{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 2: Capacitance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.10: calculating_H_field_intensity.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "i=0.1; //current in Ampere\n", "r=0.05; //radius in metre\n", "h=(i*100)/(2*(%pi)*r); //calculating h\n", "disp(h,'H field intensity for 100 turns in A/metre = '); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.11: calculating_H_field_intensity.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Radius is doubled.Therefore, H filed becomes half = 16 A/metre.'); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.12: calculating_H_field_intensity.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('H field at the center is nearly the same.'); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.13: calculating_H_field_intensity.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "i=10; //current\n", "r=0.005; //radius in metre\n", "h1=(i)/(4*2*(%pi)*r); //at half radius H is (1/4)th\n", "disp(h1,'H field intensity at one half of radius in A/metre = '); //displaying result\n", "h2=(i)/(2*(%pi)*0.01); //calculating H at surface\n", "disp(h2,'H field intensity at surface in A/metre = '); //displaying result\n", "disp('H field intensity is proportional to radius.Therefore, it is zero at the center.'); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.14: calculating_time.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "v=2; //voltage in volts\n", "l=10^-3; //inductance in Henry\n", "i=10*10^-3; //current\n", "di=v/l; //change in current in A/sec\n", "t=i/di; //calculating time\n", "disp(t,'Time required to reach 0.01 A in sec = '); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.15: calculating_energy.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "v=2; //voltage in volts\n", "l=10^-3; //inductance in Henry\n", "i=10*10^-3; //current\n", "e=(1/2)*l*i*i; //calculating energy\n", "disp(e,'Energy in Joule = '); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.16: calculating_H_field.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "p=20*10^-2; //path length in metre\n", "m=20000; //relative permeability of magnetic material\n", "i=2*10^-3; //current in Ampere\n", "n=500; //no of turns\n", "h=n*i; //calculating A/turn for 20 cm\n", "disp(h,'H for 20 cm in A/turn = '); //displaying result\n", "a=h/(20*10^-2); //calculating H per metre\n", "disp(a,'H field per metre in A/metre = '); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.17: calculating_B_field.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "mo=(4*(%pi)*10^-7); //relative permeability of free space\n", "p=20*10^-2; //path length in metre\n", "m=20000; //relative permeability of magnetic material\n", "i=2*10^-3; //current in Ampere\n", "n=500; //no of turns\n", "H=n*i; //calculating A/turn for 20 cm\n", "disp(H,'H for 20 cm in A/turn = '); //displaying result\n", "a=H/(20*10^-2); //calculating H per metre\n", "disp(a,'H field per metre in A/metre = '); //displaying result\n", "B=(m*mo*a); //calculating flux\n", "disp(B,'Flux in Tesla = '); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.18: calculating_flux.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "area=5*10^-4; //area\n", "mo=(4*(%pi)*10^-7); //relative permeability of free space\n", "p=20*10^-2; //path length in metre\n", "m=20000; //relative permeability of magnetic material\n", "i=2*10^-3; //current in Ampere\n", "n=500; //no of turns\n", "H=n*i; //calculating A/turn for 20 cm\n", "disp(H,'H for 20 cm in A/turn = '); //displaying result\n", "a=H/(20*10^-2); //calculating H per metre\n", "disp(a,'H field per metre in A/metre = '); //displaying result\n", "B=(m*mo*a); //calculating flux\n", "disp(B,'Flux in Tesla = '); //displaying result\n", "l=B*area; //calculating flux density\n", "disp(l,'Flux Density in Weber/metre = '); //diaplaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.19: calculating_time.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "v=0.04; //voltage per turn in Volt\n", "area=5*10^-4; //metre square\n", "B=v/area; //calculating B\n", "disp(B,'B in Tesla/sec = '); //displaying result\n", "H=B/(4*(%pi)*10^-7*20000); //calculating H\n", "disp(H,'H in A/m = '); //displaying result\n", "disp('Therefore, for 500 turns and 20 cm = 1.27 A/sec.25.4 ms for 20 mA and 38.1 ms for 30 mA'); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.1: calculating_capacitance.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Example 2.1');\n", "v=3000; //volume in metre cube.\n", "theta=0.2; //theta in owu(open window unit).\n", "s=1850; //area in metre cube.\n", "as=theta*s; //calculating total absorbtion of surface.\n", "T=(0.165*v)/as //calculating T using Sabine formula\n", "disp(T,'Reverberation time of Room = '); //Displaying Result." ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.20: calculating_lowest_frequency_square_wave.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "phi=0.5; //flux density in Tesla\n", "v=10; //peak to peak voltage\n", "disp('At 80 Tesla/sec it takes 1/160 sec to reach 0.5 Tesla.Therefore,to reach maximum B in opposite sense and return to zero it will take 4/160 sec.'); //displaying result\n", "disp('This is a frequency of 40 Hz.'); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.21: calculating_energy.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "v=7.5*10^-5; //volume in metre cube\n", "b=1; //flux in tesla\n", "mo=4*(%pi)*10^-7; //permeability of free space\n", "m=20000; //permeability of material\n", "h=b/(m*mo); //calculating field intensity\n", "e=(1/2)*b*h*v; //calculating energy\n", "disp(e,'Energy in Joule = '); //displaying energy" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.22: calculating_H_field.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "v=7.5*10^-5; //volume in metre cube\n", "b=1; //flux in tesla\n", "mo=4*(%pi)*10^-7; //permeability of free space\n", "m=20000; //permeability of material\n", "h=b/(m*mo); //calculating field intensity\n", "e=(1/2)*b*h*v; //calculating energy\n", "disp(e,'Energy in Joule = '); //displaying energy\n", "disp(h,'Field in the gap = '); //displaying field intensity\n", "disp(h*10^-2,'Current per metre = Therefore in the gap of 0.001 m current required in mA = '); //displaying result" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.2: calculating_charge.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Example 2.2');\n", "v=120000; //volume in metre cube.\n", "t=1.5; //time in second.\n", "s=25000; //area in metre cube.\n", "a=(0.16*v)/(t*s); //using Sabine formula for calculating a\n", "disp(a,'Average Absorbing Power of Surface = '); //Displaying Result." ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.3: calculating_D.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Example 2.3');\n", "v=6000 //Volume in metre cube.\n", "as=20 //surface absorbtion in owu(open window unit).\n", "T=(0.165*v)/(as); //calculating T using Sabine Formula.\n", "disp(T,'Reverberation Time = '); //Displaying Result." ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.4: calculating_current.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Example2.4');\n", "v=3500; //volume in metre cube.\n", "n1=370-300; //no. of audience on wooden seats.\n", "n2=300-70; //no. of empty wooden seats.\n", "a1s1=0.04*60; //absorption due to wooden doors.\n", "a2s2=0.03*700; //absorption due to plastered walls.\n", "a3s3=0.06*50; //absorption due to glass work.\n", "a4s4=4.2*370; //absorption due to audience on spungy and wooden \n", "//seats.\n", "a5s5=2*230; //absorption due to empty seats.\n", "sum=a1s1+a2s2+a3s3+a4s4+a5s5; //total absorption of cinema hall.\n", "T=(0.165*v)/sum; //calculating T using Sabine Formula.\n", "disp(T,'Reverberation Time = '); //Displaying Result." ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.5: calculating_time_constant.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Example 2.5');\n", "l=10; //length in centimetres.\n", "Y=20*10^11; //Young's Modulus in dyne/cm square.\n", "R=8; //Density in gram/cc\n", "n=(1/(2*l))*sqrt(Y/R); //calculating frequency of vibration using \n", "//young's modulus.\n", "disp(n,'Frequency of vibration in Hz.'); //Displaying Result. " ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.6: calculating_voltage.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Example 2.7');\n", "t=0.1; //thickness in centimetre.\n", "Y=8.75*10^11; //Young's Modulus in dyne/cm square.\n", "R=2.654; //Density in gram/cm square.\n", "n=(1/(2*t))*sqrt(Y/R); //calculating frequency using Young's modulus.\n", "disp(n,'Frequency of Vibration in Hz = '); //Displaying Result." ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.7: calculating_resistance.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Example 2.7');\n", "K=2.026*10^9; //Bulk Modulus in N/m square.\n", "R=10^3; //Density in Kg/m cube.\n", "V=sqrt(K/R); //Calculating speed using Bulk Modulus.\n", "disp(V,'Velocity of sound waves in water in m/sec = '); //displaying result." ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.8: calculating_energy.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "disp('Example 2.8');\n", "Y=1.41; //Young's Modulus.\n", "R=1.293*10^-3; //Density of air in g/centimetre cube.\n", "P=76*13.6*980; //atmospheric pressure in dyne/cm square.\n", "V=sqrt((Y*P)/R); //calculating speed using young's modulus.\n", "disp(V,'Speed of ultrasonic wave in air at n.t.p. in cm/sec = '); //displaying result. \n", "disp(V*10^-2,'Speed in m/sec'); //displaying result." ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2.9: finding_H_field_intensity.sce" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "clc;\n", "r=0.1; //in metre\n", "H=3/(2*(%pi)*r); //calculating H field intensity\n", "disp(H,'H field intensity in A/metre = '); //displaying result" ] } ], "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 }