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diff --git a/electronic_instrumentation_by_H_S_Kalsi/Chap11.ipynb b/electronic_instrumentation_by_H_S_Kalsi/Chap11.ipynb new file mode 100755 index 00000000..39ebbba6 --- /dev/null +++ b/electronic_instrumentation_by_H_S_Kalsi/Chap11.ipynb @@ -0,0 +1,1005 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:3733f4bc277677bc2f9c52d22638fa67f4c2b3f988678afdd8082febee12d607"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 11 Bridges"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.1 Page no 323"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R2=15*10**3 #ohm\n",
+ "R3=40*10**3 #ohm\n",
+ "R1=10.0*10**3 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "Rx=(R2*R3)/R1\n",
+ "\n",
+ "#Result \n",
+ "print\"Value of unknown resistance is \",Rx*10**-3,\"Kohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of unknown resistance is 60.0 Kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.2 Page no 325"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=6 #Volts\n",
+ "R1=1.0*10**3 #ohm\n",
+ "R2=2.5*10**3 #ohm\n",
+ "R3=3.5*10**3 #ohm\n",
+ "R4=10*10**3 #ohm\n",
+ "Rg=300.0 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "Eth=E*((R4/(R2+R4))-(R3/(R1+R3)))\n",
+ "Rth=((R1*R3)/(R1+R3))+((R2*R4)/(R2+R4))\n",
+ "Ig=Eth/(Rth+Rg)\n",
+ "\n",
+ "#Result\n",
+ "print\"Current through galvanometer is \", round(Ig*10**6,0),\"micro A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current through galvanometer is 43.0 micro A\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.3 Page no 327"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=10 #Volts\n",
+ "r=35\n",
+ "R=700 #ohm\n",
+ "Rth=700 #ohm\n",
+ "Rg=125 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "Eth=E*r/(4.0*R)\n",
+ "Ig=Eth/(Rth+Rg)\n",
+ "print\"current through the galvanometer is \", round(Ig*10**6,1),\"micro A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "current through the galvanometer is 151.5 micro A\n"
+ ]
+ }
+ ],
+ "prompt_number": 30
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.4 Page no 331"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=5 #ohm\n",
+ "Rb=1 #ohm\n",
+ "Ra=1000.0 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "R2=R1/0.5\n",
+ "Rx=(Rb*R2)/Ra\n",
+ "\n",
+ "#Result\n",
+ "print\"Value of Rx is \",Rx,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of Rx is 0.01 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 33
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.5 Page no 333"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=5.0*10**3 #ohm\n",
+ "R2=5.0*10**3 #ohm\n",
+ "R3=5.0*10**3 #ohm\n",
+ "E=6 #Volts\n",
+ "RV=4.5*10**3 #ohm\n",
+ "r=500\n",
+ "\n",
+ "#Calculation\n",
+ "Rv=(R2*R3)/R1\n",
+ "es=E*((R3/(R1+R3))-(RV/(R2+RV)))\n",
+ "\n",
+ "#Result\n",
+ "print\"(i) The bridge is balanced when the temperature is 80 degree.\"\n",
+ "print\"The amplitude of the error signal at 60 degree \", round(es,3),\"V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(i) The bridge is balanced when the temperature is 80 degree.\n",
+ "The amplitude of the error signal at 60 degree 0.158 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.6 (a) Page no 337"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=10*10**3 #ohm\n",
+ "R2=50*10**3 #ohm\n",
+ "R3=100*10**3 #ohm\n",
+ "C3=100*10**-6 #farad\n",
+ "\n",
+ "#Calculation\n",
+ "Rx=(R2*R3)/R1\n",
+ "Cx=(R1*C3)/R2\n",
+ "\n",
+ "#Result\n",
+ "print\"The unknown capacitance is \", Cx*10**6,\"micro F\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The unknown capacitance is 20.0 micro F\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.6 (b) Page no 338"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=2000.0 #ohm\n",
+ "R2=2850.0 #ohm\n",
+ "R4=52 #ohm\n",
+ "C4=0.4*10**-6 #Farad\n",
+ "f=400 #Hz\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Rx=(R1*R4)/R2\n",
+ "Cx=(R2*C4)/R1\n",
+ "A=2*math.pi*f*Cx*Rx\n",
+ "\n",
+ "#Result\n",
+ "print\"Loss angle of capacitor is \", round(A,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Loss angle of capacitor is 0.052\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.7 Page no 339"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "L3=10*10**-3 #H\n",
+ "R1=10.0*10**3 #ohm\n",
+ "R2=40*10**3 #ohm\n",
+ "R3=100*10**3 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "Rx=(R2*R3)/R1\n",
+ "Lx=(R2*L3)/R1\n",
+ "\n",
+ "#Result\n",
+ "print\"Equivalent unknown resistance is \", Lx*10**3,\"mH\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Equivalent unknown resistance is 40.0 mH\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.8 (a) Page no 341"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "C1=0.01*10**-6 #Farad\n",
+ "R1=470.0*10**3 #ohm\n",
+ "R2=5.1*10**3 #ohm\n",
+ "R3=100*10**3 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "Rx=(R2*R3)/R1\n",
+ "Lx=R2*R3*C1\n",
+ "\n",
+ "#Result\n",
+ "print\"The value of unknown impedence \", Lx,\"H\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of unknown impedence 5.1 H\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.8 (b) Page no 341"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=32.7 #ohm\n",
+ "L1=50*10**-3 #H\n",
+ "R2=1.36 #ohm\n",
+ "R3=100.0 #ohm\n",
+ "R4=100 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "r=((R4*R1)/R3)-R2\n",
+ "L2=L1*(R4/R3)\n",
+ "\n",
+ "#Result\n",
+ "print\"Resistance of the coil is \",r,\"ohm \\nInductance of the coil is \" ,L2*10**3,\"mH\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resistance of the coil is 31.34 ohm \n",
+ "Inductance of the coil is 50.0 mH\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.9 (a) Page no 343"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "w=3000 #rad/s\n",
+ "R2=10*10**3 #ohm\n",
+ "R1=2*10**3 #ohm\n",
+ "C1=1*10**-6 #farad\n",
+ "R3=1*10**3 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "Rx=(w**2*R1*R2*R3*C1**2)/(1+w**2*R1**2*C1**2)\n",
+ "Lx=(R2*R3*C1)/(1+w**2*R1**2*C1**2)\n",
+ "\n",
+ "#Result\n",
+ "print\" series equivalent impedence is \", round(Lx*10**3,0),\"mH\",\"\\n Series equivqlent resistance is \",round(Rx*10**-3,2),\"Kohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " series equivalent impedence is 270.0 mH \n",
+ " Series equivqlent resistance is 4.86 Kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 27
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.9 (b) Page no 343"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R2=1000 #ohm\n",
+ "R3=16500 #ohm\n",
+ "R4=800 #ohm\n",
+ "C4=2*10**-6 #F\n",
+ "f=50 #Hz\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "w=2*math.pi*f\n",
+ "Lx=(R2*R3*C4)/(1+(w**2*C4**2*R4**2))\n",
+ "Rx=(w**2*C4**2*R4*R2*R3)/(1+w**2*C4**2*R4**2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Resistance of the coil is \", round(Rx*10**-3,1),\"Kohm\"\n",
+ "print\"Inductance of the coil is \",round(Lx,1),\"H\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resistance of the coil is 4.2 Kohm\n",
+ "Inductance of the coil is 26.3 H\n"
+ ]
+ }
+ ],
+ "prompt_number": 35
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.9 (c) Page no 345"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "C4=1*10**-6 #F\n",
+ "R2=1000 #ohm\n",
+ "w=314 #rad/s\n",
+ "R3=1000\n",
+ "R4=1000\n",
+ "\n",
+ "#Calculation\n",
+ "L1=(R3*R4*C4)/(1+(w**2*C4**2*R4**2))\n",
+ "Rx=(w**2*C4**2*R4*R2*R3)/(1+w**2*C4**2*R4**2)\n",
+ "\n",
+ "#Result\n",
+ "print\"unknown resistance is\" ,round(L1,2),\"H\"\n",
+ "print\"unknown inductance is\", round(Rx,2),\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "unknown resistance is 0.91 H\n",
+ "unknown inductance is 89.75 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.10 (a) Page no 346 "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "C1=0.5*10**-6 #farad\n",
+ "C3=0.5*10**-6 #farad\n",
+ "R2=2*10**3 #ohm\n",
+ "R1=1*10**3 #ohm\n",
+ "f=1000 #Hz\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Rx=(C1*R2)/C3\n",
+ "Cx=(R1*C3)/R2\n",
+ "D=2*math.pi*f*Cx*Rx\n",
+ "\n",
+ "#Result\n",
+ "print\" The unknown capacitance is \",Cx*10**6,\"micro farad\", \"\\n Dissipation factor is \",round(D,4)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " The unknown capacitance is 0.25 micro farad \n",
+ " Dissipation factor is 3.1416\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.10 (b) Page no 347"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R3=100.0 #ohm\n",
+ "R4=300 #ohm\n",
+ "C4=0.5*10**-6 #F\n",
+ "C2=100.0 #pf\n",
+ "f=50 #Hz\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "W=2*math.pi*f\n",
+ "C1=(R4/R3)*C2\n",
+ "R1=(C4/C2)*R3\n",
+ "Pf=W*R4*C4\n",
+ "\n",
+ "#Result\n",
+ "print\"Capacitance is \", C1,\"pF\"\n",
+ "print\"Equivalent series resistance is \",R1*10**6,\"Mohm\"\n",
+ "print\"PF of insulation is \",round(Pf,4)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Capacitance is 300.0 pF\n",
+ "Equivalent series resistance is 0.5 Mohm\n",
+ "PF of insulation is 0.0471\n"
+ ]
+ }
+ ],
+ "prompt_number": 19
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.10 (c) Page no 348"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R4=100 #ohm\n",
+ "C4=0.1 #micro F\n",
+ "C2=500 #pf\n",
+ "R3=300.0 #ohm\n",
+ "f=50 #Hz\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "W=2*math.pi*f\n",
+ "C1=(R4/R3)*C2\n",
+ "A=W*C4*R4*10**-5\n",
+ "\n",
+ "#Result\n",
+ "print\"The Capacitance is \",round(C1,1),\"pF\" \n",
+ "print\"Dielectric loss of angle is \",round(A*180/3.14,1),\"degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The Capacitance is 166.7 pF\n",
+ "Dielectric loss of angle is 1.8 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 40
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.10 (d) Page no 348"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "d=4.5*10**-3\n",
+ "f=50 #Hz\n",
+ "C2=105*10**-12\n",
+ "C4=0.5*10**-6 #F\n",
+ "R3=260.0 #ohm\n",
+ "R4=1000/3.14\n",
+ "K0=8.854*10**-12\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "W=2*math.pi*f\n",
+ "C1=(R4/R3)*C2\n",
+ "A=W*C4*R4\n",
+ "a=math.pi*(6*10**-2)**2\n",
+ "K=(C1*d)/(K0*a)\n",
+ "\n",
+ "#Result\n",
+ "print\"The capacitance is \",round(C1*10**12,1),\"pF\"\n",
+ "print\"Value of PF is \",round(A,3)\n",
+ "print\"Relative permittivity is \",round(K,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The capacitance is 128.6 pF\n",
+ "Value of PF is 0.05\n",
+ "Relative permittivity is 5.78\n"
+ ]
+ }
+ ],
+ "prompt_number": 63
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.10 (e) Page no 349"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R3=100 #ohm\n",
+ "R4=300 #ohm\n",
+ "C2=100.0 #pF\n",
+ "C4=0.5 #micro F\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "C1=(R4/R3)*C2\n",
+ "r1=R3*(C4/C2)\n",
+ "W=2*math.pi*f\n",
+ "C1=(R4/R3)*C2\n",
+ "A=W*C4*R4*10**-6\n",
+ "\n",
+ "#Result\n",
+ "print\"The value of capacitor is \",C1,\"pF\"\n",
+ "print\"PF of the capacitor is \",round(A,4)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of capacitor is 300.0 pF\n",
+ "PF of the capacitor is 0.0471\n"
+ ]
+ }
+ ],
+ "prompt_number": 71
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.10 (f) Page no 350"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=300 #ohm\n",
+ "R2=100.0 #ohm\n",
+ "C1=0.6*10**-6 # F\n",
+ "C3=100.0*10**-12 #F\n",
+ "\n",
+ "#Calculation\n",
+ "Rx=R2*(C1/C3)\n",
+ "C=(R1/R2)*C3\n",
+ "\n",
+ "#Result\n",
+ "print\"The value of series resistance is \", Rx*10**-5,\"Mohm\"\n",
+ "print\"The value of capacitance is \",C*10**12,\"pF\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of series resistance is 6.0 Mohm\n",
+ "The value of capacitance is 300.0 pF\n"
+ ]
+ }
+ ],
+ "prompt_number": 80
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.10 (g) Page no 350"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "C1=0.1*10**-6 #F\n",
+ "C2=0.25*10**-6 #F\n",
+ "R2=5000.0 #ohm\n",
+ "C3=0.25*10**-6 #F\n",
+ "f=2000 #Hz\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Rx=R2*(C1/C2)\n",
+ "C=(R1/R2)*C3\n",
+ "W=2*math.pi*f\n",
+ "A=W*C*Rx*10**-6\n",
+ "#Result\n",
+ "print\"The value of capacitance is \", round(C*10**7,1),\"micro F\"\n",
+ "print\"Dissipation factor is \", round(A*10**7,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of capacitance is 0.1 micro F\n",
+ "Dissipation factor is 3.77\n"
+ ]
+ }
+ ],
+ "prompt_number": 102
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.11 Page no 352"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=4.7*10**3 #ohm\n",
+ "R2=20*10**3 #ohm\n",
+ "R3=10*10**3 #ohm\n",
+ "R4=100*10**3 #ohm\n",
+ "C1=5*10**-9 #farad\n",
+ "C3=10*10**-9 #farad\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "f=1/(2.0*math.pi*(math.sqrt(C1*R1*R3*C3)))\n",
+ "print\"Frequency of the circuit is \", round(f*10**-3,3),\"KHz\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Frequency of the circuit is 3.283 KHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.12 Page no 353"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=3.1*10**3 #ohm\n",
+ "C1=5.2*10**-6 #farad\n",
+ "R2=25.0*10**3 #ohm\n",
+ "f=2.5*10**3 #ohm\n",
+ "R4=100.0*10**3 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "w=2*math.pi*f\n",
+ "R3=R4/R2*(R1+(1/w**2*R1*C1**2))\n",
+ "C3=R2/R4*(C1/(1+w**2*R1**2*C1**2))\n",
+ "\n",
+ "#CResult\n",
+ "print\" Equivalent parallel resistance is \",R3*10**-3,\"Kohm \",\"\\n Equivalent parallel capaciatnce is \", round(C3*10**12,1),\"pf\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " Equivalent parallel resistance is 12.4 Kohm \n",
+ " Equivalent parallel capaciatnce is 20.3 pf\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.13 Page no 353"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "C1=0.5*10**-6 #farad\n",
+ "R1=800.0 #ohm\n",
+ "C2=1.0*10**-6 #farad\n",
+ "R2=400 #ohm\n",
+ "R4=1000 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "f=1/(2.0*math.pi*math.sqrt(R1*C1*R2*C2))\n",
+ "R3=R4/((R2/R1)+(C1/C2))\n",
+ "\n",
+ "#Result\n",
+ "print\"(i) The value of frequency for which the bridge is balanced \", round(f*10**-3,3),\"KHz\"\n",
+ "print\"(ii) The value of R required to produce balance \",R3,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(i) The value of frequency for which the bridge is balanced 0.398 KHz\n",
+ "(ii) The value of R required to produce balance 1000.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 30
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11.14 Page no 359"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R2=200 #ohm\n",
+ "R3=1000 #ohm\n",
+ "R4=1000.0\n",
+ "C=10*10**-6 #Farad\n",
+ "r=496\n",
+ "\n",
+ "#Calculation\n",
+ "R1=(R2*R3)/R4\n",
+ "L1=(C*R3/R4)*(r*R4+R2*R4+r*R2)\n",
+ "\n",
+ "#Result\n",
+ "print\"The value of inductance is \", L1,\"H\"\n",
+ "print\"The value of resistance is \",R1,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of inductance is 7.952 H\n",
+ "The value of resistance is 200.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 108
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |