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{
"metadata": {
"name": "",
"signature": "sha256:70cab6f9b725623fc2451b245c5190bb3397c02f8debec03cc8b79cdd3e4b714"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"1: Electric and Magnetic Fields"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.1, Page number 4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#import modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"q1=3.2*10**-19;\n",
"q2=q1; #q1 and q2 are the values of charge on alpha-particle(C)\n",
"d=10**-13; #distance between two alpha-particles(m)\n",
"m1=6.68*10**-27;\n",
"m2=m1; #m1 and m2 are masses of alpha-particles(kg)\n",
"G=6.67*10**-11; #Gravitational constant(Nm^2/kg^2)\n",
"\n",
"#Calculation\n",
"F1=(9*10**9)*(q1*q2)/(d**2); #calculation of electrostatic force(N)\n",
"F2=G*(m1*m2)/(d**2); #calculation of electrostatic force(N)\n",
"F1=math.ceil(F1*10**4)/10**4; #rounding off to 4 decimals\n",
"F1 = F1*10**2;\n",
"\n",
"#Result\n",
"print \"The electrosatic force is\",F1,\"*10**-2 N\"\n",
"print \"The gravitational force is\",round(F2/1e-37,3),\"*10**-37 N\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The electrosatic force is 9.22 *10**-2 N\n",
"The gravitational force is 2.976 *10**-37 N\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.2, Page number 4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#import modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"m=9.1*10**-31; #mass of elctron(kg)\n",
"q=1.6*10**-19; #charge on electron(C)\n",
"g=9.81; #acceleration due to gravity(m/s^2)\n",
"\n",
"#Calculation\n",
"Fg=m*g; #gravitational force(N)\n",
"d=math.sqrt((9*10**9*q**2)/Fg); #equating gravitational force with electrosatic force(m)\n",
"d=math.ceil(d*10**3)/10**3; #rounding off to 4 decimals\n",
"\n",
"#Result\n",
"print \"The distance of separation is\",d,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The distance of separation is 5.081 m\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.3, Page number 4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#import modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"d=0.02; #distance between plates(m)\n",
"V=400; #potential differnce of plates(V)\n",
"q=1.6*10**-19; #charge on a proton(C)\n",
"\n",
"#Calculation\n",
"E=V/d; #electric field intensity between plates(V/m)\n",
"F=q*E; #electrostatic force on oil drop(N)\n",
"\n",
"#Result\n",
"print \"The electric field intensity between plates is\",E,\"V/m\"\n",
"print \"The force on proton is\",F,\"N\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The electric field intensity between plates is 20000.0 V/m\n",
"The force on proton is 3.2e-15 N\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.4, Page number 4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#import modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"d=0.02; #distance between plates(m)\n",
"q=1.6*10**-19; #charge on oil drop(C)\n",
"V=6000; #potential differnce of plates(V)\n",
"g=9.81; #acceleration due to gravity(m/s^2)\n",
"\n",
"#Calculation\n",
"E=V/d; #electric field intensity between plates(V/m)\n",
"F=q*E; #electrostatic force on oil drop(N)\n",
"m=F/g; #equating the weight of oil drop to the electrostatic force on it(kg)\n",
"\n",
"#Result\n",
"print \"The mass of oil drop is\",round(m/1e-15,3),\"*10**-15 kg\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The mass of oil drop is 4.893 *10**-15 kg\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.5, Page number 5"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#import modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"V=150; #potential difference between anode and cathode(V)\n",
"m=9.31*10**-31; #mass of an electron(kg)\n",
"q=1.6*10**-19; #charge on an electron(C)\n",
"\n",
"#Calculation\n",
"E=q*V; #energy gained by electron during speeding from cathode to anode(J)\n",
"vel=math.sqrt(E*2/m); #equating with kinetic energy of electron(m/s)\n",
"vel=vel*10**-6;\n",
"vel=math.ceil(vel*10)/10; #rounding off to 1 decimal\n",
"\n",
"#Result\n",
"print \"The velocity is\",vel,\"*10**6 m/s\"\n",
"print \"answer in the book is wrong by 1 decimal\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The velocity is 7.2 *10**6 m/s\n",
"answer in the book is wrong by 1 decimal\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.6, Page number 5"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#import modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"V=5*10**6; #potential differnce through which alpha-particle is accelerated(V)\n",
"e=1.6*10**-19; #charge on electron(C)\n",
"\n",
"#Calculation\n",
"E1=2*V; #electronic charge on alpha-particle(eV)\n",
"E2=E1/10**6; #energy(MeV)\n",
"E3=E1*e; #energy(J)\n",
"E1=E1*10**-7; \n",
"\n",
"#Result\n",
"print \"The energy is\",E1,\"*10**7 eV\"\n",
"print \"The energy is\",E2,\"MeV\"\n",
"print \"The energy is\",E3,\"J\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The energy is 1.0 *10**7 eV\n",
"The energy is 10.0 MeV\n",
"The energy is 1.6e-12 J\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.7, Page number 6"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#import modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"r=0.528*10**-10; #radius of the orbit(m)\n",
"q=-1.6*10**-19; #charge on electron(C)\n",
"Q=1.6*10**-19; #charge on Hydrogen nucleus(C)\n",
"Eo=8.854*10**-12; #permittivity in free space(F/m)\n",
"\n",
"#Calculation\n",
"E=(q*Q)/(8*3.14*Eo*r); #electric field intensity between plates(V/m)\n",
"E1=E/(1.6*10**-19); #electrifeild intensity(eV)\n",
"E=E*10**19;\n",
"E=math.ceil(E*10**2)/10**2; #rounding off to 2 decimals\n",
"E1=math.ceil(E1*10**2)/10**2; #rounding off to 2 decimals\n",
"\n",
"#Result\n",
"print \"The total energy is\",E,\"*10**-19 J\"\n",
"print \"The total energy is\",E1,\"eV\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The total energy is -21.79 *10**-19 J\n",
"The total energy is -13.62 eV\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 1.8, Page number 9"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#import modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"Q=3.2*10**-19; #charge on alpha-particle(C)\n",
"m=6.68*10**-27; #mass on alpha-particle(kg)\n",
"B=1.5; #transverse magnetic field of flux density(Wb/m^2)\n",
"v=5*10**6; #velocity of alpha-particle(m/s)\n",
"\n",
"#Calculation\n",
"F=B*Q*v; #electrostatic force on oil drop(N)\n",
"R=m*v/(Q*B); #radius(m)\n",
"R=math.ceil(R*10**2)/10**2; #rounding off to 2 decimals\n",
"R1 = R*100; #radius(cm)\n",
"\n",
"#Result\n",
"print \"The force on particle is\",F,\"N\"\n",
"print \"The radius of its circular path\",R,\"m or\",R1,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The force on particle is 2.4e-12 N\n",
"The radius of its circular path 0.07 m or 7.0 cm\n"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
|
