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diff --git a/Electronic_Instrumentation_and_Measurements/Chapter8_2.ipynb b/Electronic_Instrumentation_and_Measurements/Chapter8_2.ipynb new file mode 100755 index 00000000..77ecc1b5 --- /dev/null +++ b/Electronic_Instrumentation_and_Measurements/Chapter8_2.ipynb @@ -0,0 +1,611 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# CHAPTER 8: INDUCTANCE AND CAPACITANCE MEASUREMENTS"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-1, Page Number: 194"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Since the measured terminal resistance is 134 kilo ohm, the circuit must consist of a\n",
+ "0.005 micro farad capacitor connected in parallel with a 134 kilo ohm resistor\n",
+ "For a series connected circuit, the terminal resistance will be much higher than 134 kilo ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "\n",
+ "C=0.005*10**-6 #in farad\n",
+ "Rs=8*10**3 #in ohm\n",
+ "f=1*10**3 #in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "\n",
+ "Xs=1/(2*math.pi*f*C) #Capacitvie Reactance in ohm\n",
+ "Rp=(Rs**2+Xs**2)/Rs #in ohm\n",
+ "Xp=(Rs**2+Xs**2)/Xs #in ohm\n",
+ "Cp=1/(2*math.pi*f*Xp) #in farad\n",
+ "\n",
+ "#Result\n",
+ "\n",
+ "print \"Since the measured terminal resistance is 134 kilo ohm, the circuit must consist of a\"\n",
+ "print round(Cp*10**6,3),\"micro farad capacitor connected in parallel with a\",int(Rp/1000),\"kilo ohm resistor\"\n",
+ "print \"For a series connected circuit, the terminal resistance will be much higher than 134 kilo ohm\"\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-2, Page Number: 199"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "For R3/R4=100:1, Cx= 10.0 micro farad\n",
+ "For R3/R4=1:100, Cx= 0.001 micro farad\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "C1=0.1*10**-6 #in farad\n",
+ "\n",
+ "#Calculation\n",
+ "\n",
+ "#For R3:R4=100:1\n",
+ "ratio=100.0/1 \n",
+ "Cx=C1*ratio #in farad \n",
+ "\n",
+ "print \"For R3/R4=100:1, Cx=\",round(Cx*10**6),\"micro farad\"\n",
+ "\n",
+ "#For R3:R4=1/100\n",
+ "ratio=1.0/100.0\n",
+ "Cx=C1*ratio #in farad \n",
+ "print \"For R3/R4=1:100, Cx=\",round(Cx*10**6,3),\"micro farad\"\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-3, Page Number: 202"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Cs= 0.272 micro farad\n",
+ "Rs= 183.8 ohm\n",
+ "Disspiation factor(D)= 0.031\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "R3=10*10**3 #in ohm\n",
+ "f=100 #in Hz\n",
+ "R1=125 #in ohm\n",
+ "R4=14.7*10**3 #in ohm \n",
+ "C1=0.4*10**-6 #in farad \n",
+ "\n",
+ "#Calculations \n",
+ "Cs=C1*R3/R4 #in farad\n",
+ "Rs=R1*R4/R3 #in ohm\n",
+ "D=2*math.pi*f*Cs*Rs #Dissipation factor \n",
+ "\n",
+ "#Results\n",
+ "print \"Cs=\",round(Cs*10**6,3),\"micro farad\"\n",
+ "print \"Rs=\",round(Rs,1),\"ohm\"\n",
+ "print \"Disspiation factor(D)=\",round(D,3)\n",
+ "\n",
+ "#****************************Note**********************************************\n",
+ "# The value for C1 as per the problem statement is 0.4 micro farad\n",
+ "#But while calculating, 0.1 micro farad value has been considered in text book\n",
+ "#C1 is taken to be 0.4 microfarad\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-4, Page Number: 204"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Cp= 0.068 micro farad\n",
+ "Rp= 551.3 kilo ohm\n",
+ "Dissipation Factor(D)= 4.24e-02\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "\n",
+ "C1=0.1*10**-6 #in farad\n",
+ "R3=10*10**3 #in ohm\n",
+ "R1=375*10**3 #in ohm \n",
+ "R4=14.7*10**3 #in ohm\n",
+ "f=100 #in farad\n",
+ "\n",
+ "#Calculations\n",
+ "Cp=C1*R3/R4 #in farad \n",
+ "Rp=R1*R4/R3 #in resistance\n",
+ "D=1/(2*math.pi*f*Cp*Rp) #Dissipation factor \n",
+ "\n",
+ "#Results\n",
+ "print \"Cp=\",round(Cp*10**6,3),\"micro farad\"\n",
+ "print \"Rp=\",round(Rp/1000,1),\"kilo ohm\"\n",
+ "print \"Dissipation Factor(D)=\",'%.2e' % D"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-5, Page Number: 204"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Rp= 2.98 mega ohm\n",
+ "Cp= 0.068 micro farad\n",
+ "R4= 14.7 kilo ohm\n",
+ "R1= 2.03 mega ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "#From Example 8-3,\n",
+ "Cs=0.068*10**-6 #in farad\n",
+ "Rs=183.8 #in ohm\n",
+ "f=100 #in Hz \n",
+ "R3=10*10**3 #in ohm\n",
+ "R1=10*10**3 #in ohm \n",
+ "\n",
+ "#Calculations\n",
+ "Xs=1/(2*math.pi*f*Cs) #in ohm\n",
+ "Rp=(Rs**2+Xs**2)/Rs #in ohm \n",
+ "Xp=(Rs**2+Xs**2)/Xs #in ohm\n",
+ "Cp=1/(2*math.pi*f*Xp) #in farad \n",
+ "R4=C1*R3/Cp #in ohm \n",
+ "R1=R3*Rp/R4 #in ohm\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"Rp=\",round(Rp*10**-6,2),\"mega ohm\"\n",
+ "print \"Cp=\",round(Cp*10**6,3),\"micro farad\"\n",
+ "print \"R4=\",round(R4/1000,1),\"kilo ohm\"\n",
+ "print \"R1=\",round(R1*10**-6,2),\"mega ohm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-6, Page Number: 207"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "R3= 1.0 kilo ohm\n",
+ "R1= 54.0 ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "\n",
+ "L1=100*10**-3 #in henry\n",
+ "R4=5*10**3 #in ohm\n",
+ "Ls=500*10**-3 #in henry\n",
+ "Rs=270 #in ohm \n",
+ "\n",
+ "#Calculations\n",
+ "R3=R4*L1/Ls #in ohm \n",
+ "R1=Rs*R3/R4 #in ohm\n",
+ "\n",
+ "#Results\n",
+ "print \"R3=\",R3/1000,\"kilo ohm\"\n",
+ "print \"R1=\",R1,\"ohm\"\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-7, Page Number: 209"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Ls= 63.0 mH\n",
+ "Rs= 1.34 kilo ohm\n",
+ "Q factor(Q)= 0.03\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "C3=0.1*10**-6 #in farad\n",
+ "R1=1.26*10**3 #in ohm\n",
+ "R3=470 #in ohm\n",
+ "R4=500 #in ohm\n",
+ "f=100 #in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "Ls=C3*R1*R4 #in henry \n",
+ "Rs=R1*R4/R3 #in ohm \n",
+ "Q=(2*math.pi*f*Ls)/Rs\n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"Ls=\",round(Ls*1000),\"mH\"\n",
+ "print \"Rs=\",round(Rs/1000,2),\"kilo ohm\"\n",
+ "print \"Q factor(Q)=\",round(Q,2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-8, Page Number: 210"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Lp= 63.0 mH\n",
+ "Rp= 8.4 kilo ohm\n",
+ "Q factor(Q)= 212.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "C3=0.1*10**-6 #in farad\n",
+ "R1=1.26*10**3 #in ohm\n",
+ "R3=75 #in ohm\n",
+ "R4=500 #in ohm\n",
+ "f=100 #in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "\n",
+ "Lp=C3*R1*R4 #in henry \n",
+ "Rp=R1*R4/R3 #in ohm\n",
+ "Q=Rp/(2*math.pi*f*Lp) #Quality factor \n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"Lp=\",round(Lp*1000),\"mH\"\n",
+ "print \"Rp=\",round(Rp/1000,2),\"kilo ohm\"\n",
+ "print \"Q factor(Q)=\",round(Q)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-9, Page Number: 211"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 47,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Rs= 0.187 ohm\n",
+ "Ls= 63.0 mH\n",
+ "R1= 1.26 kilo ohm\n",
+ "R3= 3.38 mega ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "\n",
+ "Lp=63*10**-3 #in henry\n",
+ "Rp=8.4*10**3 #in ohm \n",
+ "f=100 #in Hz\n",
+ "\n",
+ "#Calculations\n",
+ "Xp=2*math.pi*f*Lp #in ohm \n",
+ "Rs=Rp*Xp**2/(Xp**2+Rp**2) #in ohm\n",
+ "Xs=Xp*Rp**2/(Xp**2+Rp**2) #in ohm\n",
+ "Ls=Xs/(2*math.pi*f) #in henry\n",
+ "\n",
+ "R1=Ls/(C3*R4) #in ohm \n",
+ "R3=R1*R4/Rs #in ohm \n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"Rs=\",round(Rs,3),\"ohm\"\n",
+ "print \"Ls=\",round(Ls*10**3),\"mH\"\n",
+ "print \"R1=\",round(R1/1000,2),\"kilo ohm\"\n",
+ "print \"R3=\",round(R3*10**-6,2),\"mega ohm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-10, Page Number: 214"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 76,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Cx= 200.0 pF\n",
+ "Rx= 30.0 mega ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "R1=369.3*10**3 #in ohm\n",
+ "R3=10*10**3 #in ohm \n",
+ "R4=14.66*10**3 #in ohm \n",
+ "Rp=553.1*10**3 #in ohm\n",
+ "C1=0.1*10**-6 #in farad \n",
+ "Cp=0.068*10**-6 #in farad\n",
+ "\n",
+ "#Calcultions\n",
+ "Ceq=round(C1*R3/R4,10) #Cx+Cp, Equivalent parallel capacitance, in farad\n",
+ "Cx=Ceq-Cp #in farad\n",
+ "\n",
+ "Req=R1*R4/R3 #Equivalent resitance in ohm \n",
+ "\n",
+ "Rx=1/(1/Req-1/Rp) #in ohm\n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"Cx=\",round(Cx*10**12),\"pF\"\n",
+ "print \"Rx=\",round(Rx*10**-8,1)*100,\"mega ohm\"\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 8-11, Page Number: 221"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 83,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "When R=5 ohm, Xl=100 ohm\n",
+ "Vl= 2.0 V\n",
+ "Q= 20.0\n",
+ "\n",
+ "When R=10 ohm, Xl=100 ohm\n",
+ "V= 1.0\n",
+ "Q= 10.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "\n",
+ "E=100*10**-3 #in V\n",
+ "R=5 #in ohm\n",
+ "Xl=100 #in ohm\n",
+ "Xc=100 #in ohm\n",
+ "\n",
+ "#Calculations\n",
+ "I=E/R #At resonance, I is dependent only on R(A)\n",
+ "\n",
+ "Vl=I*Xl #in V\n",
+ "Vc=I*Xc #in V\n",
+ "Q=Vl/E #Quality Factor \n",
+ "print \"When R=5 ohm, Xl=100 ohm\"\n",
+ "print \"Vl=\",Vl,\"V\"\n",
+ "print \"Q=\",Q\n",
+ "#For the second coil\n",
+ "R=10 #in ohm \n",
+ "Xl=100 #in ohm\n",
+ "Xc=100 #in ohm \n",
+ "\n",
+ "I=E/R #At resonance, I is dependent only on R(A)\n",
+ "Vl=I*Xl #in V\n",
+ "Vc=I*Xc #in V\n",
+ "Q=Vl/E #Quality Factor \n",
+ "\n",
+ "print\n",
+ "print \"When R=10 ohm, Xl=100 ohm\"\n",
+ "print \"V=\",Vl\n",
+ "print \"Q=\",Q"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Exanoke 8-12, Page Number: 225"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 93,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "L= 110.0 micro henry\n",
+ "R= 8.8 ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "\n",
+ "C=147*10**-12 #in farad\n",
+ "f=1.25*10**6 #in Hz\n",
+ "Q=98.0 #Q Factor\n",
+ "\n",
+ "#Calculations \n",
+ "L=1/(C*(2*math.pi*f)**2) #in henry \n",
+ "R=(2*math.pi*f*L)/Q #in ohm\n",
+ "\n",
+ "#Results\n",
+ "print \"L=\",round(L*10**6),\"micro henry\"\n",
+ "print \"R=\",round(R,1),\"ohm\""
+ ]
+ }
+ ],
+ "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": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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