{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "54c0d2a6", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 7, "id": "e30013ae", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'sin(x)')" ] }, "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", "x = np.linspace(0,6*np.pi,1000 )\n", "y = (np.sin(x))\n", "xpi = x/np.pi\n", "ax.plot(xpi,y)\n", "ax.grid()\n", "ax.set_xlabel(\"x*$\\pi$\")\n", "ax.set_ylabel(\"sin(x)\")\n", "ax.set_title(\"sin(x)\")" ] }, { "cell_type": "code", "execution_count": 11, "id": "897ab730", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Fourier Sum')" ] }, "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", "x = np.linspace(0,6*np.pi,1000 )\n", "y = np.zeros(1000)\n", "for n in np.arange(1,7,2):\n", " y += (np.sin(n*x)/n)\n", " \n", "xpi = x/np.pi\n", "ax.plot(xpi,y)\n", "ax.grid()\n", "ax.set_xlabel(\"x*$\\pi$\")\n", "ax.set_ylabel(\"sin(x)\")\n", "ax.set_title(\"Fourier Sum\")" ] }, { "cell_type": "code", "execution_count": 33, "id": "d4c354ab", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Fourier Sum')" ] }, "execution_count": 33, "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", "x = np.linspace(0,6*np.pi,10000 )\n", "y = np.zeros(10000)\n", "for n in np.arange(1,1000,2):\n", " y += (np.sin(n*x)/n)\n", " \n", "xpi = x/np.pi\n", "ax.plot(xpi,y*4/np.pi)\n", "ax.grid()\n", "ax.set_xlabel(\"x*$\\pi$\")\n", "ax.set_ylabel(\"sin(x)\")\n", "ax.set_title(\"Fourier Sum\")" ] }, { "cell_type": "code", "execution_count": 35, "id": "21dc1b2b", "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Divide by 100 $\\\\mu F$')" ] }, "execution_count": 35, "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", "x = np.linspace(0,6*np.pi,1000 )\n", "y = np.zeros(1000)\n", "for n in np.arange(1,1000,2):\n", " #y += (np.sin(n*x)/n)*(n)\n", " y += (np.sin(n*x)/n)*(n*100e-6)\n", " \n", "xpi = x/np.pi\n", "ax.plot(xpi,y*4/np.pi*1000)\n", "ax.grid()\n", "ax.set_xlabel(\"x*$\\pi$\")\n", "ax.set_ylabel(\"mA per Volt\")\n", "ax.set_title(\"Divide by 100 $\\mu F$\")" ] }, { "cell_type": "code", "execution_count": 40, "id": "05372606", "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Divide by 100 $\\\\mu F$')" ] }, "execution_count": 40, "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", "x = np.linspace(0,2*np.pi,1000 )\n", "y = np.zeros(1000)\n", "for n in np.arange(1,1000,2):\n", " #y += (np.sin(n*x)/n)*(n)\n", " y += (np.sin(n*x)/n)*(n*100e-6)\n", " \n", "xpi = x/np.pi\n", "ax.plot(xpi,y*4/np.pi*1000)\n", "ax.grid()\n", "ax.set_xlim(0.90, 1.10)\n", "ax.set_xlabel(\"x*$\\pi$\")\n", "ax.set_ylabel(\"mA per Volt\")\n", "ax.set_title(\"Divide by 100 $\\mu F$\")" ] }, { "cell_type": "code", "execution_count": null, "id": "9b6a6275", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }