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{
"metadata": {
"name": "",
"signature": "sha256:e2ed8f14e9384f32112bf8b476c63d65b4316d749e72b2c8fa7bc92794bf7f8a"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Magnetic materials"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 10.1, Page number 305"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"#importing modules\n",
"import math\n",
"\n",
"#Variable declaration\n",
"H=10**6; #magnetic field strength in A/m\n",
"chi=0.5*10**-5; #magnetic susceptibility\n",
"\n",
"#Calculation\n",
"mew0=4*math.pi*10**-7;\n",
"M=chi*H;\n",
"B=mew0*(M+H);\n",
"B=math.ceil(B*10**3)/10**3; #rounding off to 3 decimals\n",
"\n",
"#Result\n",
"print(\"intensity of magnetisation in A/m is\",M);\n",
"print(\"flux density in Wb/m^2 is\",B);\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"('intensity of magnetisation in A/m is', 5.0)\n",
"('flux density in Wb/m^2 is', 1.257)\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 10.2, Page number 306"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#importing modules\n",
"import math\n",
"\n",
"#Variable declaration\n",
"A=6.022*10**23; #avagadro number\n",
"mew0=4*math.pi*10**-7;\n",
"w=58.7; #atomic weight of Ni\n",
"B=0.65; #saturation magnetic induction in Wb/m^2\n",
"rho=8906; #density in kg/m^3\n",
"\n",
"#Calculation\n",
"rho=rho*10**3; #converting into gm/m^3\n",
"N=(rho*A)/w;\n",
"mew_m=B/(N*mew0);\n",
"#mew_m/(9.27*10^-24) gives mew_m in mewB\n",
"mew_m=mew_m/(9.27*10**-24);\n",
"mew_m=math.ceil(mew_m*10**3)/10**3; #rounding off to 3 decimals\n",
"\n",
"#Result\n",
"print(\"magnetic moment of Ni is\",mew_m,\"mew_b\");\n",
"#that is mew_m=0.61 mew_b"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"('magnetic moment of Ni is', 0.611, 'mew_b')\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 10.3, Page number 306"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#importing modules\n",
"import math\n",
"\n",
"#Variable declaration\n",
"mew_0=4*math.pi*10**-7;\n",
"H=1800; #magnetic field in A/m\n",
"phi=3*10**-5; #magnetic flux in Wb\n",
"A=0.2; #area of cross section in cm^2\n",
"\n",
"#Calculation\n",
"A=A*10**-4; #area in m^2\n",
"B=phi/A;\n",
"mew_r=B/(mew_0*H);\n",
"mew_r=math.ceil(mew_r*10**3)/10**3; #rounding off to 3 decimals\n",
"\n",
"#Result\n",
"print(\"permeability of material is\",mew_r);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"('permeability of material is', 663.146)\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 10.4, Page number 307"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#importing modules\n",
"import math\n",
"\n",
"#Variable declaration\n",
"mew=18.4; #magnetic moment in mew_b\n",
"a=0.835; #lattice parameter in nm\n",
"\n",
"#Calculation\n",
"mew=mew*9.27*10**-24;\n",
"a=a*10**-9; #converting nm to m\n",
"V=a**3;\n",
"M=mew/V;\n",
"M=M/10**5;\n",
"M=math.ceil(M*10**4)/10**4; #rounding off to 4 decimals\n",
"\n",
"#Result\n",
"print(\"saturation magnetisation in A/m is\",M,\"*10**5\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"('saturation magnetisation in A/m is', 2.9299, '*10**5')\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 10.5, Page number 307"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"#importing modules\n",
"import math\n",
"\n",
"#Variable declaration\n",
"mew_0=4*math.pi*10**-7;\n",
"H=2*10**5; #magnetic field strength in A/m\n",
"mew_r=1.01; #relative permeability\n",
"\n",
"#Calculation\n",
"B=mew_0*mew_r*H;\n",
"B=math.ceil(B*10**5)/10**5; #rounding off to 3 decimals\n",
"M=(B/mew_0)-H;\n",
"M=math.ceil(M*10**2)/10**2; #rounding off to 2 decimals\n",
"\n",
"#Result\n",
"print(\"magnetic flux density in Wb/m^2 is\",B);\n",
"print(\"magnetisation in A/m is\",M);\n",
"\n",
"#answer for magnetisation given in the book is wrong"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"('magnetic flux density in Wb/m^2 is', 0.25385)\n",
"('magnetisation in A/m is', 2007.42)\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 10.6, Page number 307"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"#importing modules\n",
"import math\n",
"\n",
"#Variable declaration\n",
"mew_0=4*math.pi*10**-7;\n",
"H=500; #magnetic field strength in A/m\n",
"chi=1.2; #susceptibility\n",
"\n",
"#Calculation\n",
"M=chi*H;\n",
"B=mew_0*(M+H);\n",
"B=B*10**3;\n",
"B=math.ceil(B*10**4)/10**4; #rounding off to 4 decimals\n",
"\n",
"#Result\n",
"print(\"magnetic flux density in Wb/m^2 is\",B,\"*10**-3\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"('magnetic flux density in Wb/m^2 is', 1.3824, '*10**-3')\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
|
