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-{
- "metadata": {
- "name": "",
- "signature": "sha256:50b83ee4e84906dcabb2d002b372255d1153b0b8a78afbf0a4be018e0c342780"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Superconducting Materials"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 12.1, Page number 356"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "Tc=3.7; #critical temperature in K\n",
- "H0=0.0306; #magnetic field in T\n",
- "T=2; #temperature in K\n",
- "\n",
- "#Calculation\n",
- "Hc=H0*(1-(T**2/Tc**2));\n",
- "Hc=math.ceil(Hc*10**5)/10**5; #rounding off to 5 decimals\n",
- "\n",
- "#Result\n",
- "print(\"critical field in T is\",Hc);\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('critical field in T is', 0.02166)\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 12.2, Page number 356"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "Tc=7.26; #critical temperature in K\n",
- "H0=6.4*10**3; #magnetic field in T\n",
- "T=5; #temperature in K\n",
- "\n",
- "#Calculation\n",
- "Hc=H0*(1-(T**2/Tc**2));\n",
- "Hc=math.ceil(Hc*10**3)/10**3; #rounding off to 3 decimals\n",
- "\n",
- "#Result\n",
- "print(\"critical field in T is\",Hc);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('critical field in T is', 3364.385)\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 12.3, Page number 357"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "Tc1=4.185; #critical temperature in K\n",
- "M1=199.5; #atomic mass\n",
- "M2=203.4; #atomic mass after changing\n",
- "\n",
- "#Calculation\n",
- "#according to maxwell equation Tc*M^0.5=constant\n",
- "#Tc1*M1^0.5=Tc2*M2^0.5\n",
- "Tc2=(Tc1*M1**0.5)/M2**0.5;\n",
- "Tc2=math.ceil(Tc2*10**6)/10**6; #rounding off to 6 decimals\n",
- "\n",
- "#Result\n",
- "print(\"critical temperature of Hg in K is\",Tc2);\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('critical temperature of Hg in K is', 4.144685)\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 12.4, Page number 357"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "d=1; #diameter of wire in mm\n",
- "T=4.2; #temperature in K\n",
- "Tc=7.18; #critical temperature in K\n",
- "H0=6.5*10**4; #magnetic field\n",
- "\n",
- "#Calculation\n",
- "d=d*10**-3; #diameter in m\n",
- "R=d/2;\n",
- "Hc=H0*(1-(T**2/Tc**2));\n",
- "HC=Hc/10**4;\n",
- "HC=math.ceil(HC*10**3)/10**3; #rounding off to 2 decimals\n",
- "Ic=2*math.pi*R*Hc;\n",
- "Ic=math.ceil(Ic*10**2)/10**2; #rounding off to 2 decimals\n",
- "A=math.pi*R**2;\n",
- "J=Ic/A;\n",
- "J=J/10**8;\n",
- "J=math.ceil(J*10**5)/10**5; #rounding off to 5 decimals\n",
- "\n",
- "#Result\n",
- "print(\"critical magnetic field at 4.2K in A/m is\",HC,\"*10**4\");\n",
- "print(\"critical current in A is\",Ic);\n",
- "print(\"critical current density in A/m^2 is\",J,\"*10**8\");"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('critical magnetic field at 4.2K in A/m is', 4.276, '*10**4')\n",
- "('critical current in A is', 134.33)\n",
- "('critical current density in A/m^2 is', 1.71035, '*10**8')\n"
- ]
- }
- ],
- "prompt_number": 15
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 12.5, Page number 358"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "e=1.6*10**-19;\n",
- "h=6.626*10**-34;\n",
- "V=6; #voltage applied in micro volts\n",
- "\n",
- "#Calculation\n",
- "V=V*10**-6; #converting micro volts to volts\n",
- "new=(2*e*V)/h;\n",
- "new=new/10**9;\n",
- "new=math.ceil(new*10**4)/10**4; #rounding off to 4 decimals\n",
- "\n",
- "#Result\n",
- "print(\"frequency of ac signal in Hz is\",new,\"*10**9\");"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('frequency of ac signal in Hz is', 2.8977, '*10**9')\n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 12.6, Page number 358"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "Kb=1.38*10**-23;\n",
- "Tc=7.19; #critical temperature in K\n",
- "\n",
- "#Calculation\n",
- "Eg=3.5*Kb*Tc;\n",
- "Eg=Eg/(1.6*10**-19); #converting J to eV\n",
- "Eg=Eg*10**3; #converting eV into milli eV\n",
- "Eg=math.ceil(Eg*10**3)/10**3; #rounding off to 3 decimals\n",
- "\n",
- "#Result\n",
- "print(\"band gap of superconducting lead in meV is\",Eg);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('band gap of superconducting lead in meV is', 2.171)\n"
- ]
- }
- ],
- "prompt_number": 17
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file
generated by cgit (git 2.34.1) at 2025-01-08 20:26:23 +0000