From 92cca121f959c6616e3da431c1e2d23c4fa5e886 Mon Sep 17 00:00:00 2001 From: hardythe1 Date: Tue, 7 Apr 2015 15:58:05 +0530 Subject: added books --- sample_notebooks/SantoshPawar/Chapter9.ipynb | 569 +++++++++++++++++++++++++++ 1 file changed, 569 insertions(+) create mode 100755 sample_notebooks/SantoshPawar/Chapter9.ipynb (limited to 'sample_notebooks/SantoshPawar/Chapter9.ipynb') diff --git a/sample_notebooks/SantoshPawar/Chapter9.ipynb b/sample_notebooks/SantoshPawar/Chapter9.ipynb new file mode 100755 index 00000000..1ffaf482 --- /dev/null +++ b/sample_notebooks/SantoshPawar/Chapter9.ipynb @@ -0,0 +1,569 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 09 : Transistor Biasing and Thermal Stabilization" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.1, Page No 55" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#initialisation of variables\n", + "Vcc=22.5 #in V\n", + "Rc=5.6 #in K\n", + "Re=1.0 #in K\n", + "R2=10.0 #in K\n", + "R1=90.0 #in K\n", + "B=55.0 #beta\n", + "\n", + "#Calculations\n", + "V=(R2*Vcc)/(R2+R1) #Thevenin Equivallent Voltage\n", + "Rb=(R2*R1)/(R2+R1) #Thevenin Equivallent Resistance\n", + "\n", + "#For base current large compared to reverse saturation current ie Ib>>Ico it follows that Ic=B*Ib\n", + "#Applying KVL to the base circuit\n", + "#0.65-2.25+Ic+10*Ib=0\n", + "#We have -1.60+Ic+(10/55)*Ic=0\n", + "\n", + "Ic=1.60/(65.0/55);\n", + "Ib=Ic/55.0\n", + "\n", + "#Applying KVL to the collector circuit yields\n", + "#-22.5+6.6*Ic+Ib+Vce\n", + "\n", + "Vce = 22.5-(6.6*1.36)-0.025\n", + "\n", + "#Results\n", + "print(\"The equivallent Vbb = %.2f Volts \" %V)\n", + "print(\"The equivallent Rb is = %.2f ohm \" %Rb)\n", + "print(\"As B=55 we have Ic=55*Ib \")\n", + "print(\" Ic= %.2f milli amp \" %Ic)\n", + "print(\"Ib= %.2f micro amp \" %Ib)\n", + "print(\"Vce= %.2f Volts \" %Vce)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The equivallent Vbb = 2.25 Volts \n", + "The equivallent Rb is = 9.00 ohm \n", + "As B=55 we have Ic=55*Ib \n", + " Ic= 1.35 milli amp \n", + "Ib= 0.02 micro amp \n", + "Vce= 13.50 Volts \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.2, Page No 61" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#initialisation of variables\n", + "Rc=4.0 #in K\n", + "Vcc=20.0 #in V\n", + "Vce=10.0 #in V\n", + "Ic=2.0 #in mA\n", + "#Ic varies from 1.75 to 2.25 and B(beta) varies from 36 to 90\n", + "Re = (Vcc-Vce)/Ic - Rc\n", + "#S=delta Ic/delta B\n", + "Ic2=2.25 #in mA\n", + "Ic1=1.75 #in mA\n", + "B2=90.0\n", + "B1=36.0\n", + "\n", + "#Calculations\n", + "S=(Ic2-Ic1)/(B2-B1)\n", + "S2=(S*36*(1+90))/1.75\n", + "#S2=(1+B)*(1+(Rb/Re))/(1+B+(Rb/Re))\n", + "Rb=(S2-1)*(1+B2)*Re/(1+B2-S2);\n", + "Vbe=0.65 #in V\n", + "V = Vbe + ((Rb+Re*(1+B1))*Ic1/B1);\n", + "R1=Rb*Vcc/V\n", + "R2=R1*V/(Vcc-V)\n", + "\n", + "#Results\n", + "print(\"S2 = %.2f K \" %S2)\n", + "print(\"Re = is %.2f B2=90 \" %Re)\n", + "print(\"Rb= %.2f K \" %Rb)\n", + "print(\"V = %.2f Volts \" %V)\n", + "print(\"R1= %.2f K \" %R1)\n", + "print(\"R2= %.2f K \" %R2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "S2 = 17.33 K \n", + "Re = is 1.00 B2=90 \n", + "Rb= 20.18 K \n", + "V = 3.43 Volts \n", + "R1= 117.67 K \n", + "R2= 24.35 K \n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.3a Page No 69" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#initialisation of variables\n", + "Re=4.7 #in K\n", + "Rb=7.75 #in K\n", + "B1=55.0 #/beta at 25degree C\n", + "Ic1=1.5 #in mA\n", + "Ico1=1.0\n", + "Vbe1=0.6 #in V\n", + "\n", + "#Part a\n", + "\n", + "Ico2=33000.0 #in nA\n", + "Vbe2=0.225 #in V\n", + "\n", + "#Calculations\n", + "M1=1/(1+(Rb/(Re*B1))) #Stability Factor\n", + "B2=100.0 #at 175degree C\n", + "M2=1/(1+(Rb/(Re*B2))) #Stability Factor\n", + "\n", + "print(\"Stabitity Factor at 25deree C= %.2f \" %M1)\n", + "print(\"Stabitity Factor at 175deree C= %.2f \" %M2)\n", + "\n", + "if M2>M1 :\n", + " M1=1.0\n", + " M2=1.0\n", + "\n", + "\n", + "#Let k = (delta Ic)/(Ic1)\n", + "k=(1+(Rb/Re))*(M1*(Ico2-Ico1)*(10**-9)/Ic1*(10**-3))-(M1*(Vbe2-Vbe1)/(Ic1*Re))+(1+(Rb/Re))*(M2*(B2-B1)/(B2*B1));\n", + "deltaIc=k*Ic1\n", + "print(\"Change in Collector Current at 175degree C is = %.2f mA\" %deltaIc)\n", + "\n", + "\n", + "#Given Data at -65degree C\n", + "Ico2=1.95*(10**-3)\n", + "B2=25.0\n", + "Vbe2=0.78\n", + "\n", + "M2=1/(1+(Rb/(Re*B2))) #Stability Factor\n", + "print(\"Stabitity Factor at -65deree C= %.2f \" %M2)\n", + " \n", + "#Let k = (delta Ic)/(Ic1)\n", + "k=(1+(Rb/Re))*(M1*(Ico2-Ico1)*(10**-9)/Ic1*(10**-3))-(M1*(Vbe2-Vbe1)/(Ic1*Re))+(1+(Rb/Re))*(M2*(B2-B1)/(B2*B1))\n", + "deltaIc=k*Ic1\n", + "\n", + "#Results\n", + "print(\"Change in Collector Current at -65degree C is = %.2f mA\" %deltaIc)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stabitity Factor at 25deree C= 0.97 \n", + "Stabitity Factor at 175deree C= 0.98 \n", + "Change in Collector Current at 175degree C is = 0.11 mA\n", + "Stabitity Factor at -65deree C= 0.94 \n", + "Change in Collector Current at -65degree C is = -0.12 mA\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.3b, Page No 70" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#initialisation of variables\n", + "Re=4.7 #in K\n", + "Rb=7.75 #in K\n", + "B1=55.0 #/beta at 25degree C\n", + "Ic1=1.5 #in mA\n", + "Ico1=1.0\n", + "Vbe1=0.6 #in V\n", + "\n", + "\n", + "#Part a\n", + "\n", + "Ico2=33000.0 #in nA\n", + "Vbe2=0.225 #in V\n", + "\n", + "#Calculations\n", + "M1=1/(1+(Rb/(Re*B1))) #Stability Factor\n", + "#Given Data at -65degree C\n", + "Ico2=1.95*(10**-3)\n", + "B2=25.0 #at -65degree C\n", + "Vbe2=0.78\n", + "M2=1/(1+(Rb/(Re*B2))) #Stability Factor\n", + "\n", + "#Let k = (delta Ic)/(Ic1)\n", + "k=(1+(Rb/Re))*(M1*(Ico2-Ico1)*(10**-9)/Ic1*(10**-3))-(M1*(Vbe2-Vbe1)/(Ic1*Re))+(1+(Rb/Re))*(M2*(B2-B1)/(B2*B1));\n", + "deltaIc=k*Ic1\n", + "\n", + "\n", + "\n", + "#Given Data\n", + "Ico2=32.0 #in nA\n", + "Vbe2=0.10 #in V\n", + "M1=1/(1+(Rb/(Re*B1))) #Stability Factor\n", + "print(\"Stabitity Factor at 25deree C= %.2f \" %M1)\n", + "B2=90.0 #at 175degree C\n", + "M2=1/(1+(Rb/(Re*B2))) #Stability Factor\n", + "print(\"Stabitity Factor at 75deree C= %.2f \" %M2)\n", + "\n", + "if M2>M1 :\n", + " M1=1.0\n", + " M2=1.0\n", + "\n", + "#Let k = (delta Ic)/(Ic1)\n", + "k=(1+(Rb/Re))*(M1*(Ico2-Ico1)*(10**-9)/Ic1*(10**-3))-(M1*(Vbe2-Vbe1)/(Ic1*Re))+(1+(Rb/Re))*(M2*(B2-B1)/(B2*B1));\n", + "deltaIc=k*Ic1\n", + "print(\"Change in Collector Current at 75degree C is = %.2f mA\" %deltaIc)\n", + "\n", + "#Given Data at -65degree C\n", + "Ico2=1.95*(10**-3)\n", + "B2=20.0\n", + "Vbe2=0.38\n", + "\n", + "M2=1/(1+(Rb/(Re*B2))) #Stability Factor\n", + "print(\"Stabitity Factor at -65deree C= %.2f \" %M2)\n", + " \n", + " \n", + "#Let k = (delta Ic)/(Ic1)\n", + "k=(1+(Rb/Re))*(M1*(Ico2-Ico1)*(10**-9)/Ic1*(10**-3))-(M1*(Vbe2-Vbe1)/(Ic1*Re))+(1+(Rb/Re))*(M2*(B2-B1)/(B2*B1));\n", + "deltaIc=k*Ic1\n", + "print(\"Change in Collector Current at -65degree C is = %.2f mA\" %deltaIc)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stabitity Factor at 25deree C= 0.97 \n", + "Stabitity Factor at 75deree C= 0.98 \n", + "Change in Collector Current at 75degree C is = 0.13 mA\n", + "Stabitity Factor at -65deree C= 0.92 \n", + "Change in Collector Current at -65degree C is = -0.07 mA\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.4 Page No 71" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#initialisation of variables\n", + "\n", + "B1=150.0 #beta\n", + "Ico1=50.0 #in nA\n", + "\n", + "#Given Data at 65degree C\n", + "B2=1200.0 #beta\n", + "Ico2=3.0 #in micro A\n", + "\n", + "Vbe=0.65 #in mV\n", + "Vcc=20.0 #in V\n", + "M=1.0 \n", + "#Assumption: Each factor Ico,B, and Vbe cuses the same percentge change(5%)\n", + "\n", + "#Let Rb/Re=k\n", + "#(1+k)*((1200-150)/(1200*150))=0.05\n", + "\n", + "\n", + "#Calculations\n", + "k=((0.05)*((1200*150)/(1200-150)))-1\n", + "print(\"Rb/Re = %.2f \" %k)\n", + "#Let us check our assumption\n", + "\n", + "if M>(1.0/(1+(k/B1))) :\n", + " M=1.0\n", + "\n", + "#(1+(Rb/Re))*((Ico2-Ico1)/Ic1)=0.05 Since Ico2>>Ico1, we consider only Ico2\n", + "\n", + "Ic1=((1+k)*Ico2)/(0.05*1000)\n", + "print(\"Ic1= %.2f mA \" %Ic1)\n", + "\n", + "#Vbe changes 2.5mV/degree\n", + "DVbe=2.5*40\n", + "#Total increment\n", + "dVbe=2*DVbe*(10**-3)\n", + "\n", + "#Let l=(Ic1*Re)\n", + "l=dVbe/0.05\n", + "\n", + "Re=l/Ic1\n", + "print(\"Re= %.2f \" %Re)\n", + "Rb=k*Re\n", + "print(\"Rb= %.2f \" %Rb)\n", + "\n", + "B=(B1+B2)/2 #beta\n", + "V=((Ic1/B)*Rb)+(Vbe)+(((Ic1/B)+Ic1)*Re)\n", + "print(\"V= %.2f Volts\" %V)\n", + "R1=(Rb*Vcc)/V\n", + "R2=(R1*V)/(Vcc-V)\n", + "\n", + "#Results\n", + "print(\"R1= %.2f ohm\" %R1)\n", + "print(\"R2= %.2f ohm\" %R2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Rb/Re = 7.55 \n", + "Ic1= 0.51 mA \n", + "Re= 7.80 \n", + "Rb= 58.87 \n", + "V= 4.70 Volts\n", + "R1= 250.47 ohm\n", + "R2= 76.96 ohm\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.5 Page No 78" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#initialisation of variables\n", + "\n", + "Vcc=30.0 #in V\n", + "Rc=2.0 #in K\n", + "Re=4.7 #in K\n", + "Ic=1.5 #in mA\n", + "\n", + "#We know that dPc/dIc = Vcc - (2*Ic*(Rc+Re))\n", + "#Let D=dPc/dIc\n", + "\n", + "D = Vcc - (2*Ic*(Re+Rc))\n", + "\n", + "print('Ic increases by 0.131mA over a temprature range of 35 to 75 degree C')\n", + "print('theta<(A=(dPc/dIc)*(dIc/dTc))')\n", + "A=D*((0.131*(10^-3))/(75-25))\n", + "\n", + "#Results\n", + "print(\"theta< %.2f degreeC/W \" %(1.0/A))\n", + "print('The upper bound on theta is so high that transistor would not violate it and therefore circuit will be safe from thermal runaway')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Ic increases by 0.131mA over a temprature range of 35 to 75 degree C\n", + "theta<(A=(dPc/dIc)*(dIc/dTc))\n", + "theta< -4.28 degreeC/W \n", + "The upper bound on theta is so high that transistor would not violate it and therefore circuit will be safe from thermal runaway\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.6a, Page No 79 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#initialisation of variables\n", + "B=100.0 #beta\n", + "Ico=-5.0 #in mA\n", + "Ic=-1.0 #in mA\n", + "Vcc=40.0 \n", + "Re=5.0 #in ohm\n", + "Rc=10.0 #in ohm\n", + "\n", + "\n", + "#Calculations\n", + "#Ic= BIb + (1+B)*Ico\n", + "#Ic=B(Ib+Ico)\n", + "Ib=-(Ic/B)+Ico\n", + "\n", + "print(\"Ib= %.2f mA \" %Ib)\n", + "#Neglecting Vbe\n", + "Rb=(5-Vcc)/(Ib*0.001)\n", + "print(\"Rb= %.2f ohm \" %Rb)\n", + "\n", + "Vce=Vcc-15\n", + "if Vce>(Vcc/2) :\n", + " S=(1+B)*(1+(Rb/Re))/(1+B+(Rb/Re))\n", + " print(\"Stability Factor is= %.2f \" %S)\n", + "\n", + "A=-(Vcc+(2*Ic*(Re+Rc)))*(S)*(0.007*Ico*0.01)\n", + "\n", + "\n", + "#Results\n", + "print(\"theta< %.2f degreeC/W \" %(1.0/A))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Ib= -4.99 mA \n", + "Rb= 7014.03 ohm \n", + "Stability Factor is= 94.28 \n", + "theta< 3.03 degreeC/W \n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.6b Page No 80" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "#initialisation of variables\n", + "B=100.0 #beta\n", + "Ico=-5.0 #in mA\n", + "Ic=-1.0 #in mA\n", + "Vcc=40.0 \n", + "Re=5.0 #in ohm\n", + "Rc=10.0 #in ohm\n", + "\n", + "#Calculations\n", + "#Ic= BIb + (1+B)*Ico\n", + "#Ic=B(Ib+Ico)\n", + "Ib=-(Ic/B)+Ico\n", + "\n", + "#Neglecting Vbe\n", + "Rb=(5-Vcc)/(Ib*0.001)\n", + "\n", + "Vce=Vcc-15\n", + "if Vce>(Vcc/2) :\n", + " S=(1+B)*(1+(Rb/Re))/(1+B+(Rb/Re))\n", + " print(\"Stability Factor is= %.2f \" %S)\n", + "\n", + "A=-(Vcc+(2*Ic*(Re+Rc)))*(S)*(0.007*Ico*0.01)\n", + "\n", + "\n", + "#Results\n", + "print(\"theta< %.2f degreeC/W \" %(1.0/A))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Ib= -4.99 mA \n", + "Rb= 7014.03 ohm \n", + "Stability Factor is= 94.28 \n", + "theta< 3.03 degreeC/W \n" + ] + } + ], + "prompt_number": 15 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit