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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter6 Oscillators"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.3.1,Pg.no.199"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1.The minimum value of beta is 44.54\n",
+ "2.The value of resistor R= 21.6 Kohm\n",
+ "3.The value of capacitor is 4494.19 pF\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "from math import pi,sqrt\n",
+ "f=400.0\n",
+ "rc= 10.0\n",
+ "Rc= 40.0 \n",
+ "#Minimum value of beta is given by Bomin= 23+(4*Ro /R)+(29*R/Ro) \n",
+ "#For minimum beta Ro/R=2.7, we represent Ro/R=b\n",
+ "b=2.7\n",
+ "Bomin=23+(4*b)+(29*1/b)\n",
+ "Bomin=round(Bomin,2)\n",
+ "print '1.The minimum value of beta is',Bomin\n",
+ "#Determination of R and C components\n",
+ "#R0 is given by ( rc*Rc) /( rc+Rc)\n",
+ "R0=(rc*Rc)/(rc+Rc)\n",
+ "R=2.7* R0\n",
+ "print '2.The value of resistor R=',R,'Kohm'\n",
+ "c=1/(2*pi*f*R*sqrt(6+(4*b)))*10**9\n",
+ "c=round(c,2)\n",
+ "print '3.The value of capacitor is',c,'pF'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.3.2,Pg.no.200"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The value of capacitor is 767.44 pF\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "from math import pi,sqrt\n",
+ "#given\n",
+ "f=800.0\n",
+ "R0=18.0\n",
+ "#calculations\n",
+ "R=100.0\n",
+ "c=1/(2*pi*f*R*sqrt(6+(4*R0/R)))*10**9 #Capacitance in pF\n",
+ "c=round(c,2)\n",
+ "print 'The value of capacitor is',c,'pF'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.3.3,Pg.no.201"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The value of capacitor is 614.0 pF\n",
+ "1.The required open−circuit voltage gain is 30.16\n",
+ "2.The value of gm is 6.03 mS\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "f=1000.0\n",
+ "Ro=5.0\n",
+ "R=100.0\n",
+ "c=1/(2*pi*f*R*sqrt(6+(4*R0/R)))*10**9\n",
+ "c=round(c,1)\n",
+ "print 'The value of capacitor is',c,'pF'\n",
+ "#The required open−circuit voltage gain is\n",
+ "Ao= 29+23*(Ro/R)+4*(Ro/R)**2\n",
+ "Ao=round(Ao,2)\n",
+ "print'1.The required open−circuit voltage gain is',Ao\n",
+ "gm=Ao/Ro\n",
+ "gm=round(gm,2)\n",
+ "print '2.The value of gm is',gm,'mS'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.4.1,Pg.no.205"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1.The value of capacitor is 75.0 pF\n",
+ "2.The frequency of oscillation is 918881.49 Hz\n",
+ "3.The dynamic impedence of the tuned circuit 461880.22 ohm\n",
+ "4.The coil series resistance is 11.55 ohm\n",
+ "5.The value of gm is 1.15470052676e-05\n",
+ "6.The input resistance is 8660254.12 ohm\n",
+ "7.The frequency of oscillation is 918881.49 Hz\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "from math import pi,sqrt\n",
+ "L=400*10**-6 #inductsnce in H\n",
+ "c1= 100.0 #capaitance in pF\n",
+ "c2= 300.0 #in pF\n",
+ "Q=200.0\n",
+ "Ro= 5*10**3\n",
+ "Bo=100.0 #beta value\n",
+ "#The tuning capacitance is\n",
+ "Cs=(c1*c2/(c1+c2))\n",
+ "Cs=round(Cs,2)\n",
+ "print '1.The value of capacitor is',Cs,'pF'\n",
+ "#the frequency of oscillation is obtained as\n",
+ "f=1/(2*pi*sqrt(L*Cs*10**-12))\n",
+ "f=round(f,2)\n",
+ "print '2.The frequency of oscillation is',f,'Hz'\n",
+ "#The dynamic impedence of the tuned circuit\n",
+ "wo= 2*pi*f\n",
+ "Rd=Q/(wo*Cs*10**-12)\n",
+ "Rd=round(Rd,2)\n",
+ "print '3.The dynamic impedence of the tuned circuit',Rd,'ohm'\n",
+ "#The coil series resistance is\n",
+ "r=wo*L/Q\n",
+ "r=round(r,2)\n",
+ "print '4.The coil series resistance is',r,'ohm'\n",
+ "#The capacitor raio c= c1/c2=1/3, and therefore 1− c2/B0∗c1 = 1\n",
+ "#The starting value of gm is therefore given by\n",
+ "c= c1/c2\n",
+ "gm=(1/Ro)*c +(c+3+2)*(1/Rd)\n",
+ "print '5.The value of gm is',gm\n",
+ "#Assuming the input resistance is that of the transistor alone\n",
+ "R1=Bo/gm\n",
+ "R1=round(R1,2)\n",
+ "print '6.The input resistance is',R1,'ohm'\n",
+ "wo2=1/((L*Cs*10**-12)+(1/R1*Ro*c1*c2*10**-12*10**-12))\n",
+ "wo=sqrt(wo2)\n",
+ "f=wo/(2*pi)\n",
+ "f=round(f,2)\n",
+ "print '7.The frequency of oscillation is',f,'Hz'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.6.1,Pg.no.211"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The value of capacitor is 5.16 pF\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "Co=20.0 #in pF\n",
+ "Vd=-7 #reverse bias voltage in volt\n",
+ "#constant pottential of junction is 0.5\n",
+ "a=0.5 #for abrupt junction\n",
+ "Cd=Co/(1-(Vd/0.5))**a\n",
+ "Cd=round(Cd,2)\n",
+ "print 'The value of capacitor is',Cd,'pF'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.6.2,Pg.no.212"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1.The total tuning capacitor is 9.38 pF\n",
+ "2.The frequency of oscillation is 5196593.1 Hz\n",
+ "3.The total tuning capacitor is 3.99 pF\n",
+ "4.The frequency of oscillation is 7967713.03 Hz\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import pi,sqrt\n",
+ "#given\n",
+ "C1=300.0\n",
+ "C2=300.0\n",
+ "Cc=20.0\n",
+ "L=100.0\n",
+ "#calculations\n",
+ "# A) With zero applied bias , the total tuning capacitor is \n",
+ "Vd1=0\n",
+ "a=0.5\n",
+ "Co=20.0\n",
+ "Cd1=Co/(1-(Vd1/0.5))**a\n",
+ "Cs1=1/((1/C1)+(1/C2)+(1/Cc)+(1/Cd1))\n",
+ "Cs1=round(Cs1,2)\n",
+ "print '1.The total tuning capacitor is',Cs1,'pF'\n",
+ "#The frequency of oscillation is\n",
+ "f=1/(2*pi*sqrt(L*10**-6*Cs1*10**-12))\n",
+ "f=round(f,2)\n",
+ "print '2.The frequency of oscillation is',f,'Hz'\n",
+ "Vd2=-7\n",
+ "Cd2=Co/(1-(Vd2/0.5))**a\n",
+ "Cs2=1/((1/C1)+(1/C2)+(1/Cc)+(1/Cd2))\n",
+ "Cs2=round(Cs2,2)\n",
+ "print '3.The total tuning capacitor is',Cs2,'pF'\n",
+ "f=1/(2*pi*sqrt(L*10**-6*Cs2*10**-12))\n",
+ "f=round(f,2)\n",
+ "print '4.The frequency of oscillation is',f,'Hz'"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
generated by cgit (git 2.34.1) at 2024-12-20 17:07:13 +0000