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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 16: Superconductivity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 1, Page number 384"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"critical magnetic field is 6.37 *10**4 A/m\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"HcT=3.3*10**4; #critical magnetic field(A/m)\n",
"T=5; #temperature(K)\n",
"Tc=7.2; #critical temperature(K)\n",
"\n",
"#Calculations\n",
"Hc0=HcT/(1-(T/Tc)**2); #magnetic field(A/m)\n",
"\n",
"#Result\n",
"print \"magnetic field is\",round(Hc0/10**4,2),\"*10**4 A/m\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 2, Page number 384"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"temperature is 7.08 K\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"HcT=4*10**4; #critical magnetic field(A/m)\n",
"Tc=7.26; #critical temperature(K)\n",
"Hc0=8*10**5; #magnetic field(A/m)\n",
"\n",
"#Calculations\n",
"T=Tc*math.sqrt(1-(HcT/Hc0)); #temperature(K)\n",
"\n",
"#Result\n",
"print \"temperature is\",round(T,2),\"K\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 3, Page number 384"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"temperature is 6.83 K\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"Hc0=1; #assume\n",
"HcT=0.1*Hc0; #critical magnetic field(A/m)\n",
"Tc=7.2; #critical temperature(K)\n",
"\n",
"#Calculations\n",
"T=Tc*math.sqrt(1-(HcT/Hc0)); #temperature(K)\n",
"\n",
"#Result\n",
"print \"temperature is\",round(T,2),\"K\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 4, Page number 385"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"critical magnetic field is 0.0217 tesla\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"Hc0=0.0306; #magnetic field(Tesla)\n",
"T=2; #temperature(K)\n",
"Tc=3.7; #critical temperature(K)\n",
"\n",
"#Calculations\n",
"HcT=Hc0*(1-(T/Tc)**2); #critical magnetic field(tesla)\n",
"\n",
"#Result\n",
"print \"critical magnetic field is\",round(HcT,4),\"tesla\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 5, Page number 385"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"transition temperature is 8.21 K\n",
"answer given in the book is wrong\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"HcT=1*10**4; #critical magnetic field(A/m)\n",
"T=8; #temperature(K)\n",
"Hc0=2*10**5; #magnetic field(A/m)\n",
"\n",
"#Calculations\n",
"Tc=T/math.sqrt(1-(HcT/Hc0)); #transition temperature(K)\n",
"\n",
"#Result\n",
"print \"transition temperature is\",round(Tc,2),\"K\"\n",
"print \"answer given in the book is wrong\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 6, Page number 385"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"transition temperature is 14.5 K\n",
"critical field at 0K is 20.66 *10**5 A/m\n",
"critical field at 4.2K is 18.9 *10**5 A/m\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"Hc1=1.4*10**5; #critical magnetic field(A/m)\n",
"Hc2=4.2*10**5; #critical magnetic field(A/m)\n",
"T1=14; #temperature(K)\n",
"T2=13; #temperature(K)\n",
"T3=4.2; #temperature(K)\n",
"\n",
"#Calculations\n",
"Tc=round(math.sqrt(((Hc1*T2**2)-(Hc2*T1**2))/(Hc1-Hc2)),1); #transition temperature(K)\n",
"H0=Hc1/(1-(T1/Tc)**2); #critical field at 0K(A/m)\n",
"Hc=H0*(1-(T3/Tc)**2); #critical field at 4.2K(A/m)\n",
"\n",
"#Result\n",
"print \"transition temperature is\",Tc,\"K\"\n",
"print \"critical field at 0K is\",round(H0/10**5,2),\"*10**5 A/m\"\n",
"print \"critical field at 4.2K is\",round(Hc/10**5,1),\"*10**5 A/m\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 7, Page number 390"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"critical current is 24.819 amp\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"r=(10**-3)/2; #radius(m)\n",
"Hc=7.9*10**3; #critical field(A/m)\n",
"\n",
"#Calculations\n",
"Ic=2*math.pi*r*Hc; #critical current(amp)\n",
"\n",
"#Result\n",
"print \"critical current is\",round(Ic,3),\"amp\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 8, Page number 390"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"critical magnetic field is 4.276 *10**4 A/m\n",
"critical current is 134.3 amp\n",
"current density is 1.71 *10**8 A/m**2\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"Hc0=6.5*10**4; #magnetic field(Tesla)\n",
"T=4.2; #temperature(K)\n",
"Tc=7.18; #critical temperature(K)\n",
"r=(10**-3)/2; #radius(m)\n",
"\n",
"#Calculations\n",
"HcT=Hc0*(1-(T/Tc)**2); #critical magnetic field(tesla)\n",
"Ic=2*math.pi*r*HcT; #critical current(amp)\n",
"A=math.pi*r**2; #area(m**2)\n",
"Jc=Ic/A; #current density(A/m**2)\n",
"\n",
"#Result\n",
"print \"critical magnetic field is\",round(HcT/10**4,3),\"*10**4 A/m\"\n",
"print \"critical current is\",round(Ic,1),\"amp\"\n",
"print \"current density is\",round(Jc/10**8,2),\"*10**8 A/m**2\""
]
}
],
"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": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
