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authorkinitrupti2017-05-12 18:53:46 +0530
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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": {}
+ }
+ ]
+} \ No newline at end of file