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{
"metadata": {
"name": "",
"signature": "sha256:ba3f78351f4be2023ce816790e91ae988fafb883f552e13733bb7da3271b13e0"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"1: Electrostatics-Basic concepts"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.1, Page number 12"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"r=0.053*10**-9; #distance(m)\n",
"q1=1.6*10**-19; #charge on electron(C)\n",
"q2=1.6*10**-19; #charge on proton(C)\n",
"#let x=1/(4*math.pi*epsilon0)\n",
"x=9*10**9;\n",
"\n",
"#Calculation\n",
"F=x*q1*q2/(r**2); #force of attraction(N)\n",
"\n",
"#Result\n",
"print \"force of attraction is\",round(F*10**8,1),\"*10**-8 N\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"force of attraction is 8.2 *10**-8 N\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.2, Page number 13"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"r=2; #distance(m)\n",
"q1plusq2=5*10**-4; #positive charge(C)\n",
"#let x=1/(4*math.pi*epsilon0)\n",
"x=9*10**9;\n",
"F=1; #force(N)\n",
"\n",
"#Calculation\n",
"q1q2=F*(r**2)/x; #product of charges(C**2)\n",
"q1minusq2=math.sqrt((q1plusq2**2)-(4*q1q2)); ##difference of charges(C)\n",
"twoq1=q1plusq2+q1minusq2;\n",
"q1=twoq1/2; #charge on individual sphere(C)\n",
"twoq2=q1plusq2-q1minusq2;\n",
"q2=twoq2/2; #charge on individual sphere(C)\n",
"\n",
"#Result\n",
"print \"the charges on individual spheres are\",round(q1*10**4,3),\"*10**-4 and\",round(q2*10**4,3),\"*10**-4\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"the charges on individual spheres are 4.991 *10**-4 and 0.009 *10**-4\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.3, Page number 13"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"m=9.1*10**-31; #mass of electron(kg)\n",
"g=9.8; #acceleration due to gravity(m/sec**2)\n",
"q=1.6*10**-19; #charge on electron(C)\n",
"\n",
"#Calculation\n",
"F1=m*g; #force by electron(N)\n",
"E=F1/(2*q); #intensity of electric field(N/C)\n",
"\n",
"#Result\n",
"print \"intensity of electric field is\",round(E*10**11,3),\"*10**-11 N/C\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"intensity of electric field is 2.787 *10**-11 N/C\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.4, Page number 14"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"r=12*10**-2; #distance(m)\n",
"q1=2*10**-7; #charge(C)\n",
"q2=8.5*10**-8; #charge(C)\n",
"#let x=1/(4*math.pi*epsilon0)\n",
"x=9*10**9;\n",
"\n",
"#Calculation\n",
"E1=x*q2/(r**2); #intensity at electric field at q1 due to q2(N/C)\n",
"E2=x*q1/(r**2); #intensity at electric field at q2 due to q1(N/C)\n",
"F=x*q1*q2/(r**2); #force of attraction(N)\n",
"\n",
"#Result\n",
"print \"intensity at electric field at q1 due to q2 is\",round(E1*10**-5,2),\"*10**5 N/C\"\n",
"print \"intensity at electric field at q1 due to q2 is\",round(E2*10**-5,2),\"*10**5 N/C\"\n",
"print \"force of attraction is\",round(F,4),\"N\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"intensity at electric field at q1 due to q2 is 0.53 *10**5 N/C\n",
"intensity at electric field at q1 due to q2 is 1.25 *10**5 N/C\n",
"force of attraction is 0.0106 N\n"
]
}
],
"prompt_number": 16
}
],
"metadata": {}
}
]
}
|
