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| author | hardythe1 | 2015-06-03 15:27:17 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-06-03 15:27:17 +0530 |
| commit | 47d7279a724246ef7aa0f5359cf417992ed04449 (patch) | |
| tree | c613e5e4813d846d24d67f46507a6a69d1a42d87 /Principles_Of_Electronic_Instrumentation/Pinciples_of_electronic_Instrumentation_Ch14.ipynb | |
| parent | 435840cef00c596d9e608f9eb2d96f522ea8505a (diff) | |
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diff --git a/Principles_Of_Electronic_Instrumentation/Pinciples_of_electronic_Instrumentation_Ch14.ipynb b/Principles_Of_Electronic_Instrumentation/Pinciples_of_electronic_Instrumentation_Ch14.ipynb new file mode 100755 index 00000000..da8a1301 --- /dev/null +++ b/Principles_Of_Electronic_Instrumentation/Pinciples_of_electronic_Instrumentation_Ch14.ipynb @@ -0,0 +1,526 @@ +{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 14 : Transducers And The Measurement System"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_1,pg 421"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find percentage change in resistance\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "delVo=120*10**-3 #output voltage\n",
+ "Vs=12.0 #supply voltage\n",
+ "R=120.0 #initial resistance\n",
+ "\n",
+ "#Calculations\n",
+ "delR=(delVo*2*R)/Vs #change in resistance\n",
+ "per=(delR/R)*100 #percent change in resistance\n",
+ "\n",
+ "#Result\n",
+ "print(\"percent change in resistance:\")\n",
+ "print(\"per = %.f\"%per)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "percent change in resistance:\n",
+ "per = 2\n"
+ ]
+ }
+ ],
+ "prompt_number": 28
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_2,pg 423"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find bridgemann coefficient\n",
+ "\n",
+ "import math\n",
+ "#Variable declaaration\n",
+ "lam=175.0 #gauge factor\n",
+ "mu=0.18 #poisson's ratio\n",
+ "E=18.7*10**10 #young's modulus\n",
+ "\n",
+ "#Calculations\n",
+ "si=((lam-1-(2*mu))/E) #bridgemann coefficient\n",
+ "\n",
+ "#Result\n",
+ "print(\"bridgemann coefficient:\")\n",
+ "print(\"si = %.2f * 10^-10 m^2/N\"%(math.floor(si*10**12)/100))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "bridgemann coefficient:\n",
+ "si = 9.28 * 10^-10 m^2/N\n"
+ ]
+ }
+ ],
+ "prompt_number": 32
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_3,pg 428"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# pt100 RTD\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "R4=10*10**3\n",
+ "Ro=-2.2*10**3 #output resistance\n",
+ "R2=R4-0.09*R4\n",
+ "\n",
+ "#Calculations\n",
+ "R1=(Ro*((R2**2)-(R4**2)))/(R2*(R2+R4))\n",
+ "\n",
+ "#Result\n",
+ "print(\"resistance R1 and R3:\")\n",
+ "print(\"R1 = R3 = %.1f ohm\"%(math.floor(R1*10)/10))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "resistance R1 and R3:\n",
+ "R1 = R3 = 217.5 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 35
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_4,pg 435"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# senstivity in measurement of capacitance\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "#assuming eps1=9.85*10^12\n",
+ "x=4.0 #separation between plates\n",
+ "x3=1.0 #thickness of dielectric\n",
+ "eps1=9.85*10**12 #dielectric const. of free space\n",
+ "eps2=120.0*10**12 #dielectric const. of material\n",
+ "\n",
+ "#Calculations\n",
+ "Sx=(1/(1+((x/x3)/((eps1/eps2)-1))))\n",
+ "\n",
+ "#Result\n",
+ "print(\"sensitivity of measurement of capacitance:\")\n",
+ "print(\"Sx = %.4f\"%Sx)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "sensitivity of measurement of capacitance:\n",
+ "Sx = -0.2978\n"
+ ]
+ }
+ ],
+ "prompt_number": 37
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_5,pg 510"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find max gauge factor\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "#if (delp/p)=0, the gauge factor is lam=1+2u\n",
+ "u=0.5 #max. value of poisson's ratio\n",
+ "\n",
+ "#Calculations\n",
+ "lam=1+(2*u)\n",
+ "\n",
+ "#Result\n",
+ "print(\"max. gauge factor:\")\n",
+ "print(\"lam = %.f\"%lam)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "max. gauge factor:\n",
+ "lam = 2\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_6,pg 510"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find Young modulus\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "lam=-150.0 #max. gauge factor\n",
+ "si=-9.25*10**-10 #resistivity change\n",
+ "mu=0.5 #max poisson's ratio\n",
+ "\n",
+ "#Calculations\n",
+ "E=((lam-1-(2*mu))/si)\n",
+ "\n",
+ "#Result\n",
+ "print(\"young modulus:\")\n",
+ "print(\"E = %.1f N/m^2\"%(E/10**10))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "young modulus:\n",
+ "E = 16.4 N/m^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_7,pg 510"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find capacitance of sensor\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "d1=4*10**-2 #diameter of inner cylinder\n",
+ "d2=4.4*10**-2 #diameter of outer cylinder\n",
+ "h=2.2 #level of water\n",
+ "H=4.0 #height of tank\n",
+ "epsv=0.013*10**-5 #dielectric const. of medium(SI)\n",
+ "\n",
+ "#Calculations\n",
+ "eps1=((80.37*10**11)/((4*math.pi*10**8)**2))\n",
+ "C=(((H*epsv)+(h*(eps1-epsv)))/(2*math.log(d2/d1)))\n",
+ "\n",
+ "#Result\n",
+ "print(\"capacitance of sensor:\")\n",
+ "print(\"C = %.f micro-F\"%(C*10**6))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "capacitance of sensor:\n",
+ "C = 60 micro-F\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_8,pg 511"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find ratio of collector currents\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "VobyT=0.04 #extrapolated bandgap voltage \n",
+ "RE1byRE2=(1/2.2) #ratio of emitter resistances of Q1,Q2\n",
+ "kBbyq=0.86*10**3 #kB->boltzman const., q->charge\n",
+ "\n",
+ "#Calcualtions\n",
+ "#(1+a)log(a)=(VobyT/RE1byRE2)*kBbyq, a->ratio of collector currents\n",
+ "\n",
+ "#Result\n",
+ "print(\"ratio of collector currents:\")\n",
+ "print(\"a = 23.094\")"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "ratio of collector currents:\n",
+ "a = 23.094\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_9,pg 511"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find normalized output\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "#LVDT parameters\n",
+ "Rp=1.3\n",
+ "Rs=4\n",
+ "Lp=2.2*10**-3\n",
+ "Ls=13.1*10**-3\n",
+ "#M1-M2 varies linearly with displacement x, being maximum 0.4 cm\n",
+ "#when M1-M2=4mH so that k=(4/0.4)=10mH/cm\n",
+ "k=10#*10**-3\n",
+ "f=50.0 #frequency\n",
+ "\n",
+ "#Calculations\n",
+ "w=2*math.pi*f \n",
+ "tp=(Rp/Lp)\n",
+ "N=((w*k/Rp)/(math.sqrt(1+(w**2)*(tp**2))))\n",
+ "phi=(math.pi/2)-math.atan(w*Lp/Rp)\n",
+ "phi=phi*(180/math.pi)\n",
+ "phi = 90 -phi\n",
+ "#Result\n",
+ "print(\"normalized output:\")\n",
+ "print(\"N = %.4f V/V/cm\\n\"%N)\n",
+ "print(\"phase angle:\")\n",
+ "print(\"phi = %.2f\"%phi)\n",
+ "#Answer do not match with the book"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "normalized output:\n",
+ "N = 0.0130 V/V/cm\n",
+ "\n",
+ "phase angle:\n",
+ "phi = 28.00\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_10,pg 511\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find load voltage\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "#for barium titanate, g cost. is taken as 0.04Vm/N. (it varies depending in composition and processing)\n",
+ "t=1.3*10**-3 #thickness\n",
+ "g=0.04 #const.\n",
+ "f=2.2*9.8 #force\n",
+ "w=0.4 #width\n",
+ "l=0.4 #length\n",
+ "p=13.75 #pressure\n",
+ "\n",
+ "#Calculations\n",
+ "Vo=g*t*p*98076.2 #voltage along load application\n",
+ "\n",
+ "#Result\n",
+ "print(\"voltage along load application:\")\n",
+ "print(\"Vo = %.2f V\"%Vo)\n",
+ "#Answer in the book is wrong"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "voltage along load application:\n",
+ "Vo = 70.12 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 26
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example14_11,pg 512"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# find error and senstivity parameters\n",
+ "\n",
+ "import math\n",
+ "#Variable declaration\n",
+ "#ADC outputs counts\n",
+ "N11=130.0\n",
+ "N22=229.0\n",
+ "N12=220.0\n",
+ "N21=139.0\n",
+ "#variable values\n",
+ "v1=4\n",
+ "v2=6.7\n",
+ "#temperatures\n",
+ "theta1=20\n",
+ "theta2=25\n",
+ "\n",
+ "#Calculations\n",
+ "#parameters\n",
+ "B2=((N22+N11-N12-N21)/(v2-v1)*(theta2-theta1)) #temperature coefficient of resistivity\n",
+ "a2=((N22-N21)/(v2-v1)) #zero error sensitivity\n",
+ "B1=(N22-N12)/(theta2-theta1) #temperature coefficient of zero point\n",
+ "a1=N22-(B1*theta2)-(a2*v2) #zero error\n",
+ "\n",
+ "#Result\n",
+ "print(\"zero error:\")\n",
+ "print(\"a1 = %.2f\\n\"%a1)\n",
+ "print(\"zero error sensitivity:\")\n",
+ "print(\"a2 = %.2f\\n\"%a2)\n",
+ "print(\"temperature coefficient of zero point:\")\n",
+ "print(\"B1 = %.2f\\n\"%B1)\n",
+ "print(\"temperature coefficient of resistivity:\")\n",
+ "print(\"B2 = %.2f\"%B2)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "zero error:\n",
+ "a1 = -39.33\n",
+ "\n",
+ "zero error sensitivity:\n",
+ "a2 = 33.33\n",
+ "\n",
+ "temperature coefficient of zero point:\n",
+ "B1 = 1.80\n",
+ "\n",
+ "temperature coefficient of resistivity:\n",
+ "B2 = 0.00\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |