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+{
+ "metadata": {
+ "name": "",
+ "signature": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter6 - Oscilltions"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 6.1 - page 412"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import pi, sqrt\n",
+ "# Given data\n",
+ "R1= 50 # in kohm\n",
+ "R1=R1*10**3 # in ohm\n",
+ "R2=R1 # in ohm\n",
+ "R3=R2 # in ohm\n",
+ "C1= 60 # in pF\n",
+ "C1= C1*10**-12 # in F\n",
+ "C2=C1 # in F\n",
+ "C3=C2 # in F\n",
+ "f= 1/(2*pi*R1*C1*sqrt(6)) \n",
+ "print \"Frequency of oscilltions = %0.2f kHz\" %( f*10**-3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Frequency of oscilltions = 21.66 kHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 6.3 - page 416"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import pi\n",
+ "# Given data\n",
+ "f=2 # in kHz\n",
+ "f=f*10**3 # in Hz\n",
+ "# Let\n",
+ "R= 10 # in kohm (As R should be greater than 1 kohm)\n",
+ "R=R*10**3 # in ohm\n",
+ "# Formula f= 1/(2*pi*R*C)\n",
+ "C= 1/(2*pi*f*R) # in F\n",
+ "C= C*10**9 # in nF\n",
+ "# For Bita to be 1/3, Choose\n",
+ "R4= R # in ohm\n",
+ "R3= 2*R4 # in ohm\n",
+ "print \"Value of C = %0.2f nF\" %C\n",
+ "print \"Value of R3 = %0.f kohm\" %(R3*10**-3)\n",
+ "print \"Value of R4 = %0.f kohm\" %(R4*10**-3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of C = 7.96 nF\n",
+ "Value of R3 = 20 kohm\n",
+ "Value of R4 = 10 kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 6.4 - page 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "R1= 200 # in kohm\n",
+ "R1=R1*10**3 # in ohm\n",
+ "R2=R1 # in ohm\n",
+ "C1= 200 # in pF\n",
+ "C1= C1*10**-12 # in F\n",
+ "C2=C1 # in F\n",
+ "f= 1/(2*pi*R1*C1) # in Hz\n",
+ "print \"Frequency of oscilltions = %0.2f kHz\" %(f*10**-3)\n",
+ "\n",
+ "# Note: Calculation to find the value of f in the book is wrong, so answer in the book is wrong"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Frequency of oscilltions = 3.98 kHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 6.5 - page 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "L= 15 # in \u00b5H\n",
+ "L= L*10**-6 # in H\n",
+ "C1= .004 # in \u00b5F\n",
+ "C1= C1*10**-6 # in F\n",
+ "C2= .04 # in \u00b5F\n",
+ "C2= C2*10**-6 # in F\n",
+ "C= C1*C2/(C1+C2) # in F\n",
+ "f= 1/(2*pi*sqrt(L*C)) # in Hz\n",
+ "print \"Frequency of oscilltions = %0.1f kHz\" %(f*10**-3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Frequency of oscilltions = 681.5 kHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 6.7 - page 448"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "L= 0.01 # in H\n",
+ "C= 10 # in pF\n",
+ "C= C*10**-12 # in F\n",
+ "f= 1/(2*pi*sqrt(L*C)) # in Hz\n",
+ "print \"Frequency of oscilltions = %0.2f kHz\" %(f*10**-3)\n",
+ "# Note: Calculation to find the value of f in the book is wrong, so answer in the book is wrong"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Frequency of oscilltions = 503.29 kHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 6.8 - page 449"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "L= 0.8 # in H\n",
+ "\n",
+ "C= .08 # in pF\n",
+ "C= C*10**-12 # in F\n",
+ "C_M= 1.9 # in pF\n",
+ "C_M= C_M*10**-12 # in F\n",
+ "C_T= C*C_M/(C+C_M) # in F\n",
+ "R=5 # in kohm\n",
+ "f_s= 1/(2*pi*sqrt(L*C)) # in Hz\n",
+ "print \"Series resonant frequency = %0.f kHz\" %(f_s*10**-3)\n",
+ "# (ii)\n",
+ "f_p= 1/(2*pi*sqrt(L*C_T)) # in Hz\n",
+ "print \"Parallel resonant frequency = %0.f kHz\" %(f_p*10**-3)\n",
+ "# Note: Calculation to find the value of parallel resonant frequency in the book is wrong, so answer in the book is wrong"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Series resonant frequency = 629 kHz\n",
+ "Parallel resonant frequency = 642 kHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 6.9 - page 450"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "R1= 220 # in kohm\n",
+ "R1=R1*10**3 # in ohm\n",
+ "R2=R1 # in ohm\n",
+ "C1= 250 # in pF\n",
+ "C1= C1*10**-12 # in F\n",
+ "C2=C1 # in F\n",
+ "f= 1/(2*pi*R1*C1) \n",
+ "print \"Frequency of oscilltions = %0.2f Hz\" %f"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Frequency of oscilltions = 2893.73 Hz\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file