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diff --git a/Physics_for_BSc(Paper-3)/Chapter7.ipynb b/Physics_for_BSc(Paper-3)/Chapter7.ipynb new file mode 100755 index 00000000..cfd1e199 --- /dev/null +++ b/Physics_for_BSc(Paper-3)/Chapter7.ipynb @@ -0,0 +1,413 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:df8ccdc39cf4228aa502def88be8b0eaa1a1170d675814e78e23ede418957e6f"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "7: Electromagnetic Induction"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.1, Page number 204"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "R=125; #resistance(ohm)\n",
+ "V=3*10**-4; #potential difference(V)\n",
+ "T=10; #time period(sec)\n",
+ "theta1=16*10**-2; #deflection(m)\n",
+ "theta=5*10**-2; #deflection(m)\n",
+ "\n",
+ "#Calculation\n",
+ "i=V/R; #current(A)\n",
+ "q=T*i*theta/(2*math.pi*theta1); #charge(C)\n",
+ "\n",
+ "#Result\n",
+ "print \"charge is\",round(q*10**6,3),\"*10**-6 C\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "charge is 1.194 *10**-6 C\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.2, Page number 205"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "T=8; #time period(s)\n",
+ "i=2*10**-6; #current(A)\n",
+ "theta1=1;\n",
+ "theta=1;\n",
+ "\n",
+ "#Calculation\n",
+ "q=T*i*theta/(2*math.pi*theta1); #charge(C)\n",
+ "\n",
+ "#Result\n",
+ "print \"charge is\",round(q*10**6,3),\"*10**-6 C\"\n",
+ "print \"answer varies due to rounding off errors\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "charge is 2.546 *10**-6 C\n",
+ "answer varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.3, Page number 205"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l=1.8*10**-2; #length(m)\n",
+ "B=0.5; #magnitude of field(Wb/m**2)\n",
+ "N=200; #number of turns\n",
+ "t=0.8; #time period(sec)\n",
+ "R=12; #resistance(ohm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=l**2; #area of coil(m**2)\n",
+ "phiB=B*A; #magnetic flux in coil(Wb)\n",
+ "e=N*(phiB-0)/t; #induced emf(V)\n",
+ "i=e/R; #current(A)\n",
+ "\n",
+ "#Result\n",
+ "print \"induced emf is\",e,\"V\"\n",
+ "print \"current is\",i*10**4,\"*10**-4 A\"\n",
+ "print \"answers given in the book are wrong\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "induced emf is 0.0405 V\n",
+ "current is 33.75 *10**-4 A\n",
+ "answers given in the book are wrong\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.6, Page number 207"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "B=100*10**-4; #magnetic field(Wb/m**2)\n",
+ "d=20*10**-2; #diameter(m)\n",
+ "n=10; #number of rotations\n",
+ "\n",
+ "#Calculation\n",
+ "r=d/2; #radius(m)\n",
+ "dAbydt=math.pi*n*(r**2); #area(turns m**2/s)\n",
+ "e=B*dAbydt; #potential difference(V)\n",
+ "\n",
+ "#Result\n",
+ "print \"potential difference is\",round(e*10**3,3),\"mV\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "potential difference is 3.142 mV\n"
+ ]
+ }
+ ],
+ "prompt_number": 24
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.7, Page number 207"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l=1; #length(m)\n",
+ "B=0.2; #magnetic field(Wb/m**2)\n",
+ "v=0.8; #velocity(m/s)\n",
+ "theta1=60*math.pi/180; #angle(radian)\n",
+ "theta2=45*math.pi/180; #angle(radian)\n",
+ "theta3=30*math.pi/180; #angle(radian)\n",
+ "\n",
+ "#Calculation\n",
+ "e1=B*l*v*math.sin(theta1); #induced emf when B and v are perpendicular(V)\n",
+ "e2=B*l*v*math.sin(theta1)*math.sin(theta2); #induced emf with angle 45 degrees(V)\n",
+ "e3=B*l*v*math.sin(theta1)*math.sin(theta2)*math.sin(theta3); #induced emf with angle 30 degrees(V)\n",
+ "\n",
+ "#Result\n",
+ "print \"induced emf when B and v are perpendicular is\",round(e1,4),\"V\"\n",
+ "print \"induced emf with angle 45 degrees is\",round(e2,3),\"V\"\n",
+ "print \"induced emf with angle 30 degrees is\",round(e3,3),\"V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "induced emf when B and v are perpendicular is 0.1386 V\n",
+ "induced emf with angle 45 degrees is 0.098 V\n",
+ "induced emf with angle 30 degrees is 0.049 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 25
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.8, Page number 208"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "L=20; #inductance(H)\n",
+ "i=0.1; #current(A)\n",
+ "\n",
+ "#Calculation\n",
+ "Ub=(1/2)*L*(i**2); #energy stored in inductor(J)\n",
+ "\n",
+ "#Result\n",
+ "print \"energy stored in inductor is\",Ub,\"J\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "energy stored in inductor is 0.1 J\n"
+ ]
+ }
+ ],
+ "prompt_number": 26
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.9, Page number 209"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "e=12; #induced emf(V)\n",
+ "L=53*10**-3; #inductance(H)\n",
+ "R=0.35; #resistance(ohm)\n",
+ "\n",
+ "#Calculation\n",
+ "i=e/R; #current(A)\n",
+ "Ub=(1/2)*L*(i**2); #energy stored in inductor(J)\n",
+ "\n",
+ "#Result\n",
+ "print \"energy stored in inductor is\",round(Ub,1),\"J\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "energy stored in inductor is 31.2 J\n"
+ ]
+ }
+ ],
+ "prompt_number": 27
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.10, Page number 209"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "N=1250; #number of turns\n",
+ "a=5.2*10**-2; #length(m)\n",
+ "b=9.5*10**-2; #breadth(m)\n",
+ "h=1.3*10**-2; #height(m)\n",
+ "mew0=4*math.pi*10**-7; \n",
+ "\n",
+ "#Calculation\n",
+ "L=(mew0*(N**2)*h*math.log(b/a))/(2*math.pi); #inductance(H)\n",
+ "\n",
+ "#Result\n",
+ "print \"inductance is\",round(L*10**3,1),\"mH\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "inductance is 2.4 mH\n"
+ ]
+ }
+ ],
+ "prompt_number": 28
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 7.11, Page number 209"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "N1=500; #number of turns\n",
+ "A=3*10**-3; #area(m**2)\n",
+ "l=0.5; #length(m)\n",
+ "mew0=4*math.pi*10**-7; \n",
+ "N2=8; #number of turns\n",
+ "\n",
+ "#Calculation\n",
+ "M=mew0*N1*N2*A/l; #coefficient of mutual induction(H)\n",
+ "\n",
+ "#Result\n",
+ "print \"coefficient of mutual induction is\",round(M*10**6),\"micro H\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "coefficient of mutual induction is 30.0 micro H\n"
+ ]
+ }
+ ],
+ "prompt_number": 29
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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