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-{
- "metadata": {
- "celltoolbar": "Raw Cell Format",
- "name": "",
- "signature": "sha256:9dcf8c834afbbdba5cac9bfd61902345de5a5912fe35cd8c01ac3ee021a2040e"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 3: Dielectric And Magnetic Materials"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.1,Page number 3-35"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "A=650*10**-6 #area\n",
- "d=4*10**-3 #seperation of plate\n",
- "Q=2*10**-10 #charge\n",
- "er=3.5 #relative permitivity\n",
- "\n",
- "e0=8.85*10**-12 #absolute permitivity\n",
- "\n",
- "V=(Q*d)/(e0*er*A)\n",
- "\n",
- "print\"voltage across capacitor =\",round(V,4),\"Volt\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "voltage across capacitor = 39.7343 Volt\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.2,Page number 3-36"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "A=2000*10**-6 #area\n",
- "d=0.5*10**-6 #seperation of plate\n",
- "er=8.0 #relative permitivity\n",
- "e0=8.85*10**-12 #absolute permitivity\n",
- "\n",
- "C=(e0*er*A)/d\n",
- "\n",
- "print\"capacitance for capacitor =\",\"{0:.3e}\".format(C),\"Faraday\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "capacitance for capacitor = 2.832e-07 Faraday\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.3,Page number 3-36"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "E=1000 #electric field\n",
- "P=4.3*10**-8 #polarization\n",
- "e0=8.854*10**-12 #absolute permitivity\n",
- "er=(P/(e0*E))+1 #as P/E=e0(er-1)\n",
- "\n",
- "print\"relative permittivity =\",round(er,4)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "relative permittivity = 5.8566\n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.4,Page number 3-36"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "#As C=e0*er*A/d\n",
- "\n",
- "e0=math.e #absolute permitivity\n",
- "\n",
- "Ag=1l\n",
- "\n",
- "Ap=Ag #Assuming Area of glass plate and plastic film is same\n",
- "\n",
- "#for glass\n",
- "\n",
- "erg=6 #relative permitivity\n",
- "\n",
- "dg=0.25 #thickness\n",
- "\n",
- "Cg=e0*erg*Ag/dg\n",
- "\n",
- "#for plastic film\n",
- "\n",
- "erp=3 #relative permitivity\n",
- "\n",
- "dp=0.1 #thickness\n",
- "\n",
- "Cp=e0*erp*Ap/dp\n",
- "\n",
- "m=Cg/Cp\n",
- "\n",
- "print\"since Cg/Cp=\",m\n",
- "\n",
- "print\"plastic film holds more charge\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "since Cg/Cp= 0.8\n",
- "plastic film holds more charge\n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.5,Page number 3-37"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "N=2.7*10**25 #no of atoms per m**3\n",
- "er=1.0000684 #dielectric constant of He atom at NTP\n",
- "e0=8.854*10**-12 #absolute permitivity\n",
- "\n",
- "a=e0*(er-1.0)/N #electronic polarizability\n",
- "\n",
- "print\"1) electronic polarizability=\",\"{0:.3e}\".format(a)\n",
- "\n",
- "R=(a/(4*3.1472*e0))**(1.0/3) #radius of helium atom\n",
- "\n",
- "print\"2) radius of He atoms =\",\"{0:.3e}\".format(R),\"meter\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1) electronic polarizability= 2.243e-41\n",
- "2) radius of He atoms = 5.860e-11 meter\n"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.6,Page number 3-37"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "er=1.000014 #dielectric constant of He atom at NTP\n",
- "Xe=er-1.0 #electric susceptibility\n",
- "\n",
- "print\"electric susceptibility =\",(Xe)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "electric susceptibility = 1.4e-05\n"
- ]
- }
- ],
- "prompt_number": 14
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.7,Page number 3-37"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "T=300 #temperature of paramagnetic material\n",
- "X=3.7*10**-3 #susceptibility of material\n",
- "\n",
- "C=X*T #using Curie's law\n",
- "\n",
- "T1=250 #temperature\n",
- "T2=600 #temperature\n",
- "\n",
- "u1=C/T1 #relative permeability of material at 250k\n",
- "\n",
- "u2=C/T2 #relative permeability of material at 350k\n",
- "\n",
- "print\"relative permeability at temp 250K=\",\"{0:.3e}\".format(u1)\n",
- "\n",
- "print\"relative permeability at temp 600K =\",\"{0:.3e}\".format(u2)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "relative permeability at temp 250K= 4.440e-03\n",
- "relative permeability at temp 600K = 1.850e-03\n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.8,Page number 3-38"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "u=0.8*10**-23 #magnetic dipole moment of an atom \n",
- "B=0.8 #magnetic field\n",
- "K=1.38*10**-23 #boltzmann constant\n",
- "\n",
- "T=(2*u*B)/(3*K) #temperature\n",
- "\n",
- "print\"Temperature at which average thermal energy of an atom is equal to magntic energy=\",round(T,4),\"K\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Temperature at which average thermal energy of an atom is equal to magntic energy= 0.3092 K\n"
- ]
- }
- ],
- "prompt_number": 18
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.9,Page number 3-38"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "B=0.5 #magnetic field\n",
- "t=27 #temperature in degree celcius\n",
- "T=273+t #temperature in kelvin\n",
- "\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "\n",
- "C=2*10**-3 #Curie's constant\n",
- "\n",
- "M=(C*B)/(u0*T) #magnetization of material\n",
- "\n",
- "print\"magnetization of paramagnetic material =\",round(M,4),\"A/m\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "magnetization of paramagnetic material = 2.6526 A/m\n"
- ]
- }
- ],
- "prompt_number": 20
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.10,Page number 3-38"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "B=10.9*10**-5 #flux density\n",
- "\n",
- "H=B/u0 #magnetic field\n",
- "\n",
- "print\"Horizontal component of magnetic field =\",round(H,4),\"A-m\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Horizontal component of magnetic field = 86.7394 A-m\n"
- ]
- }
- ],
- "prompt_number": 21
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.11,Page number 3-39"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "phi=5.9*10**-3 #magnetic flux\n",
- "ur=900 #relative permeability of material\n",
- "n=700 #number of turns\n",
- "\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "\n",
- "A=60*10**-4 #cross section area of ring\n",
- "\n",
- "l=2 #mean circumference of ring\n",
- "\n",
- "B=phi/A #flux density\n",
- "\n",
- "H=B/(u0*ur) #magnetic field\n",
- "\n",
- "At=H*l #Amp-turns required\n",
- "\n",
- "I=At/n #current required\n",
- "\n",
- "print\"Current required to produce a flux=\",round(I,4),\"Amp\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Current required to produce a flux= 2.4842 Amp\n"
- ]
- }
- ],
- "prompt_number": 22
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.12,Page number 3-39"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "phi=2.7*10**-3 #magnetic flux\n",
- "A=25*10**-4 #cross section area of ring\n",
- "r=25*10**-2 #mean circumference of ring\n",
- "la=10**-3 #air gap\n",
- "\n",
- "ur=900 #relative permeability of material\n",
- "n=400 #number of turns\n",
- "\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "\n",
- "d=40*10**-2 #mean diameter of ring\n",
- "\n",
- "li=2*math.pi*r #mean circumference of ring\n",
- "\n",
- "B=phi/A #flux density\n",
- "\n",
- "#for air gap\n",
- "\n",
- "Ha=B/(u0) #magnetic field for air gap\n",
- "\n",
- "#for iron ring\n",
- "\n",
- "Hi=B/(u0*ur) #magnetic field for iron ring\n",
- "\n",
- "#therefore, Amp turn in air gap\n",
- "\n",
- "Ata=Ha*la #Amp-turns required\n",
- "\n",
- "#therefore, Amp-turn in ring\n",
- "\n",
- "Ati=Hi*li #Amp-turns required\n",
- "\n",
- "#therrfore total mmf required\n",
- "\n",
- "mmf=Ata+Ati\n",
- "\n",
- "#Current required\n",
- "\n",
- "I=mmf/n #current required\n",
- "\n",
- "print\"Current required =\",round(I,4),\"Amp\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Current required = 5.8986 Amp\n"
- ]
- }
- ],
- "prompt_number": 23
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.13,Page number 3-40"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "n1=10 #no of turns per cm\n",
- "i=2 #current\n",
- "B=1 #flux density\n",
- "\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "\n",
- "n=n1*100 #no turns per m\n",
- "\n",
- "H=n*i\n",
- "\n",
- "print\"1) magnetic intensity =\",round(H,4),\"Amp-turn/meter\"\n",
- "\n",
- "#calculation for magnetization\n",
- "\n",
- "I=B/u0-H\n",
- "\n",
- "print\"2) magnetization =\",\"{0:.3e}\".format(I),\"Amp-turn/meter\"\n",
- "\n",
- "#relative permeability\n",
- "\n",
- "ur=B/(u0*H)\n",
- "\n",
- "print\"3) Relative Permeability of the ring =\",(int(ur))\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1) magnetic intensity = 2000.0 Amp-turn/meter\n",
- "2) magnetization = 7.938e+05 Amp-turn/meter\n",
- "3) Relative Permeability of the ring = 397\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.14,Page number 3-40"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "m=40 #wt of the core\n",
- "d=7.5*10**3 #density of iron\n",
- "n=100 #frequency\n",
- "\n",
- "V=m/d #volume of the iron core\n",
- "\n",
- "E1=3800*10**-1 #loss of energy in core per cycles/cc\n",
- "\n",
- "E2=E1*V #loss of energy in core per cycles\n",
- "\n",
- "N=60*n #no of cycles per minute\n",
- "\n",
- "E=E2*N #loss of energy per minute\n",
- "\n",
- "print\"Loss of energy per minute =\",(E),\"Joule\"\n",
- "\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Loss of energy per minute = 12160.0 Joule\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.15,Page number 3-40"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "l=30*10**-2 #length of ring\n",
- "A=1*10**-4 #cross section area of ring\n",
- "i=0.032 #current\n",
- "\n",
- "phi=2*10**-6 #magnetic flux\n",
- "\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "\n",
- "N=300 #no of turns in the coil\n",
- "\n",
- "#1) flux density\n",
- "\n",
- "B=phi/A #flux density\n",
- "\n",
- "print\"1) Flux density in the ring =\",(B),\"Wb/m**2\"\n",
- "\n",
- "#2) magnetic intensity of ring\n",
- "\n",
- "n=N/l #no of turns per unit length\n",
- "\n",
- "H=n*i #magnetic intensity\n",
- "\n",
- "print\"2) magnetic intensity =\",(H),\"Amp-turn/meter\"\n",
- "\n",
- "#3) permeability and relative permeability of the ring\n",
- "\n",
- "u=B/H\n",
- "\n",
- "print\"3) Permeability of the ring =\",\"{0:.3e}\".format(u),\"Wb/A-m\"\n",
- "\n",
- "ur=u/u0\n",
- "\n",
- "print\"4) Relative Permeability of the ring =\",round(ur,4)\n",
- "\n",
- "#4)Susceptibility\n",
- "\n",
- "Xm=ur-1\n",
- "\n",
- "print\"5) magnetic Susceptibility of the ring =\",round(Xm,4)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1) Flux density in the ring = 0.02 Wb/m**2\n",
- "2) magnetic intensity = 32.0 Amp-turn/meter\n",
- "3) Permeability of the ring = 6.250e-04 Wb/A-m\n",
- "4) Relative Permeability of the ring = 497.3592\n",
- "5) magnetic Susceptibility of the ring = 496.3592\n"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.16,Page number 3-41"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "E=3000 #loss of energy per cycle per cm**3\n",
- "m=12*10**3 #wt of the core\n",
- "d=7.5 #density of iron\n",
- "n=50 #frequency\n",
- "\n",
- "V=m/d #volume of the core\n",
- "\n",
- "El=E*V*n*60*60 #loss of energy per hour\n",
- "\n",
- "print\"Loss of energy per hour =\",(El),\"Erg\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Loss of energy per hour = 8.64e+11 Erg\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.17,Page number 3-41"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "n=50 #frequency\n",
- "V=10**-3 #volume of the specimen\n",
- "\n",
- "#Area of B-H loop\n",
- "\n",
- "A=0.5*10**3*1\n",
- "\n",
- "P=n*V*A\n",
- "\n",
- "print\"Hysteresis power loss =\",(P),\"Watt\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Hysteresis power loss = 25.0 Watt\n"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.18,Page number 3-42"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "phi=1.5*10**-4 #magnetic flux\n",
- "\n",
- "ur=900 #relative permeability of material\n",
- "\n",
- "n=600 #number of turns\n",
- "\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "\n",
- "A=5.8*10**-4 #cross section area of ring\n",
- "\n",
- "d=40*10**-2 #mean diameter of ring\n",
- "\n",
- "li=math.pi*d #mean circumference of ring\n",
- "\n",
- "la=5*10**-3 #air gap\n",
- "\n",
- "B=phi/A #flux density\n",
- "\n",
- "#for air gap\n",
- "\n",
- "Ha=B/(u0) #magnetic field for air gap\n",
- "\n",
- "#for iron ring\n",
- "\n",
- "Hi=B/(u0*ur) #magnetic field for iron ring\n",
- "\n",
- "#therefore, Amp turn in air gap\n",
- "\n",
- "Ata=Ha*la #Amp-turns required\n",
- "\n",
- "#therefore, Amp-turn in ring\n",
- "\n",
- "Ati=Hi*li #Amp-turns required\n",
- "\n",
- "#therrfore total mmf required\n",
- "\n",
- "mmf=Ata+Ati\n",
- "\n",
- "#Current required\n",
- "\n",
- "I=mmf/n #current required\n",
- "\n",
- "print\"Current required =\",round(I,4),\"Amp\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Current required = 2.194 Amp\n"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.19,Page number 3-42"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "la=1*10**-2 #air gap\n",
- "r=0.5 #radius of ring\n",
- "A=5*10**-4 #cross section area of ring\n",
- "i=5 #current\n",
- "u=6*10**-3 #permeability of iron\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "N=900 #no of turns in the coil\n",
- "\n",
- "#let reluctance of iron ring with air gap be S\n",
- "\n",
- "S=la/(u0*A)+(2*math.pi*r-la)/(u*A)\n",
- "\n",
- "print\"1) Reluctance =\",\"{0:.3e}\".format(S),\"A-T/Wb\"\n",
- "\n",
- "mmf=N*i\n",
- "\n",
- "print\"2) m.m.f =\",(mmf),\"Amp-turn\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1) Reluctance = 1.696e+07 A-T/Wb\n",
- "2) m.m.f = 4500 Amp-turn\n"
- ]
- }
- ],
- "prompt_number": 15
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.20,Page number 3-43"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "#the magnetization force is given by,\n",
- "#H=NI/l\n",
- "\n",
- "H=5*10**3 #coercivity of bar magnet\n",
- "l=10*10**-2 #length of solenoid\n",
- "N=50 #number of turns\n",
- "\n",
- "I=l*H/N\n",
- "\n",
- "print\"current =\",(I),\"Ampere\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "current = 10.0 Ampere\n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.21,Page number 3-43"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "ur=380 #relative permeability of air\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "A=5*10**-4 #cross section area of ring\n",
- "n=200 #number of turns\n",
- "d=20*10**-2 #mean diameter of ring\n",
- "\n",
- "l=math.pi*d #mean circumference of ring\n",
- "\n",
- "phi=2*10**-3 #magnetic flux\n",
- "\n",
- "S=l/(u0*ur*A) #reluctance\n",
- "\n",
- "#using ohm's law for magnetic circuit\n",
- "\n",
- "#phi=N*I/S\n",
- "\n",
- "I=S*phi/n\n",
- "\n",
- "print\"1) Reluctance =\",\"{0:.3e}\".format(S),\"A-T/Wb\"\n",
- "print\"2) current =\",round(I,4),\"Ampere\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1) Reluctance = 2.632e+06 A-T/Wb\n",
- "2) current = 26.3158 Ampere\n"
- ]
- }
- ],
- "prompt_number": 20
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.22,Page number 3-43"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "ur=1 #relative permeability of air\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "A=6*10**-4 #cross section area of torroid\n",
- "n=500 #number of turns\n",
- "r=15*10**-2 #radius of torroid\n",
- "I=4 #current in coil\n",
- "l=2*math.pi*r #mean circumference of torroid\n",
- "MMF=n*I\n",
- "\n",
- "print\"1) MMF (NI) =\",(MMF),\"AT\"\n",
- "\n",
- "R=l/(u0*ur*A) #Reluctance\n",
- "\n",
- "print\"2) Reluctance (R) =\",\"{0:.3e}\".format(R),\"AT/Wb\"\n",
- "\n",
- "phi=MMF/R #flux\n",
- "\n",
- "print\"3) Magnetic flux =\",(phi),\"Wb\"\n",
- "\n",
- "B=phi/A #flux density\n",
- "\n",
- "print\"4) Flux density =\",\"{0:.3e}\".format(B),\"Wb/m**2\"\n",
- "\n",
- "H=B/(u0*ur) #magnetic field intensity\n",
- "\n",
- "print\"5) Magnetic field intensity =\",round(H,4),\"A/m\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1) MMF (NI) = 2000 AT\n",
- "2) Reluctance (R) = 1.250e+09 AT/Wb\n",
- "3) Magnetic flux = 1.6e-06 Wb\n",
- "4) Flux density = 2.667e-03 Wb/m**2\n",
- "5) Magnetic field intensity = 2122.0659 A/m\n"
- ]
- }
- ],
- "prompt_number": 22
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.23,Page number 3-44"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "phi=10**-3 #magnetic flux\n",
- "ur=1000 #relative permeability of iron\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "A=5*10**-4 #cross section area of ring\n",
- "la=2*10**-3 #air gap\n",
- "d=20*10**-3 #mean diameter of ring\n",
- "\n",
- "li=math.pi*d-la #mean circumference of ring\n",
- "\n",
- "#using KVL for magnetic circuit\n",
- "\n",
- "#AT(total)=AT(iron)+AT(air gap)\n",
- "\n",
- "ATt=(phi/(u0*A))*((li/ur)+la)\n",
- "\n",
- "print\"Number of Ampere-Turns required =\",round(ATt,0)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Number of Ampere-Turns required = 3280.0\n"
- ]
- }
- ],
- "prompt_number": 24
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.17.24,Page number 3-44"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "#given data\n",
- "\n",
- "X=0.5*10**-5 #susceptibility of material\n",
- "\n",
- "H=10**6 #magnetic field strength\n",
- "\n",
- "I=X*H #intensity of magnetization\n",
- "\n",
- "u0=4*math.pi*10**-7 #permeability of free space\n",
- "\n",
- "B=u0*(H+I) #flux density\n",
- "\n",
- "print\"1) intensity magnetization =\",(I),\"Amp/m\"\n",
- "\n",
- "print\"2) flux density in the material =\",round(B,4),\"wb/m**2\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1) intensity magnetization = 5.0 Amp/m\n",
- "2) flux density in the material = 1.2566 wb/m**2\n"
- ]
- }
- ],
- "prompt_number": 26
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file
generated by cgit (git 2.34.1) at 2025-03-07 20:45:40 +0000