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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 10: Nuclear Detectors"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 1, Page number 284"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"average current is 1.33 *10**-10 amp\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"c=500; #counting rate(counts/min)\n",
"n=10**8; #number of electrons per discharge\n",
"e=1.6*10**-19; #charge(coul)\n",
"\n",
"#Calculations\n",
"tn=n*c*e; #total number of electrons collected(coul/min)\n",
"q=tn/60; #average current(amp)\n",
"\n",
"#Result\n",
"print \"average current is\",round(q*10**10,2),\"*10**-10 amp\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 2, Page number 284"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"counting rate per min is 500\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"q=1.333*10**-18; #current(amp)\n",
"e=1.6*10**-19; #charge(coul)\n",
"\n",
"#Calculations\n",
"n=q*60/e; #counting rate per min\n",
"\n",
"#Result\n",
"print \"counting rate per min is\",int(round(n))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 3, Page number 284"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"maximum permissible voltage fluctuations is 3.3 volt\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"cr=3; #change in count rate(%)\n",
"cv=100; #change in working volt(V)\n",
"crl=0.1; #count rate limit(%)\n",
"\n",
"#Calculations\n",
"V=crl*cv/cr; #maximum permissible voltage fluctuations(volt)\n",
"\n",
"#Result\n",
"print \"maximum permissible voltage fluctuations is\",round(V,1),\"volt\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 4, Page number 285"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"radial field at the centre is 9.45 *10**3 V/m\n",
"answer for radial field given in the book is wrong\n",
"counter will last for 3.7 years\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration \n",
"V=1000; #voltage(V)\n",
"r=0.02; #radius(m)\n",
"b=2*10**-2; \n",
"a=10**-4; \n",
"lt=10**9; #life time(counts)\n",
"x=2.7*10**8; \n",
"\n",
"#Calculations\n",
"Emax=V/(r*(2.3*math.log10(b/a))); #radial field at the centre(V/m)\n",
"N=lt/x; #counter will last for(years)\n",
"\n",
"#Result\n",
"print \"radial field at the centre is\",round(Emax/10**3,2),\"*10**3 V/m\"\n",
"print \"answer for radial field given in the book is wrong\"\n",
"print \"counter will last for\",round(N,1),\"years\""
]
}
],
"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
}
|
