{
"metadata": {
"name": "",
"signature": "sha256:516acdbb9c17332f6e1ea973b0354e9af84e691b9ea2bf4ff9f153c48f9c31a8"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 11 Magnetic Effects Of Current And Magnetism "
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.1 Page no 350"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given \n",
"i=90 #A\n",
"a=1.5 #m\n",
"b=2\n",
"l=10**7\n",
"\n",
"#Calculation\n",
"u=l*((b*i)/a)\n",
"\n",
"#Result\n",
"print\"Magnitude of the magnetic field is\",u*10**-9,\"10**-5\",\"T\"\n",
"print\"Direction of the magnetic field is south\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Magnitude of the magnetic field is 1.2 10**-5 T\n",
"Direction of the magnetic field is south\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.2 Page no 350"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"I=3 #A\n",
"a=0.15 #m\n",
"e=10**-7\n",
"b=2\n",
"\n",
"#Calculation\n",
"Z=(e*b*I)/a\n",
"\n",
"#Result\n",
"print\"The magnitude of the magnetic field is\",Z*10**6,\"10**-6\",\"T\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The magnitude of the magnetic field is 4.0 10**-6 T\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.4 Page no 351"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"l=10 #A\n",
"a=0.05 #cm\n",
"b=10**-7\n",
"a1=45 #degree\n",
"\n",
"#Calculation\n",
"import math\n",
"B=b*(l/a)*(math.sin(a1*3.14/180.0)+math.sin(a1*3.14/180.0))\n",
"B1=4*B\n",
"\n",
"#Result\n",
"print\"Magnetic field induction is\",round(B1*10**4,2),\"*10**-4 T\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Magnetic field induction is 1.13 *10**-4 T\n"
]
}
],
"prompt_number": 38
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.5 Page no 351"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"n=10\n",
"a=0.08 #m\n",
"l=2 #A\n",
"v=10**-7\n",
"\n",
"#Calculation\n",
"import math\n",
"B=(v*l*math.pi*n*l)/a\n",
"\n",
"#Result\n",
"print\"Magnitude of the magnetic field is\", round(B*10**4,2),\"*10**-4 T\"\n",
"print\"Direction of the field is vertically downward.\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Magnitude of the magnetic field is 1.57 *10**-4 T\n",
"Direction of the field is vertically downward.\n"
]
}
],
"prompt_number": 44
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.6 Page no 351"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"v=2.2*10**6 #m/s\n",
"a=0.5*10**-10 #m\n",
"e=1.6*10**-19\n",
"m=10**-7 #N/a**2\n",
"\n",
"#Calculation\n",
"import math\n",
"I=e*v/(2*math.pi*a)\n",
"B=m*2*math.pi*I/a\n",
"\n",
"#Result\n",
"print\"Magnetic field produced at the centre is\", B,\"T\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Magnetic field produced at the centre is 14.08 T\n"
]
}
],
"prompt_number": 49
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.8 Page no 352"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"I=10 #A\n",
"a=0.03 #m\n",
"a1=360 #degree\n",
"a2=90\n",
"a3=10**-7\n",
"\n",
"#Calculation\n",
"import math\n",
"A=a1-a2\n",
"B=a3*I*3*math.pi/(a*2.0)\n",
"\n",
"#Result\n",
"print\"Magnitude of magnetic field is\", round(B*10**4,2),\"*10**-4 T\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Magnitude of magnetic field is 1.57 *10**-4 T\n"
]
}
],
"prompt_number": 55
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.10 Page no 352"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"n=500\n",
"I=7 #A\n",
"a=0.05 #m\n",
"x=0.12 #m\n",
"m=10**-7\n",
"\n",
"#Calculation\n",
"import math\n",
"B=(2*math.pi*n*I*a**2)/(a**2+x**2)**1.5\n",
"B1=m*2*math.pi*n*I/a\n",
"\n",
"#Result\n",
"print\"(a) Magnetic field at the point on the axis is\", round(B*10**-4,1),\"*10**-3 tesla\"\n",
"print\"(b)Magnetic field at the centre of the coil is\",round(B1*10**2,2),\"*10**-2 tesla\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(a) Magnetic field at the point on the axis is 2.5 *10**-3 tesla\n",
"(b)Magnetic field at the centre of the coil is 4.4 *10**-2 tesla\n"
]
}
],
"prompt_number": 69
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.13 Page no 353"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"B=2.52*10**-3 #T\n",
"l=0.5 #m\n",
"N=500\n",
"\n",
"#Calculation\n",
"import math\n",
"n=N/l\n",
"I=B/(4*math.pi*10**-7*n)\n",
"\n",
"#Result\n",
"print\"Current in the solenoid is\", round(I,0),\"A\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Current in the solenoid is 2.0 A\n"
]
}
],
"prompt_number": 75
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.14 Page no 353"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"I=5 #A\n",
"l=2.0 #m\n",
"n=1000\n",
"n1=5\n",
"\n",
"#Calculation\n",
"N=n*n1\n",
"n2=N/l\n",
"B=4*math.pi*10**-7*n2*I\n",
"\n",
"#Result\n",
"print\"Magnetic field at the center is\", round(B*10**2,2),\"*10**-2 T\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Magnetic field at the center is 1.57 *10**-2 T\n"
]
}
],
"prompt_number": 80
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.15 Page no 353"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"a=16.0*10**-2 #m\n",
"n=20\n",
"I=16 #A\n",
"b=10**-7\n",
"a1=10.0*10**-2\n",
"n1=25\n",
"I1=18\n",
"\n",
"#Calculation\n",
"import math\n",
"B=b*2*math.pi*n*I/a\n",
"B1=b*2*math.pi*n1*I1/a1\n",
"B2=B1-B\n",
"\n",
"#Result\n",
"print\"Magnitude of the magnetic field is\", round(B1*10**4,2),\"*10**-4 T\"\n",
"print\"Direction is towards west\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Magnitude of the magnetic field is 28.27 *10**-4 T\n",
"Direction is towards west\n"
]
}
],
"prompt_number": 88
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11.18 Page no 355"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"l=11 #A\n",
"s=3500\n",
"r1=25 #cm\n",
"r2=26\n",
"\n",
"#Calculation\n",
"import math\n",
"w=((r1+r2)/2.0)\n",
"l1=2*math.pi*w\n",
"n=s/l1\n",
"B=4*math.pi*10**-7*n*l\n",
"\n",
"#Result\n",
"print\"(a) Magnetic field outside the toroid is zero\"\n",
"print\"(b) Magnetic field inside the core is\",round(B*10**4,2),\"*10**-2 T\"\n",
"print\"(c) Magnetic field in the empty space is zero\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(a) Magnetic field outside the toroid is zero\n",
"(b) Magnetic field inside the core is 3.02 *10**-2 T\n",
"(c) Magnetic field in the empty space is zero\n"
]
}
],
"prompt_number": 105
}
],
"metadata": {}
}
]
}