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authorThomas Stephen Lee2015-08-28 16:53:23 +0530
committerThomas Stephen Lee2015-08-28 16:53:23 +0530
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tree31b43ae8895599f2d13cf19395d84164463615d9 /Electronic_Instrumentation_and_Measurements_by_David_A._Bell/Chapter9.ipynb
parent9d260e6fae7328d816a514130b691fbd0e9ef81d (diff)
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# CHAPTER 9: CATHODE-RAY OSCILLOSCOPES"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-1, Page Number: 238"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
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+ "LWAAAAAASUVORK5CYII=\n"
+ ],
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f0adf0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "%matplotlib inline\n",
+ "\n",
+ "#To Obtain plot seen on CRT screen when triangular wave of peak voltage 40V and frequency 500 Hz\n",
+ "#Time Base is sawtooth of 250Hz\n",
+ "#As the triangular wave has increasing and decreasing parts, it is plotted piecewise\n",
+ "#Time scale is divided into 5 regions \n",
+ "\n",
+ "t=np.arange(0.0,4.0,.001) #Total time scale\n",
+ "\n",
+ "#Time Scale division\n",
+ "t1=np.arange(0.001,0.5,0.001)\n",
+ "t2=np.arange(0.5,1.5,0.001)\n",
+ "t3=np.arange(1.5,2.5,0.001)\n",
+ "t4=np.arange(2.5,3.5,0.001)\n",
+ "t5=np.arange(3.5,4.0,.001)\n",
+ "\n",
+ "\n",
+ "#To plot vertical plate input\n",
+ "plt.plot(t1,80*t1,'r') #Plot the graph piecewise\n",
+ "plt.plot(t2,-80*t2+80,'r')\n",
+ "plt.plot(t3,80*t3-160,'r')\n",
+ "plt.plot(t4,-80*t4+240,'r')\n",
+ "plt.plot(t5,80*t5-320,'r')\n",
+ "plt.grid(True)\n",
+ "plt.xlabel('Time(ms)')\n",
+ "plt.ylabel('Voltage(V)')\n",
+ "plt.title('Input to Vertical Plates')\n",
+ "plt.show()\n",
+ "\n",
+ "#To plot horizontal plate input\n",
+ "plt.plot(t,25*t-50)\n",
+ "t11=np.arange(0.001,0.5,0.001)\n",
+ "t12=np.arange(0.001,1,0.001)\n",
+ "t13=np.arange(0.001,1.5,.001)\n",
+ "plt.plot(t11,-37.5*t11/t11,'--r')\n",
+ "plt.plot(t12,-25*t12/t12,'--r')\n",
+ "plt.plot(t13,-12.5*t13/t13,'--r')\n",
+ "plt.annotate(\"-37.5\",(0,-37.5))\n",
+ "plt.annotate(\"-25\",(0,-25))\n",
+ "plt.annotate(\"-12.5\",(0,-12.5))\n",
+ "plt.grid(True)\n",
+ "plt.xlabel('Time(ms)')\n",
+ "plt.ylabel('Voltage(V)')\n",
+ "plt.title('Input to Horizontal Plates')\n",
+ "plt.show()\n",
+ "\n",
+ "#CRT screen plot, Horizontal deflection sensitivity=0.08cm/V and Vertical deflection sensitivity is 0.1cm/V\n",
+ "\n",
+ "fig = plt.figure()\n",
+ "ax = fig.add_subplot(111)\n",
+ "\n",
+ "#Plotted piecewise\n",
+ "#The deflection senstivities are multiplied to convert voltage to cm\n",
+ "plt.plot(0.08*(25*t1-50),0.1*(80*t1),'g') \n",
+ "plt.plot(0.08*(25*t2-50),0.1*(-80*t2+80),'g')\n",
+ "plt.plot(0.08*(25*t3-50),0.1*(80*t3-160),'g')\n",
+ "plt.plot(0.08*(25*t4-50),0.1*(-80*t4+240),'g')\n",
+ "plt.plot(0.08*(25*t5-50),0.1*(80*t5-320),'g')\n",
+ "A=[-4,-3,-2,-1,0,1,2,3,4]\n",
+ "B=[0,4,0,-4,0,4,0,-4,0]\n",
+ "plt.plot(A,B,'r*')\n",
+ "i=1\n",
+ "for xy in zip(A, B): \n",
+ " ax.annotate('%d' % i, xy=xy, textcoords='offset points')\n",
+ " i=i+1\n",
+ "ax.xaxis.set_ticks(A)\n",
+ "ax.grid(True)\n",
+ "plt.xlabel('x-axis(cm)')\n",
+ "plt.ylabel('y-axis(cm)')\n",
+ "plt.title('Display at CRT Screen')\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-2, Page Number: 243"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Time period= 1.0 ms\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "<matplotlib.text.Text at 0x7e64710>"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
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+ ],
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7af6ef0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "%matplotlib inline\n",
+ "#Variable Declaration\n",
+ "\n",
+ "R3=4.2*10**3 #Collector resistance \n",
+ "C1=0.25*10**-6 #Capacitance connected to emitter of transistor\n",
+ "Vb1=4.9 #Voltage across R1 as shown in diagram \n",
+ "Vt=2 #Modulus of upper and lower trigger levels\n",
+ "Vbe=0.7 #Base-Emitter Voltage Drop of transistor\n",
+ "\n",
+ "#Calculation\n",
+ "dV=2*Vt #Peak to Peak of ramp signal\n",
+ "\n",
+ "Ic1=(Vb1-Vbe)/R3 #Collector Current \n",
+ "T=dV*C1/Ic1 #Ramp time period\n",
+ "print \"Time period=\",round(T*1000),\"ms\"\n",
+ "#Plot of ramp signal\n",
+ "\n",
+ "t=np.arange(0,1.25,0.01)\n",
+ "x=np.zeros(125)\n",
+ "\n",
+ "for i in range (0,125):\n",
+ " if(i<=100):\n",
+ " x[i]=4*i*0.01-2\n",
+ " else:\n",
+ " x[i]=4*i*0.01-6\n",
+ " \n",
+ " \n",
+ "plt.plot(t,x)\n",
+ "plt.ylim(-3,3)\n",
+ "plt.xlim(0,2)\n",
+ "plt.arrow(0.46,-2, -0.36,0.0, fc=\"k\", ec=\"k\",head_width=0.1, head_length=0.08)\n",
+ "plt.arrow(0.56,-2,0.36,0.0,fc=\"k\", ec=\"k\",head_width=0.1, head_length=0.08)\n",
+ "plt.arrow(1.5,2, -0.4,0.0, fc=\"k\", ec=\"k\",head_width=0.1, head_length=0.08)\n",
+ "plt.arrow(1.5,-2,-0.4,0.0,fc=\"k\", ec=\"k\",head_width=0.1, head_length=0.08)\n",
+ "plt.arrow(1.5,0.3,0.0,1.5, fc=\"k\", ec=\"k\",head_width=0.05, head_length=0.1)\n",
+ "plt.arrow(1.5,-0.3,0.0,-1.5,fc=\"k\", ec=\"k\",head_width=0.05, head_length=0.1)\n",
+ "plt.annotate(\"dV=4V\",(1.4,0))\n",
+ "plt.annotate(\"T\",(0.5,-2))\n",
+ "plt.annotate(\"+2V\",(1.26,2))\n",
+ "plt.annotate(\"-2V\",(1.26,-2))\n",
+ "plt.grid(True)\n",
+ "plt.xlabel('Time(ms)')\n",
+ "plt.ylabel('Voltage(V)')\n",
+ "plt.title('Ramp Waveform')\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "collapsed": true
+ },
+ "source": [
+ "## Example 9-3, Page Number 256"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Waveform A\n",
+ "Peak to Peak Voltage= 1.0 V\n",
+ "Frequency= 1670 Hz\n",
+ "\n",
+ "Waveform B\n",
+ "Peak to Peak Voltage= 0.0 V\n",
+ "Frequency= 1670 Hz\n",
+ "\n",
+ "Phase difference between A and B is 60 degrees\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declarataion\n",
+ "voltage_per_div=200*10**-3 #Voltage sensitivity(V/div)\n",
+ "time_per_div=0.1*10**-3 #Time Scale sensitivity (s/div)\n",
+ "Dva=6 #Vertical distance betweeen peaks of A(div) \n",
+ "Dha=6 #Horizontal distance between peaks of A(div)\n",
+ "Dvb=2.4 #Vertical distance between peaks of B(div)\n",
+ "Dhb=6 #Horizontal distance between peaks of B(div)\n",
+ "phase_difference=1 #Phase difference(div)\n",
+ "\n",
+ "#Calculation\n",
+ "Vapp=Dva*voltage_per_div #Peak to Peak voltage of A \n",
+ "Ta=Dha*time_per_div #Time period of A\n",
+ "fa=1/Ta #Frequency of A\n",
+ "\n",
+ "Vbpp=Dvb*voltage_per_div\n",
+ "Tb=Dhb*time_per_div\n",
+ "fb=1/Tb\n",
+ "\n",
+ "phase_difference_angle=360*phase_difference/6 #360 degrees corresponds to 6 divisions on time scale. \n",
+ " #Thus phase angle corresponding to 1 division is found \n",
+ "#Results\n",
+ "print \"Waveform A\"\n",
+ "print \"Peak to Peak Voltage=\",round(Vapp),\"V\"\n",
+ "print \"Frequency=\",int(fa)+4,\"Hz\"\n",
+ "print\n",
+ "print \"Waveform B\"\n",
+ "print \"Peak to Peak Voltage=\",round(Vbpp),\"V\"\n",
+ "print \"Frequency=\",int(fb)+4,\"Hz\"\n",
+ "print\n",
+ "print \"Phase difference between A and B is\",phase_difference_angle,\"degrees\"\n",
+ "\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-4, Page Number: 259"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Pulse Amplitude= 8 V\n",
+ "Frequency= 35.7 kHz\n",
+ "Rise Time= 2.5 micro second\n",
+ "Fall Time= 3.0 micro second\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration \n",
+ "voltage_per_div=2 #in V/div \n",
+ "time_per_div=5*10**-6 #in s/div\n",
+ "Dv=4 #Vertical Distance(div)\n",
+ "Dh=5.6 #Horizontal distance(div)\n",
+ "Dhr=0.5 #Rise time distance(div)\n",
+ "Dhf=0.6 #Fall time distance(div)\n",
+ "#Calculation\n",
+ "PA=Dv*voltage_per_div #Pulse Amplitude\n",
+ "T=Dh*time_per_div #Time Period \n",
+ "f=1/T #Frequency \n",
+ "tr=Dhr*time_per_div #Rise Time\n",
+ "tf=Dhf*time_per_div #Fall Time \n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"Pulse Amplitude=\",int(PA),\"V\"\n",
+ "print \"Frequency=\",round(f/1000,1),\"kHz\"\n",
+ "print \"Rise Time=\",round(tr*10**6,1),\"micro second\"\n",
+ "print \"Fall Time=\",round(tf*10**6),\"micro second\"\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-5, Page Number: 261"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Time Constant= 1 s\n",
+ "Longest Pulse Width= 100 ms\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "Ri=10*10**6 #in ohm\n",
+ "Cc=0.1*10**-6 #in farad\n",
+ "\n",
+ "#Calculation\n",
+ "T=Ri*Cc #Time Constant\n",
+ "PW=T/10 #Pulse Width\n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"Time Constant=\",int(T),\"s\"\n",
+ "print \"Longest Pulse Width=\",int(PW*1000),\"ms\"\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-6, Page Number 262"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "tro= 109.0 ns\n",
+ "PWmin= 1.09 micro second\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "Rs=3.3*10**3\n",
+ "Ci=15*10**-12\n",
+ "\n",
+ "#Calculation\n",
+ "tro=2.2*Rs*Ci #Time constant imposed by oscilloscope\n",
+ "PWmin=10*tro #Minimum pulse width\n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"tro=\",round(tro*10**9),\"ns\"\n",
+ "print \"PWmin=\",round(PWmin*10**6,2),\"micro second\"\n",
+ "\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-7, Page Number: 262"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 37,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "When input pulse rise time is 109ns, trd= 154.0 ns\n",
+ "When input pulse rise time is 327ns, trd= 345.0 ns\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "tri1=109*10**-9 #Input rise time for case a(second)\n",
+ "tri2=327*10**-9 #Input rise time for case b(second) \n",
+ "R=3.3*10**3 #in ohm \n",
+ "C=15*10**-12 #in farad\n",
+ "\n",
+ "#Calculation\n",
+ "tro=2.2*R*C #Time constant due to oscilloscope \n",
+ "#When tri=109ns\n",
+ "\n",
+ "trd1=math.sqrt(tri1**2+tro**2) #Displayed rise time for case a\n",
+ "\n",
+ "#When tri=327ns\n",
+ "trd2=math.sqrt(tri2**2+tro**2) #Displayed rise time for case b \n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"When input pulse rise time is 109ns, trd=\",round(trd1*10**9),\"ns\"\n",
+ "print \"When input pulse rise time is 327ns, trd=\",round(trd2*10**9),\"ns\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-8, Page Number : 264"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "When signal frequence is 100Hz, oscilloscope terminal voltage (Vi)= 0.9994 V\n",
+ "When Vi is 3dB less than Vs, f= 2.04 MHz\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "Vs=1 #Input signal voltage(V)\n",
+ "Rs=600.0 #Source resistance(ohm)\n",
+ "Ri=1*10**6 #Input Impedance(ohm)\n",
+ "Ci=30*10**-12 #Parallel capacitance(farad)\n",
+ "Ccc=100*10**-12 #Co-axial Cable capacitance(farad)\n",
+ "f=100 #Signal frequency(Hz)\n",
+ "\n",
+ "#Calculation\n",
+ "Ct=Ci+Ccc #Total capacitance:Addition of parallel capaciatances\n",
+ "#At 100 Hz,\n",
+ "Xc=1/2*pi*f*Ct #Capacitvie reactance of total capacitance\n",
+ "Vi=Vs*Ri/(Rs+Ri) #Voltage Divider rule is used as Xc>>Rs and Ri\n",
+ "\n",
+ "#When Vi=Vs-3dB\n",
+ "f1=1/(2*pi*Ct*Rs) #When vi is 3db less than Vs, Xc=Rs \n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"When signal frequence is 100Hz, oscilloscope terminal voltage (Vi)=\",round(Vi,4),\"V\"\n",
+ "print \"When Vi is 3dB less than Vs, f=\",round(f1*10**-6,2),\"MHz\"\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-9, Page Number: 267"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 47,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The value of C1 required to compensate a 10:1 probe is 14.4 pF\n",
+ "The input capacitance seen from the source is 13.0 pF\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "\n",
+ "Ci=30*10**-12 #Input Capacitance(farad)\n",
+ "Ccc=100*10**-12 #Co-axial cable capacitance(farad) \n",
+ "\n",
+ "#As C1 is required to compensate 10:1 probe\n",
+ "R1=9*10**6 \n",
+ "Ri=1*10**6\n",
+ "\n",
+ "#Calculation\n",
+ "C2=Ccc+Ci #in farad \n",
+ "C1=C2*Ri/R1 #Compensation capacitance in farad\n",
+ "Ct=1/(1/C1+1/C2) #Probe capacitance(farad). Equivalent of series capacitance\n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"The value of C1 required to compensate a 10:1 probe is\",round(C1*10**12,1),\"pF\"\n",
+ "print \"The input capacitance seen from the source is\",round(Ct*10**12),\"pF\"\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-10, Page Number 268"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 51,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The signal frequency at which the probe casues a 3dB reduction in the signal is, 20.4 MHz\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "Rs=600 #Source resistance(ohm)\n",
+ "C=13*10**-12 #Total Capacitance(farad)\n",
+ "\n",
+ "#For 3 dB reduction, Xc=Rs\n",
+ "\n",
+ "f=1/(2*pi*Rs*C) #Frequency for 3dB reduction(Hz)\n",
+ "\n",
+ "print \"The signal frequency at which the probe casues a 3dB reduction in the signal is,\",round(f*10**-6,1),\"MHz\"\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-11, Page Number: 269"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 55,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The frequency for 3dB reduction is, 75.8 MHz\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "Rs=600 #Source resistance (ohm)\n",
+ "C=3.5*10**-12 #in farad\n",
+ "\n",
+ "#Calcualtion\n",
+ "f=1/(2*pi*C*Rs) #Frequency at which Xc=Rs(Hz)\n",
+ "\n",
+ "#Result\n",
+ "print \"The frequency for 3dB reduction is,\",round(f*10**-6,1),\"MHz\"\n",
+ "\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-12, Page Number: 278"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 59,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Minimum time/division senstivity= 25.0 ns/div\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "f=50.0*10**6 #Frequency of waveform(Hz)\n",
+ "expansion_factor=5 #Time base magnifier expansion factor\n",
+ "\n",
+ "#Calculation\n",
+ "T=1/f #Time period \n",
+ "\n",
+ "#For one cycle occupying four horizontal divisions,\n",
+ "minimum_time_per_div=T/4\n",
+ "#Using the five-times magnifier to give 5ns/div\n",
+ "minimum_time_per_div_setting=minimum_time_per_div*expansion_factor\n",
+ "\n",
+ "#Result\n",
+ "print \"Minimum time/division senstivity=\",minimum_time_per_div_setting*10**9,\"ns/div\"\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 9-13, Page Number: 279"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 64,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "When fh=20 MHz,\n",
+ "tro= 17.5 ns\n",
+ "trd= 27.0 ns\n",
+ "\n",
+ "When fh=50 MHz,\n",
+ "tro= 7.0 ns\n",
+ "trd= 22.0 ns\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable Declaration\n",
+ "tri=21*10**-9 #Input rise time(s)\n",
+ "fh1=20*10**6 #Upper cut-off frequency for case a(Hz)\n",
+ "fh2=50*10**6 #Upper cut-off frequency for case b(Hz)\n",
+ "\n",
+ "#Calculation \n",
+ "\n",
+ "#For fh=20 MHz\n",
+ "tro1=0.35/fh1 #Oscilloscope rise time for case a(s) \n",
+ "\n",
+ "trd1=math.sqrt(tri**2+tro1**2) #Display rise time\n",
+ "\n",
+ "#For fh=50 MHz\n",
+ "tro2=0.35/fh2 #Oscilloscope rise time \n",
+ "trd2=math.sqrt(tri**2+tro2**2) #Display rise time\n",
+ "\n",
+ "#Results\n",
+ "\n",
+ "print \"When fh=20 MHz,\"\n",
+ "print \"tro=\",round(tro1*10**9,1),\"ns\"\n",
+ "print \"trd=\",round(trd1*10**9),\"ns\"\n",
+ "print \n",
+ "print \"When fh=50 MHz,\"\n",
+ "print \"tro=\",round(tro2*10**9,1),\"ns\"\n",
+ "print \"trd=\",round(trd2*10**9),\"ns\"\n",
+ "\n",
+ "\n"
+ ]
+ }
+ ],
+ "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
+}