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Diffstat (limited to 'modern_physics_by_Satish_K._Gupta/chap13.ipynb')
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diff --git a/modern_physics_by_Satish_K._Gupta/chap13.ipynb b/modern_physics_by_Satish_K._Gupta/chap13.ipynb new file mode 100644 index 00000000..13ac3401 --- /dev/null +++ b/modern_physics_by_Satish_K._Gupta/chap13.ipynb @@ -0,0 +1,547 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:a82b820d4c986803883c47a06b19e19453881487c8189443b60dab54c2680966"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 13 Magnetic dipole"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.1 Page no 415"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "F=14.4*10**-4 #N\n",
+ "r=0.05 #m\n",
+ "u=10.0**-7\n",
+ "F1=1.6*10**-4 #N\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "m=math.sqrt(F*r**2/u)\n",
+ "r1=math.sqrt(u*6*6/F1)\n",
+ "\n",
+ "#Result\n",
+ "print\"Distance between the poles is\", r1,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Distance between the poles is 0.15 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.2 Page no 415"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "F=0.8*10**-3\n",
+ "r=0.1 #m\n",
+ "g=9.8\n",
+ "u=10.0**-7\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "m=math.sqrt(F*g*r**2/(u*5.0))\n",
+ "a=5*m\n",
+ "\n",
+ "#Result\n",
+ "print\"Strength of each pole is\", round(a,1),\"A m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Strength of each pole is 62.6 A m\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.4 Page no 416"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=50 #Am\n",
+ "r=0.2 #m\n",
+ "l=0.05 #M\n",
+ "M=5 #Am**2\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "Baxial=u*2*M*r/((r**2-l**2)**2)\n",
+ "Bequi=u*M/((r**2+l**2)**1.5)\n",
+ "\n",
+ "#Result\n",
+ "print\"(i) Magnetic field at a distance of 0.2 m from its centre on axial line is\",round(Baxial*10**4,2),\"*10**-4 T\"\n",
+ "print\"(ii) Magnetic field at a distance of 0.2 m from its centre on its equitorial line is\",round(Bequi*10**5,3)*10**-5,\"T\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(i) Magnetic field at a distance of 0.2 m from its centre on axial line is 1.42 *10**-4 T\n",
+ "(ii) Magnetic field at a distance of 0.2 m from its centre on its equitorial line is 5.707e-05 T\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.5 Page no 416"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "M=12.5 #Am**2\n",
+ "OP=0.05 #m\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "b1=(u*2*M)/(OP**3)\n",
+ "b2=(u*M)/(OP**3)\n",
+ "B=math.sqrt(b1**2+b2**2)\n",
+ "a=b2/b1\n",
+ "a1=math.atan(a*180/3.14)\n",
+ "\n",
+ "#Result\n",
+ "print\"Magnetic field at a point midway between two magnets is\",round(B*10**2,3),\"10**-2 T\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Magnetic field at a point midway between two magnets is 2.236 10**-2 T\n"
+ ]
+ }
+ ],
+ "prompt_number": 34
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.6 Page no 416"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "B=0.3 #T\n",
+ "A=30 #Degree\n",
+ "t=0.06 #Nn\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "M=t/(B*math.sin(A*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"Magnetic moment is\",round(M,1),\"Am**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Magnetic moment is 0.4 Am**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 38
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.7 Page no 416"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=48 #Am\n",
+ "l=0.25 #m\n",
+ "a=30 #degree\n",
+ "B=0.15\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "M=m*l\n",
+ "T=M*B*math.sin(a*3.14/180.0)\n",
+ "\n",
+ "#Result \n",
+ "print\"(i) Magnetic moment is\",M,\"Am**2\"\n",
+ "print\"(ii) Torque is\",round(T,1),\"Mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(i) Magnetic moment is 12.0 Am**2\n",
+ "(ii) Torque is 0.9 Mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 45
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.8 Page no 416"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "B=0.2 #t\n",
+ "a=30\n",
+ "t=0.06\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "M=t/(B*math.sin(a*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Magnetic moment is\",round(M,1),\"An**2\"\n",
+ "print\"(b) When the magnet aligns itself parallel to the magnetic field\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Magnetic moment is 0.6 An**2\n",
+ "(b) When the magnet aligns itself parallel to the magnetic field\n"
+ ]
+ }
+ ],
+ "prompt_number": 50
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.9 Page no 416"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "M=1.5 #J/T\n",
+ "B=0.22 #T\n",
+ "a=0\n",
+ "a1=90\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "W=M*B*(math.cos(a*3.14/180.0)-math.cos(a1*3.14/180.0))\n",
+ "t=M*B*math.sin(a1*3.14/180.0)\n",
+ "\n",
+ "#Result\n",
+ "print\"Amount of work required is\", round(W,2),\"J\"\n",
+ "print\"Torque is\",round(t,2),\"Nm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Amount of work required is 0.33 J\n",
+ "Torque is 0.33 Nm\n"
+ ]
+ }
+ ],
+ "prompt_number": 57
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.10 Page no 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=50\n",
+ "a=0.2 \n",
+ "I=12 #A\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "B=u*2*math.pi*n*I/a\n",
+ "M=n*I*math.pi*a**2\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Magnetic moment at the centre is\",round(B*10**3,3),\"*10**-3 T\"\n",
+ "print\"(b) Magnetic moment associated is\",round(M,1),\"Am**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Magnetic moment at the centre is 1.885 *10**-3 T\n",
+ "(b) Magnetic moment associated is 75.4 Am**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 65
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.11 Page no 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "r=0.53*10**-10 #m\n",
+ "v=6.8*10**15 #Kz\n",
+ "e=1.6*10**-19 #C\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "M=math.pi*e*v*r**2\n",
+ "\n",
+ "#Result\n",
+ "print\"Magnetic moment is\",round(M*10**24,1)*10**-24,\"A m**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Magnetic moment is 9.6e-24 A m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 69
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.12 Page no 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "M=1.8*10**-23 #Am**2\n",
+ "v=5*10**-6 #m**3\n",
+ "a=7.8*10**3\n",
+ "N=6.02*10**26\n",
+ "A=56.0\n",
+ "B=1.5 #T\n",
+ "a1=90 #degree\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "m=v*a\n",
+ "n=N*m/A\n",
+ "M1=M*n\n",
+ "t=M1*B*math.sin(a1*3.14/180.0)\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Magnetic moment is\", round(M1,2),\"A m**2\"\n",
+ "print\"(b) Torque required is\",round(t,2),\"N m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Magnetic moment is 7.55 A m**2\n",
+ "(b) Torque required is 11.32 N m\n"
+ ]
+ }
+ ],
+ "prompt_number": 79
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.13 Page no 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "B1=1.2*10**-2 #T\n",
+ "a=15 #degree\n",
+ "a2=60\n",
+ "\n",
+ "#Calculation\n",
+ "a3=a2-a\n",
+ "B2=B1*math.sin(a*3.14/180.0)/(math.sin(a3*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print round(B2*10**3,2),\"*10**-3 T\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "4.39 *10**-3 T\n"
+ ]
+ }
+ ],
+ "prompt_number": 83
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 13.14 Page no 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=1000\n",
+ "I=2 #A\n",
+ "A=2*10**-4 #m**@\n",
+ "a=30\n",
+ "B=0.16\n",
+ "a1=0 #degree\n",
+ "a2=180 \n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "M=I*A*n\n",
+ "t=M*B*math.sin(a*3.14/180.0)\n",
+ "W=M*B*(math.cos(a1*3.14/180.0)-math.cos(a2*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Torque required is\", round(t,3),\"Nm\"\n",
+ "print\"(b) Work needed is\",round(W,3),\"J\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Torque required is 0.032 Nm\n",
+ "(b) Work needed is 0.128 J\n"
+ ]
+ }
+ ],
+ "prompt_number": 92
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |