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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:ea707a0cc7de0224e885823c97ef777e5b813dde41f39951ee0ed1ad37c83a74"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter7 - Low, High and Precise Resistance Measurements"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.1 - page7-24"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Resistance\n",
+ "#Given data :\n",
+ "R1=5.0 # in kohm\n",
+ "R2=7.0 # in kohm\n",
+ "R3=10.0 # in kohm\n",
+ "Rx=(R2*R3)/R1 \n",
+ "print \"Unknown resistance, Rx = \", Rx,\" kohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Unknown resistance, Rx = 14.0 kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.2 - page7-24"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Current\n",
+ "#Given data :\n",
+ "R1=1.5 # in kohm\n",
+ "R2=3.0 # in kohm\n",
+ "R3=5.0 # in kohm\n",
+ "R4=14.0 #in kohm\n",
+ "Rg=250.0 #in ohm\n",
+ "E=10.0 #in V\n",
+ "Vd=(E*R4)/(R2+R4) \n",
+ "Vc=(E*R3)/(R1+R3) \n",
+ "E_th=E*((R4/(R2+R4))-(R3/(R1+R3))) \n",
+ "R_th=((R1*R3)/(R1+R3))+((R2*R4)/(R2+R4)) \n",
+ "Ig=(E_th/((R_th*10**3)+Rg))*10**6 \n",
+ "print \"Current, Ig = \",round(Ig,2),\" micro A\"\n",
+ "# answer is wrong in book\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current, Ig = 140.15 micro A\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.3 - page7-26"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Deflection\n",
+ "#Given data :\n",
+ "s=8 #sensivity in mm/micro A\n",
+ "R1=1.0 # in kohm\n",
+ "R2=5.0 # in kohm\n",
+ "R3=2.0 # in kohm\n",
+ "R4=10.0 #in kohm\n",
+ "Rg=150.0 #in ohm\n",
+ "E=6.0 #in V\n",
+ "r=10.0 # unbalance resistance in ohm\n",
+ "del_r=10.0 # in kohm\n",
+ "R4_1=((R4*10**3)+r)*10**-3 \n",
+ "Vd=(E*R4_1)/(R2+R4_1) \n",
+ "Vc=(E*R3)/(R1+R3) \n",
+ "E_th=E*((R4_1/(R2+R4_1))-(R3/(R1+R3))) \n",
+ "R_th=((R1*R3)/(R1+R3))+((R2*R4)/(R2+R4)) \n",
+ "Ig=(E_th/((R_th*10**3)+Rg))*10**6 \n",
+ "d=Ig*s #deflection in mm\n",
+ "print \"Deflection is \",round(d,1), \" mm\"\n",
+ "#answer is wrong in the textbook\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Deflection is 2.6 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.4 - page7-28"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Current\n",
+ "#Given data :\n",
+ "R=500.0 #in ohm\n",
+ "Rg=150.0 # in ohm\n",
+ "del_r=10.0 # in ohm\n",
+ "E=6.0 #in V\n",
+ "E_th=(E*del_r)/(4*R) \n",
+ "R_th=R \n",
+ "Ig=(E_th/(R_th+Rg))*10**6 \n",
+ "print \"Current, Ig = \", round(Ig,3), \"micro A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current, Ig = 46.154 micro A\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.5 page7-29"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Supply voltage\n",
+ "#Given data :\n",
+ "R=120.0 #in ohm\n",
+ "del_r=1.0 # in ohm\n",
+ "E_th=10*10**-3 #in V\n",
+ "E=(E_th*4*R)/del_r \n",
+ "print \"Supply voltage, E = \", E,\" V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Supply voltage, E = 4.8 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.6 - page7-30"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Resistance\n",
+ "#Given data :\n",
+ "A=100.24 # in ohm\n",
+ "B=200.0 # in ohm\n",
+ "a=100.31 # in ohm\n",
+ "b=200.0 # in ohm\n",
+ "S=100.03 # in micro ohm\n",
+ "r=700.0 # in micro ohm\n",
+ "X=((A/b)*S)+(((r*b)/(r+a+b))*((A/B)-(a/b))) \n",
+ "print \"Unknown resistance, X = \", round(X,2), \"micro ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Unknown resistance, X = 50.09 micro ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.7 - page7-31"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Deflection\n",
+ "#Given data :\n",
+ "R_ab=100.0 # in ohm\n",
+ "R_bc=500.0 # in ohm\n",
+ "R_cd=1000.0 # in ohm\n",
+ "R_da=200.0 # in ohm\n",
+ "V=10.0 \n",
+ "VRg=200. # in ohm\n",
+ "del_CD=10.0 # in ohm\n",
+ "V_bd=V*((R_ab/(R_ab+R_bc))-(R_da/(R_da+R_cd+del_CD))) \n",
+ "R_bd=(((R_ab*R_bc)/(R_ab+R_bc))+((VRg*(R_cd+del_CD))/(VRg+R_cd+del_CD))) \n",
+ "I_G=(V_bd/(R_bd+VRg)) \n",
+ "s=5 #sensivity in micro A/mm\n",
+ "dg=I_G*10**6*s #deflection in mm\n",
+ "print \"Deflection is \",round(dg,0),\" mm\"\n",
+ "#answer is wrong in the textbook"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " Deflection is 153.0 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.8 - page7-32"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#LIMITING VALUE OF RESISTANCE\n",
+ "P=100.0 #OHMS\n",
+ "Q=P \n",
+ "S=230.0 #IN ohm\n",
+ "DP=0.02 #ERROR IN PERCENTAGE\n",
+ "DS=0.01 #IN PERCENTAGE\n",
+ "R=(P/Q)*S #unknown resistance in ohms\n",
+ "dr=(DP+DP+DS) #relative limiting error in unknow resistance in percentage \u00b1\n",
+ "drm=(dr/100)*R #magnitude of error\n",
+ "R1=R+drm #in ohms\n",
+ "R2=R-drm #in ohms\n",
+ "print \"Limiting value of unknow resistance is \", R2, \" ohm to \", R1, \" ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Limiting value of unknow resistance is 229.885 ohm to 230.115 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.9 - page7-33"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#Insulation resistance of cable\n",
+ "t=120.0 #in seconds\n",
+ "v1=300.0 #in volts\n",
+ "v2=100.0 #in volts\n",
+ "c=300.0 #capacitance in pf\n",
+ "r=t/(c)/math.log(v1/v2)#resistance in Mohm\n",
+ "print \"Resistance of cable is \", round(r,3),\" Mohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resistance of cable is 0.364 Mohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 19
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.10 - page7-33"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Resistance \n",
+ "g=2000.0 #in ohms\n",
+ "s=10.0 #in kohm\n",
+ "q1=40.0 #divisions\n",
+ "q2=46.0 #divisions\n",
+ "r=((q1/q2)*((s*10**3)+(g)))-g #in ohms\n",
+ "print \"Unknown resistance is \",round(r,2),\" ohm\"\n",
+ "#answer is wrong in the textbook\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Unknown resistance is 8434.78 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 21
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.11 - page7-34"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Resistance \n",
+ "t=200.0 # in V\n",
+ "i=0.5 #in A\n",
+ "ra=10.0 #in ohm\n",
+ "x=t/i #in ohm\n",
+ "r=x-ra #in ohm\n",
+ "print \"Unknown resistance is \",r,\" ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Unknown resistance is 390.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7.5.12 - page7-34"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Ammeter and voltmeter readings\n",
+ "t=200.0 # in V\n",
+ "i=0.5 #in A\n",
+ "ra=10.0 #in ohm\n",
+ "x=t/i #in ohm\n",
+ "r=x-ra #in ohm\n",
+ "sv=10 #sensivity in kohms / V\n",
+ "v=1000 #in V\n",
+ "rv=v*sv *10**-6 # in Mohm\n",
+ "rp=((rv*10**6)*r)/(rv*10**6+r) #in ohm\n",
+ "vr=((t*rp)/(ra+rp)) #voltmeter reading in V\n",
+ "vi=vr/rp #ammeter rading in A\n",
+ "print \"Voltmeter reading is \",round(vr,2),\" V\"\n",
+ "print \"Ammeter rading is \",round(vi,5),\" A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Voltmeter reading is 194.81 V\n",
+ "Ammeter rading is 0.51899 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 27
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file