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{
"metadata": {
"name": "",
"signature": "sha256:59edd30f642482e981d4bbdb68206500dec6663b6b414fcdfbc2ce9fb1f1258c"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 15 Motion of a charged particle"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.1 Page no 254"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"E=5000 #Intensity of electric field in N/C\n",
"d=0.02 #Distance in m\n",
"e=(1.6*10**-19) #Charge of the electron in C\n",
"m=(9.1*10**-31) #Mass of the electron in kg\n",
"\n",
"#Calculations\n",
"import math\n",
"v=math.sqrt(2*e*E*d/m)/10**6\n",
"\n",
"#Output\n",
"print\"Speed of the electron is \",round(v,2),\"*10**6 m/s\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Speed of the electron is 5.93 *10**6 m/s\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.2 Page no 255"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"v=(5*10**6) #Velocity of the electron in m/s\n",
"E=2000 #Intensity of electric field in N/C\n",
"d=0.06 #Distance in m\n",
"e=(1.6*10**-19) #Charge of the electron in C\n",
"m=(9.1*10**-31) #Mass of the electron in kg\n",
"\n",
"\n",
"#Calculations\n",
"y=((-e*E*d**2)/(2*m*v**2))*100\n",
"\n",
"#Output\n",
"print\"Vertical displacement of the electron when it just leaves the electric field is \",round(y,2),\"cm\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Vertical displacement of the electron when it just leaves the electric field is -2.53 cm\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.3 Page no 255"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"v=(4*10**5) #Velocity of the positively charged particle in m/s\n",
"E=300 #Intensity of electric field in N/C\n",
"e=(1.6*10**-19) #Charge of the positively charged particle in C\n",
"m=(1.67*10**-27) #Mass of the positively charged particle in kg\n",
"q=35 #Angle made by the particle in degrees\n",
"\n",
"#Calculations\n",
"import math\n",
"t=((v*math.sin(q*3.14/180.0)*m)/(e*E))/10**-6\n",
"\n",
"#Output\n",
"print\"Time required by the particle to reach the maximum height in the electric field is \",round(t,2),\"micro s\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Time required by the particle to reach the maximum height in the electric field is 7.98 micro s\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.4 Page no 255"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"r=0.3 #Radius of circular orbit in m\n",
"B=0.38 #Magnetic field strength in T\n",
"e=(1.6*10**-19) #Charge of the proton in C\n",
"m=(1.672*10**-27) #Mass of the proton in kg\n",
"\n",
"#Calculations\n",
"v=((e*B*r)/m)/10**6\n",
"\n",
"#Output\n",
"print\"Orbital speed of the proton is \",round(v,0),\"*10**6 m/s\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Orbital speed of the proton is 11.0 *10**6 m/s\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 15.5 Page no 255"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"e=(1.6*10**-19) #Charge of the proton in C\n",
"m=(1.67*10**-27) #Mass of the proton in kg\n",
"B=0.8 #Magnetic field strength in T\n",
"v=(4*10**6,3*10**6) #Velocity of charged particle in vxi+vyj form in m/s\n",
"\n",
"#Calculations\n",
"p=(v[0]*2*3.14*m)/(e*B)\n",
"R=(m*v[1])/(e*B)\n",
"\n",
"#Output\n",
"print\"The pitch of the helix is \",round(p,3),\"m\" \n",
"print\"Radius of the trajectory is \",round(R,3),\"m\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The pitch of the helix is 0.328 m\n",
"Radius of the trajectory is 0.039 m\n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
