{ "metadata": { "name": "", "signature": "sha256:aecad4e644a378cab0352aa29e9045a53c52646739e4f4bd6cdff80f1d0741e6" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 8:Magnetic Properties" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.1 , Page no:236" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "from __future__ import division\n", "\n", "#given\n", "X=-0.5E-5; #magnetic susceptibility of silicon\n", "H=0.9E4; #in A/m (magnetic field intensity)\n", "mu0=4*3.14*1E-7; #in H/m (absolute permeability)\n", "\n", "#calculate\n", "I=X*H; #calculation of intensity of magnetism\n", "B=mu0*H*(1+X); #calculation of magnetic flux density\n", "\n", "#result\n", "print\"The intensity of magnetism is I=\",I,\"A/m\";\n", "print\"The magnetic flux density is B=\",round(B,3),\"Wb/m^2\";\n", "print \"NOTE: The answer in the textbook is wrong\" " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The intensity of magnetism is I= -0.045 A/m\n", "The magnetic flux density is B= 0.011 Wb/m^2\n", "NOTE: The answer in the textbook is wrong\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.2 , Page no:236" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "from __future__ import division\n", "\n", "#given\n", "r=0.052; #in nm (radius of orbit)\n", "B=1; #in Wb/m^2 (magnetic field of induction)\n", "e=1.6E-19; #in C (charge of electron)\n", "m=9.1E-31; #in Kg (mass of electron)\n", "\n", "#calculate\n", "r=0.052*1E-9; #changing unit from nm to m\n", "d_mu=(e**2*r**2*B)/(4*m); #calculation of change in magnetic moment\n", "\n", "#result\n", "print\"The change in magnetic moment is =\",d_mu,\"Am^2\";\n", "print \"NOTE: The answer in the textbook is wrong\" " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The change in magnetic moment is = 1.90171428571e-29 Am^2\n", "NOTE: The answer in the textbook is wrong\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.3 , Page no:236" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "from __future__ import division\n", "\n", "#given\n", "H=220; #in A/m (magnetic field intensity)\n", "I=3300; #in A/m (intensity of magnetisation)\n", "\n", "#calculate\n", "mu_r=1+(I/H); #calculation of relative permeability\n", "\n", "#result\n", "print\"The relative permeability of a ferromagentic material is =\",mu_r;" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The relative permeability of a ferromagentic material is = 16.0\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.4 , Page no:236" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "from __future__ import division\n", "\n", "#given\n", "I=3000; #in A/m (intensity of magnetisation)\n", "B=0.005; #in Wb/m^2 (magnetic flus intensity)\n", "pi=3.14; #value of pi used in the solution\n", "mu0=4*pi*1E-7; #in H/m (absolute permeability)\n", "\n", "#calculate\n", "H=(B/mu0)-I; #calculation of magnetic force\n", "mu_r=(I/H)+1; #calculation of relative permeability\n", "\n", "#result\n", "print\"The magnetic force is H=\",H;\n", "print\"The relative permeability is =\",mu_r;" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The magnetic force is H= 980.891719745\n", "The relative permeability is = 4.05844155844\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.5 , Page no:237" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "from __future__ import division\n", "\n", "#given\n", "H=4E3; #in A/m (magnetic field intensity)\n", "N=60; #number of turns\n", "l=12; #in cm (length of solenoid)\n", "\n", "#calculate\n", "n=N/(l*1E-2); #calculation of number of turns per unit metre\n", "#Snice H=n*i;\n", "i=H/n; #calculation of current through the solenoid\n", "\n", "#result\n", "print\"The current through the solenoid is i=\",i,\"A\";" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The current through the solenoid is i= 8.0 A\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.6 , Page no:237" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "from __future__ import division\n", "\n", "#given\n", "l=30; #in cm (length of solenoid)\n", "A=1; #in cm^2 (cross-sectional area)\n", "N=300; #number of turns\n", "i=0.032; #in A (current through the winding)\n", "phi_B=2E-6; #in Wb (magnetic flux)\n", "pi=3.14; #value of pi used in the solution\n", "mu0=4*pi*1E-7; #in H/m (absolute permeability)\n", "\n", "#calculate\n", "l=l*1E-2; #changing unit from cm to m\n", "A=A*1E-4; #changing unit from cm^2 to m^2\n", "B=phi_B/A; #calculation of flux density\n", "H=N*i/l; #calculation of magnetic intensity\n", "mu=B/H; #calcluation of absolute permeability of iron\n", "mu_r=mu/mu0; #calcluation of relative permeability of iron\n", "\n", "#result\n", "print\"The flux density is B=\",B,\"Wb/m^2\";\n", "print\"The magnetic intensity is H=\",H,\"A-turns/m\";\n", "print\"The relative permeability of iron is =\",round(mu_r),\" (roundoff error)\";\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The flux density is B= 0.02 Wb/m^2\n", "The magnetic intensity is H= 32.0 A-turns/m\n", "The relative permeability of iron is = 498.0 (roundoff error)\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 8.7 , Page no:238" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "from __future__ import division\n", "\n", "#given\n", "A=100; #in m^2 (area of Hysteresis loop)\n", "B=0.01; #in Wb/m^2 (unit space along vertical axis or magnetic flux density)\n", "H=40; #in A/m (unit space along horizontal axis or magnetic fild ntensity)\n", "\n", "#calculate\n", "H_L=A*B*H; #calculation of magnetic intensity\n", "\n", "#result\n", "print\"The Hystersis loss per cycle is =\",round(H_L),\"J/m^2\";" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The Hystersis loss per cycle is = 40.0 J/m^2\n" ] } ], "prompt_number": 7 } ], "metadata": {} } ] }