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Diffstat (limited to 'Engineering_Physics_by_P._V._Naik/Chapter7.ipynb')
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diff --git a/Engineering_Physics_by_P._V._Naik/Chapter7.ipynb b/Engineering_Physics_by_P._V._Naik/Chapter7.ipynb new file mode 100755 index 00000000..36caeba7 --- /dev/null +++ b/Engineering_Physics_by_P._V._Naik/Chapter7.ipynb @@ -0,0 +1,582 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:604dfd31225e3c2fe12afc104ed18461bd1bcabd558389f5cc69df386ba9091d"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "7: Motion of a charged particle"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.1, Page number 132"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "e=1.6*10**-19; #charge of the electron(c)\n",
+ "V=18; #potential difference(kV)\n",
+ "m=9.1*10**-31; #mass of the electron(kg)\n",
+ "\n",
+ "#Calculation \n",
+ "K=e*V*10**3; #Kinetic energy(J)\n",
+ "v=math.sqrt((2*e*V*10**3)/m); #speed of electron(m/s)\n",
+ "\n",
+ "#Result\n",
+ "print \"The kinetic energy of electron is\",K*10**16,\"*10**-16 J\"\n",
+ "print \"Speed of the electron is\",round(v/10**7,3),\"*10**7 m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The kinetic energy of electron is 28.8 *10**-16 J\n",
+ "Speed of the electron is 7.956 *10**7 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.2, Page number 133"
+ ]
+ },
+ {
+ "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",
+ "vx=4*10**6; #velocity along x-axis(m/s)\n",
+ "E=1500; #electric field strength(N/C)\n",
+ "l=0.07; #length in y-axis(m)\n",
+ "q=1.6*10**-19; #charge of electron(c)\n",
+ "\n",
+ "#Calculation \n",
+ "y=(-q*E*(l**2))/(2*m*(vx**2))*10**2; #vertical displacement of electron(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The vertical displacement of electron when it leaves the electric field is\",round(y,3),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The vertical displacement of electron when it leaves the electric field is -4.038 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.3, Page number 133"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "u=5*10**5; #velocity(m/s)\n",
+ "m=1.67*10**-27; #mass of proton(kg)\n",
+ "q=1.6*10**-19;\n",
+ "E=500; #electric field(N/C)\n",
+ "theta=42; #angle(degrees)\n",
+ "\n",
+ "#Calculation \n",
+ "theta=theta*math.pi/180; #angle(radian)\n",
+ "t=((u*m*math.sin(theta))/(q*E))*10**6; #time required for the proton(micro s)\n",
+ "\n",
+ "#Result\n",
+ "print \"The time required for the proton is\",round(t,2),\"micro s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The time required for the proton is 6.98 micro s\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.4, Page number 133"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "m=1.67*10**-27; #mass of proton(kg)\n",
+ "q=1.6*10**-19;\n",
+ "B=0.36; #magnetic field(T)\n",
+ "R=0.2; #radius(m)\n",
+ "\n",
+ "#Calculation \n",
+ "v=(q*B*R)/m; #orbital speed of proton(m/s)\n",
+ "\n",
+ "#Result\n",
+ "print \"The orbital speed of proton is\",round(v/10**6,1),\"*10**6 m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The orbital speed of proton is 6.9 *10**6 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.5, Page number 133"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "v=2*10**6; #speed(m/s)\n",
+ "theta=30; #angle at which proton enters at the origin of coordinate system(degrees)\n",
+ "B=0.3; #magnetic field(T)\n",
+ "m=1.67*10**-27; #mass of proton(kg)\n",
+ "q=1.6*10**-19;\n",
+ "\n",
+ "#Calculation \n",
+ "theta=theta*math.pi/180; #angle(radian)\n",
+ "vp=v*math.sin(theta); #v(perpendicular component)\n",
+ "vpa=v*math.cos(theta); #v(parallel component)\n",
+ "p=(vpa*2*math.pi*m)/(q*B); #pitch of the helix described by the proton\n",
+ "R=((m*vp)/(q*B))*10**2; #radius of the trajectory\n",
+ "\n",
+ "#Result\n",
+ "print \"the pitch of the helix is\",round(p,2),\"m\"\n",
+ "print \"the radius of trajectory is\",round(R,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the pitch of the helix is 0.38 m\n",
+ "the radius of trajectory is 3.48 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.6, Page number 133"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=25; #deflecting voltage(V)\n",
+ "l=0.03; #length of deflecting planes(m)\n",
+ "d=0.75; #distance between 2 deflecting plates(cm)\n",
+ "Va=800; #final anode voltage(V)\n",
+ "D=0.2; #distance between the screen and the plates(m)\n",
+ "e=1.6*10**-19;\n",
+ "m=9.1*10**-31; #mass of electron(kg)\n",
+ "\n",
+ "#Calculation \n",
+ "y=(((V*l)/(2*d*Va))*(D+(l/2)))*10**4; #displacement produced(cm)\n",
+ "a=((V*l)/(2*d*Va))*10**2;\n",
+ "alpha=math.atan(a); #angle made by the beam with the axis(radian)\n",
+ "alpha1=alpha*180/math.pi; #angle(degrees)\n",
+ "v=((math.sqrt((2*e*Va)/m))/math.cos(alpha)); #velocity of electron(v)\n",
+ "\n",
+ "#Result\n",
+ "print \"the displacement produced is\",round(y,2),\"cm\"\n",
+ "print \"the angle made by the beam with the axis is\",round(alpha1,2),\"degrees\"\n",
+ "print \"velocity of electrons is\",round(v/10**7,2),\"*10**7 m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the displacement produced is 1.34 cm\n",
+ "the angle made by the beam with the axis is 3.58 degrees\n",
+ "velocity of electrons is 1.68 *10**7 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 18
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.7, Page number 134"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "e=1.6*10**-19;\n",
+ "B=5*10**-5; #magnetic field(Wb/m**2)\n",
+ "l=0.04; #length of magnetic field along the axis(m)\n",
+ "m=9.1*10**-31; #mass of electron(kg)\n",
+ "D=0.25; #distance of the screen from the field(m)\n",
+ "Va=600; #final anode voltage(V)\n",
+ "\n",
+ "#Calculation \n",
+ "y=(((e*B*l)/m)*math.sqrt(m/(2*e*Va))*(D+(l/2)))*10**2; #displacement of the electron(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"the displacement of the electron beam spot on the screen is\",round(y,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the displacement of the electron beam spot on the screen is 0.65 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.8, Page number 134"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "E=2.5*10**4; #electric field(V/m)\n",
+ "B=0.18; #magnetic field(T)\n",
+ "B1=0.22; #magnetic field in the main chamber(T)\n",
+ "m2=13; #mass number of carbon(kg)\n",
+ "m1=12; #mass number of carbon(kg)\n",
+ "e=1.6*10**-9;\n",
+ "q=1.67*10**-27;\n",
+ "\n",
+ "#Calculation \n",
+ "v=E/B; #velocity of particles(m/s)\n",
+ "s=((2*v*(m2-m1)*q)/(e*B1))*10**12; #seperation on photographic plate(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"the seperation on photographic plate is\",round(s,3),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the seperation on photographic plate is 1.318 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.9, Page number 134"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "v=5.6*10**6; #speed of the electron(m/s)\n",
+ "m=9.1*10**-31; #mass of electron(kg)\n",
+ "e=1.6*10**-19;\n",
+ "s=0.03; #distance travelled(m)\n",
+ "\n",
+ "#Calculation \n",
+ "E=(m*(v)**2)/(2*e*s); #intensity of electric field(N/C)\n",
+ "\n",
+ "#Result\n",
+ "print \"The intensity of electric field is\",round(E),\"N/C\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The intensity of electric field is 2973.0 N/C\n"
+ ]
+ }
+ ],
+ "prompt_number": 24
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.10, Page number 134"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "v=5*10**7;\n",
+ "B=0.4; #magnetic field(T)\n",
+ "r=0.711*10**-3; #radius of the circle(m)\n",
+ "\n",
+ "#Calculation \n",
+ "Q=v/(B*r); #charge to mass ratio(C/kg)\n",
+ "\n",
+ "#Result\n",
+ "print \"The charge to mass ratio is\",round(Q/10**10,2),\"*10**10 C/kg\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The charge to mass ratio is 17.58 *10**10 C/kg\n"
+ ]
+ }
+ ],
+ "prompt_number": 27
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.11, Page number 135"
+ ]
+ },
+ {
+ "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",
+ "v=3*10**7; #speed of electron(m/s)\n",
+ "R=0.05; #radius of the circle(m)\n",
+ "q=1.6*10**-31;\n",
+ "\n",
+ "#Calculation \n",
+ "B=((m*v)/(q*R))*10**-9; #magnetic field(mT)\n",
+ "\n",
+ "#Result\n",
+ "print \"The magnetic field to bend a beam is\",round(B,1),\"mT\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The magnetic field to bend a beam is 3.4 mT\n"
+ ]
+ }
+ ],
+ "prompt_number": 29
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.12, Page number 135"
+ ]
+ },
+ {
+ "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",
+ "q=1.6*10**-19;\n",
+ "t=8*10**-9; #time(ns)\n",
+ "\n",
+ "#Calculation \n",
+ "B=(2*math.pi*m*500)/(q*t); #magnetic field(T)\n",
+ "\n",
+ "#Result\n",
+ "print \"The magnetic field is\",round(B,2),\"T\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The magnetic field is 2.23 T\n"
+ ]
+ }
+ ],
+ "prompt_number": 31
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.13, Page number 135"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "v=9.15*10**7; #cyclotron frequency of proton(Hz)\n",
+ "m=1.67*10**-27; #mass of proton(kg)\n",
+ "q=1.6*10**-19;\n",
+ "\n",
+ "#Calculation \n",
+ "B=(2*math.pi*v*m)/q; #magnetic field(T)\n",
+ "\n",
+ "#Result\n",
+ "print \"The magnetic field is\",int(B),\"T\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The magnetic field is 6 T\n"
+ ]
+ }
+ ],
+ "prompt_number": 33
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |