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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:fc56911ca78177974b04004faec461a6b97c01b43d461299fb0cf06eea3ba6da"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter4 - Analog Electronic Volt-Ohm Milliammeters"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.2.1 - page : 4-4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Peak amplitude\n",
+ "#given data :\n",
+ "E_rms=230.0 #in V\n",
+ "Ep=2**(1.0/2)*E_rms \n",
+ "print \"Peak amplitude, Ep = \", round(Ep,2), \" V.\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Peak amplitude, Ep = 325.27 V.\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.12.1 - page : 4-21"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Resistance\n",
+ "#given data :\n",
+ "import math\n",
+ "Rm=500.0 #in ohm\n",
+ "E_rms=50.0 # in V\n",
+ "E_dc=(2**(1.0/2)*E_rms)/(math.pi/2) \n",
+ "Im=1*10**-3 #in A\n",
+ "R=E_dc/Im \n",
+ "Rs=(R-Rm)*10**-3 \n",
+ "print \"The resistance, Rs = \", round(Rs,1), \" kohm.\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The resistance, Rs = 44.5 kohm.\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.14.1 - page : 4-25"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Percentage error\n",
+ "ff1=1.0 #form factor\n",
+ "r=1.11 #sine wave form factor\n",
+ "per=((r-ff1)/ff1)*100 #percentage error\n",
+ "print \"Percentage error is \", per, \" %\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Percentage error is 11.0 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.14.2 - page : 4-26"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#part (i)\n",
+ "# form factor\n",
+ "T1=3.0 #\n",
+ "T=range(0,4) \n",
+ "##Function for integration\n",
+ "def integrate(a,b,f):\n",
+ " # def function before using this\n",
+ " # eg. : f=lambda t:200**2*t**2\n",
+ " #a=lower limit;b=upper limit;f is a function\n",
+ " import numpy\n",
+ " N=1000 # points for iteration\n",
+ " t=numpy.linspace(a,b,N)\n",
+ " ft=f(t)\n",
+ " ans=numpy.sum(ft)*(b-a)/N\n",
+ " return ans\n",
+ "# Calculating Vrms\n",
+ "a=T[0]\n",
+ "b=T[3]\n",
+ "f=lambda t:200**2*t**2\n",
+ "Vrms=(1/T1*integrate(a,b,f))**(1.0/2) # V\n",
+ "# Calculating Vav\n",
+ "g=lambda t:200*t\n",
+ "Vav=1/T1*integrate(a,b,g) # V\n",
+ "ff=Vrms/Vav # form factor\n",
+ "print \"Form factor is \", round(ff,4)\n",
+ "# part (ii)\n",
+ "ff1=1.11 #form factor of sine wave\n",
+ "per=((ff1/ff)-1)*100 #percentage errpr\n",
+ "print \"Percentage error in meter indication is\", round(per,3), \" %\"\n",
+ "# Answer is not accurate in the textbook."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Form factor is 1.155\n",
+ "Percentage error in meter indication is -3.895 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.19.1 - page : 4-43"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Current\n",
+ "#Given data :\n",
+ "gm=0.005 #in mho\n",
+ "V1=1.5 #in V\n",
+ "rd=200.0*10**3 # in Ohm\n",
+ "Rd=15.0*10**3 #in ohm\n",
+ "Rm=75.0 #in ohm\n",
+ "I=(gm*V1*((Rd*rd)/(rd+Rd)))/((2*((Rd*rd)/(rd+Rd)))+Rm) # A\n",
+ "I*=10**3 # mA\n",
+ "print \"Current, I = \", round(I,2), \" mA\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current, I = 3.74 mA\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.19.2 - page : 4-44"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Current\n",
+ "#Given data :\n",
+ "gm=0.005 #in mho\n",
+ "V1=[0.2,0.4,0.6,0.8,1.0] #in V\n",
+ "rd=200.0*10**3 # in Ohm\n",
+ "Rd=15.0*10**3 #in ohm\n",
+ "Rm=75.0 #in ohm\n",
+ "Im=[]\n",
+ "for v1 in V1:\n",
+ " Im.append(gm*(rd*Rd*v1/(rd+Rd))/(2.0*(rd*Rd/(rd+Rd))+Rm)*1000) # mA\n",
+ "#Im*=1000 # mA\n",
+ "print \"Voltage Current\"\n",
+ "i=0\n",
+ "for im in Im:\n",
+ " print V1[i],\" V \",round(Im[i],3),\" A\"\n",
+ " i+=1"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Voltage Current\n",
+ "0.2 V 0.499 A\n",
+ "0.4 V 0.997 A\n",
+ "0.6 V 1.496 A\n",
+ "0.8 V 1.995 A\n",
+ "1.0 V 2.493 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 23
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.19.3 - page : 4-44"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Design\n",
+ "v1=100.0 # in V\n",
+ "v2=30.0 #in V\n",
+ "v3=103.0 # in V\n",
+ "v4=1.0 #in V\n",
+ "x=9.0 #assume input resistance in Mohm\n",
+ "r4=(v4/v3)*x*10**3 #in kohm\n",
+ "r3=(((v4/v1)*x*10**6)-(r4*10**3))*10**-3 #in kohm\n",
+ "r2=(((v4/v2)*x*10**6)-((r4+r3)*10**3))*10**-3 # in kohm\n",
+ "r1=9*10**6-((r2+r3+r4)*10**3) # in ohm\n",
+ "r1*=10**-6 # Mohm\n",
+ "print \"Resistance, R4 is \",round(r4,2),\" kohm.\"\n",
+ "print \"Resistance, R3 is \",round(r3,2),\" kohm.\"\n",
+ "print \"Resistance, R2 is \",r2,\" kohm.\"\n",
+ "print \"Resistance, R1 is \",r1,\" Mohm.\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resistance, R4 is 87.38 kohm.\n",
+ "Resistance, R3 is 2.62 kohm.\n",
+ "Resistance, R2 is 210.0 kohm.\n",
+ "Resistance, R1 is 8.7 Mohm.\n"
+ ]
+ }
+ ],
+ "prompt_number": 26
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.19.4 - page : 4-51"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Current\n",
+ "#given data :\n",
+ "rd=150.0*10**3 # in ohm\n",
+ "Rm=50.0 # in ohm\n",
+ "Rs=1000.0*10**3 # in ohm\n",
+ "gm=0.0052 #in mho\n",
+ "rd1=rd/((gm*rd)+1) \n",
+ "V0=gm*((rd1*Rs)/(rd1+Rs))\n",
+ "R0=(2*Rs*rd1)/(Rs+rd1)\n",
+ "I=V0/(R0+Rm) # A\n",
+ "I*=10**3 # mA\n",
+ "print \"Curent, I = \", round(I,3),\" mA\"\n",
+ "# Answer in the textbook is not accurate."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Curent, I = 2.3 mA\n"
+ ]
+ }
+ ],
+ "prompt_number": 28
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.19.5 - page : 4-52"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Resistance\n",
+ "#given data :\n",
+ "V1=1.0 #in V\n",
+ "I=1.5*10**-3 #in A\n",
+ "rd=200.0*10**3 # in ohm\n",
+ "Rm=50.0 # in ohm\n",
+ "Rs=600.0*10**3 # in ohm\n",
+ "gm=0.005 #in mho\n",
+ "rd1=rd/((gm*rd)+1) \n",
+ "V0=gm*((rd1*Rs)/(rd1+Rs))*V1\n",
+ "R0=(2*Rs*rd1)/(Rs+rd1)\n",
+ "R_cal=(V0/I)-Rm-R0 \n",
+ "print \"Resistance , R_cal = \",round(R_cal,2),\" ohm\" \n",
+ "# answer is wrong in book"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resistance , R_cal = 216.31 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 29
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example q.3 - page : 4-73"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Current and voltage\n",
+ "rm=10.0 #in ohm\n",
+ "im=5.0 # in mA\n",
+ "i=1.0 # in A\n",
+ "v=5.0 #in A\n",
+ "ish=i-(im*10**-3) # in A\n",
+ "m=i/(im*10**-3) # ratio\n",
+ "rsh=rm/(m-1) #in ohm\n",
+ "vo=v/i #in V\n",
+ "rsh1=vo/(im) #in kohm\n",
+ "print \"Shunt resistance is \",round(rsh,2),\" ohm to measure current upto 1 A\"\n",
+ "print \"Shunt resistance is \", rsh1,\" kohm to measure voltage upto 5 V\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Shunt resistance is 0.05 ohm to measure current upto 1 A\n",
+ "Shunt resistance is 1.0 kohm to measure voltage upto 5 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 30
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file