path: root/Fundamental_Electrical_and_Electronic_Principles/ch6.ipynb

{
 "metadata": {
  "name": "",
  "signature": "sha256:b84f65369d0a7456fd5ada25a94ec2301f3722e12d3bfd972d934901296bd409"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 6: Alternating Quantities"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.1, Page 202"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "# Comparing alternating voltage v = 35*sin(314.2*t) with the standard Eq.\n",
      "# Part (a)\n",
      "V_m = 35;  # Maximum value of alternating voltage, volt\n",
      "\n",
      "# Part (b)\n",
      "#We know that v= vm8sin(2*pi*f*t)\n",
      "#Comparing the alternating voltage equation with the above one, we get,\n",
      "f = 314.2/(2*math.pi)     # Frequency of waveform, Hz\n",
      "\n",
      "# Part (c)\n",
      "T = 1/f;    # Time period of waveform, sec\n",
      "\n",
      "# Part (d)\n",
      "t = 3.5;    # Time with reference to zero crossing, sec\n",
      "v = 35*math.sin(2*math.pi*50*3.5*1e-03);    # Volatge value after the waveform passes through zero, going positive\n",
      "\n",
      "#Results\n",
      "print \"The maximum value of alternating voltage = %2d volt\"%V_m\n",
      "print \"The frequency of alternating voltage = %2d Hz\"%f\n",
      "print \"The time period of alternating voltage = %3.1f ms\"%(T/1e-03);\n",
      "print \"The volatge value after the waveform passes through zero = %5.2f volt\"%v\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The maximum value of alternating voltage = 35 volt\n",
        "The frequency of alternating voltage = 50 Hz\n",
        "The time period of alternating voltage = 20.0 ms\n",
        "The volatge value after the waveform passes through zero = 31.19 volt\n"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.2, Page 202"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "# Part (a)\n",
      "#I = Im*sin(2*pi*f*t)\n",
      "# Given i = 75*sin(200*%pi*t) mA which on comparing with the general expression gives\n",
      "#Comparing the above two equations, we get,\n",
      "f = (200*math.pi)/(2*math.pi)   # Frequency of alternating current, Hz\n",
      "\n",
      "# Part(b)\n",
      "i = 35.;     # Alternating current after passing through zero, mA\n",
      "t = math.asin(i/75)/(200*math.pi*1e-03);   # Time taken for current to reach 35 mA, ms\n",
      "\n",
      "#Results\n",
      "print \"The frequency of alternating current = %2d Hz\"%f\n",
      "print \"The time taken for current to reach 35 mA = %5.3f mA\"%t\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The frequency of alternating current = 100 Hz\n",
        "The time taken for current to reach 35 mA = 0.773 mA\n"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.3, Page 204"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Variable declaration\n",
      "V_av = 3.5;     # Average value of sinusoidal alternating voltage, V\n",
      "T = 6.67e-03;   # Time period of alternating current, s\n",
      "\n",
      "#Calculations\n",
      "V_m = V_av/0.637;   # Peak value of alternating current, V\n",
      "f = 1/T;    # Frequency of alternating volatge, Hz\n",
      "\n",
      "#Result\n",
      "print \"The standard expression for %3.1f voltage = %3.1f sin(%3d*pi*t) volt\"%(V_av, V_m,round(2*f))\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The standard expression for 3.5 voltage = 5.5 sin(300*pi*t) volt\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.4, Page 204"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "V_av = 3.5;     # Average value of sinusoidal alternating voltage, V\n",
      "T = 6.67e-03;   # Time period of alternating voltage, s\n",
      "\n",
      "#Calculations&Results\n",
      "V_m = V_av/0.637;   # Peak value of alternating voltage, V\n",
      "f = 1/T;    # Frequency of alternating volatge, Hz\n",
      "\n",
      "# Part (a)\n",
      "t = 0.5e-03;    # Time taken by the waveform after passing through zero, s\n",
      "v = V_m*math.sin(2*math.pi*f*t);     # Instantaneous value of alternating voltage, s\n",
      "print \"The instantaneous value of alternating voltage after %3.1f ms = %3.1f volt\"%(t/1e-03, v)\n",
      "\n",
      "# Part (b)\n",
      "t = 4.5e-03;    # Time taken by the waveform after passing through zero, s\n",
      "v = V_m*math.sin(2*math.pi*f*t);     # Instantaneous value of alternating voltage, s\n",
      "print \"The instantaneous value of alternating voltage after %3.1f ms = %3.1f volt\"%(t/1e-03, v);\n",
      "\n",
      "# Part (c)\n",
      "v = 3;     # Alternating voltage after passing through zero, mA\n",
      "t = math.asin(v/V_m)/(2*math.pi*f);   # Time taken for current to reach 3 V, s\n",
      "print \"The time taken for voltage to reach %1d volt = %5.3f ms\"%(v, t/1e-03);\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The instantaneous value of alternating voltage after 0.5 ms = 2.5 volt\n",
        "The instantaneous value of alternating voltage after 4.5 ms = -4.9 volt\n",
        "The time taken for voltage to reach 3 volt = 0.613 ms\n"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.5, Page 206"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "V = 240;    # Rms vlaue of alternating voltage, volt\n",
      "\n",
      "#Calculations\n",
      "V_m = math.sqrt(2)*V;   # Peak value of alternating voltage, volt\n",
      "\n",
      "#Result\n",
      "print \"The amplitude of household %3d volt supply = %5.1f volt\"%(V, V_m);\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The amplitude of household 240 volt supply = 339.4 volt\n"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.6, Page 207"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Variable declaration\n",
      "pf = 2.5;   # Peak factor of non-sinusoidal alternating voltage\n",
      "V = 240;    # Rms vlaue of alternating voltage, volt\n",
      "\n",
      "#Calculations\n",
      "V_m = pf*V;   # Peak value of alternating voltage, volt\n",
      "\n",
      "#Result\n",
      "print \"The absolute minimum working voltage = %3d volt\"%V_m\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The absolute minimum working voltage = 600 volt\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.7, Page 207"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "l = 0.25;   # Length of the rectangular coil, m\n",
      "d = 0.2;    # Width of rectangular coil, m\n",
      "N = 80;     # Number of turns of the rectangular coil\n",
      "B = 0.075;  # Magnetic flux density, tesla\n",
      "n = 3000/60;   # Frequency of revolution of the coil, rev/s\n",
      "v = n*math.pi*d;    # Linear speed with which the coil sides move, m/s\n",
      "t = 2e-03;      # Time after the emf crosses zero, s\n",
      "\n",
      "#Calculations\n",
      "# Part (a)\n",
      "# As e = 2*N*B*l*v*sin(2*pi*f*t) volt, and for maximum value of sin(2*pi*f*t) = 1\n",
      "E_m = 2*N*B*l*v*(1);  # Amplitude of emf, volt\n",
      "E = 0.707*E_m;      # rms value of emf, volt\n",
      "E_av = 0.637*E_m;   # Average value of emf, volt\n",
      "# For a two pole field system, \n",
      "f = n;      # Frequency of generated waveform, Hz\n",
      "\n",
      "# Part (b)\n",
      "T = 1./f;    # Time period of generated waveform, Hz\n",
      "\n",
      "# Part (c)\n",
      "e = E_m*math.sin(2*math.pi*f*t);     # Instantaneous value at time 2 ms after zero, volt\n",
      "\n",
      "#Results\n",
      "print \"The amplitude, rms and average value of emf = %5.2f V, %5.2f V and %5.2f V resp.\"%(E_m, E, E_av);\n",
      "print \"The frequency and time period of generated waveform = %2d Hz and %2d ms resp.\"%(f, T/1e-03);\n",
      "print \"The instantaneous value of emf at time 2 ms after crossing zero = %4.1f V\"%e\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The amplitude, rms and average value of emf = 94.25 V, 66.63 V and 60.04 V resp.\n",
        "The frequency and time period of generated waveform = 50 Hz and 20 ms resp.\n",
        "The instantaneous value of emf at time 2 ms after crossing zero = 55.4 V\n"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.8, Page 212"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "R_c = 50;   # Resistance of the coil of meter, ohm\n",
      "K = 10e+03;     # Figure of merit of the moving coil meter, ohm per volt\n",
      "V = 10;     # d.c. range of coil meter, volt\n",
      "\n",
      "#Calculations&Results\n",
      "# Part (a)\n",
      "I_fsd = 1/K;    # Full scale deflection for moving coil meter, ampere\n",
      "R = V/I_fsd;    # Total meter resistance, ohm\n",
      "# As R = R_m + R_c, solvign for R_m\n",
      "R_m = R - R_c;      # Multiplier resistance required by the meter, ohm\n",
      "print \"The multiplier resistance required for 10 V d.c. range = %5.2f k-ohm\"%(R_m/1e+03)\n",
      "\n",
      "# Part(b)\n",
      "I_av = I_fsd;   # Average value of ac current, A\n",
      "I_rms = math.pi/(2*math.sqrt(2))*I_av;    # rms value of ac current, A\n",
      "V = 10 ;     # a.c. range of coil meter, volt\n",
      "R = V/I_rms;    # Total meter resistance, ohm\n",
      "# As R = R_m + R_c, solvign for R_m\n",
      "R_m = R - R_c;      # Multiplier resistance required by the meter, ohm\n",
      "print \"The multiplier resistance required for 10 V a.c. range = %5.2f k-ohm\"%(R_m/1e+03);\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The multiplier resistance required for 10 V d.c. range = 99.95 k-ohm\n",
        "The multiplier resistance required for 10 V a.c. range = 89.98 k-ohm\n"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.9, Page 213"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "# Case_I: Square_wave\n",
      "ff = 1.11;  #  Form factor of calibrated meter\n",
      "ff_square = 1;  # Form factor for square wave\n",
      "V_apparent = 5;     # Meter reading for sqaure wave, volt\n",
      "V_true = V_apparent*1*(ff_square/ff);    # True rms value of square wave voltage, volt\n",
      "print \"The true rms value of square wave voltage = %5.3f V\"%V_true\n",
      "\n",
      "# Case_II: Triangular_wave\n",
      "ff_triangle = 1.15;  # Form factor for triangular wave\n",
      "V_apparent = 5;     # Meter reading for triangular wave, volt\n",
      "V_true = V_apparent*(ff_triangle/ff);    # True rms value of triangular wave voltage, volt\n",
      "print \"The true rms value of triangular wave voltage = %4.2f V\"%V_true\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The true rms value of square wave voltage = 4.505 V\n",
        "The true rms value of triangular wave voltage = 5.18 V\n"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.10, Page 215"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "# The general expression for alternating current is I = Io*sin(2*pi*f*t + phi)\n",
      "#Comparing the given equations with the above, we get,\n",
      "f = (80*math.pi)/(2*math.pi)    # Frequency of alternating current, Hz\n",
      "\n",
      "#Calculations\n",
      "# I2 is the reference waveform with zero phase angle, so that\n",
      "phi2 = 0;   # Phase angle for reference waveform I2, degrees\n",
      "Im2 = 3;    # Current amplitude of reference waveform I2, A\n",
      "Im1 = 5;    # Current amplitude of reference waveform I1, A\n",
      "Im3 = 6;    # Current amplitude of reference waveform I3, A\n",
      "phi1 = math.pi/6*(180/math.pi); # Phase angle for reference waveform I1, degrees\n",
      "phi3 = math.pi/4*(180/math.pi); # Phase angle for reference waveform I3, degrees\n",
      "\n",
      "#Results\n",
      "print \"The frequency of all three waveforms = %2d Hz\"%f\n",
      "print \"I1 leads I2 by = %2.0f degrees\"%(phi1-phi2);\n",
      "print \"I3 lags I2 by = %2d degrees\"%(phi3-phi2);\n",
      "print \"Current amplitude of reference waveform I1 = %1d A\"%Im1\n",
      "print \"Current amplitude of reference waveform I2 = %1d A\"%Im2\n",
      "print \"Current amplitude of reference waveform I3 = %1d A\"%Im3\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The frequency of all three waveforms = 40 Hz\n",
        "I1 leads I2 by = 30 degrees\n",
        "I3 lags I2 by = 45 degrees\n",
        "Current amplitude of reference waveform I1 = 5 A\n",
        "Current amplitude of reference waveform I2 = 3 A\n",
        "Current amplitude of reference waveform I3 = 6 A\n"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.12, Page 218"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "Im1 = 7;    # Current amplitude of reference waveform I1, A\n",
      "Im2 = 6;    # Current amplitude of reference waveform I2, A\n",
      "Im3 = 5;    # Current amplitude of reference waveform I3, A\n",
      "Im4 = 4;    # Current amplitude of reference waveform I4, A\n",
      "\n",
      "#Calculations\n",
      "phi1 = 70*math.pi/180;   # Phase angle for reference waveform I1, rad\n",
      "phi2 = 0*math.pi/180;   # Phase angle for reference waveform I2, rad\n",
      "phi3 = -50*math.pi/180;   # Phase angle for reference waveform I3, rad\n",
      "phi4 = -90*math.pi/180;   # Phase angle for reference waveform I4, rad\n",
      "\n",
      "#Results\n",
      "print \"i1 = %dsin(wt + %4.2f) amp\"%(Im1, phi1)\n",
      "print \"i2 = %dsin wt amp\"%Im2;\n",
      "print \"i3 = %dsin(wt + %4.2f) amp\"%(Im3, phi3);\n",
      "print \"i4 = %dsin(wt + %4.2f) amp\"%(Im4, phi4);\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "i1 = 7sin(wt + 1.22) amp\n",
        "i2 = 6sin wt amp\n",
        "i3 = 5sin(wt + -0.87) amp\n",
        "i4 = 4sin(wt + -1.57) amp\n"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.13, Page 221"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "omega = 314.;    # Angular frequency of voltage, rad per sec\n",
      "Vm1 = 25.;   # Peak value of first phasor, V\n",
      "Vm2 = 15.;   # Peak value of second phasor, V\n",
      "\n",
      "#Calculations\n",
      "H_C = Vm1*math.cos(math.pi/3)+Vm2*math.cos(-math.pi/6); # Horizontal component of phasor sum, V\n",
      "V_C = Vm1*math.sin(math.pi/3)+Vm2*math.sin(-math.pi/6); # Vertical component of phasor sum, V\n",
      "Vm = math.sqrt(H_C**2+V_C**2); # Peak value of phasor sum, V\n",
      "phi = math.atan(V_C/H_C);   # Phase angle, degrees\n",
      "print \"v = %5.2fsin(%3dt + %5.3f) volt\"%(Vm, omega, phi);\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "v = 29.15sin(314t + 0.507) volt\n"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.14, Page 222"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "Im1 = 6;   # Peak value of first phasor, A\n",
      "Im2 = 8;   # Peak value of second phasor, A\n",
      "Im3 = 4;   # Peak value of third phasor, A\n",
      "\n",
      "#Calculations\n",
      "H_C = Im1*math.cos(0)+Im2*math.cos(-math.pi/2)+Im3*math.cos(math.pi/6); # Horizontal component of phasor sum, A\n",
      "V_C = Im1*math.sin(0)+Im2*math.sin(-math.pi/2)+Im3*math.sin(math.pi/6); # Vertical component of phasor sum, A\n",
      "Im = math.sqrt(H_C**2+V_C**2); # Peak value of phasor sum, V\n",
      "phi = math.atan(V_C/H_C);   # Phase angle, rad\n",
      "\n",
      "\n",
      "print \"i = %4.1fsin(wt%5.3f) amp\"%(Im, phi);\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "i = 11.2sin(wt-0.565) amp\n"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.15, Page 222"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "# Part (a)\n",
      "omega = 628;    # Angular frequency of voltage, rad per sec\n",
      "f = omega/(2*math.pi);  # Frequency of the waveforms, Hz\n",
      "Vm1 = 10.;   # Peak value of first phasor, V\n",
      "Vm2 = 8.;   # Peak value of second phasor, V\n",
      "Vm3 = 12.;   # Peak value of third phasor, V\n",
      "phi1 = -math.pi/6*180/math.pi;      # Phase angle for first voltage, degrees\n",
      "phi2 = math.pi/3*180/math.pi;      # Phase angle for second voltage, degrees\n",
      "phi3 = math.pi/4*180/math.pi;      # Phase angle for third voltage, degrees\n",
      "print \"The frequency of all three waveforms = %3d Hz\"%f\n",
      "print \"The phase angle and frequency of first voltage : %2d degrees, %2d V\"%(phi1, Vm1);\n",
      "print \"The phase angle and frequency of second voltage : %2d degrees, %2d V\"%(phi2, Vm2);\n",
      "print \"The phase angle and frequency of third voltage : %2d degrees, %2d V\"%(phi3, Vm3);\n",
      "\n",
      "# Part (b)\n",
      "H_C = Vm1*math.cos(phi1)+Vm2*math.cos(phi2)+Vm3*math.cos(phi3); # Horizontal component of phasor sum, V\n",
      "V_C = Vm1*math.sin(phi1)+Vm2*math.sin(phi2)+Vm3*math.sin(phi3); # Horizontal component of phasor sum, V\n",
      "Vm = math.sqrt(H_C**2+V_C**2); # Peak value of phasor sum, V\n",
      "phi = math.atan(V_C/H_C);   # Phase angle, rad\n",
      "print \"v = %5.2fsin(%3dt + %5.3f) volt\"%(Vm, omega, phi);\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The frequency of all three waveforms =  99 Hz\n",
        "The phase angle and frequency of first voltage : -29 degrees, 10 V\n",
        "The phase angle and frequency of second voltage : 59 degrees,  8 V\n",
        "The phase angle and frequency of third voltage : 45 degrees, 12 V\n",
        "v = 17.65sin(628t + 1.558) volt\n"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 6.16, Page 228"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable declaration\n",
      "tb1 = 0.1e-03;  # Timebase of channel 1, s/cm\n",
      "tb2 = 10e-06;  # Timebase of channel 2, s/cm\n",
      "Y_amp1 = 5.; # Y-amp setting for channel 1, V/cm\n",
      "Y_amp2 = 0.5; # Y-amp setting for channel 2, V/cm\n",
      "\n",
      "#Calculations&Results\n",
      "# Channel 1\n",
      "V_pp = 3*Y_amp1;    # Peak-to-peak value of waveform in channel 1, V\n",
      "Vm = V_pp/2;    # Amplitude of waveform in channel 1, V\n",
      "V = Vm/math.sqrt(2); # rms value of sine wave in channel 1, V\n",
      "T = 4*tb1;  # Time period of sine wave, second\n",
      "f = 1./(T*1000);    # Frequency of sine wave, kHz\n",
      "print \"The amplitude of sine waveform in channel 1 = %3.1f V\"%Vm\n",
      "print \"The rms value of sine wave in channel 1 = %3.1f V\"%V\n",
      "print \"The frequency of sine wave in channel 1 = %3.1f kHz\"%f\n",
      "\n",
      "# Channel 2\n",
      "V_pp = 2*Y_amp2;    # Peak-to-peak value of waveform in channel 2, V\n",
      "Vm = V_pp/2;    # Amplitude of waveform in channel 2, V\n",
      "V = Vm; # rms value of square wave in channel 2, V\n",
      "T = 2./3*tb2;  # Time period of square wave, second\n",
      "f = 1./(T*1000);    # Frequency of square wave, kHz\n",
      "print \"The amplitude of square waveform in channel 2 = %3.1f V\"%Vm\n",
      "print \"The rms value of square wave in channel 2 = %3.1f V\"%V\n",
      "print \"The frequency of square wave in channel 2 = %3d kHz\"%f\n",
      "\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The amplitude of sine waveform in channel 1 = 7.5 V\n",
        "The rms value of sine wave in channel 1 = 5.3 V\n",
        "The frequency of sine wave in channel 1 = 2.5 kHz\n",
        "The amplitude of square waveform in channel 2 = 0.5 V\n",
        "The rms value of square wave in channel 2 = 0.5 V\n",
        "The frequency of square wave in channel 2 = 150 kHz\n"
       ]
      }
     ],
     "prompt_number": 27
    }
   ],
   "metadata": {}
  }
 ]
}