{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 9: The RLC Circuit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 9.1: The_Source_free_parallel_circuit.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "//Example 9.1\n", "//Calculate resistor values for underdamped and overdamped responses\n", "printf('Given')\n", "disp('L=10mH and C=100uF')\n", "L=10*10^-3;C=100*10^-6\n", "w0=sqrt(1/(L*C))\n", "printf('w0=%drad/s\n',w0)\n", "//alpha(a)=1/(2*R*C)\n", "disp('For an overdamped response')\n", "disp('a > w0')\n", "//On solving\n", "disp('Hence')\n", "disp('R<5ohm')\n", "disp('For an underdamped response')\n", "disp('a < w0')\n", "//On solving\n", "disp('Hence')\n", "disp('R>5ohm')" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 9.4: Graphical_Representation_of_Overdamped_response.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc\n", "//Example 9.4\n", "//Calculate settling time\n", "t=0:0.1:5\n", "ic=2*exp(-t)-4*exp(-t)\n", "plot(t,ic)\n", "xtitle('ic vs t','t in s','ic in A')\n", "//Let ts be the settling time\n", "//From the graph the maximum value is|-2|=2A\n", "//'ts' is the time when ic has decreased to 0.02A\n", "//On solving for 'ts'\n", "ts=-log(0.02/4)\n", "printf('ts=%3.2f s\n',ts)" ] } ], "metadata": { "kernelspec": { "display_name": "Scilab", "language": "scilab", "name": "scilab" }, "language_info": { "file_extension": ".sce", "help_links": [ { "text": "MetaKernel Magics", "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" } ], "mimetype": "text/x-octave", "name": "scilab", "version": "0.7.1" } }, "nbformat": 4, "nbformat_minor": 0 }