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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:3d029ef4e834a5cd003571095b5e7fdf64f109f6f6e91dbd7ffcf37b297f5b62"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 4: Work Power and Energy"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.1: Page 61"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "I=11;# current in A\n",
+ "V1=55;# voltage in V\n",
+ "V2=220;# voltage in V\n",
+ "\n",
+ "#calculations\n",
+ "V=V2-V1;\n",
+ "R=V/I; \n",
+ "P=I**2*R;\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)resistance,R = \", R,\" ohm\" \n",
+ "print \"(b)power lost,P = \",P,\" W\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)resistance,R = 15.0 ohm\n",
+ "(b)power lost,P = 1815.0 W\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.2: Page 61"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "V=300;# voltage in volts\n",
+ "W=360;# power lost in one coil in watt\n",
+ "I=6; # current in A\n",
+ "\n",
+ "#calculations:\n",
+ "R1=V/I;\n",
+ "R=V**2/W;\n",
+ "a=(1/R1)-(1/R);\n",
+ "r2=1/a;\n",
+ "\n",
+ "#Results\n",
+ "print \"resistance of 360W coil1,R= \",R,\"ohm and \\n resistance of second coil2,r2=\",r2,\"ohm\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "resistance of 360W coil1,R= 250.0 ohm and \n",
+ " resistance of second coil2,r2= 62.5 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.3: Page 61"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "W1=100# in watt\n",
+ "E=110# in volts\n",
+ "W2=60# in watt\n",
+ "\n",
+ "#calculations:\n",
+ "I1=W1/E# current taken by 100 w lamp\n",
+ "I2=W2/E# current taken by 60W lamp\n",
+ "I=I1-I2;\n",
+ "R=E/I;\n",
+ "\n",
+ "#Results\n",
+ "print \"resistance,R =\", R,\" ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "resistance,R = 302.5 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.4: Page 62"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "w=100;# in watt\n",
+ "V=220;# voltage in volts\n",
+ "\n",
+ "#calculations:\n",
+ "R1=V**2/w;\n",
+ "Rp=R1/2;# total resistance of the circuit\n",
+ "Ip=V/Rp;\n",
+ "Wp=Ip**2*Rp;\n",
+ "R2=V**2/w;\n",
+ "Rs=R1+R2;# total resistance of the circuit\n",
+ "Is=V/Rs;\n",
+ "Ws=Is**2*Rs;\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)power in case of parallel,W = \",Wp,\"watts\"\n",
+ "print \"(b)power in case of series, W = \",Ws,\" Watts\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)power in case of parallel,W = 200.0 watts\n",
+ "(b)power in case of series, W = 50.0 Watts\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.5: Page 63"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "V = 220; #voltage\n",
+ "l=300;# number of lamps\n",
+ "w1=60;# in watt\n",
+ "w2=40;# in watt\n",
+ "f=100;# number of fan\n",
+ "\n",
+ "# Calculations:\n",
+ "W1=w1*l;# wattage required for 300 lamps, 60 watt each\n",
+ "W2=w2*f# wattage required for 100 fans, 40 watt each\n",
+ "W=(W1+W2)*10**-3;\n",
+ "I=(W*1000)/V;\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)total load,W = \",W,\" kW\" \n",
+ "print \"(b)current,I = \",I,\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)total load,W = 22.0 kW\n",
+ "(b)current,I = 100.0 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.6: Page 63"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given and Calculations:\n",
+ "nl=12#no. of lamps\n",
+ "wl=100#wattage of lamps\n",
+ "hl=6 #each lamps work 6 hours a days\n",
+ "nf=6 #no. of fans\n",
+ "wf=60#wattage of fans\n",
+ "hf=5 #each fans work 5 hours a days\n",
+ "nc=2 #no. of electric cookers\n",
+ "wc=1500#wattage of electric cookers\n",
+ "hc=4 #each electric cookers work 4 hours a days\n",
+ "ng=2 #no. of gysers\n",
+ "wg=1000#wattage of each gyser\n",
+ "hg=3 #each gyser works 3 hours a day\n",
+ "Ccg=40#IN PAISA\n",
+ "Ccg1=35#IN PAISA\n",
+ "\n",
+ "# Calculations:\n",
+ "w12=wl*nl*hl#wattage of 12 lamps in Wh\n",
+ "w6=wf*nf*hf#wattage of 12 fans in Wh\n",
+ "w2=wc*nc*hc#wattage of 2 electric cookers in Wh\n",
+ "w21=wg*hg*ng#total wattage of gysers in Wh\n",
+ "tcg=(w12+w6)*10**-3#TOTAL WATTAGE OF LAMPS AND FANS\n",
+ "Ecg= (tcg*Ccg*30)/100#TOTAL ENERGY CHARGES @40 PAISA PER UNIT\n",
+ "tcg1=(w2+w21)*10**-3#TOTAL WATTAGE OF COOKERS AND GYSERS\n",
+ "Ecg1= (tcg1*Ccg1*30)/100#TOTAL ENERGY CHARGES @35 PAISA PER UNIT\n",
+ "tc=Ecg+Ecg1# IN RUPPES\n",
+ "\n",
+ "#Results\n",
+ "print \"total cost of electric charge @40 paisa per unit in rupees\",Ecg\n",
+ "print \"total cost of electric charge @35 paisa per unit in rupees\",Ecg1\n",
+ "print \"total charge for ligh and power in rupees\",tc"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "total cost of electric charge @40 paisa per unit in rupees 108.0\n",
+ "total cost of electric charge @35 paisa per unit in rupees 189.0\n",
+ "total charge for ligh and power in rupees 297.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.7: Page 63"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given and Calculations\n",
+ "V = 250;#volts\n",
+ "r = 0.03; #in ohms\n",
+ "I = 20; #in Amps\n",
+ "nl=400#no. of lamps\n",
+ "wl=100#wattage of lamps\n",
+ "nf=100#no. of fans\n",
+ "wf=40#wattage of fans\n",
+ "nc=200#no. of wall scokets\n",
+ "wc=60#wattage of wall scckets\n",
+ "hl=50#heating load in kW\n",
+ "h=5 # hours\n",
+ "\n",
+ "# Calculations:\n",
+ "w400=wl*nl#wattage of 400 lamps in W\n",
+ "w6=wf*nf#wattage of 100 fans in W\n",
+ "w2=wc*nc#wattage of 200 wall sockets in Wh\n",
+ "tc= (w400+w6+w2)/1000#total consumption in kW\n",
+ "Ml=V*I/1000#miscellaneous loads in kW\n",
+ "Mo= ((50*80*746)/(100*1000))#MOTOR AT 80% LOAD IN Kw\n",
+ "tl=tc+Ml+hl+Mo#total load in kW\n",
+ "It = tl*1000/V\n",
+ "Vc=It*r#voltage drop in the cable\n",
+ "Vs=Vc+V#voltage at the sending end of the feeder in volts\n",
+ "Pw=It**2*r#power wasted in kW\n",
+ "ll=tc*h#lightning load in kWh\n",
+ "te=Ml*2 + ll#TOTAL ENERGY COSNUMED PER DAY\n",
+ "Nu=te*6#NO. OF UNITS\n",
+ "Ec=(Nu*30)/100# ENERGY CHARGE @30 PAISA PER UNIT\n",
+ "eCM=Ec+2+34.80#TOTAL CHARGE AFTER TAX AND RENT IN RUPEES.\n",
+ "hlh=hl*4#heating load in kWh\n",
+ "Moh=Mo*8#MOTOR LOAD IN kWh\n",
+ "TEP=hlh+Moh#total energy per day\n",
+ "tepl=TEP*6#total energy in 6 days\n",
+ "tepc=(tepl*35)/100# energy charges @35 paisa per unit in rupees\n",
+ "tepcl=tepc+50+78.96#total charges in rupess\n",
+ "\n",
+ "GTb = eCM + tepcl\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)total consumption of factory is \", tl,\"kW\"\n",
+ "print \"(b)total current taken buy the factory\",It,\" Amp\"\n",
+ "print \"(c)voltage at the sending end of the feeder is\",round(Vs,1),\"Volts\"\n",
+ "print \"(d)power wasted is\",round(Pw/1000,2),\"kW\"\n",
+ "print \"(e)total lightning charges- including meter rent and electricy tax is,(Rs)=\",round(eCM,2)\n",
+ "print \"total power charges including meter rent and electricy tax is,(Rs)=\",round(tepcl,2)\n",
+ "print \"grand total of bills is,(Rs)=\",round(GTb,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)total consumption of factory is 140.84 kW\n",
+ "(b)total current taken buy the factory 563.36 Amp\n",
+ "(c)voltage at the sending end of the feeder is 266.9 Volts\n",
+ "(d)power wasted is 9.52 kW\n",
+ "(e)total lightning charges- including meter rent and electricy tax is,(Rs)= 558.8\n",
+ "total power charges including meter rent and electricy tax is,(Rs)= 1050.27\n",
+ "grand total of bills is,(Rs)= 1609.07\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.8: Page 64"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data :\n",
+ "V=250;# voltage in volts\n",
+ "L=5*746;# 1 hp=746 watt\n",
+ "eta=80# eficiency of motor in %\n",
+ "\n",
+ "# Calculations:\n",
+ "Input=(L*100)/80; \n",
+ "I=Input/V;\n",
+ "\n",
+ "#Results\n",
+ "print \"cureent,I(A) = \", I"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "cureent,I(A) = 18.65\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.9: Page 64"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given:\n",
+ "p=30 #horse power of motor\n",
+ "r=24 # rupees per kWh\n",
+ "ec=35#paisa per unit\n",
+ "n=80 #percentage of load\n",
+ "t=8 # in hours\n",
+ "d=25 # total days\n",
+ "ne=96#efficiency of motor in percentage\n",
+ "\n",
+ "#calculations:\n",
+ "mo=(n*p)/100#output of motor at 80% of load\n",
+ "mi=(mo*100*746)/(ne)#input of motor in watts\n",
+ "ecm=mi*10**-3*t*d#energy consumed in a month\n",
+ "ecu=(ecm*35)/100#energy charges\n",
+ "mid=(30*100*746)/(ne*1000)#input of motor in kW at demanded\n",
+ "ecud=(mid*24)# demanded connection in rupees\n",
+ "ta=ecu+ecud#total bill in rupees\n",
+ "\n",
+ "#Results\n",
+ "print \"total bill in rupees is\",ta"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "total bill in rupees is 1865.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.10: Page 65"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given:\n",
+ "V=400#three phase voltage\n",
+ "lp=50#no. of light points\n",
+ "lw=60#wattage of light points\n",
+ "fp=20#no. of fan points\n",
+ "fw=100#wattage of fan points\n",
+ "wpp=10#no. of wall plug points\n",
+ "wppw=60#wattage of wall plug points\n",
+ "bp=5 #no. of bell points\n",
+ "bpw=40#wattage of bell points\n",
+ "ppp=8#power plug points\n",
+ "pppw=500#wattage of power plug points\n",
+ "\n",
+ "#calculations:\n",
+ "lpw=lp*lw#wattage of 50 lamps\n",
+ "fpw=fp*fw#wattage of 20 fans\n",
+ "wpppw=wpp*wppw#wattage of wall plug points\n",
+ "bpww=bp*bpw#wattage of bell points \n",
+ "tl=lpw+fpw+wpppw+bpww#total wattage\n",
+ "ppppw=ppp*pppw#wattage of power plug points\n",
+ "tw=tl+ppppw#total wattage\n",
+ "Il=(tl/V)# CURRENT THROUGH LIGHTNING LOAD\n",
+ "Ip=ppppw/V# current through power load\n",
+ "ttl=Il+Ip#total load curent\n",
+ "\n",
+ "#Results\n",
+ "print \"total wattage of lightning load is in watts = \", tl\n",
+ "print \"total load current in amperes = \",ttl"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "total wattage of lightning load is in watts = 5800\n",
+ "total load current in amperes = 24.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.11: Page 66"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data and calculations:\n",
+ "h=30;# in m\n",
+ "Fl=10# friction loss in %\n",
+ "eta=90;# eficiency of pump\n",
+ "w=1000;# water weight in kg\n",
+ "flow_rate=243;# in per hour\n",
+ "\n",
+ "# Calculations:\n",
+ "Hl=(Fl/100)*h;\n",
+ "total_H=h+Hl;\n",
+ "W_done=(flow_rate*w*total_H)/60;# in kg-m/min\n",
+ "output=W_done/4500;#output of pump in hp\n",
+ "In=(output*100)/eta;\n",
+ "O=In;\n",
+ "\n",
+ "#Results\n",
+ "print \"output of the motor,O(hp) = \",O"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "output of the motor,O(hp) = 33.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 4.12: Page 66"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data:\n",
+ "l=7.5#load in tonnes\n",
+ "h=135#height in meters\n",
+ "c=0.5#cge weight in tonnes\n",
+ "b=3 #balance weight in tonnes\n",
+ "td=90#time in seconds\n",
+ "onet=1000# in kg\n",
+ "onehp=746#watt\n",
+ "\n",
+ "#calculations:\n",
+ "wl=l+c-b#weight lifted during upward journey in tonnes\n",
+ "wld=b-c#weight lifted during downward journey in tonnes\n",
+ "wdu=(wl*10**3*h*60)/td#work done by the lift per minute during upward journey\n",
+ "wdd=(wld*10**3*h*60)/td#work done by the lift per minute during downward journey\n",
+ "mou=wdu/4500# in hp\n",
+ "miu=(mou*100*746)/(n*1000)# input of motor in kW\n",
+ "mod=wdd/4500# in hp\n",
+ "mid=(mod*100*746)/(n*1000)# input of motor in kW\n",
+ "tc=miu+mid#total energy consumption in kW\n",
+ "Eh=tc*10#total energy consuption per hour\n",
+ "rate=40#rate in paisa\n",
+ "ce=Eh*(rate/100)#cost of energy in rupees\n",
+ "\n",
+ "#Results\n",
+ "print \"(a1)BHP of the motor in upward journey in hp\",mou \n",
+ "print \"(a2)BHP of the motor in downward journey in hp\",mod\n",
+ "print \"(b)cost of energy in rupees is\" ,ce"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a1)BHP of the motor in upward journey in hp 100.0\n",
+ "(a2)BHP of the motor in downward journey in hp 50.0\n",
+ "(b)cost of energy in rupees is 559.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file