From bdf084e95a05a5846fb9f27447964707560609ac Mon Sep 17 00:00:00 2001 From: Trupti Kini Date: Sun, 7 Aug 2016 23:30:22 +0600 Subject: Added(A)/Deleted(D) following books A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter1.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter10.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter11.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter12.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter2.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter3.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter4.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter5.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter6.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter7.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter8.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/Chapter9.ipynb A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/screenshots/chapter1.png A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/screenshots/chapter2.png A Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/screenshots/chapter3.png A Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/Chapter1.ipynb A Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/Chapter10.ipynb A Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/Chapter16.ipynb A Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/Chapter2.ipynb A Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/Chapter3.ipynb A Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/screenshots/chapter1.png A Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/screenshots/chapter2.png A Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/screenshots/chapter3.png A modern_physics_by_Satish_K._Gupta/chap10_1.ipynb A modern_physics_by_Satish_K._Gupta/chap11_1.ipynb A modern_physics_by_Satish_K._Gupta/chap12_1.ipynb A modern_physics_by_Satish_K._Gupta/chap13_1.ipynb A modern_physics_by_Satish_K._Gupta/chap14_1.ipynb A modern_physics_by_Satish_K._Gupta/chap15_1.ipynb A modern_physics_by_Satish_K._Gupta/chap16_1.ipynb A modern_physics_by_Satish_K._Gupta/chap17_1.ipynb A modern_physics_by_Satish_K._Gupta/chap18_1.ipynb A modern_physics_by_Satish_K._Gupta/chap19_1.ipynb A modern_physics_by_Satish_K._Gupta/chap1_1.ipynb A modern_physics_by_Satish_K._Gupta/chap20_1.ipynb A modern_physics_by_Satish_K._Gupta/chap21_1.ipynb A modern_physics_by_Satish_K._Gupta/chap22_1.ipynb A modern_physics_by_Satish_K._Gupta/chap23_1.ipynb A modern_physics_by_Satish_K._Gupta/chap25_1.ipynb A modern_physics_by_Satish_K._Gupta/chap26_1.ipynb A modern_physics_by_Satish_K._Gupta/chap27_1.ipynb A modern_physics_by_Satish_K._Gupta/chap28_1.ipynb A modern_physics_by_Satish_K._Gupta/chap2_1.ipynb A modern_physics_by_Satish_K._Gupta/chap30_1.ipynb A modern_physics_by_Satish_K._Gupta/chap31_1.ipynb A modern_physics_by_Satish_K._Gupta/chap32_1.ipynb A modern_physics_by_Satish_K._Gupta/chap33_1.ipynb A modern_physics_by_Satish_K._Gupta/chap34_1.ipynb A modern_physics_by_Satish_K._Gupta/chap35_1.ipynb A modern_physics_by_Satish_K._Gupta/chap36_1.ipynb A modern_physics_by_Satish_K._Gupta/chap37_1.ipynb A modern_physics_by_Satish_K._Gupta/chap3_1.ipynb A modern_physics_by_Satish_K._Gupta/chap4_1.ipynb A modern_physics_by_Satish_K._Gupta/chap5_1.ipynb A modern_physics_by_Satish_K._Gupta/chap6_1.ipynb A modern_physics_by_Satish_K._Gupta/chap7_1.ipynb A modern_physics_by_Satish_K._Gupta/chap8_1.ipynb A modern_physics_by_Satish_K._Gupta/chap9_1.ipynb A modern_physics_by_Satish_K._Gupta/chap_29_1.ipynb A modern_physics_by_Satish_K._Gupta/screenshots/image1_1.png A modern_physics_by_Satish_K._Gupta/screenshots/image22_1.png A modern_physics_by_Satish_K._Gupta/screenshots/image33_1.png A sample_notebooks/RuchiMittal/chpater3.ipynb --- modern_physics_by_Satish_K._Gupta/chap12_1.ipynb | 1435 ++++++++++++++++++++++ 1 file changed, 1435 insertions(+) create mode 100644 modern_physics_by_Satish_K._Gupta/chap12_1.ipynb (limited to 'modern_physics_by_Satish_K._Gupta/chap12_1.ipynb') diff --git a/modern_physics_by_Satish_K._Gupta/chap12_1.ipynb b/modern_physics_by_Satish_K._Gupta/chap12_1.ipynb new file mode 100644 index 00000000..30e711a0 --- /dev/null +++ b/modern_physics_by_Satish_K._Gupta/chap12_1.ipynb @@ -0,0 +1,1435 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:48ced6bcb2294321844f4027bedbd6f874bf0da0aa33534190457acb1015aba8" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 12 Motion of charged particle" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.1 Page no 379" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "m=1.6*10**-27 #Kg\n", + "e=1.6*10**-19\n", + "Ey=2*10**4 #V/m\n", + "x=0.1 #m\n", + "vx=5*10**6 #m/s\n", + "\n", + "#Calculation\n", + "t=x/vx\n", + "Fy=e*Ey\n", + "a=Fy/m\n", + "y=a*t**2/2.0\n", + "\n", + "#Result\n", + "print\"Transverse deflection is\", y*10**3,\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Transverse deflection is 0.4 mm\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.2 Page no 379" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "n=8*10**28 #/m**2\n", + "l=1 #m\n", + "A=8*10**-6 #m**2\n", + "B=5*10**-3 #T\n", + "F=8*10**-2 #N\n", + "e=1.6*10**-19 #C\n", + "\n", + "#Calculation\n", + "vd=F/(B*n*A*l*e)\n", + "\n", + "#Result\n", + "print\"Drift velocity is\", vd*10**4,\"*10**-4 m/s\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Drift velocity is 1.5625 *10**-4 m/s\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.3 Page no 379" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "q=1.6*10**-19 #C\n", + "v=10**7 #m/s\n", + "B=3 #T\n", + "\n", + "#Calculation\n", + "F=q*v*B\n", + "\n", + "#Result\n", + "print\"Instantaneous force is\", F,\"N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Instantaneous force is 4.8e-12 N\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.4 Page no 379" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "I=2 #A\n", + "a=0.1 #m\n", + "u=10**-7\n", + "q=1.6*10**-19\n", + "v=4*10**4 #m/s\n", + "\n", + "#Calculation\n", + "import math\n", + "B=(u*2*I)/a\n", + "F=B*q*v\n", + "\n", + "#Result\n", + "print\"Force of magnetic field is\", F,\"N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Force of magnetic field is 2.56e-20 N\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.6 Page no 380" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "v=10**5 #m/s\n", + "e=1.6*10**-19 #C\n", + "m=9.1*10**-31 #Kg\n", + "B=0.019*10**-4 #T\n", + "\n", + "#Calculation\n", + "r=m*v/(B*e)\n", + "\n", + "#Result\n", + "print\"Radius of the circular path is\", round(r,3),\"m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Radius of the circular path is 0.299 m\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.7 Page no 380" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "e=1.6*10**-19\n", + "m=9*10**-31 #Kg\n", + "T=10**-6 #S\n", + "\n", + "#Calculation\n", + "import math\n", + "B=2*math.pi*m/(e*T)\n", + "\n", + "#Result\n", + "print\"Magnetic field is\", round(B*10**5,3)*10**-5 ,\"T\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Magnetic field is 3.534e-05 T\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.9 Page no 381" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "m=1.67*10**-27 #Kg\n", + "e=1.60*10**-19\n", + "V=10**7 #Hz\n", + "R=0.6 #m\n", + "\n", + "#Calculation\n", + "import math\n", + "B=2*math.pi*m*V/e\n", + "Emax=(B**2*e**2*R**2/(2*m))/1.6*10**13\n", + "\n", + "#Result\n", + "print\"Kinetic energy of the proton is\",round(Emax,3),\"Mev\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Kinetic energy of the proton is 7.417 Mev\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.10 Page no 381" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "I=5 #A\n", + "l=0.1 #m\n", + "m=3*10**-3\n", + "g=9.8\n", + "a=0.5\n", + "\n", + "#Calculation\n", + "w=m*g*l\n", + "B=w/a\n", + "\n", + "#Result\n", + "print\"Magnitude of the magnetic field is\", B*10**3,\"*10**-3 tesla\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Magnitude of the magnetic field is 5.88 *10**-3 tesla\n" + ] + } + ], + "prompt_number": 29 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.11 Page no 381" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#given\n", + "I1=4 #A\n", + "I2=6\n", + "r=0.03 #m\n", + "u=10**-7\n", + "\n", + "#Calculation\n", + "F=u*2*I1*I2/r\n", + "\n", + "#Result\n", + "print\"Force per unit length is\", F*10**4,\"*10**-4 N/m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Force per unit length is 1.6 *10**-4 N/m\n" + ] + } + ], + "prompt_number": 33 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.12 Page no 381" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "I1=5 #A\n", + "I2=12\n", + "r=0.4 #m\n", + "u=10**-7\n", + "\n", + "#Calculation\n", + "F=u*2*I1*I2/r\n", + "F1=u*2*I1*I2/r\n", + "\n", + "#Result\n", + "print\"(i) Force when current flows in same direction is\", F,\"N/m\"\n", + "print\"(ii) Force when current flows in opposite direction is\",F1,\"N/m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(i) Force when current flows in same direction is 3e-05 N/m\n", + "(ii) Force when current flows in opposite direction is 3e-05 N/m\n" + ] + } + ], + "prompt_number": 38 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.13 Page no 381" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "I1=300 #A\n", + "r=1.5*10**-2 #m\n", + "u=10**-7\n", + "\n", + "#Calculation\n", + "F=u*2*I1*I1/r\n", + "\n", + "#Result\n", + "print\"Force per unit length is\",F,\"N/m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Force per unit length is 1.2 N/m\n" + ] + } + ], + "prompt_number": 40 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.14 Page no 381" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "I=10 #A\n", + "n=100\n", + "A=8*10**-2 #m**2\n", + "B=5 #T\n", + "\n", + "#Calculation\n", + "import math\n", + "t=n*B*I*A*math.cos(60*3.14/180.0)\n", + "\n", + "#Result\n", + "print\"Torque is\", round(t,0),\"Nm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Torque is 200.0 Nm\n" + ] + } + ], + "prompt_number": 44 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.15 Page no 381" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "n=30\n", + "I=6 #A\n", + "B=1 #T\n", + "r=8*10**-2 #m\n", + "\n", + "#Calculation\n", + "import math\n", + "A=math.pi*r**2\n", + "t=n*B*I*A*math.sin(60*3.14/180.0)\n", + "\n", + "#Result\n", + "print\"(a) Magnitude of the counter torque is\", round(t,3),\"Nm\"\n", + "print\"(b) Torque on the planar loop is independent of its shape, the torque will remain unchanged.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) Magnitude of the counter torque is 3.133 Nm\n", + "(b) Torque on the planar loop is independent of its shape, the torque will remain unchanged.\n" + ] + } + ], + "prompt_number": 50 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.16 Page no 382" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "B=100*10**-4 #T\n", + "I=10 #A\n", + "l=44\n", + "\n", + "#Calculation\n", + "import math\n", + "r=l/(2.0*math.pi)\n", + "A=math.pi*r**2\n", + "t=B*I*A\n", + "\n", + "#Result\n", + "print\"Maximum torque is\", round(t*10**-1,2),\"*10**-3 Nm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Maximum torque is 1.54 *10**-3 Nm\n" + ] + } + ], + "prompt_number": 62 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.17 Page no 382" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "n=20\n", + "r=10*10**-2 #m\n", + "B=0.10 #T\n", + "I=5 #A\n", + "n1=10**29 #/m**3\n", + "A1=10**-5 #m**2\n", + "\n", + "#Calculation\n", + "import math\n", + "A=math.pi*r**2\n", + "t=n*B*I*A*math.sin(0*3.14/180.0)\n", + "F=B*I/(n1*A1)\n", + "\n", + "#Result\n", + "print\"(a) Total torque on the coil is\", t\n", + "print\"(b) Net force on a planar loop in a magnetic field is always zero\"\n", + "print\"(c) Average force is\",F,\"N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) Total torque on the coil is 0.0\n", + "(b) Net force on a planar loop in a magnetic field is always zero\n", + "(c) Average force is 5e-25 N\n" + ] + } + ], + "prompt_number": 68 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.18 Page no 382" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "A=5*10**-4 #m**2\n", + "n=60\n", + "a=18 #degree\n", + "B=90*10**-4 #T\n", + "I=0.20*10**-3 #A\n", + "\n", + "#calculation\n", + "k=n*B*I*A/a\n", + "\n", + "#Result\n", + "print\"Torsional constant is\",k,\"N m per degree\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Torsional constant is 3e-09 N m per degree\n" + ] + } + ], + "prompt_number": 70 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.21 Page no 383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "G=15 #ohm\n", + "Ig=2*10**-3 #A\n", + "I=5 #A\n", + "\n", + "#Calculation\n", + "S=Ig*G/(I-Ig)\n", + "\n", + "#Result\n", + "print\"Shunt resistance is\",round(S,3),\"Ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Shunt resistance is 0.006 Ohm\n" + ] + } + ], + "prompt_number": 74 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.22 Page no 383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "V=50*10**-3 #V\n", + "G=100.0 #ohm\n", + "\n", + "#Calculation\n", + "Ig=V/G\n", + "S=Ig*G/(I-Ig)\n", + "\n", + "#Result\n", + "print\"Shunt resistance is\", round(S,2),\"ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Shunt resistance is 0.01 ohm\n" + ] + } + ], + "prompt_number": 79 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.23 Page no 383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "G=100 #ohm\n", + "Ig=5*10**-3 #A\n", + "I=5 #A\n", + "\n", + "#Calculation\n", + "S=Ig*G/(I-Ig)\n", + "\n", + "#Result\n", + "print\"Shunt resistance is\",S" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Shunt resistance is 0.1001001001\n" + ] + } + ], + "prompt_number": 80 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.24 Page no 383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "G=5 #ohm\n", + "Ig=15.0*10**-3 #A\n", + "I=1.5\n", + "V=1.5 #V\n", + "\n", + "#Calculation\n", + "S=Ig*G/(I-Ig)\n", + "R=(V/Ig)-G\n", + "\n", + "#Result\n", + "print\"(a) To enable galvanometer to read 1.5 A is\", round(S,2),\"ohm\"\n", + "print\"(b) To enable galvanometer to read 1.5 V is\",R,\"ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) To enable galvanometer to read 1.5 A is 0.05 ohm\n", + "(b) To enable galvanometer to read 1.5 V is 95.0 ohm\n" + ] + } + ], + "prompt_number": 88 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.25 Page no 383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "G=10 #ohm\n", + "Ig=25.0*10**-3 #A\n", + "V=120 #V\n", + "I=20 #A\n", + "\n", + "#Calculation\n", + "R=(V/Ig)-G\n", + "S=Ig*G/(I-Ig)\n", + "\n", + "#Result\n", + "print\"(a) To convert the galvanometer into the voltmeter reading is\" ,R,\"ohm\"\n", + "print\"(b) To convert the galvanometer into the ammeter reading is\",round(S,4),\"ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) To convert the galvanometer into the voltmeter reading is 4790.0 ohm\n", + "(b) To convert the galvanometer into the ammeter reading is 0.0125 ohm\n" + ] + } + ], + "prompt_number": 95 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.26 Page no 383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=3 #v\n", + "R=55 #ohm\n", + "Ra=1\n", + "I=50*10**-3 #A\n", + "\n", + "#Calculation\n", + "r=(E/I)-(R+Ra)\n", + "\n", + "#Result\n", + "print\"Value of r is\", r,\"ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of r is 4.0 ohm\n" + ] + } + ], + "prompt_number": 98 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.27 Page no 384" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=60 #V\n", + "R1=400 #ohm\n", + "R2=300\n", + "V1=30.0\n", + "a=120000\n", + "\n", + "#Calculation\n", + "Rv=(-V1*a)/(V1*(R1+R2)-E*R1)\n", + "R=Rv*R2/(Rv+R2)\n", + "I1=E/(R+R1)\n", + "V=I1*R\n", + "\n", + "#Result\n", + "print\"Voltmeter reads\", V,\"V\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Voltmeter reads 22.5 V\n" + ] + } + ], + "prompt_number": 108 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.28 Page no 384" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "Rv=400.0\n", + "E=84 #V\n", + "r=100.0\n", + "r1=200\n", + "\n", + "#Calculation\n", + "R=1/(1/Rv+1/100.0)\n", + "R1=R+200\n", + "I=E/R1\n", + "I1=I/5.0\n", + "V=I1*Rv\n", + "R2=r+r1\n", + "I2=E/R2\n", + "V2=I2*r\n", + "\n", + "#Result\n", + "print\"(a) Reading on voltmeter is\", V,\"V\"\n", + "print\"(b) Potential difference is\",V2,\"V\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) Reading on voltmeter is 24.0 V\n", + "(b) Potential difference is 28.0 V\n" + ] + } + ], + "prompt_number": 122 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.29 Page no 385" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=120 #v\n", + "Rv=10**4 #ohm\n", + "a=4.0\n", + "\n", + "#Calculation\n", + "x=(Rv*(E-a))/a\n", + "\n", + "#Result\n", + "print\"Large resistance is\", x*10**-3,\"K ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Large resistance is 290.0 K ohm\n" + ] + } + ], + "prompt_number": 131 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.30 Page no 385" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "B=0.75 #T\n", + "E=9*10**5 #V/m\n", + "V=15*10**3\n", + "\n", + "#Calculation\n", + "v=E/B\n", + "a=v**2/(2.0*V)\n", + "\n", + "#Result\n", + "print\"The value of e/m is\", a*10**-7,\"*10**7 C/Kg\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The value of e/m is 4.8 *10**7 C/Kg\n" + ] + } + ], + "prompt_number": 127 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.31 Page no 385" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "m=9.11*10**-31 #Kg\n", + "e=1.60*10**-19 #C\n", + "B=0.40*10**-4 #T\n", + "a=18*1.6*10**-16\n", + "PQ=0.30\n", + "a2=1.52 #degree\n", + "\n", + "#calculation\n", + "import math\n", + "r=math.sqrt(2*m*a)/(B*e)\n", + "a1=(PQ/r)\n", + "PA=r*(1-math.cos(a2*3.14/180.0))\n", + "\n", + "#Result\n", + "print\"up and down deflection of the beam is\", round(PA*10**3,0),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "up and down deflection of the beam is 4.0 mm\n" + ] + } + ], + "prompt_number": 153 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.32 Page no 386" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "m=60*10**-3\n", + "g=9.8\n", + "I=5\n", + "l=0.45\n", + "\n", + "#Calculation\n", + "B=m*g/(I*l)\n", + "T=2*m*g\n", + "\n", + "#Result\n", + "print\"(i) Magnetic field is\", round(B,3),\"T\"\n", + "print\"(ii) Total tension in the wire is\",T,\"N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(i) Magnetic field is 0.261 T\n", + "(ii) Total tension in the wire is 1.176 N\n" + ] + } + ], + "prompt_number": 161 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.33 Page no 386" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "B=0.15 #T\n", + "m=0.30 #Kg/m\n", + "a=30 #degree\n", + "g=9.8 #m/s**2\n", + "\n", + "#Calculation\n", + "import math\n", + "I=m*g*math.tan(a*3.14/180.0)/B\n", + "\n", + "#Result\n", + "print\"Value of current is\", round(I,2),\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of current is 11.31 A\n" + ] + } + ], + "prompt_number": 165 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.34 Page no 386" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "I1=4 #A\n", + "I2=3\n", + "r=3.0*10**-2 #m\n", + "u=10**-7\n", + "l=5*10**-2\n", + "\n", + "#Calculation\n", + "F=u*2*I1*I2/r\n", + "F1=F*l\n", + "\n", + "#Result\n", + "print\"Total force is\", F1,\"N (attractive force)\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Total force is 4e-06 N (attractive force)\n" + ] + } + ], + "prompt_number": 171 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.35 Page no 386" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "AB=25*10**-2 #m\n", + "BC=10*10**-2\n", + "r1=2.0*10**-2 #m\n", + "I1=15 #A\n", + "I2=25 #A\n", + "u=10**-7\n", + "\n", + "#Calculation\n", + "r2=BC+r1\n", + "F1=u*2*I1*I2*AB/r1\n", + "F2=u*2*I1*I2*AB/r2\n", + "F=F1-F2\n", + "\n", + "#Result\n", + "print\"Net force on the loop is\", F*10**4,\"*10**-4 N (towards XY)\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Net force on the loop is 7.8125 *10**-4 N (towards XY)\n" + ] + } + ], + "prompt_number": 182 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.36 Page no 387" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "M=30*10**-3 #Kg\n", + "g=9.8 #m/s**2\n", + "l=0.5 #m\n", + "r=10**-2\n", + "u=10**-7\n", + "\n", + "#Calculation\n", + "import math\n", + "I=math.sqrt((M*g*r)/(u*2*l))\n", + "\n", + "#Result\n", + "print\"Value of current is\", round(I,2),\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of current is 171.46 A\n" + ] + } + ], + "prompt_number": 186 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.37 Page no 387" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "n=900\n", + "l=0.6\n", + "u=10**-7\n", + "l2=0.02 #m\n", + "l1=6\n", + "m=2.5*10**-3 #Kg\n", + "g=9.8\n", + "\n", + "#Calculation\n", + "import math\n", + "n1=n/l\n", + "B=4*math.pi*n1\n", + "F=B*l1*l2\n", + "I=m*g/F\n", + "\n", + "#Result\n", + "print\"Current in the winding of the secondary is\", round(I*10**7,1),\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Current in the winding of the secondary is 108.3 A\n" + ] + } + ], + "prompt_number": 197 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.38 Page no 387" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "A=1.6*10**-3 #m**2\n", + "n=200\n", + "B=0.2 #T\n", + "a=30 #degree\n", + "K=10**-6 #N m /degree\n", + "a1=0.1\n", + "\n", + "#Calculation\n", + "Imax=K*a/(n*B*A)\n", + "Imin=K*a1/(n*B*A)\n", + "\n", + "#Result\n", + "print\"(i) Minimum current is\",round(Imax*10**4,2),\"*10**-4 A\"\n", + "print\"(ii) Smallest current that can be detected is\",Imin,\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(i) Minimum current is 4.69 *10**-4 A\n", + "(ii) Smallest current that can be detected is 1.5625e-06 A\n" + ] + } + ], + "prompt_number": 204 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.39 Page no 388 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "R=5000.0 #ohm/V\n", + "V=5\n", + "V1=20.0\n", + "\n", + "#Calculation\n", + "Ig=1/R\n", + "G=V/Ig\n", + "R1=(V1/Ig)-G\n", + "Rn=R1+G\n", + "Rv=Rn/V1\n", + "\n", + "#Result\n", + "print\"New voltmeter will be still graded as\", Rv,\"ohm/V\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "New voltmeter will be still graded as 5000.0 ohm/V\n" + ] + } + ], + "prompt_number": 212 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12.40 Page no 388" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "V1=100 #V\n", + "Rv=400.0 \n", + "\n", + "#Calculation\n", + "I1=V1/Rv\n", + "V=I1*20\n", + "V2=V1+V\n", + "V3=V2-V1\n", + "\n", + "#Result\n", + "print\"Error in the reading of the voltmeter is\",V3,\"V\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Error in the reading of the voltmeter is 5.0 V\n" + ] + } + ], + "prompt_number": 215 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit