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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#12: Superconducting Materials"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 12.1, Page number 328"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The transition temperature for the isotope of mercury of mass number 200 is 4.2209 K\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"M1=202; #mass number of mercury\n",
"a=0.50; #coefficient of mass number\n",
"T1=4.2; #temperaturefor mass number 200(K)\n",
"M2=200; #mass number of mercury\n",
"\n",
"#Calculation\n",
"T2=((M1/M2)**a)*T1; #The transition temperature for the isotope of mercury of mass number 200(K)\n",
"\n",
"#Result\n",
"print \"The transition temperature for the isotope of mercury of mass number 200 is\",round(T2,4),\"K\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 12.2, Page number 328"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The critical field is 0.1117 T\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"Tc=9.15; #critical temperature of Nb(K)\n",
"t=6; #temperature of critical field(K)\n",
"Ho=0.196; #The critical field AT 0K(T)\n",
"\n",
"#Calculation\n",
"Hc=(Ho*(1-(t/Tc)**2)); #The critical field at 6K(T)\n",
"\n",
"#Result\n",
"print \"The critical field is\",round(Hc,4),\"T\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 12.3, Page number 329"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Isotopic mass if the critical temperature falls is 204.55\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"M1=199.5; #Isotopic mass of metal\n",
"T1=4.185; #Critical temperature for a metal with isotopic mass(K)\n",
"T2=4.133; #fall of critical temperature for a metal with isotopic mass(K)\n",
"a=0.50; #coefficient of mass\n",
"\n",
"#Calculation\n",
"M2=(((M1)**a)*(T1/T2))**2; #The Isotopic mass if the critical temperature falls to 4.133\n",
"\n",
"#Result\n",
"print \"The Isotopic mass if the critical temperature falls is\",round(M2,2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 12.4, Page number 329"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The critical current through a long thin superconductor is 22.619 A\n",
"answer varies due to rounding off errors\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"Hc=7.2*10**3; #The critical magnetic field(A/m)\n",
"r=0.5*10**-3; #radius of long thin superconducting wire(m)\n",
"\n",
"#Calculation\n",
"Ic=(2*math.pi*Hc*r); #The critical current through a long thin superconductor(A)\n",
"\n",
"#Result\n",
"print \"The critical current through a long thin superconductor is\",round(Ic,3),\"A\"\n",
"print \"answer varies due to rounding off errors\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 12.5, Page number 329"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The critical field is 0.021659 tesla\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"Tc=3.7; #critical temperature of superconducting Sn(K)\n",
"t=2; #temperature of critical field(K)\n",
"Ho=0.0306; #The critical field at 0K(T)\n",
"\n",
"#Calculation\n",
"Hc=(Ho*(1-(t/Tc)**2)); #The critical field at 6K(T)\n",
"\n",
"#Result\n",
"print \"The critical field is\",round(Hc,6),\"tesla\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 12.6, Page number 329"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The critical density for a superconducting wire of lead is 134.33 A\n",
"answer varies due to rounding off errors\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"Ho=6.5*10**4; #The critical field at 0K(A/m)\n",
"Tc=7.18; #The temperature for lead(K)\n",
"r=0.5*10**-3; #radius of superconducting wire of lead(m)\n",
"T=4.2; #temperature of superconducting wire(K)\n",
"\n",
"#Calculation\n",
"Hc=(Ho*(1-(T/Tc)**2)); #The critical field(KA/m)\n",
"Ic=2*math.pi*Hc*r; #The critical density for a superconducting wire of lead(A)\n",
"\n",
"#Result\n",
"print \"The critical density for a superconducting wire of lead is\",round(Ic,2),\"A\"\n",
"print \"answer varies due to rounding off errors\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 12.7, Page number 330"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The critical temperature is 12.13395 K\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"Hc=10**5; #The critical field for vanadium(A/m)\n",
"Ho=2*10**5; #The critical field for vanadium at 0K(A/m)\n",
"T=8.58; #temperature for vanadium(K)\n",
"\n",
"#Calculation\n",
"Tc=T/math.sqrt(1-(Hc/Ho)); #The critical temperature(K)\n",
"\n",
"#Result\n",
"print \"The critical temperature is\",round(Tc,5),\"K\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 12.8, Page number 338"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The frequency of the radiation emitted by the junction is 2.85196 *10**9 Hz\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"V=5.9*10**-6; #voltage applied across a Josephson junction(V)\n",
"e=1.6*10**-19; #charge of electron(c)\n",
"h=6.62*10**-34; #Planck's constant(J-sec)\n",
"\n",
"#Calculation\n",
"v=(2*e*V)/h; #The frequency of the radiation emitted by the junction(Hz)\n",
"\n",
"#Result\n",
"print \"The frequency of the radiation emitted by the junction is\",round(v/10**9,5),\"*10**9 Hz\""
]
}
],
"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"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
