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diff --git a/Basic_Electrical_Engineering_with_Numerical_Problems/Chapter_03.ipynb b/Basic_Electrical_Engineering_with_Numerical_Problems/Chapter_03.ipynb new file mode 100755 index 00000000..67873206 --- /dev/null +++ b/Basic_Electrical_Engineering_with_Numerical_Problems/Chapter_03.ipynb @@ -0,0 +1,529 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:237766aed9f535966fc748c815f41de623178c7900cce0f2887b456d4abe99e9"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h1>Chapter 3: Electricity and its Fundamental Laws<h1>"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.1: Page 47"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data:\n",
+ "V = 230; # in volts\n",
+ "I = 10; # in A\n",
+ "\n",
+ "# calculations:\n",
+ "R = V/I;\n",
+ "\n",
+ "#Results\n",
+ "print \"resistance of element,R =\", R,\"ohm\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "resistance of element,R = 23.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.2: Page 47"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "R1 = 0.5; # minimum value of resistance in ohm\n",
+ "R2 = 20; # maximum value of resistance in ohm\n",
+ "I = 1.2; # current in A\n",
+ "\n",
+ "#Calculation\n",
+ "V1 = I*R1;\n",
+ "V2 = I*R2;\n",
+ "\n",
+ "#Results\n",
+ "print \"Voltage drop in Ist case,V1(V)=\",V1,\"volts and voltage drop in IInd case,V2(V)=\", V2,\"volts\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Voltage drop in Ist case,V1(V)= 0.6 volts and voltage drop in IInd case,V2(V)= 24.0 volts\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.3: Page 48"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "L = 1000; # length of wire in cm\n",
+ "d = 0.14; # diameter of wire in cm\n",
+ "R1 = 2.5*10**6;# resistance in micro-ohm\n",
+ "\n",
+ "# calculations:\n",
+ "a = (math.pi*d**2)/4; # cross section area\n",
+ "p = (R1*a)/L;\n",
+ "\n",
+ "#Results\n",
+ "print \"the specific resistance,p =\", round(p,1),\" uOhm-cm\" \n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the specific resistance,p = 38.5 uOhm-cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.4: Page 49"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "Rt1 = 54.3;# resistance in ohm\n",
+ "alfa = 0.0043;# the resistance temperature of coeficient in per degree celcius\n",
+ "t1 = 20;# temperature in degree celcius\n",
+ "t2 = 40;# temperature in degree celcius\n",
+ "\n",
+ "# calculations\n",
+ "Rt2 = (Rt1*(1+(alfa*t2)))/(1+(alfa*t1));\n",
+ "\n",
+ "#Results\n",
+ "print \"resistance at 40 degC ,Rt2=\", Rt2,\" ohms\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "resistance at 40 degC ,Rt2= 58.6 ohms\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.5: Page 50"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "r1=30;# resistance in ohm\n",
+ "r2=35;# resistance in ohm\n",
+ "r3=45;# resistance in ohm\n",
+ "V=220;\n",
+ "\n",
+ "# calculations:\n",
+ "R=r1+r2+r3;\n",
+ "I=V/R;\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)total resistance,R=\", R,\" ohm\"\n",
+ "print \"(b)current,I=\", I,\"A\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)total resistance,R= 110 ohm\n",
+ "(b)current,I= 2.0 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.6: Page 50"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "I=75;# current in A\n",
+ "R=0.15;# resistance in ohm\n",
+ "v=220;# voltage in volts\n",
+ "\n",
+ "#calculations\n",
+ "V1=I*R;# voltage drop of the feeder in section AB\n",
+ "V2=I*R;# voltage drop of the feeder in section CD\n",
+ "V_total=V1+V2;# total voltage drop in the lead and return feeder\n",
+ "V=v+V_total;\n",
+ "\n",
+ "#Results\n",
+ "print \"voltage at the generating station,V=\", V,\"volts\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "voltage at the generating station,V= 242.5 volts\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.7: Page 52"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "r1=6;# resistance in ohm\n",
+ "r2=10;# resistance in ohm\n",
+ "r3=15;# resistance in ohm\n",
+ "\n",
+ "#calculations:\n",
+ "r=(1/r1)+(1/r2)+(1/r3);\n",
+ "R=1/r;\n",
+ "\n",
+ "#Results\n",
+ "print \"equivalent resistance,R=\", R,\"ohm\" \n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "equivalent resistance,R= 3.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.8: Page 53"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "I=5; # current in A\n",
+ "n=2; # number of resistance in parallel of section BC\n",
+ "r1=15;# resistance in ohm\n",
+ "r2=20;# resistance in ohm\n",
+ "r3=60;# resistance in ohm\n",
+ "r4=64;# resistance in ohm\n",
+ "r5=64;# resistance in ohm\n",
+ "r6=2.5;# resistance in ohm\n",
+ "\n",
+ "#calculation\n",
+ "R1=r4/n;# equivalent resistance of section BC\n",
+ "R2=(r1*r2*r3)/((r1*r2)+(r2*r3)+(r3*r1));# equivalent resistance of section CD\n",
+ "R=R1+R2+r6;# equivalent resistance of section AD\n",
+ "V=I*R;\n",
+ "\n",
+ "#Results\n",
+ "print \"voltage,V= \", V,\"volts\" \n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "voltage,V= 210.0 volts\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.9: Page 53"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "V=240;# voltage in volts\n",
+ "r1=2;# resistance in ohm\n",
+ "r2=3;# resistance in ohm\n",
+ "r3=8.8;# resistance in ohm\n",
+ "r4=10;# resistance in ohm\n",
+ "r5=3;# resistance in ohm\n",
+ "\n",
+ "# calculations:\n",
+ "R1=(r1*r2)/(r1+r2);# equivalent resistance of parallel branch\n",
+ "R2=R1+r3;# equivalent resistance of section ABC\n",
+ "R3=(R2*r4)/(R2+r4);\n",
+ "R=R3+r5;# total resistance of section AD\n",
+ "I=V/R;\n",
+ "V1=I*r5;# voltage drop across r5\n",
+ "V2=V-V1;# voltage drop across section ABC\n",
+ "I1=V2/r4;# current flowing through r4 resistance\n",
+ "I2=I-I1;# current in r3 resistance\n",
+ "V3=I2*r3;# voltage drop across r3 resistance, section ABC\n",
+ "V4=V2-V3;# voltage drop between section AB\n",
+ "I3=V4/r1;# current flowing through r1 resistance\n",
+ "I4=V4/r2;# current flowing through r2 resistance\n",
+ "\n",
+ "#Results\n",
+ "print \"current flowing through r1 (2 ohms) resistance,I3 =\", I3,\" A\"\n",
+ "print \"current flowing through r2 (3 ohms)resistance,I4 =\", I4,\" A\"\n",
+ "print \"total resistance,R = \", R,\" ohm\"\n",
+ "print \"voltage drop across r5(3 ohms) resistance,V1 =\", V1,\" volts\"\n",
+ "print \"voltage drop across section ABC,V2 = \", V2,\" volts\"\n",
+ "print \"voltage drop across r3 resistance(8.8 ohms),V3 = \",V3,\" Volts\"\n",
+ "print \" voltage drop between section AB,V4 = \", V4,\"volts\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "current flowing through r1 (2 ohms) resistance,I3 = 9.0 A\n",
+ "current flowing through r2 (3 ohms)resistance,I4 = 6.0 A\n",
+ "total resistance,R = 8.0 ohm\n",
+ "voltage drop across r5(3 ohms) resistance,V1 = 90.0 volts\n",
+ "voltage drop across section ABC,V2 = 150.0 volts\n",
+ "voltage drop across r3 resistance(8.8 ohms),V3 = 132.0 Volts\n",
+ " voltage drop between section AB,V4 = 18.0 volts\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.10: Page 54"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "I=44;# current in A\n",
+ "r1=6;# resistance in ohm\n",
+ "r2=12;# resistance in ohm\n",
+ "r3=18;# resistance in ohmr1\n",
+ "\n",
+ "# calculation:\n",
+ "a=(1/r1)+(1/r2)+(1/r3);\n",
+ "R=1/a;\n",
+ "V=I*R;\n",
+ "i1=V/r1;\n",
+ "i2=V/r2;\n",
+ "i3=V/r3;\n",
+ "\n",
+ "#Results\n",
+ "print \"current in 6 ohm resistance,i1 = \",i1,\"A\" \n",
+ "print \"current in 12 ohm resistance,i2 = \",i2,\"A\"\n",
+ "print \"current in 18 ohm resistance,i3 = \",i3,\"A\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "current in 6 ohm resistance,i1 = 24.0 A\n",
+ "current in 12 ohm resistance,i2 = 12.0 A\n",
+ "current in 18 ohm resistance,i3 = 8.0 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 3.11: Page 55"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given:\n",
+ "t=15 #TOTAL CURRENT IN AMPERES\n",
+ "i1=2 #CURRENT THROUGH UNKNOWN RESISTANCE\n",
+ "R1=15#in ohms\n",
+ "R2=50/2#in ohms\n",
+ "\n",
+ "# calculations:\n",
+ "x=(t-i1)*((R1*R2)/(R1+2*R2))#unknown resistance in ohms)\n",
+ "PD=i1*x#in volts\n",
+ "RX=((1/R1)+(1/(2*R2))+(1/x))#\n",
+ "R=1/RX\n",
+ "i5= PD/(2*R2)#current in 5 ohms resistance\n",
+ "i15=PD/R1#current in 15 ohms resistance\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)unknown resistance in ohms =\", x\n",
+ "print \"(b)potential drop across the circuit in volts is =\", PD\n",
+ "print \"(c)current in 5 ohms resistance in ampere =\",i5,\"\\n and current in 15 ohms resistance in ampere =\", i15\n",
+ "print \"(d)total resistance of the circuit in ohms =\",R"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)unknown resistance in ohms = 75.0\n",
+ "(b)potential drop across the circuit in volts is = 150.0\n",
+ "(c)current in 5 ohms resistance in ampere = 3.0 \n",
+ " and current in 15 ohms resistance in ampere = 10.0\n",
+ "(d)total resistance of the circuit in ohms = 10.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |