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-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "#3: ACOUSTICS OF BUILDINGS AND SUPERCONDUCTIVITY"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.1, Page number 3.32"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 22,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Reverbration time = 3.9 s\n",
- "Final Reverbration time = 1.95 s\n",
- "Thus the reverbration time is reduced to one-half of its initial value\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "V=2265\n",
- "A=92.9\n",
- "x=2 #The absorption become 2*A of open window\n",
- "\n",
- "#Calculation\n",
- "T=(0.16*V)/A #Sabine's formula \n",
- "T2=(0.16*V)/(x*A)\n",
- "\n",
- "#Result\n",
- "print\"Reverbration time =\",round(T,1),\"s\"\n",
- "print\"Final Reverbration time =\",round(T2,2),\"s\"\n",
- "print\"Thus the reverbration time is reduced to one-half of its initial value\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.2, Page number 3.32"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 19,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Volume of the hall = 2160 m**3\n",
- "Total absorption = 430.7 m**2\n",
- "Reverbration time = 0.8 second\n",
- "Answer given for the Reverbration time in the text book is wrong\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "a1=450 #Area of plastered wall\n",
- "a2=360 #Area of wooden floor and wooden doors\n",
- "a3=24 #Area of Glass\n",
- "a4=600 #Area of seats\n",
- "a5=500 #Area of audience when they are in seats\n",
- "c1=0.03 #Coefficient of absorption of plastered wall\n",
- "c2=0.06 #Coefficient of absorption of wooden floor and wooden doors\n",
- "c3=0.025 #Coefficient of absorption of Glass\n",
- "c4=0.3 #Coefficient of absorption of seats\n",
- "c5=0.43 #Coefficient of absorption of audience when they are in seats\n",
- "l=12\n",
- "b=30\n",
- "h=6\n",
- "\n",
- "#Calculation\n",
- "V=l*b*h #volume of the hall\n",
- "A=(a1*c1)+(a2*c2)+(a3*c3)+(a4*c4)+(a5*c5) #Total absorption\n",
- "T=(0.16*V)/A #Reverbration time\n",
- "\n",
- "#Result\n",
- "print\"Volume of the hall =\",V,\"m**3\"\n",
- "print\"Total absorption =\",A,\"m**2\"\n",
- "print\"Reverbration time =\",round(T,1),\"second\"\n",
- "print\"Answer given for the Reverbration time in the text book is wrong\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.3, Page number 3.33"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 21,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Total absorpttion = 1000.0 m**2 of O.W.U.\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "T=1.2\n",
- "V=7500\n",
- "\n",
- "#Calculation\n",
- "A=(0.16*V)/T\n",
- "\n",
- "#Result\n",
- "print\"Total absorpttion =\",A,\" m**2 of O.W.U.\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.4, Page number 3.34"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 26,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "T1 = 1.45 second\n",
- "T2 = 0.73 second\n",
- "Change in Reverbration time = 0.727 second\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "V=12*10**4\n",
- "A=13200\n",
- "x=2 #The absorption become 2*A of open window\n",
- "\n",
- "#Calculation\n",
- "T1=(0.16*V)/A #Sabine's formula \n",
- "T2=(0.16*V)/(x*A)\n",
- "Td=T1-T2\n",
- "\n",
- "#Result\n",
- "print\"T1 =\",round(T1,2),\"second\"\n",
- "print\"T2 =\",round(T2,2),\"second\"\n",
- "print\"Change in Reverbration time =\",round(Td,3),\"second\"\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.6, Page number 3.34"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "critical field is 33.64 *10**3 ampere/m\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "H0=64*10**3; #initial field(ampere/m)\n",
- "T=5; #temperature(K)\n",
- "Tc=7.26; #transition temperature(K)\n",
- "\n",
- "#Calculation\n",
- "H=H0*(1-(T/Tc)**2); #critical field(ampere/m)\n",
- "\n",
- "#Result\n",
- "print \"critical field is\",round(H/10**3,2),\"*10**3 ampere/m\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.7, Page number 3.34"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Frequency of generated microwaves= 483.0 *10**9 Hz\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "e=1.6*10**-19\n",
- "V=1*10\n",
- "h=6.625*10**-34\n",
- "\n",
- "#Calculations\n",
- "v=(2*e*V**-3)/h \n",
- "\n",
- "#Result\n",
- "print\"Frequency of generated microwaves=\",round(v/10**9),\"*10**9 Hz\"\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.8, Page number 3.34"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Number of electrons per unit volume = 3.7 *10**28/m**3\n",
- "Effective mass of electron 'm*' = 17.3 *10*-31 kg\n",
- "Penetration depth = 3.81011659367 Angstroms\n",
- "#The answer given in the text book is wrong\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "d=7300 #density in (kg/m**3)\n",
- "N=6.02*10**26 #Avagadro Number\n",
- "A=118.7 #Atomic Weight\n",
- "E=1.9 #Effective mass\n",
- "e=1.6*10**-19\n",
- "\n",
- "#Calculations\n",
- "n=(d*N)/A\n",
- "m=E*9.1*10**-31\n",
- "x=4*math.pi*10**-7*n*e**2\n",
- "lamda_L=math.sqrt(m/x)\n",
- " \n",
- "#Result\n",
- "print \"Number of electrons per unit volume =\",round(n/10**28,1),\"*10**28/m**3\"\n",
- "print\"Effective mass of electron 'm*' =\",round(m*10**31,1),\"*10*-31 kg\"\n",
- "print\"Penetration depth =\",lamda_L*10**8,\"Angstroms\"\n",
- "print\"#The answer given in the text book is wrong\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {
- "collapsed": true
- },
- "source": [
- "##Example number 3.9, Page number 3.35"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 18,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Tc = 7.0969 K\n",
- "lamda0= 39.0 nm\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "lamda_L1=39.6*10**-9\n",
- "lamda_L2=173*10**-9\n",
- "T1=7.1\n",
- "T2=3\n",
- "\n",
- "#Calculations\n",
- "x=(lamda_L1/lamda_L2)**2\n",
- "Tc4=(T1**4)-((T2**4)*x)/(1-x)\n",
- "Tc=(Tc4)**(1/4)\n",
- "print\"Tc =\",round(Tc,4),\"K\"\n",
- "print\"lamda0=\",round((math.sqrt(1-(T2/Tc)**4)*lamda_L1)*10**9),\"nm\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.10, Page number 3.35"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 24,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Hc = 4.2759 *10**4\n",
- "Critical current density,Jc = 1.71 *10**8 ampere/metre**2\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "H0=6.5*10**4 #(ampere/metre)\n",
- "T=4.2 #K\n",
- "Tc=7.18 #K\n",
- "r=0.5*10**-3\n",
- "\n",
- "#Calculations\n",
- "Hc=H0*(1-(T/Tc)**2)\n",
- "Ic=(2*math.pi*r)*Hc\n",
- "A=math.pi*r**2\n",
- "Jc=Ic/A #Critical current density\n",
- "\n",
- "#Result\n",
- "print\"Hc =\",round(Hc/10**4,4),\"*10**4\"\n",
- "print \"Critical current density,Jc =\",round(Jc/10**8,2),\"*10**8 ampere/metre**2\"\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "##Example number 3.11, Page number 6.36"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 26,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "New critical temperature for mercury = 4.145 K\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "Tc1=4.185\n",
- "M1=199.5\n",
- "M2=203.4\n",
- "\n",
- "#Calculations\n",
- "Tc2=Tc1*(M1/M2)**(1/2)\n",
- "\n",
- "#Result\n",
- "print\"New critical temperature for mercury =\",round(Tc2,3),\"K\""
- ]
- }
- ],
- "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
-}
generated by cgit (git 2.34.1) at 2025-01-09 18:42:48 +0000