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diff --git a/Electrical_Circuit_Theory_And_Technology/chapter_14-checkpoint_3.ipynb b/Electrical_Circuit_Theory_And_Technology/chapter_14-checkpoint_3.ipynb new file mode 100755 index 00000000..d91a1cbb --- /dev/null +++ b/Electrical_Circuit_Theory_And_Technology/chapter_14-checkpoint_3.ipynb @@ -0,0 +1,886 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:a70fbdcc8331977a000d59120f5c4fa11beaa27b252ae9d065173da18ee666e9"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h1>Chapter 14: Alternating voltages and currents</h1>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 1, page no. 195</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "f1 = 50;# in Hz\n",
+ "f2 = 20000;# in Hz\n",
+ "\n",
+ "#calculation:\n",
+ "T1 = 1/f1\n",
+ "T2 = 1/f2\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n (a) Periodic time T = \",T1,\" secs\\n\"\n",
+ "print \"\\n (b) Periodic time T = \",(T2/1E-6),\" usecs\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " (a) Periodic time T = 0.02 secs\n",
+ "\n",
+ "\n",
+ " (b) Periodic time T = 50.0 usecs\n",
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 2, page no. 195</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "T1 = 0.004;# in secs\n",
+ "T2 = 4E-6;# in secs\n",
+ "\n",
+ "#calculation:\n",
+ "f1 = 1/T1\n",
+ "f2 = 1/T2\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n (a) Frequency f = \",f1,\" Hz\\n\"\n",
+ "print \"\\n (b) Frequency f = \",(f2/1E6),\" MHz\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " (a) Frequency f = 250.0 Hz\n",
+ "\n",
+ "\n",
+ " (b) Frequency f = 0.25 MHz\n",
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 3, page no. 195</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "T = (8E-3)/5;# in secs\n",
+ "\n",
+ "#calculation:\n",
+ "f = 1/T\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n Frequency f = \",f,\" Hz\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " Frequency f = 625.0 Hz"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 4, page no. 196</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "Ta = 0.02;# Time for 1 complete cycle in secs\n",
+ "Vamax = 200;# in volts\n",
+ "Va1 = 25;# in volts\n",
+ "Va2 = 75;# in volts\n",
+ "Va3 = 125;# in volts\n",
+ "Va4 = 175;# in volts\n",
+ "Tb = 0.016;# Time for 1 complete cycle in secs\n",
+ "Ibmax = 10;# in Amperes\n",
+ "\n",
+ "#calculation:\n",
+ "#for Triangular waveform (Figure 14.5(a))\n",
+ "fa = 1/Ta\n",
+ "Aaw = Ta*Vamax/4\n",
+ "Vaavg = Aaw*2/Ta\n",
+ "Varms = (((Va1**2) + (Va2**2) + (Va3**2) + (Va4**2))/4)**0.5\n",
+ "#Note that the greater the number of intervals chosen, the greater the accuracy of the result\n",
+ "Ffa = Varms/Vaavg\n",
+ "Pfa = Vamax/Varms\n",
+ "\n",
+ "#for Rectangular waveform (Figure 14.5(b))\n",
+ "fb = 1/Tb\n",
+ "Abw = Tb*Ibmax/2\n",
+ "Ibavg = Abw*2/Tb\n",
+ "Ibrms = 10\n",
+ "Ffb = Ibrms/Ibavg\n",
+ "Pfb = Ibmax/Ibrms\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n (a1)Frequency f = \",fa,\" Hz\\n\"\n",
+ "print \"\\n (a2)average value over half a cycle = \",Vaavg,\" V\\n\"\n",
+ "print \"\\n (a3)rms value = \",round(Varms,2),\" V\\n\"\n",
+ "print \"\\n (a4)Form factor = \",round(Ffa,2),\"\\n\"\n",
+ "print \"\\n (a5)Peak factor = \",round(Pfa,2),\"\\n\"\n",
+ "print \"\\n (b1)Frequency f = \",fb,\" Hz\\n\"\n",
+ "print \"\\n (b2)average value over half a cycle = \",Ibavg,\" A\\n\"\n",
+ "print \"\\n (b3)rms value = \",Ibrms,\" A\\n\"\n",
+ "print \"\\n (b4)Form factor = \",Ffb,\"\\n\"\n",
+ "print \"\\n (b5)Peak factor = \",Pfb,\"\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " (a1)Frequency f = 50.0 Hz\n",
+ "\n",
+ "\n",
+ " (a2)average value over half a cycle = 100.0 V\n",
+ "\n",
+ "\n",
+ " (a3)rms value = 114.56 V\n",
+ "\n",
+ "\n",
+ " (a4)Form factor = 1.15 \n",
+ "\n",
+ "\n",
+ " (a5)Peak factor = 1.75 \n",
+ "\n",
+ "\n",
+ " (b1)Frequency f = 62.5 Hz\n",
+ "\n",
+ "\n",
+ " (b2)average value over half a cycle = 10.0 A\n",
+ "\n",
+ "\n",
+ " (b3)rms value = 10 A\n",
+ "\n",
+ "\n",
+ " (b4)Form factor = 1.0 \n",
+ "\n",
+ "\n",
+ " (b5)Peak factor = 1.0 "
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 5, page no. 198</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "import numpy \n",
+ "from numpy import mean, sqrt, arange\n",
+ "#initializing the variables:\n",
+ "Thalf = 5; #in ms\n",
+ "Ta = 0.02;# Time for 1 complete cycle in secs\n",
+ "\n",
+ "#calculation:\n",
+ "Tfull = 2*Thalf/1000 # in sec\n",
+ "f = 1/Tfull\n",
+ "A=[3, 10, 19, 30, 49, 63, 73, 72, 30, 2]\n",
+ "Iinst125 = 19\n",
+ "Iinst38 = 70\n",
+ "sq = 0\n",
+ "Ipeak = 76\n",
+ "#B=arange(A)\n",
+ "Imean = (0.5*1E-3)*numpy.mean(A)*10/(5*1E-3)\n",
+ "for h in range(10):\n",
+ " sq = sq + A[h]**2\n",
+ "\n",
+ "Irms = sqrt(sq/10)\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n (a)Frequency f = \",f,\" Hz\\n\"\n",
+ "print \"\\n (b)Instantaneous value of current after 1.25 ms =\",Iinst125,\"A \"\n",
+ "print \"and Instantaneous value of current after 3.8 ms\", Iinst38,\"A\\n\"\n",
+ "print \"\\n (c)Peak or maximum value = \",Ipeak,\" A\\n\"\n",
+ "print \"\\n (d)Mean or average value = \",round(Imean,2),\"A\\n\"\n",
+ "print \"\\n (e)rms value = \",round(Irms,1),\"A\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " (a)Frequency f = 100.0 Hz\n",
+ "\n",
+ "\n",
+ " (b)Instantaneous value of current after 1.25 ms = 19 A and Instantaneous value of current after 3.8 ms 70 A\n",
+ "\n",
+ "\n",
+ " (c)Peak or maximum value = 76 A\n",
+ "\n",
+ "\n",
+ " (d)Mean or average value = 35.1 A\n",
+ "\n",
+ "\n",
+ " (e)rms value = 43.8 A"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 6, page no. 200</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "Imax = 20;# in Amperes\n",
+ "\n",
+ "#calculation:\n",
+ "#for a sine wave\n",
+ "Irms = Imax/(2**0.5)\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n Rms value = \",round(Irms,2),\" A\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " Rms value = 14.14 A"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 7, page no. 200</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "Vrms = 240;# in Volts\n",
+ "\n",
+ "#calculation:\n",
+ "#for a sine wave\n",
+ "Vmax = Vrms*(2**0.5)\n",
+ "Vmean = 0.637*Vmax\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n peak value = \",round(Vmax,2),\" V\\n\"\n",
+ "print \"\\n mean value = \",round(Vmean,2),\" V\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " peak value = 339.41 V\n",
+ "\n",
+ "\n",
+ " mean value = 216.2 V"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 8, page no. 200</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "Vmean = 150;# in Volts\n",
+ "\n",
+ "#calculation:\n",
+ "#for a sine wave\n",
+ "Vmax = Vmean/0.637\n",
+ "Vrms = 0.707*Vmax\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n peak value = \",round(Vmax,2),\" V\\n\"\n",
+ "print \"\\n rms value = \",round(Vrms,2),\" V\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " peak value = 235.48 V\n",
+ "\n",
+ "\n",
+ " rms value = 166.48 V"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 9, page no. 201</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "Vmax = 282.8;# in Volts\n",
+ "w = 314;# in rad/sec\n",
+ "t = 0.004;# in sec\n",
+ "\n",
+ "#calculation:\n",
+ "#for a sine wave\n",
+ "Vrms = 0.707*Vmax\n",
+ "f = w/(2*math.pi)\n",
+ "v = Vmax*math.sin(w*t)\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n (a)rms value = \",round(Vrms,2),\" V\\n\"\n",
+ "print \"\\n (b)frequency f = \",round(f,2),\" Hz\\n\"\n",
+ "print \"\\n (c)instantaneous value of voltage at 4 ms = \",round(v,2),\" V\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " (a)rms value = 199.94 V\n",
+ "\n",
+ "\n",
+ " (b)frequency f = 49.97 Hz\n",
+ "\n",
+ "\n",
+ " (c)instantaneous value of voltage at 4 ms = 268.9 V"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 10, page no. 202</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "Vmax = 75;# in Volts\n",
+ "w = 200*math.pi;# in rad/sec\n",
+ "t = 0.004;# in sec\n",
+ "phi = 0.25;# in radians\n",
+ "\n",
+ "#calculation:\n",
+ "#for a sine wave\n",
+ "Vptp = 2*Vmax\n",
+ "Vrms = 0.707*Vmax\n",
+ "f = w/(2*math.pi)\n",
+ "T = 1/f\n",
+ "v = Vmax*math.sin(w*t)\n",
+ "phid = phi*180/math.pi\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n (a) Amplitude, or peak value = \",Vmax,\" V\\n\"\n",
+ "print \"\\n (b) Peak-to-peak value = \",Vptp,\" V\\n\"\n",
+ "print \"\\n (c)rms value = \",Vrms,\" V\\n\"\n",
+ "print \"\\n (d)periodic time, T = \",T,\" sec\\n\"\n",
+ "print \"\\n (e)frequency f = \",f,\" Hz\\n\"\n",
+ "print \"\\n (f)phase angle = \",round(phid,2),\"deg lagging\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " (a) Amplitude, or peak value = 75 V\n",
+ "\n",
+ "\n",
+ " (b) Peak-to-peak value = 150 V\n",
+ "\n",
+ "\n",
+ " (c)rms value = 53.025 V\n",
+ "\n",
+ "\n",
+ " (d)periodic time, T = 0.01 sec\n",
+ "\n",
+ "\n",
+ " (e)frequency f = 100.0 Hz\n",
+ "\n",
+ "\n",
+ " (f)phase angle = 14.32 deg lagging\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 11, page no. 202</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "Vmax = 40;# in Volts\n",
+ "T = 0.01;# in sec\n",
+ "v = -20;# when t = 0sec, in volts\n",
+ "t = 0;# in secs\n",
+ "\n",
+ "#calculation:\n",
+ "#for a sine wave\n",
+ "w = 2*math.pi/T\n",
+ "phir = math.asin(v/Vmax)\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n instantaneous voltage v = \", Vmax,\" sin(\",round(w,2),\"t\",round(phir,2),\") V\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " instantaneous voltage v = 40 sin( 628.32 t -0.52 ) V"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 12, page no. 203</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "Imax = 120;# in Amperes\n",
+ "w = 100*math.pi;# in rad/sec\n",
+ "phi = 0.36;# in rad\n",
+ "t1 = 0;# in secs\n",
+ "t2 = 0.008;# in secs\n",
+ "i = 60;# in amperes\n",
+ "\n",
+ "#calculation:\n",
+ "#for a sine wave\n",
+ "f = w/(2*math.pi)\n",
+ "T = 1/f\n",
+ "phid = phi*180/math.pi\n",
+ "i0 = Imax*math.sin((w*t1)+phi)\n",
+ "i8 = Imax*math.sin((w*t2)+phi) \n",
+ "ti = (math.asin(i/Imax) - phi)/w\n",
+ "tm1 = (math.asin(Imax/Imax) - phi)/w\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n (a)Peak value = \", Imax,\" A, Periodic time T = \", T,\" sec, \"\n",
+ "print \" Frequency, f = \", f,\" Hz Phase angle = \",round(phid,2),\"deg leading\\n\"\n",
+ "print \"\\n (b) When t = 0, i = \",round(i0,2),\" A\\n\"\n",
+ "print \"\\n (c)When t = 8 ms = \", round(i8,2),\" A\\n\"\n",
+ "print \"\\n (d)When i is 60 A, then time t = \",round((ti/1E-3),2),\" ms\\n\"\n",
+ "print \"\\n (e)When the current is a maximum, time, t = \", round((tm1/1E-3),2),\" ms\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " (a)Peak value = 120 A, Periodic time T = 0.02 sec, \n",
+ " Frequency, f = 50.0 Hz Phase angle = 20.63 deg leading\n",
+ "\n",
+ "\n",
+ " (b) When t = 0, i = 42.27 A\n",
+ "\n",
+ "\n",
+ " (c)When t = 8 ms = 31.81 A\n",
+ "\n",
+ "\n",
+ " (d)When i is 60 A, then time t = 0.52 ms\n",
+ "\n",
+ "\n",
+ " (e)When the current is a maximum, time, t = 3.85 ms\n",
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 13, page no. 204</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "i1max = 20;# in Amperes\n",
+ "i2max = 10;# in Amperes\n",
+ "phi1 = 0;# in rad\n",
+ "phi2 = math.pi/3;# in rad\n",
+ "\n",
+ "#calculation:\n",
+ "#Ig = i1 + i2\n",
+ "Igmax = 26.5\n",
+ "phiIg = 19*math.pi/180\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n Current Ig = i1 + i2 =\", Igmax,\"sin(wt + \",round(phiIg,3),\") Amps\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " Current Ig = i1 + i2 = 26.5 sin(wt + 0.332 ) Amps"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 14, page no. 205</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "V1max = 50;# in volts\n",
+ "V2max = 100;# in volts\n",
+ "phi2 = -1*math.pi/6;# in rad\n",
+ "\n",
+ "#calculation:\n",
+ "#vR2 = v1**2 + v2**2 - 2*v1*v2 cos 150\n",
+ "phidiff = math.pi + phi2\n",
+ "Vrmax = (V1max**2 + V2max**2 - 2*V1max*V2max*math.cos(phidiff))**0.5\n",
+ "#Using the sine rule\n",
+ "phi = math.asin(V2max*math.sin(phidiff)/Vrmax)\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n VR = \",round(Vrmax,2),\"sin(wt - \",round(phi,2),\") V\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " VR = 145.47 sin(wt - 0.35 ) V"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h3>Example 15, page no. 206</h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "#initializing the variables:\n",
+ "I1max = 20;# in volts\n",
+ "I2max = 10;# in volts\n",
+ "phi2 = 1*math.pi/3;# in rad\n",
+ "\n",
+ "#calculation:\n",
+ "#iR2 = i1**2 + i2**2 - 2*i1*i2cos150\n",
+ "phidiff = math.pi - phi2\n",
+ "Irmax = (I1max**2 + I2max**2 - 2*I1max*I2max*math.cos(phidiff))**0.5\n",
+ "#Using the sine rule\n",
+ "phi = math.asin(I2max*math.sin(phidiff)/Irmax)\n",
+ "\n",
+ "#Results\n",
+ "print \"\\n\\n Result \\n\\n\"\n",
+ "print \"\\n IR = \", round(Irmax,2),\"sin(wt + \",round(phi,2),\") V\\n\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n",
+ "\n",
+ " Result \n",
+ "\n",
+ "\n",
+ "\n",
+ " IR = 26.46 sin(wt + 0.33 ) V"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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