrC8zGGNMwIqMhEWLYMoUZMN67nu2KkmjZtK5s/LUU9C4MWzc6PsYfn9ntjHGBDURGDgQtm+Hhg0p9+hdzPr9Vj6dfoxffoFmzeDRR+HUKd9FsEZhjDGBoGpVWLYMJkyAL7+k82NXkzjmPwwcoLzyCkRHw8aNJXzy1tYojDEmUISEwMMPOwND1axJ8f53MPlod76a9yuFCsHf/17XJ5fRhuX+Jo0xxvhUzZqwejW89BKMGkWLVTXZMvFtJv9YiQoVGuT629kehTHGBKLQUBg+HDZvhshICvW4jbsWPQHHj+f6W1mjMMaYQBYdDRs2wOjRFEtKcg5P5TI79GSMMYEuPByefppNzZpxfdGiub5526Mwxph8QgsU8Ml2rVEYY4zJkjUKY4wxWbJGYYwxJkvWKIwxxmTJGoUxxpgsWaMwxhiTJWsUxhhjsiTOM7XzFxE5CuzPxq+UBn72URx/FYw1Q3DWHYw1Q3DWfSk1V1LVMhktyJeNIrtEJF5VG7udIy8FY80QnHUHY80QnHX7qmY79GSMMSZL1iiMMcZkyRqF4y23A7ggGGuG4Kw7GGuG4KzbJzXbOQpjjDFZsj0KY4wxWbJGYYwxJktB0yhEpJ2I7BaRPSIyIoPlIiKveZZvF5FGbuTMbV7U3ctT73YRWSsi9d3ImZsuVnOa9a4RkXMi0i0v8/mKN3WLSGsR2SoiO0VkZV5nzG1e/PddXEQ+E5Ftnpr7upEzN4nIdBFJFpGETJbn/meZqub7FxAKfAdUBQoA24CodOt0AD4HBGgKbHA7dx7V3Rwo4fm5faDX7U3NadZbBiwEurmdO4/+1pcDicBVnukr3M6dBzU/Cbzg+bkMcAwo4Hb2S6y7FdAISMhkea5/lgXLHsW1wB5V3auqZ4A4oHO6dToD76ljPXC5iJTP66C57KJ1q+paVf3VM7keiMzjjLnNm781wIPAx0ByXobzIW/qvguYo6o/AKhqoNfuTc0KFBURASJwGkVq3sbMXaq6CqeOzOT6Z1mwNIoKwIE00wc987K7TqDJbk39cL6JBLKL1iwiFYAuwJQ8zOVr3vytawAlRGSFiGwWkXvyLJ1veFPz60Bt4BCwA3hYVc/nTTzX5PpnWdglxQkcksG89NcFe7NOoPG6JhGJxWkULXyayPe8qXkCMFxVzzlfNPMFb+oOA2KAG4HCwDoRWa+q3/g6nI94U/PNwFbgBqAa8IWIfKWqJ3yczU25/lkWLI3iIFAxzXQkzjeM7K4TaLyqSUTqAVOB9qr6Sx5l8xVvam4MxHmaRGmgg4ikquqneZLQN7z9b/xnVT0FnBKRVUB9IFAbhTc19wWeV+fg/R4R2QfUAjbmTURX5PpnWbAcetoEVBeRKiJSAOgBzEu3zjzgHs8VA02B46p6OK+D5rKL1i0iVwFzgN4B/M0yrYvWrKpVVLWyqlYGZgODA7xJgHf/jc8FWopImIhcBjQBkvI4Z27ypuYfcPagEJGyQE1gb56mzHu5/lkWFHsUqpoqIkOAxThXSkxX1Z0iMsizfArO1S8dgD3A7zjfRAKal3WPAkoBkz3fsFM1gEfc9LLmfMebulU1SUQWAduB88BUVc3wEstA4OXf+hlghojswDkkM1xVA3rocRGZCbQGSovIQeBpIBx891lmQ3gYY4zJUrAcejLGGJND1iiMMcZkyRqFMcaYLFmjMMYYkyVrFMYYY7JkjcIYY0yWrFEY4wMicrXn2v208wqKyD4RiXIrlzE5YY3CGN/YC1QUkbT/HxsArFTVRJcyGZMjQXFntjF5TVXPi8gPQGVgr4gUBh7DuaPWmIBiexTG+E4SzgB0AA8A81T1e/fiGJMztkdhjO8kATU9o7Q+gPO0MURkE7ABKAYsV9V33ItozMXZHoUxvnNhj+Jh4ENV/UlEKuI8mnKIqt4D9BaRUFdTGnMRtkdhjO8kASOAm3CecQzOg4M2p1nnd5yRXI3xW7ZHYYzv7AbqAm+p6nHPvP82ChGpD/ygNoSz8XO2R2GMj6jqaf76/7EYoJSInAbOAcPzPJgx2WTPozDGGJMlO/RkjDEmS9YojDHGZMkahTHGmCxZozDGGJMlaxTGGGOyZI3CGGNMlqxRGGOMyZI1CmOMMVmyRmGMMSZL/wennlx7OZidagAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Resistance of diode')\n", "\n", "res = linregress(x, np.log(y))\n", "slope = res.slope\n", "intercept = res.intercept\n", "def f4(x):\n", " y = np.exp(slope*x+intercept)\n", " return y\n", " \n", "ax1 = ax\n", "ax1.set_ylabel('Ohms')\n", "ax1.set_xlabel('$V_D$')\n", "\n", "x = np.linspace(0.01, 1,100)\n", "y = f3(x)\n", "ax1.semilogy(x,y, 'r-')\n", "ax1.grid()\n", "ax1.semilogy(x,f4(x),'b-')" ] }, { "cell_type": "code", "execution_count": 33, "id": "5a33a4c5-3684-4221-8aad-bb8573250bd0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LinregressResult(slope=-28.500520562252692, intercept=24.8915685536018, rvalue=-0.9993844511758467, pvalue=2.1050538631497554e-144, stderr=0.10106169422628397, intercept_stderr=0.05878542535863579)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res" ] }, { "cell_type": "code", "execution_count": 34, "id": "89f377e3", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - \\frac{V_{C}}{I_{ES} \\left(1 - e^{\\frac{V_{C}}{V_{T}}}\\right) \\left(R - \\frac{V_{C}}{I_{ES} \\left(1 - e^{\\frac{V_{C}}{V_{T}}}\\right)}\\right)} = \\frac{V_{C}}{V_{CC}}$" ], "text/plain": [ "Eq(-V_C/(I_{ES}*(1 - exp(V_C/V_T))*(R - V_C/(I_{ES}*(1 - exp(V_C/V_T))))), V_C/V_{CC})" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqn3 = Eq(symrd/(r + symrd), vc/vcc); eqn3" ] }, { "cell_type": "code", "execution_count": 35, "id": "ab257ccb", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - \\frac{V_{C} - V_{CC}}{I_{ES} \\left(e^{\\frac{V_{C}}{V_{T}}} - 1\\right)}$" ], "text/plain": [ "-(V_C - V_{CC})/(I_{ES}*(exp(V_C/V_T) - 1))" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqn4 = solve(eqn3, r)[0]; eqn4" ] }, { "cell_type": "code", "execution_count": 36, "id": "8f8beae3", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - \\frac{625000000000.0 \\left(V_{C} - 5\\right)}{e^{31.1526479750779 V_{C}} - 1}$" ], "text/plain": [ "-625000000000.0*(V_C - 5)/(exp(31.1526479750779*V_C) - 1)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rdf4=eqn4.subs([(issym, 1.6e-12), (vt,0.0321), (vcc,5)]); rdf4" ] }, { "cell_type": "code", "execution_count": 37, "id": "72e54f68", "metadata": {}, "outputs": [], "source": [ "f4 = lambdify([vc],rdf4)" ] }, { "cell_type": "code", "execution_count": 38, "id": "5f9e8181", "metadata": {}, "outputs": [ { "data": { "image/png": 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kRTs4Z9d1GGOyIX9qGt8BVYFHgdKqWkFVSwEtgWXAiyJyRxBjzPXCwoQ+zWKZO6w1TSoX45lZG7npjSVs2X/c69CMMea/+JM02qvqs6q61nd9VT0MrFDVm4CPghVgKClXJB9v392Y0bfUZ9fhU3R9bSGj5m7hTIqNYWWMyR7STRqqelZE+ovIFmC3iPwmIt+KyNXA9AvrBDnOkCEi9GhQjq+HtabrVWV59dutdH5lIct3pL4FiTHGZD1/+jQexrnTXmtVLaOqhYEXgbdwmq1MEBQrEMXLt9Tnnb82ITnlPH95cymPfraO3363/GyM8Y4/zVN9gd6quv/CDFWdC7QHvg5WYMbR+sqSzH2gFQNaVeGjFbtoPyqBL9bus9NzjTGe8OuU27San1T1F+C1TI/I/I/8URE81qUmM4e0IKZQHgZ/sIp+76xkz9HfvQ7NGBNi/Eka20Tk+tQzReQZ4JvMD8lcTJ1yhZl+b3P+eX1Nlm47RIdRCUy003ONMVnIn6RxL/C0iHwiIv8UkRdFZC3OLVu3BDU68z8iwsPo37IKcx9oRdPKxXh21kZ6jF3M+j2/eR2aMSYE+HP21E6gMTAROIlzG9Y7VPVO4J3ghmcupkKx/Ey6uzFjbmvAvt9O023MIp6btZGTZ1K8Ds0Yk4ulexMmERH3RuNfuo8/qOpLqdYxWUhE6HpVWVpWK8lLX25mwqIdzF63j2e616F9rRivwzPG5EJ+XREuIveJSEXfmSISJSLXisg7wF3BCc/4o3C+SJ7vWZepg5oRnTeC/lNWMui9RPb/ZqPnGmMylz9JoxNwDvhQRPaKyEYR2Q78BPQGXlbVyZkdmIhUEZGJIvKpz7wCIvKOiLwlIrdn9jFzukaVijHrvpb8o2N1vt18gPajEnhnyc/WUW6MyTT+9GmcVtXXVbU5UAloBzRU1Uqqeo+qrvH3YCIySUQOiMj6VPM7icgWEdkqIo+4x92uqv1S7eJG4FNVvQfo5u9xQ0lURBiD217BV39vRYOKRXhq5gZufGMJG/ce8zo0Y0wuENDQ6Kp6VlX3qerRyzzeZJyayx/cYdbHAp2BWkBvEal1ke3LA7vd5zYg0yXElijAlL824ZVb67PnyCluGLOI52dv4lSydZQbYy5flt6ESVUXAKkHUWoCbHVrFslAPND9IrtIwkkcYDeQSpeI0L2+M45Vr0blGb9gOx1GLeDbzb94HZoxJoeSrD7pSURigVmqWsedvhnopKr93ek+QFPgKWAE0AGYoKoviEgBYAxwGlikqu+nsf8BwACAmJiYRvHx8QHFd+LECaKjoy+zdNnbj0fOMXnDGfaeUOJiwrm9ZhRF84bl6jJfSiiWOxTLDKFZ7oyUuW3btomqGpfWsuyQNHoBHVMljSaqel9GjxUXF6crV64MaJv58+fTpk2bjB4620pOOc9bC7fz6jc/ERkexj86VqfCmR1c27at16Fludz+XqclFMsMoVnujJRZRC6aNPxu4hHHHSLypDtdUUSaXFZE/y0JqOAzXR7nAkITBBc6yuc+8GdH+bPLTrNhr11RboxJXyD9Aq8DzXBOswU4jtOBnVErgGoiUllEooBbgZmZsF9zCZWK/9lRfuj383Qbs9iuKDfGpCuQpNFUVQfj9CegqkeAqEAOJiIfAkuB6iKSJCL9VDUFGAJ8BWwCPlbVDYHs11yeCx3lL7TMz1/iKjBh0Q46jErg643WUW6MSVu6w4j4OOueHqsAIlISOB/IwVS190XmzwZmB7Ivk3kKRAov3FiXmxqW4/Fp6+k/ZSUda8cwvFttyhTO53V4xphsJJCaxqvANKCUiIwAFgEvBCUq44m42GLMur8FD3eqQcKPB2k/MoG3F9vQ68aYP/mdNNzTWx/CSRT7gB6q+nGwAjPeiAwPY1Cbqsz9e2viYovx9OfO0Ovrkqyj3BgT2NlT7wD7VXWsqo4B9ovIpOCFZrxUsXh+Jvd1hl7ff+w03ccu4pnPN3LCOsqNCWmBNE9d5Tt8iNsR3iDTIzLZxoWh178e1prbm1bi7SVOR/mX6/env7ExJlcKJGmEiUjRCxMiUozAOtJNDlU4XyTP9qjDZ4OuoXC+SAa+l0h/u0e5MSEpkKQxElgqIs+KyLPAEuDfwQnLZEcNKhbl8/ta8GjnGize+isdRiXw1oLtpJwL6CQ6Y0wOFkhH+BScocl/cR83uvNMCIkMD+Nvrasyb1grrq5SnBGzN9FtzGLW7D7qdWjGmCwQSEd4HqA+UAgoBtx8YUgRE3rKF83PxLvieOP2hhw6eYaery/myRnrOXb6rNehGWOCKJDmqRk4Q5anACd9HiZEiQid65bh62GtuatZLO8u20n7kQl8sXYfdst4Y3KnQDqyy6tqp/RXM6GmYN5IhnerTc8G5Xhs2joGf7CKttVL8kz3OlQolt/r8IwxmSiQmsYSEakbtEhMjlevQhFmDG7OE11r8f2Ow3R4OYFxCds4ax3lxuQagSSNFkCiey/vtSKyTkTWBiswkzNFhIfRr0Vlvh7WmlbVSvLinM3c8NoiEnce8To0Y0wmCKR5qnPQojC5Ttki+Rh/ZxxzN+xn+MwN3PTGEm5rWpGHO9agcP5Ir8MzxlymQE653QkcA2KASj4PYy7qutqlmTesNf1bVCZ++S7ajZrPjDV7rKPcmBwqkFNu+wMLcO578bT7d3hwwjK5SYE8Efyzay1mDmlBuSL5GBq/hjsnLWfnITv5zpicJpA+jaFAY2CnqrbFGXfqYFCiMrlSnXKF+eze5jzdrTardx3lupcXMPa7rSSnWEe5MTlFIEnjtKqeBudCP1XdDFQPTlgmtwoPE+66Jpavh7Xm2hql+PdXW7j+1YUs33HY69CMMX4IJGkkiUgRYDowT0RmAHuDEZTJ/UoXzssbdzRi0t1xnEo+x1/eXMrDn67l6Klkr0MzxlyC32dPqWpP9+lwEfkOKAx8GZSoLkJEKgJjgF+BH1X1xaw8vsl819aI4ephxXnl65+YsGgH8zb9wuNdanJjw3KIiNfhGWNSCaSm8QdVTVDVmaqa4Z+FIjJJRA6IyPpU8zu514RsFZFH3NlXAl+o6l+BWhk9tske8kdF8GiXmsy6rwWViufnwU9+4PYJ37P94AmvQzPGpJJuTUNEhl1quaqOymAMk3FqD3+MmCsi4cBYoAOQBKwQkZnAauBxEbkFeDeDxzXZTM0yhZg68Bo+WL6Ll77cTKfRC7m3bVUGtalKnohwr8MzxuBfTaOg+4gDBgHl3MdAMuHXvqouAFL3gjYBtqrqdrc2E48zWGJf4ClVvRa4PqPHNtlPWJhwx9WV+ObB1nSsU5rRX/9E59ELWbLtV69DM8YA4u9FViIyF7hJVY+70wWBTzJjEEMRiQVmqWodd/pmoJOq9nen+wBNgXE414b8CpxQ1f9LY18DgAEAMTExjeLj4wOK5cSJE0RHR192WXKi7FzmdQdTmLIxmYO/K83LRnBrjSgKRmVOX0d2LnewhGKZITTLnZEyt23bNlFV49JaFsgwIhUB3z6MZCD2siJKX1rfCqqq64GbL7Whqo4HxgPExcVpmzZtAjrw/PnzCXSbnC47l7kNcM/Zc4z5ditvLtjGhqNneaxLTXo1Kp/hjvLsXO5gCcUyQ2iWO1hlDqQj/F1guYgMF5GngO/x6YfIZElABZ/p8tjpvSErb2Q4/9exOrPvb0m1UtE89Olabhm/jK0HjnsdmjEhJ5Cxp0bg9CkcAY4CfVX1+SDFtQKoJiKVRSQKuBWYGaRjmRyiWkxBPhrQjJduqsuW/cfp/MpCRs7dwumz57wOzZiQEcjYU4LT8V1YVV8BDolIk4wGICIfAkuB6iKSJCL9VDUFGIIzvtUm4GNV3ZDRY5mcLyxMuKVxRb55sDU3XFWW177dSsfRC1j4k41oY0xWCKR56nWgGdDbnT6Oc1pshqhqb1Uto6qRqlpeVSe682er6pWqWtWt5RjzhxLReRh1S33e79+UMBH6TFzO0PjVHDx+xuvQjMnVAkkaTVV1MHAaQFWPAFFBicoYPzW/ogRzhrZkaLtqzFm3n3Yj5/P+9zs5f96GXjcmGAJJGmfdi+4UQERKAjY8qfFc3shwHuhwJXP+3pJaZQvx+LT13DxuCZv3H/M6NGNynUCSxqvANCBGREYAi4BgdYQbE7CqJaP58J6rGdmrHjt+PUnXVxfxwpxNnEpO8To0Y3KNQAYsfF9EEoF27qweqropOGEZc3lEhJsalefaGqV4Yc4m3kzYzhdr9/Fsjzq0rV7K6/CMyfECOXsqL9AFaA9cC3Ry5xmT7RQtEMW/bq7HRwOuJk9EGH3fXsHg91fxy7HTXodmTI4WSPPUFKA2TjPVGKAmNmigyeaaVinO7KEtebDDlczb9AvtRyYwZenPnLOOcmMuSyDDiFRX1Xo+09+JyA+ZHZAxmS1PRDj3tatG13pleWL6ep6csYGpq/ZwYwW7KNCYQAVS01gtIldfmBCRpsDizA/JmOCoXKIA7/Zrwuhb6rPnyCmeXnqaEV9s5OQZ6yg3xl8BXacBLBGRn0XkZ5yruFuLyDoRWRuU6IzJZCJCjwbl+GZYG1qVi+CthTvoMCqBrzf+4nVoxuQIgTRPZXgIdGOyi8L5I7m7Th6GdG3M49PW03/KSjrWjmF4t9qUKZzP6/CMybYCGbBw56UewQzSmGCJiy3GrPtb8HCnGiT8eJD2IxN4e/EO6yg35iICOeU2TkSmicgqEVlrzVImt4gMD2NQm6rMe6A1cbHFePrzjfQYu5h1Sb95HZox2U4gfRrvA28DNwE3AF3dv8bkChWK5Wdy38aMua0B+4+dpvvYRTz9+QZOWEe5MX8IpE/joKraPS1MriYidL2qLC2rleTfX21m8pKfmbNuP8O71aJj7dIZvlugMTldIDWNp0Rkgoj0FpEbLzyCFpkxHiqcL5LnetTls0HXUCR/JAPfW8U9U1aSdOSU16EZ46lAkkZfoD7OWVQ38GcTlTG5VoOKRZl1Xwse61KDxVsP0WHUAt5asJ2UczbAswlNgTRP1VPVukGLxJhsKiI8jAGtqtKlbhmGz9zAiNmb+Gz1Hp7vWYcGFYt6HZ4xWSqQmsYyEakVtEiMyebKF83PW3fGMe6Ohhw5mcyNbyzhyRnrOXb6rNehGZNlAqlptADuEpEdwBlAAFXVq4ISWRpEJAx4FigErFTVd7Lq2MaA01HeqU4Zml9RgpFzf+SdpT/z5fr9PHVDbbrUtY5yk/sFUtPoBFQDriMTT7kVkUkickBE1qea30lEtojIVhF5xJ3dHSgHnAWSMnpsYy5XwbyRDO9WmxmDm1OqUB4Gf7CKvpNXsPuwdZSb3C3DV4RnQgyTSTVEiXtb2bFAZ6AW0NttGqsOLFXVYcCgTDi2MRlyVfkiTL+3OU90rcWKHYfp8HICb8zfxlnrKDe5VLpJQ0SOi8ixNB7HRSTDN2FW1QXA4VSzmwBbVXW7qiYD8Ti1jCTgiLuOjWttsoWI8DD6tajM1w+2pvWVJXnpy810fXURiTtTf6yNyflE1fsxdkQkFpilqnXc6ZuBTqra353ugzPK7kPAa8ApYLOqjk1jXwOAAQAxMTGN4uPjA4rlxIkTREdHX35hcqBQLDMEr9yrD6Tw7sZkDp9W2pSPoFf1KApEZo++DnuvQ0dGyty2bdtEVY1La1kgHeFZKa3/MFXVU0C/S22oquOB8QBxcXHapk2bgA48f/58At0mpwvFMkPwyt0GGHAmhdFf/8jERTtYfzSMJ7rWolu9sp53lNt7HTqCVeZAOsKzUhJQwWe6PLDXo1iMCViBPBE8fn0tZg5pQbki+Rgav4Y7Jy1n56GTXodmTIZk16SxAqgmIpVFJAq4FbBxr0yOU6dcYT67tznPdK/N6l1Hue7lBYz59ieSU6yj3ORMgQyNLiJyh4g86U5XFJEmGQ1ARD7EuQtgdRFJEpF+qpoCDAG+AjYBH6vqhoweyxgvhIcJdzaL5ZsHW9OuZin+M/dHury6kO+3H/I6NGMCFkhN43WgGdDbnT6Oc1pshqhqb1Uto6qRqlpeVSe682er6pWqWlVVR2T0OMZ4LaZQXl6/vRFv392Y35PPccv4ZTz06Q8cOZnsdWjG+C2ge4Sr6mDgNICqHgGighKVMblY2xqlmDesFX9rXYWpq/bQblQCUxOTyA5nMhqTnkCSxln3ojsFEJGSgDXMGnMZ8kdF8Gjnmsy6rwWViufnwU9+4PYJ37P94AmvQzPmkgJJGq8C04AYERkBLAKeD0pUxoSImmUKMXXgNYzoWYd1e36j0+iFjP76R86k2LWrJnvy+zoNVX1fRBKBdu6sHqq6KThhGRM6wsKE25tWokOtGJ6dtYnRX//EzDV7ea5nHa6pWsLr8Iz5L4GcPZUHaAgUBooDvS6cSWWMybhSBfPyWu8GvPPXJqScV25763uGfbyGQyfOeB2aMX8IpHlqBs74TynASZ+HMSYTtb6yJHMfaMXgtlX5/Ie9tBuVwMcrdltHuckWAhlGpLyqdkp/NWNMRuWNDOcfHWvQo345Hpu2joemruXTVUk837MOV5Qq6HV4JoQFUtNYIiJ2u1djslC1mIJ8NKAZL91Uly37j9P5lYWMnLuF02eto9x4I5Ck0QJIdG+MtFZE1onI2mAFZoxxhIUJtzSuyDcPtqbrVWV57dutdBq9gEU//ep1aCYEBdI81TloURhj0lUiOg8v31KfmxqW54kZ67lj4vd0r1+Wf15fi5IF83gdngkRgZxymxl36TPGZFCLaiWYM7Qlr8/fxrj52/hu8wEe6VyTWxtXICwse9y3w+Re/ty5b5H7N/Ud/DLlzn3GmMDljQxnWIcrmT20JTXLFOKxaevo9eZStuw/7nVoJpdLN2moagv3b0FVLeTzKKiqhYIfojHmYq4oFU38gKv5T696bD94gutfXchLX27m92TrKDfBkV3vp2GM8ZOIcHOj8nzzYBt6NijHG/O3cd3oBOZvOeB1aCYX8qd56rhPc1TqhzVPGZNNFCsQxb971SN+wNVEhYdx99srGPzBKg4cO+11aCYX8ad5qqBPc1TqhzVPGZPNXF2lOLOHtmRYhyuZt/EX2o1M4N1lOzl/3q4oNxnn99lT7thTNwGxvtup6jOZH5YxJiPyRIRzf7tq3FCvLP+cvo4npq9namISN1awvg6TMTb2lDG5WOUSBXivX1NevqUeuw+fYvjS0zw/exOnklO8Ds3kUDb2lDG5nIjQs0F52lYvxf2TvmP8gu18sXYfT3erTftaMV6HZ3KYHDf2lIgUEJFEEenqdSzG5CRF8kfx1zp5+GRgMwrkCaf/lJUMfDeRfb/97nVoJgfxfOwpEZkkIgdEZH2q+Z3cY20VkUd8Fj0MfJzR4xoTqhrHFmPWfS15qFN1vttygPYjE3h78Q7OWUe58UN2GHtqMjAGmHJhhnsv8rFAByAJWCEiM4GywEYgb5BiMSYkREWEcW+bK+hatyxPzFjP059v5LNVe3i+Z13qli/sdXgmG5PscGMXEYkFZqlqHXe6GTBcVTu604+6q0YDBYBawO9AT1U9n2pfA4ABADExMY3i4+MDiuXEiRNER0dffmFyoFAsM4RmudMqs6qyfP85PticzLEzSodKEfSsFkW+iNwzjpW914Fp27ZtoqrGpbUs3ZqGiBwH0sosAmiQrtUoB+z2mU4CmqrqEDemu4FfUycMnIDGA+MB4uLitE2bNgEdeP78+QS6TU4XimWG0Cz3xcrcFhj4+1n+9eVmPli+i3VHIxjerTYda5fO8hiDwd7rzBPIxX2pH8G8uC+tnzh/JC5Vnayqs4J0bGNCUuF8kYzoWZepg66hcL5I/vZuIv3fWcmeo9ZRbv6UXceeSgIq+EyXB/Z6FIsxIaVhxaJ8fl8LHu1cg8Vbf6XDqAQmLNxOyrn/qdibEJRdk8YKoJqIVBaRKOBWYKbHMRkTMiLDw/hb66rMfaAVV1cpznNfbKL72MX8sPuo16EZj3meNETkQ2ApUF1EkkSkn6qmAEOAr4BNwMequsHLOI0JRRWK5WfiXXG8cXtDDh4/Q4/XF/PUjPUcO33W69CMRwI55TYoVLX3RebPBmZncTjGmFREhM51y9C8WglGfrWFKct2Mmf9foZ3q03nOqURyT1nWZn0+XP21LBLLVfVUZkXjjEmuyqUN5Knu9fhxoblefSzddz7/iqurVGKp7vVpkKx/F6HZ7KIP81TBd1HHDAI53TYcsBAnOsljDEhpF6FIswc0px/Xl+TZdsPcd3LC3gzYRtnraM8JPhzyu3Tqvo0UAJoqKoPquqDQCOcs5qMMSEmIjyM/i2rMG9Ya5pfUYIX5mzmhtcWkbjziNehmSALpCO8IpDsM52Mc28NY0yIKlckHxPuiuPNPo04euosN49bwuPT1vHb79ZRnlsF0hH+LrBcRKbhXGjXE5/xoowxoatj7dI0v6IEo+b+yOQlO5i78Ree7FqLrleVsY7yXMbvmoaqjgD6AkeAo0BfVX0+SHEZY3KY6DwRPHlDLWYOaUHpQnm578PV3PX2CnYdOuV1aCYT+Z00xPm5UAsorKqvAIdEpEnQIjPG5Eh1yhVm+uDmPHVDLRJ/PkyHlxMY+91WklOsozw3CKRP43WgGXDhuorjOMOXG2PMfwkPE/o2r8zXD7ambfVS/PurLXR9bSErfz7sdWgmgwJJGk1VdTBwGkBVjwBRQYnKGJMrlCmcj3F9GjHxrjhOnjnHzeOW8uhnazl6Kjn9jU22FEjSOOveHEkBRKQkYPVNY0y62tWMYd6wVgxoVYWPVybRbmQC01fvITvcz8cEJpCk8SowDSglIiOARYB1hBtj/JI/KoLHutTk8yEtqFAsP3//aA19Ji5nx68nvQ7NBMCvpOF2gi8AHgJeAPYBPVT1kyDGZozJhWqVLcTUQdfwbPfa/LD7KB1HL+C1b37iTMo5r0MzfvDrOg1VVRGZrqqNgM1BjskYk8uFhwl9msXSsXZpnp61kZHzfmT6Guce5U2rFPc6PHMJgTRPLRORxkGLxBgTckoVysvY2xrydt/GnEk5zy3jl/GPT37gyEnrKM+uAkkabYGlIrJNRNaKyDoRWRuswIwxoaNt9VLMe6A1A1tXZdrqPbQblcCniUnWUZ4NBTKMSOegRWGMCXn5osJ5pHMNejQoy2OfreP/PvmBTxN3M6JnXaqWjPY6POMKZBiRnWk9ghmcMSb01ChdiE8HXsPzPeuyce8xOo9eyMvzfuT0Wesozw7STRoissj9e1xEjrl/LzyOBT9EY0yoCQsTbmtaka8fbE2nOqV55Zuf6PLKQpZs+9Xr0EKeP/fTaOH+Laiqhdy/Fx6Fgh/in0Skh4i8JSIzROS6rDy2MSbrlSqYl1d7N2DKX5uQcl657a3vGfbRGg6dOON1aCHL7z4NEXkyrfmq+kxGAhCRSUBX4ICq1vGZ3wl4BQgHJqjqi6o6HZguIkWB/wBzM3JsY0zO0OrKksx9oBVjvt3Kmwu28e2WAzzWuSa94srb0OtZLJCzp076PM7hdIzHZkIMk4FOvjPc4UrGuseoBfQWEd9by/4TGyzRmJCSNzKc/+tYndn3t6RaqWgemrqWW8Yv46dfjnsdWkiRyz2lTUTyADNVtWOGgxCJBWZdqGmISDNg+IV9i8ij7qovuo95qvr1RfY1ABgAEBMT0yg+Pj6gWE6cOEF0dGidqRGKZYbQLHduKfN5VRbuSeHjLcmcToEulSO5oWokUeFp1zpyS7kDkZEyt23bNlFV49JaFsgpt6nlB6pkYPtLKQfs9plOApoC9wHtgcIicoWqjku9oaqOB8YDxMXFaZs2bQI68Pz58wl0m5wuFMsMoVnu3FTma4HBJ87w/Beb+Gz1Htb+FslzPWrTslrJ/1k3N5XbX8EqcyA3YVrnXtS3VkQ2AFtwBjEMhrR+LqiqvqqqjVR1YFoJwxgTWkpE52HULfX5oH9TwkToM3E5Q+NXc/C4dZQHSyA1ja4+z1OAX1Q1JZPjuSAJqOAzXR7YG6RjGWNyuGuuKMGcoS15ff42xs3fxnebD/BI55rc2rgCYWHWUZ6ZAkkaN6We4XvWgqqOyoyAXCuAaiJSGdgD3Arclon7N8bkMnkjwxnW4Uq61SvL49PW8di0dUxdlcTzPet6HVquEsjZU3HAIJz+hnLAQJwzmwq6j8siIh8CS4HqIpIkIv3cGswQ4CtgE/Cxqm643GMYY0LHFaWiiR9wNf+++Sq2HzzB9a8u5JMtyfyebFeUZ4ZAaholgIaqehxARIYDn6hq/4wEoKq9LzJ/NjA7I/s2xoQmEaFXXAXa1Yzh+dmb+DQxibWjE3i2ex3aVC/ldXg5WiA1jYqA73jFyWTOdRrGGBMUxQpE8Z9e9Xi4cV4iw8O4++0VDPlgFQeOnfY6tBwrkJrGu8ByEZmGc5/wnsA7QYnKGGMyUc3i4czp3pJx87czdv5WEn48yEOdanB7k4rWUR6gQEa5HQH0BY4AR4G+qvpCkOIyxphMlScinKHtq/Hl0JbULVeYJ6av56ZxS9i0z8ZdDUQgzVOo6ipVfcV9rA5WUMYYEyxVSkbzfv+mjPpLPXYeOkXX1xbx/OxNnEoO1hUEuUsgF/eJiNxxYeBCEakoIk2CF5oxxgSHiHBjw/J8+2BrejUqz/gF2+kwagHfbPrF69CyvUBqGq8DzYALZzsdxwYNNMbkYEXyR/HiTVfxycBm5I8Kp987Kxn0XiL7f7OO8osJJGk0VdXBwGkAVT0CRAUlKmOMyUKNY4vxxf0t+UfH6ny7+QDtRyUwefEOzp23e5SnFkjSOOsOWa4AIlISOB+UqIwxJotFRYQxuO0VzH2gFQ0qFmH45xvp+fpi1u/5zevQspVAksarwDSglIiMABYBzwclKmOM8Uil4gWY8tcmvHJrffYePU23MYt4dtZGTp6xjnII4DoNVX1fRBKBdu6sXoAN6mKMyXVEhO71y9Gmein+9eVmJi7awex1+3i6W22uq13a6/A8lW5NQ0QKicijIjIG56rw193tPgf+EuT4jDHGM4XzRTKiZ12mDrqGwvkiGfBuIgOmrGTv0d+9Ds0z/jRPvQtUB9YB/XHuy30z0F1VuwcxNmOMyRYaVSrK5/e14JHONVjw00E6jEpg4qIdpJwLvW5df5qnqqhqXQARmQD8ClS8MHChMcaEgsjwMAa2rsr1dcvwxIz1PDtrI9NWO0OvX1W+iNfhZRl/ahpnLzxR1XPADksYxphQVaFYft6+uzFjb2vIL8fO0GPsYobP3MDx02fT3zgX8KemUU9ELgzOIkA+d1pwbsFaKGjRGWNMNiQiXH9VGVpeWYL/fLWFd5b+zJz1Tkd5x9ql/+sGdblNujUNVQ1X1ULuo6CqRvg8t4RhjAlZhfJG8kz3Oky7tznFCuRh4Hur6P/OSpKOnPI6tKAJaMBCY4wx/6t+hSJ8PqQ5j3epyZJth+gwagFvLdieKzvKLWkYY0wmiAgP455WVZg3rBXXVC3OiNmbuGHMYlbvOuJ1aJkqRyUNESkgIu+IyFsicrvX8RhjTGrli+Znwl1xjLujIUdOJnPjG0t4csZ6juWSjnLPk4aITBKRAyKyPtX8TiKyRUS2isgj7uwbgU9V9R6gW5YHa4wxfhAROtUpw7xhrbirWSzvLdtJ+5EJfLF2H6o5exBEz5MGMBno5DvDHRhxLNAZqAX0FpFaQHlgt7vauSyM0RhjAlYwbyTDu9Vm+uDmlCqUh8EfrKLv5BXsPpxzO8olO2Q9EYkFZqlqHXe6GTBcVTu604+6qyYBR1R1lojEq+qtaexrADAAICYmplF8fHxAsZw4cYLo6OjLLktOFIplhtAsdyiWGbJHuc+dV77ZlcJnPyVzXqH7FZF0jI0kIkj3KM9Imdu2bZuoqnFpLfN7wMIsVo4/axTgJIumOCPtjhGR63HGvvofqjoeGA8QFxenbdq0CejA8+fPJ9BtcrpQLDOEZrlDscyQfcrdDhhy9HeemrmBTzb+wrpjeRnRsy6NKhXN9GMFq8zZoXkqLWmlXlXVk6raV1UHqer7WR6VMcZkUNki+XjrzjjG92nEb7+f5eZxS3hs2jp+O5UzOsqza9JIAir4TJcH9noUizHGZLrrapdm3rDW/LV5ZeKX76LdqARmrNmT7TvKs2vSWAFUE5HKIhIF3ArM9DgmY4zJVNF5Iniiay1mDmlB2SJ5GRq/hjsnLWfnoZNeh3ZRnicNEfkQWApUF5EkEemnqinAEOArYBPwsapu8DJOY4wJljrlCjPt3uYMv6EWq3cd5bqXFzD2u60kp2S/K8o97whX1d4XmT8bmJ3F4RhjjCfCw4S7m1emU50yPP35Bv791Ramr97D8zfWpXFsMa/D+4PnNQ1jjDF/Kl04L2/c0YiJd8VxKvkcvcYt5ZGpazl6Ktnr0ABLGsYYky21qxnDvGGtGNCqCp8kJtFuZALTV3vfUW5Jwxhjsqn8URE81qUmnw9pQYVi+fn7R2voM3E5P//qXUe5JQ1jjMnmapUtxNRB1/Bs99r8sPso141ewGvf/MSZlKwfTcmShjHG5ADhYUKfZrF882BrrqsVw8h5P9LllYUs234oS+OwpGGMMTlIqUJ5GXNbQ97u25gzKee5dfwy/vHJDxw5mTUd5ZY0jDEmB2pbvRTzHmjNwNZVmbZ6D+1GJTA1MSnoHeWWNIwxJofKFxXOI51rMOv+FsQWz8+Dn/zAbW99z7aDJ4J2TEsaxhiTw9UoXYhPB17DiJ512LD3NzqPXsi0n5I5dz7zax2WNIwxJhcICxNub1qJbx5sQ+e6pdlx7DzBuFWHJQ1jjMlFShbMwyu3NuC+BnkQyfysYUnDGGNyocgg3RHQkoYxxhi/WdIwxhjjN0saxhhj/GZJwxhjjN8saRhjjPGbJQ1jjDF+s6RhjDHGb+L1XaCCSUQOAjsD3KwE8GsQwsnOQrHMEJrlDsUyQ2iWOyNlrqSqJdNakKuTxuUQkZWqGud1HFkpFMsMoVnuUCwzhGa5g1Vma54yxhjjN0saxhhj/GZJ43+N9zoAD4RimSE0yx2KZYbQLHdQymx9GsYYY/xmNQ1jjDF+s6RhjDHGbyGZNESkk4hsEZGtIvJIGstFRF51l68VkYZexJnZ/Cj37W5514rIEhGp50WcmSm9Mvus11hEzonIzVkZX7D4U24RaSMia0Rkg4gkZHWMmc2Pz3dhEflcRH5wy9zXizgzk4hMEpEDIrL+Issz/7tMVUPqAYQD24AqQBTwA1Ar1TpdgDmAAFcD33sddxaV+xqgqPu8c04vtz9l9lnvW2A2cLPXcWfRe10E2AhUdKdLeR13FpT5MeAl93lJ4DAQ5XXsGSx3K6AhsP4iyzP9uywUaxpNgK2qul1Vk4F4oHuqdboDU9SxDCgiImWyOtBMlm65VXWJqh5xJ5cB5bM4xszmz3sNcB8wFTiQlcEFkT/lvg34TFV3AahqTi+7P2VWoKA490CNxkkaKVkbZuZS1QU45biYTP8uC8WkUQ7Y7TOd5M4LdJ2cJtAy9cP5hZKTpVtmESkH9ATGZWFcwebPe30lUFRE5otIoojcmWXRBYc/ZR4D1AT2AuuAoap6PmvC80ymf5dFZCicnCmtG+emPu/Yn3VyGr/LJCJtcZJGi6BGFHz+lHk08LCqnnN+gOYK/pQ7AmgEtAPyAUtFZJmq/hjs4ILEnzJ3BNYA1wJVgXkislBVjwU5Ni9l+ndZKCaNJKCCz3R5nF8ega6T0/hVJhG5CpgAdFbVQ1kUW7D4U+Y4IN5NGCWALiKSoqrTsyTC4PD3M/6rqp4ETorIAqAekFOThj9l7gu8qE5j/1YR2QHUAJZnTYieyPTvslBsnloBVBORyiISBdwKzEy1zkzgTvfMg6uB31R1X1YHmsnSLbeIVAQ+A/rk4F+cvtIts6pWVtVYVY0FPgXuzeEJA/z7jM8AWopIhIjkB5oCm7I4zszkT5l34dSsEJEYoDqwPUujzHqZ/l0WcjUNVU0RkSHAVzhnXExS1Q0iMtBdPg7nLJouwFbgFM4vlBzNz3I/CRQHXnd/eadoDh4Z1M8y5zr+lFtVN4nIl8Ba4DwwQVXTPG0zJ/DzvX4WmCwi63CabR5W1Rw9XLqIfAi0AUqISBLwFBAJwfsus2FEjDHG+C0Um6eMMcZcJksaxhhj/GZJwxhjjN8saRhjjPGbJQ1jjDF+s6RhjDHGb5Y0jAkyEbnCvTbAd14eEdkhIrW8isuYy2FJw5jg2w5UEBHf/7cBQIKqbvQoJmMuS8hdEW5MVlPV8yKyC4gFtotIPuBBnCt5jclRrKZhTNbYhDM4HsBgYKaq/uxdOMZcHqtpGJM1NgHV3dFkB+PcRQ0RWQF8DxQCvlPVt70L0Zj0WU3DmKxxoaYxFHhfVX8RkQo4t98coqp3An1EJNzTKI1Jh9U0jMkam4BHgPY493QG5yZIiT7rnMIZcdaYbMtqGsZkjS1AXWC8qv7mzvsjaYhIPWCX2rDTJpuzmoYxWUBVz/C//2+NgOIicgY4Bzyc5YEZEyC7n4Yxxhi/WfOUMcYYv1nSMMYY4zdLGsYYY/xmScMYY4zfLGkYY4zxmyUNY4wxfrOkYYwxxm+WNIwxxvjNkoYxxhi//T+uWGiuQ2uXegAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Required Inline Impedance for Voltage')\n", "\n", "\n", "ax1 = ax\n", "ax1.set_ylabel('Required Inline Impedance ($\\\\Omega$)')\n", "ax1.set_xlabel('$V_D$')\n", "\n", "x = np.linspace(0.01, 1,100)\n", "y = f4(x)\n", "ax1.semilogy(x,y)\n", "ax1.grid()" ] }, { "cell_type": "code", "execution_count": 39, "id": "fc6ba93a", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle I_{ES} \\left(e^{\\frac{V_{C}}{V_{T}}} - 1\\right)$" ], "text/plain": [ "I_{ES}*(exp(V_C/V_T) - 1)" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqndiode = -eqn1.args[0].args[2]; eqndiode" ] }, { "cell_type": "code", "execution_count": 40, "id": "2ea011f8", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - I_{ES} R \\left(e^{\\frac{V_{C}}{V_{T}}} - 1\\right) - V_{C} + V_{CC}$" ], "text/plain": [ "-I_{ES}*R*(exp(V_C/V_T) - 1) - V_C + V_{CC}" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqn6 = vcc-r*eqndiode-vc; eqn6" ] }, { "cell_type": "code", "execution_count": 41, "id": "bcf14d31", "metadata": {}, "outputs": [], "source": [ "f5def = (eqn6-vc).subs([(issym, isval),(vcc,5),])\n", "f5 = lambdify([vc, vt,r],f5def)" ] }, { "cell_type": "code", "execution_count": 42, "id": "e0266705", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-26.802408272819907" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f5(0.7, vtval, 6800)" ] }, { "cell_type": "code", "execution_count": 43, "id": "418a25d6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ " converged: True\n", " flag: 'converged'\n", " function_calls: 15\n", " iterations: 14\n", " root: 0.6931488934999699" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "root_scalar(f5, args=(vtval,1000), bracket=(0,1))" ] }, { "cell_type": "code", "execution_count": 44, "id": "5112c836", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.set_title('Calculation of saturation voltage')\n", "ax1 = ax\n", "ax1.set_ylabel('Saturation voltage (volts)')\n", "ax1.set_xlabel('$V_T$')\n", "x = np.linspace(0.02, 0.05, 100)\n", "\n", "for rval in (500, 2000,6000,10000):\n", " y = list(map(lambda v: root_scalar(f5, args=(v,rval), bracket=(0,5)).root, x))\n", " ax1.plot(x,y, label='R = {}'.format(rval))\n", "ax1.grid()\n", "ax1.legend()" ] }, { "cell_type": "code", "execution_count": null, "id": "7784a133-dc44-437d-9156-2c8da58779b6", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 45, "id": "c884cae2-d146-4b83-af2c-1cdd9fcad225", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LinregressResult(slope=19.362505778884227, intercept=0.012455723437957977, rvalue=0.999987132735787, pvalue=1.0480505254927601e-226, stderr=0.009922264979108298, intercept_stderr=0.0003579607711898176)" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0.02, 0.05, 100)\n", "y = list(map(lambda v: root_scalar(f5, args=(v,6000), bracket=(0,1)).root, x))\n", "fig, ax = plt.subplots()\n", "\n", "ax.set_title('Calculation of saturation voltage')\n", "\n", "\n", "ax1 = ax\n", "ax1.set_ylabel('Saturation voltage (volts)')\n", "ax1.set_xlabel('$V_T$')\n", "res = linregress(x,y)\n", "slope = res.slope\n", "intercept = res.intercept\n", "def g(x):\n", " y = np.array(x)*slope + intercept\n", " return y\n", "\n", "ax1.plot(x,y,'b-')\n", "ax1.plot(x,g(x),'r--')\n", "ax1.grid()\n", "res" ] }, { "cell_type": "code", "execution_count": 46, "id": "c2b622f0-56f0-446e-ae84-3f536613271f", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - I_{ES} R \\left(e^{\\frac{V_{C}}{V_{T}}} - 1\\right) - V_{C} + V_{CC}$" ], "text/plain": [ "-I_{ES}*R*(exp(V_C/V_T) - 1) - V_C + V_{CC}" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqn6" ] }, { "cell_type": "code", "execution_count": 47, "id": "f63a8efe-e19e-4a75-be06-4341ee55a50c", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - 6800 I_{ES} \\left(e^{\\frac{V_{C}}{V_{T}}} - 1\\right) - V_{C} + 5$" ], "text/plain": [ "-6800*I_{ES}*(exp(V_C/V_T) - 1) - V_C + 5" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f6def = eqn6.subs([(r,6800),(vcc,5),])\n", "f6 = lambdify([issym , vc, vt],f6def)\n", "f6def" ] }, { "cell_type": "code", "execution_count": 48, "id": "6d9a4063-2c14-4eb6-9dfd-ee9c92b85820", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-351.2689813249657" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f6(1.6e-8, 0.60, 0.04)" ] }, { "cell_type": "code", "execution_count": 49, "id": "9b411121-082b-4131-99d7-80dc45d3260c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ " converged: True\n", " flag: 'converged'\n", " function_calls: 3\n", " iterations: 2\n", " root: 1.785233779718639e-12" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vcval = 0.65\n", "vtval = 0.033\n", "root_scalar(f6, args=(vcval, vtval), bracket=[1.6e-30,1.6e-8], rtol=.01)\n", "\n", "#y = list(map(lambda v: root_scalar(f6, args=(v, isval), bracket=[.1,.8], rtol=.1).root, vtval))\n" ] }, { "cell_type": "code", "execution_count": 50, "id": "2068821f-afd3-42d6-b394-e303ba0b0ce3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.set_title('Calculation of scale current (A)')\n", "ax1 = ax\n", "ax1.set_ylabel('Sc. Current (A)')\n", "ax1.set_xlabel('$V_T$')\n", "\n", "for vcval in (0.6, 0.65, 0.7): \n", " vtval = np.linspace(0.030,0.04,100)\n", " \n", " y = np.array(list(map(lambda v: root_scalar(f6, args=(vcval, v), bracket=[1.6e-20,1.6e-8], rtol=.1).root, vtval)))\n", " ax1.semilogy(vtval,y.tolist(), label='$V_C$ = {}'.format(vcval))\n", "ax1.grid()\n", "ax1.legend()" ] }, { "cell_type": "code", "execution_count": 51, "id": "efe1373b-37ed-4ff5-8759-13974018f655", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.6 0.7\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax2 = plt.subplots(1,1)\n", "ax2.set_title('Calculation of $V_T$ at minimal scale current')\n", "#ax1.set_ylabel('Sc. Current (A)')\n", "ax2.set_ylabel('$V_T$')\n", "#ax1.set_xlabel('Saturation Voltage')\n", "ax2.set_xlabel('Saturation Voltage (V)')\n", "\n", "minsc = []\n", "iarr = []\n", "for vcval in np.linspace(0.6, 0.7,100): \n", " vtval = np.linspace(0.025,0.045,500)\n", " \n", " y = np.array(list(map(lambda v: root_scalar(f6, args=(vcval, v), bracket=[1.6e-20,1.6e-8], rtol=.1).root, vtval)))\n", " idx = np.argmax(y>1.6e-20)\n", " \n", " vt = vtval[idx]\n", " sc = y[idx]\n", " iarr.append(idx)\n", " minsc.append((vcval, vt,sc))\n", " #ax1.semilogy(vtval,y.tolist(), label='$V_C$ = {}'.format(vcval))#\n", "#ax1.grid()\n", "ax2.grid()\n", "values = np.array(minsc).T\n", "\n", "f=interp1d(values[0],values[1], kind='linear')\n", "print (values[0][0], values[0][-1])\n", "x = np.linspace(0.6, 0.7, 1000)\n", "#ax1.legend()\n", "ax2.plot(values[0], values[1])\n", "#ax2.plot(x, f(x))\n" ] } ], "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": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 5 }