{
"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": {}
}
]
}