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Diffstat (limited to 'modern_physics_by_Satish_K._Gupta/chap14.ipynb')
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diff --git a/modern_physics_by_Satish_K._Gupta/chap14.ipynb b/modern_physics_by_Satish_K._Gupta/chap14.ipynb new file mode 100644 index 00000000..9106ddd9 --- /dev/null +++ b/modern_physics_by_Satish_K._Gupta/chap14.ipynb @@ -0,0 +1,635 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:04d8806c560b3bd07d87813351e39839b8f2c2b391de8dcf1afa3dc83f2be11d"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 14 Earths magnetism"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.3 Page no 433"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=60 #Degree\n",
+ "Bh=0.16 #G\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "B=Bh/cos(a*3.14/180.0)\n",
+ "\n",
+ "#Result\n",
+ "print\"Magnitude of earth's field is\", round(B,2),\"G\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Magnitude of earth's field is 0.32 G\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.4 Page no 434"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=60\n",
+ "a2=45\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "a1=math.tan(a2*3.14/180.0)/math.cos(a*3.14/180.0)\n",
+ "a3=math.atan(a1)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"Apparent value of the dip is\", round(a3,1),\"degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Apparent value of the dip is 63.4 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.6 Page no 434"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "l=30 #cm\n",
+ "l=0.15 #m\n",
+ "r=0.30 #m\n",
+ "Bh=0.34*10**-4 #T\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "M=Bh*(r**2-l**2)**2/(2*u*r)\n",
+ "m=M/(2*l)\n",
+ "\n",
+ "#Result\n",
+ "print\"Pole strength of the magnet is\",m,\"Am\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Pole strength of the magnet is 8.60625 Am\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.7 Page no 434"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "M=0.4 #Am**2\n",
+ "r=0.1 #m\n",
+ "l=0.05 #m\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "Bh=u*M/((r**2+l**2)**1.5)\n",
+ "\n",
+ "#Result\n",
+ "print\"Horizontal component of earth's magnetic field is\", round(Bh*10**4,3)*10**-4,\"T\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Horizontal component of earth's magnetic field is 2.86e-05 T\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.8 Page no 435"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "B=0.33\n",
+ "a=0\n",
+ "u=10**-7\n",
+ "I=2.5 #A\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Bh=B/math.cos(a*3.14/180.0)\n",
+ "a=u*2*I/(Bh*10**-4)\n",
+ "\n",
+ "#Result\n",
+ "print\"Neutral point is\", round(a*10**2,1),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Neutral point is 1.5 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 28
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.9 Page no 435"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Bh=0.32 #G\n",
+ "B=0.48 \n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "a=B/Bh\n",
+ "a1=math.atan(a)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"New stable equilibrium is\", round(a1,1),\"degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "New stable equilibrium is 56.3 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 32
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.10 Page no 435"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=22\n",
+ "a=0.1 #m\n",
+ "Bh=0.3*10**-4 #T\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "K=2*a*Bh/(n*4*math.pi*u)\n",
+ "\n",
+ "#Result\n",
+ "print\"Reduction factor is\", round(K,3),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Reduction factor is 0.217 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 36
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.11 Page no 435"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=40\n",
+ "a=0.12\n",
+ "I=0.15\n",
+ "a1=45 #degree\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Bh=(n*u*4*math.pi*I)/(2.0*a*math.tan(a1*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"Strength of horizontal component is\", round(Bh*10**4,3),\"*10**-4 T\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Strength of horizontal component is 0.314 *10**-4 T\n"
+ ]
+ }
+ ],
+ "prompt_number": 51
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.12 Page no 435"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a1=30\n",
+ "a2=45 #degree\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "n=2*math.tan(a1*3.14/180.0)/(math.tan(a2*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"Ratio of number of turns is\", round(n,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Ratio of number of turns is 1.155\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.13 Page no 436"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=16\n",
+ "a=0.1 #m\n",
+ "i=0.75 #A\n",
+ "Bh=5*10**-2 #T\n",
+ "v=2 #/s\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "M=n*i*math.pi*a**2\n",
+ "I=M*Bh/(4*math.pi**2*v**2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Moment of inertia is\",round(I*10**4,3),\"*10**-4 Kg m**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Moment of inertia is 1.194 *10**-4 Kg m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.14 Page no 436"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "T1=2.5\n",
+ "T2=4.5\n",
+ "M2=1.5\n",
+ "\n",
+ "#Calculation\n",
+ "M=T2**2/(M2*T1**2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Ratio of magnetic moment is\",M"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Ratio of magnetic moment is 2.16\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.15 Page no 436"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "T1=3.0\n",
+ "T2=4.0\n",
+ "\n",
+ "#Calculation\n",
+ "M=(T2**2+T1**2)/(T2**2-T1**2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Ratio of magnetic moments is\",round(M,2)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Ratio of magnetic moments is 3.57\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.16 Page no 436"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a1=35 #Degree\n",
+ "B=0.39\n",
+ "I=1 #A\n",
+ "a=4.0*10**-2\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Bh=B*math.cos(a1*3.14/180.0)\n",
+ "Bv=B*math.sin(a1*3.14/180.0)\n",
+ "B1=(u*2*I*4/a)*10**4\n",
+ "Rh=Bh-B1\n",
+ "R=math.sqrt(Rh**2+Bv**2)\n",
+ "Rh1=Bh+B1\n",
+ "R3=math.sqrt(Rh1**2+Bv**2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Resultant magnetic field is\", round(R3,3),\"G\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resultant magnetic field is 0.566 G\n"
+ ]
+ }
+ ],
+ "prompt_number": 39
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.17 Page no 436"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "M=5.25*10**-2 #J/T\n",
+ "Bh=0.42*10**-4 #T\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "r=(u*M/Bh)**0.333\n",
+ "r1=(u*2*M/Bh)**0.333\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Distance from the centre of the magnet on its normal bisector is\", round(r*10**2,1),\"cm\"\n",
+ "print\"(b) Distance from the centre of the magnet on its axis is\",round(r1*10**2,1),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Distance from the centre of the magnet on its normal bisector is 5.0 cm\n",
+ "(b) Distance from the centre of the magnet on its axis is 6.3 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 51
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.18 Page no 437"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "I=0.35 #A\n",
+ "n=30\n",
+ "a=12.0*10**-2\n",
+ "u=10**-7\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Bh=u*2*math.pi*n*I*0.707/a\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Horizontal component of the earth's magnetic field is\", round(Bh*10**4,2),\"G\"\n",
+ "print\"(b) The needle will reverse its original direction i.e. it will point east to west.\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Horizontal component of the earth's magnetic field is 0.39 G\n",
+ "(b) The needle will reverse its original direction i.e. it will point east to west.\n"
+ ]
+ }
+ ],
+ "prompt_number": 60
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.19 Page no 437"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "t1=9 #S\n",
+ "t2=4.5\n",
+ "Bh=0.34*10**-4 #T\n",
+ "u=10**-7\n",
+ "r=0.1 #m\n",
+ "\n",
+ "#Calculation\n",
+ "Baxial=Bh*((t1**2/t2**2)-1)\n",
+ "M2=Baxial*r**2/(2*u)\n",
+ "\n",
+ "#Result\n",
+ "print\"Magnetic moment is\", M2*10**-1,\"A m**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Magnetic moment is 0.51 A m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 66
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |