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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#5(B): Magnetic Properties"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 5.1, Page number 5.65"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"temperature rise is 8.43 K\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"El=10**-2*50; #energy loss(J)\n",
"H=El*60; #heat produced(J)\n",
"d=7.7*10**3; #iron rod(kg/m**3)\n",
"s=0.462*10**-3; #specific heat(J/kg K)\n",
"\n",
"#Calculation\n",
"theta=H/(d*s); #temperature rise(K)\n",
"\n",
"#Result\n",
"print \"temperature rise is\",round(theta,2),\"K\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 5.2, Page number 5.65"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"magnetic field at the centre is 14.0 weber/m**2\n",
"dipole moment is 9.0 *10**-24 ampere/m**2\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"e=1.6*10**-19; #charge(coulomb)\n",
"new=6.8*10**15; #frequency(revolutions per second)\n",
"mew0=4*math.pi*10**-7;\n",
"R=5.1*10**-11; #radius(m)\n",
"\n",
"#Calculation\n",
"i=round(e*new,4); #current(ampere)\n",
"B=mew0*i/(2*R); #magnetic field at the centre(weber/m**2)\n",
"A=math.pi*R**2;\n",
"d=i*A; #dipole moment(ampere/m**2)\n",
"\n",
"#Result\n",
"print \"magnetic field at the centre is\",round(B),\"weber/m**2\"\n",
"print \"dipole moment is\",round(d*10**24),\"*10**-24 ampere/m**2\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 5.3, Page number 5.65"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intensity of magnetisation is 5.0 ampere/m\n",
"flux density in material is 1.257 weber/m**2\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"chi=0.5*10**-5; #magnetic susceptibility\n",
"H=10**6; #field strength(ampere/m)\n",
"mew0=4*math.pi*10**-7;\n",
"\n",
"#Calculation\n",
"I=chi*H; #intensity of magnetisation(ampere/m)\n",
"B=mew0*(I+H); #flux density in material(weber/m**2)\n",
"\n",
"#Result\n",
"print \"intensity of magnetisation is\",I,\"ampere/m\"\n",
"print \"flux density in material is\",round(B,3),\"weber/m**2\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 5.4, Page number 5.65"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of Bohr magnetons is 2.22 bohr magneon/atom\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"B=9.27*10**-24; #bohr magneton(ampere m**2)\n",
"a=2.86*10**-10; #edge(m)\n",
"Is=1.76*10**6; #saturation value of magnetisation(ampere/m)\n",
"\n",
"#Calculation\n",
"N=2/a**3;\n",
"mew_bar=Is/N; #number of Bohr magnetons(ampere m**2)\n",
"mew_bar=mew_bar/B; #number of Bohr magnetons(bohr magneon/atom)\n",
"\n",
"#Result\n",
"print \"number of Bohr magnetons is\",round(mew_bar,2),\"bohr magneon/atom\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 5.5, Page number 5.66"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"average magnetic moment is 2.79 *10**-3 bohr magneton/spin\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"mew0=4*math.pi*10**-7;\n",
"H=9.27*10**-24; #bohr magneton(ampere m**2)\n",
"beta=10**6; #field(ampere/m)\n",
"k=1.38*10**-23; #boltzmann constant\n",
"T=303; #temperature(K)\n",
"\n",
"#Calculation\n",
"mm=mew0*H*beta/(k*T); #average magnetic moment(bohr magneton/spin)\n",
"\n",
"#Result\n",
"print \"average magnetic moment is\",round(mm*10**3,2),\"*10**-3 bohr magneton/spin\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 5.6, Page number 5.66"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"hysteresis loss per cycle is 188.0 J/m**3\n",
"hysteresis loss per second is 9400.0 watt/m**3\n",
"power loss is 1.23 watt/kg\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"A=94; #area(m**2)\n",
"vy=0.1; #value of length(weber/m**2)\n",
"vx=20; #value of unit length\n",
"n=50; #number of magnetization cycles\n",
"d=7650; #density(kg/m**3)\n",
"\n",
"#Calculation\n",
"h=A*vy*vx; #hysteresis loss per cycle(J/m**3)\n",
"hs=h*n; #hysteresis loss per second(watt/m**3)\n",
"pl=hs/d; #power loss(watt/kg)\n",
"\n",
"#Result\n",
"print \"hysteresis loss per cycle is\",h,\"J/m**3\"\n",
"print \"hysteresis loss per second is\",hs,\"watt/m**3\"\n",
"print \"power loss is\",round(pl,2),\"watt/kg\""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
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"nbformat": 4,
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|
