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diff --git a/Radio_Frequency_Circuit_Design_by_R_Ludwig_And_G_Bogdanov/1-Introduction.ipynb b/Radio_Frequency_Circuit_Design_by_R_Ludwig_And_G_Bogdanov/1-Introduction.ipynb new file mode 100644 index 0000000..33bf5e0 --- /dev/null +++ b/Radio_Frequency_Circuit_Design_by_R_Ludwig_And_G_Bogdanov/1-Introduction.ipynb @@ -0,0 +1,204 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 1: Introduction" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.1: Intrinsic_wave_impedance.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"mu0=4*%pi*10^-7;// defining permeability of free space\n", +"epsilon0=8.85*10^-12;// defining permittivity of free space\n", +"z0=sqrt(mu0/epsilon0);// calculating intrinsic impedance\n", +"epsilonr=4.6;// defining relative permittivity\n", +"vp=1/sqrt(mu0*epsilon0*epsilonr);// calculating phase velocity\n", +"f1=30*10^6;\n", +"f2=3*10^9;\n", +"lambda1=vp/(f1);\n", +"lambda2=vp/(f2);\n", +"disp('metre',lambda1,'Wavelength corresponding to f1');//displaying wavelengths\n", +"disp('metre',lambda2,'Wavelength corresponding to f2');//displaying wavelengths" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.2: Comparing_Inductances_at_different_frequencies.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"mu0=4*%pi*10^-7;\n", +"a=8*2.54*10^-5; //radius of copper wire\n", +"sigmac=64.5*10^6; //conductivity of copper\n", +"l=2*10^-2; //length of wire\n", +"rdc=l/(%pi*a*a*sigmac);\n", +"f1=100*10^6;\n", +"f2=2*10^9;\n", +"f3=5*10^9;\n", +"skindepth1=1/sqrt(%pi*mu0*f1*sigmac);\n", +"skindepth2=1/sqrt(%pi*mu0*f2*sigmac);\n", +"skindepth3=1/sqrt(%pi*mu0*f3*sigmac);\n", +"Lin1=(a*rdc)/(2*skindepth1*2*%pi*f1); //internal inductance\n", +"Lin2=(a*rdc)/(2*skindepth2*2*%pi*f2); //internal inductance\n", +"Lin3=(a*rdc)/(2*skindepth3*2*%pi*f3); //internal inductance\n", +"temp=log(2*l/a)/log(%e);\n", +"Lex=mu0*l*(temp-1)/(2*%pi); //external inductance\n", +"disp('metre',skindepth1,'Skin depth at f1');\n", +"disp('metre',skindepth2,'Skin depth at f2');\n", +"disp('metre',skindepth3,'Skin depth at f3');\n", +"disp('Henry',Lin1,'Internal inductance at f1');\n", +"disp('Henry',Lin2,'Internal inductance at f2');\n", +"disp('Henry',Lin3,'Internal inductance at f3');\n", +"disp('Henry',Lex,'External inductance');" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.3: Frequency_response_of_high_frequency_resistor.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"f=10^4:10^5:10^10;\n", +"w=2*%pi.*f;\n", +"mu0=4*%pi*10^-7;\n", +"l=2*2.5*10^-2;\n", +"a=2.032*10^-4;\n", +"temp=log(2*l/a)/log(%e);\n", +"lex=mu0*l*(temp-1)/(2*%pi); //external inductance\n", +"r=2*10^3; // resistance\n", +"c=5*10^-12; //capacitance\n", +"z=w*lex*%i+1 ./(w*c*%i+1/r); //impedance\n", +"plot2d('gll',f,abs(z));\n", +"title('High frequency impedance behaviour of a 2k ohm metal film resistor ');\n", +"xlabel('Frequency (f) in Hz');\n", +"ylabel('Absolute Impedance (|Z|) in ohms');" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.4: Frequency_response_of_high_frequency_capacitor.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"f=10^6:10^7:10^10;\n", +"rs=(4.8*10^-6).*sqrt(f);\n", +"re=(33.9*10^12) ./f;\n", +"c=47*10^-12;\n", +"w=2*%pi.*f;\n", +"l=2*1.25*10^-2;\n", +"a=2.032*10^-4;\n", +"temp=log(2*l/a)/log(%e);\n", +"lex=mu0*l*(temp-1)/(2*%pi); //external inductance\n", +"z=1 ./(1 ./re +w*c*%i)+rs+w.*lex*%i; // impedance of frequency dependent capacitor\n", +"zideal=1 ./(w*c*%i); //impedance of an ideal capacitor\n", +"plot2d('gll',f,abs(z));\n", +"plot2d(f,abs(zideal));\n", +"title('Frequency responce of a high frequency capacitor');\n", +"xlabel('Frequency (f) in Hz');\n", +"ylabel('Absolute impedance (|Z|) in ohms');" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.5: frequency_response_of_high_frequency_inductor.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"f=10^7:10^8:10^10;\n", +"w=2*%pi.*f;\n", +"N=3.5; //number of turns\n", +"rad=0.05*0.0254;\n", +"len=0.05*0.0254; //length of wire\n", +"a=(5*0.0254*10^-3)/2;\n", +"u0=4*%pi*10^-7;\n", +"sig_cu=64.516*10^6;\n", +"e0=8.854*10^-12;\n", +"l=(%pi*rad^2*u0*(N^2))/len;\n", +"c=(e0*4*%pi*rad*(N^2)*a)/len;\n", +"r=(2*rad*N)/(sig_cu*(a^2));\n", +"z=1 ./((1 ./(r+w*%i*l))+w*%i*c); //impedance\n", +"zideal=w*%i.*l; //impedance of an ideal inductor\n", +"plot2d('gll',f,abs(z));\n", +"plot2d(f,abs(zideal));\n", +"title('Frequency response of the impedance of an RFC');\n", +"xlabel('Frequency (f) in Hz');\n", +"ylabel('Absolute Impedance (|Z|) in ohms');" + ] + } +], +"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 +} |