Simple Electric Circuits
|
|
- Ezra Marvin Cobb
- 7 years ago
- Views:
Transcription
1 Simple Eletri Ciruits Gol: To uild nd oserve the opertion of simple eletri iruits nd to lern mesurement methods for eletri urrent nd voltge using mmeters nd voltmeters. L Preprtion Eletri hrges move through eletril ondutors in response to potentil differene or voltge. The eletri urrent is the rte tht these hrges move through the iruit. Eletri urrent is mesured in mperes () or mps. Current diretion is defined s the diretion positive hrges will flow (opposite to the eletrons in the ondutors). The eletri iruits in this l re uilt with tteries, light uls, swithes, nd wires. The tteries provide potentil differene or voltge. The hrteristis nd rrngement of the light uls will determine how muh urrent flows. Series iruits re ones where ll devies re onneted end-to-end, forming single pth for eletrons to flow. The sme urrent exists lmost immeditely through ll the devies nd lso in the ttery tht is providing the voltge. Prllel iruits hve t lest two or more devies onneted in suh wy tht the sme voltge ts ross eh one nd ny single one ompletes the iruit independently of the other devies. Equipment mmeters. Eletri urrent is mesured with n mmeter. In order for the meter to mesure the urrent, the eletri hrges must flow through the meter, tht is, they enter through one terminl (the red of positive terminl) nd exit from nother terminl (usully indited y lk, or leled negtive). In iruit, n mmeter should e hooked up in series. Voltmeters. Mesuring potentil differene or voltge is done with voltmeter (whih mesures in volts). Unlike mmeters mesuring urrent t single point in the iruit, voltmeters ompre the eletri potentil t two different points in iruit. Voltmeters re hooked up in prllel in iruit. There re mny eletril omponents used in this l. Btteries, light uls, nd swithes re ll used. The shemti symols of the omponents used in this l re shown elow. V Bttery Bul Wire Swith (open) mmeter Voltmeter The wire exmple shows "juntion," where eletrilly onneted wires re indited y the solid irle. 1
2 Proedure I. Qulittive oservtions.. Without using ny meters yet, egin y uilding the simplest of iruits using the ttery pk, one light ul, nd the swith, long with neessry wires to mke the onnetions, shown in Figure 2. Ple your omponents s shown in the shemti s losely s possile. The swith is normlly open. When the swith is pushed to ring the two sides into ontt, it is referred to s eing losed. Close the swith nd oserve wht hppens nd reord you oservtion. Figure 2 B. Continue y uilding the series iruit in in Figure 3. Close the swith nd oserve wht hppens. Figure 3 Mke tle similr to Tle 1 elow nd rnk the rightness of the uls for your iruit. Let 3 represent the rightest nd 1 represent the dimmest. Bul 1 Bul 2 Bul 3 1 Bul - Series Buls - Series - 3 Buls - Series 2 Buls - Prllel - 3 Buls - Prllel Comined Tle 1 2
3 C. Build the series iruit in Figure 4. Close the swith, oserve wht hppens, nd rnk the rightness of the uls in your tle. B3 Figure 4 D. Return to the strting iruit (Figure 2) nd dd seond ul in prllel with the originl s shown in Figure 5. Close the swith, oserve wht hppens, nd rnk the rightness of the uls in your tle. Figure 5 E. dd third ul in prllel s shown in Figure 6. Close the swith, oserve wht hppens, nd rnk the rightness of the uls in your tle. B3 Figure 6 F. Lstly, uild the three-ul omined iruit shown in Figure 7. gin, lose the swith, oserve wht hppens, nd rnk the rightness of the uls in your tle. B3 Figure 7 3
4 II. Mesuring eletri urrent. *mmeters re esily dmged or destroyed y llowing urrents to flow tht re lrger thn the full-sle vlue for given setting. They re the lest durle of eletril instruments you will use in l. lwys doule hek the wiring nd rnge seletion efore operting your iruits. When using mmeters lwys egin mesuring using the lrgest urrent rnge ville (5 ). If the meter produes smll reding or defletion, then hnge the rnge to the next more sensitive setting (.5 ). Do not use rnge tht will send the meter eyond the full-sle vlue.. One gin uild the iruit in Figure 2. The mmeter will e put in the iruit t 3 different ples:,, & s shown in Figure 8. To mesure the urrent t point, the iruit must e dis-ssemled it so tht the mmeter in the iruit is in series with the light ul s shown in Figure 8. Be sure to onnet the mmeter so tht urrent enters (one of) the + or red terminls nd exits the or lk terminl to the rest of the iruit. I I + - Figure 8 Figure 8 Mesure I, the urrent leving the ttery nd entering the mmeter nd reord on your dt worksheet. Tke the mmeter out of the iruit nd ssemle it t point to mesure I nd ssemle it gin t point to mesure I. How re I, I, nd I relted in this iruit? B. Mke nd reord urrent mesurements for the series iruit S2 t the lettered points in Figure 9. Figure 9 4
5 From your oservtions of the urrents in these series iruits, nswer the following questions. 1. How is the rightness of the ul relted to the urrent flowing? 2. Wht n you sy out the urrent flowing through eh ul in series iruit? C. Mke nd reord urrent mesurements for the prllel iruit P2 t the lettered points in Figure 10. Hooking up the mmeter t points nd n e little triky so you might wnt to hek with your T to mke sure the mmeter is hooked up orretly. d Figure 10 From your oservtions of the urrents in this prllel iruit, nswer the following questions. 1. How does the urrent through Bul 1 ompre to the urrent through Bul 2? 2. Wht is the likely mthemtil reltionship etween I, I, nd I? D. Mke nd reord urrent mesurements for the omined iruit t the lettered points in Figure 11. Figure 11 From your oservtions of the urrents in this omined iruit, nswer the following questions. 1. If ul is not glowing, does tht men there must neessrily e no urrent flowing? Explin. 2. Test your mthemtil reltionship etween I, I, nd I tht ws developed for prt C. 5
6 III. Mesuring voltge. Unlike hooking up n mmeter, voltmeter n e used without disssemling the iruit. The voltmeter leds or proes n e tthed (or touhed) t two different points in the iruit. The voltmeter reports the potentil differene, ΔV, etween the two proe lotions, V + - V - or V red V lk. This differene is usully lled simply the voltge or the voltge drop etween the points. It is good ide to use olor-oded proes or leds with the voltmeter to keep the proper sense of polrity in the mesurements. Let s represent these differenes y simple nottion: V B = V V B, so tht V B would e mesured y pling the red (+, or high) proe t point nd the lk (- or low) proe t point B. The rel voltmeter used here is digitl multimeter tht n e used to mesure voltge, urrent, nd resistne. Be sure to selet the pproprite funtion DC voltge mesurement, not C nd suitle rnge for the mesurements t hnd. sk your l instrutor for ssistne in interpreting the vrious ions on the meter if neessry. Be sure not to use urrent-mesuring sle!. Begin with the simple one-ul iruit gin nd with the swith losed mesure nd reord the voltge drop V BC ross the light ul s in Figure 12. B V D C Figure 12 lso mesure the voltge drops long the wire from the + ttery terminl to the light ul, V B, nd from the ul k to - terminl of the ttery, V CD. To finish, mesure V D, nd V D (reversing the roles of red nd lk leds). Now mesure the ove vlues when the swith is open. List ll mesurements (swith losed nd open) in tle. From your oservtions of the voltges in this simple iruit, nswer the following questions. 1. How re V D nd V D relted? 2. How does V B + V BC + V CD ompre to V D? 3. Wht do you get if you sum up the voltge drops one round the iruit? (V B + V BC + V CD + V D =?) 4. With the swith losed does it pper resonle to neglet the voltge drops V B nd V CD long the wire segments? 6
7 B. For the series iruit S2 mesure the voltge drops ross eh light ul nd the ttery gin. Refer to Figure 13 nd mesure V B, V BC, nd V C round the iruit with the swith losed. Wht is the sum of the voltge drops round the iruit? B C Figure 13 C. For the prllel iruit P2 (Fig. 5 or Fig. 10) mesure the voltge drop ross eh ul nd the voltge drop ross the ttery nd reord. How do the voltge drops ompre? D. Mke voltge drop mesurements ross ll uls for the omined iruit, V B, V BD, V CD, nd V D (Figure 14). B C D Figure 14 From your oservtions nd mesurements of voltges in the omined iruit nswer the following questions. 1. Find the sum of the voltge drops long pth -B-D (V B + V BD ). Compre this sum to the voltge supplied y the ttery, V D. 2. Find the sum of the voltge drops long pth -B-C-D (V B + V CD ). Compre this sum to the voltge supplied y the ttery, V D. *When finished with your l len up your l sttion. Mke sure you put ll of your wires wy. Homework 1. Wht n you sy out the eletri urrent tht flows through two or more uls onneted one fter nother in series iruit? 2. Wht n you sy out the urrent flowing into juntion of 3 wires ompred to the urrents tht flow out from the juntion? Stte Kirhhoff's juntion rule nd ompre. 3. Stte Kirhhoff's Loop rule. How does this relte to the omined iruit in prt III D? 7
Words Symbols Diagram. abcde. a + b + c + d + e
Logi Gtes nd Properties We will e using logil opertions to uild mhines tht n do rithmeti lultions. It s useful to think of these opertions s si omponents tht n e hooked together into omplex networks. To
More informationCS99S Laboratory 2 Preparation Copyright W. J. Dally 2001 October 1, 2001
CS99S Lortory 2 Preprtion Copyright W. J. Dlly 2 Octoer, 2 Ojectives:. Understnd the principle of sttic CMOS gte circuits 2. Build simple logic gtes from MOS trnsistors 3. Evlute these gtes to oserve logic
More informationChapter. Contents: A Constructing decimal numbers
Chpter 9 Deimls Contents: A Construting deiml numers B Representing deiml numers C Deiml urreny D Using numer line E Ordering deimls F Rounding deiml numers G Converting deimls to frtions H Converting
More informationCHAPTER 31 CAPACITOR
. Given tht Numer of eletron HPTER PITOR Net hrge Q.6 9.6 7 The net potentil ifferene L..6 pitne v 7.6 8 F.. r 5 m. m 8.854 5.4 6.95 5 F... Let the rius of the is R re R D mm m 8.85 r r 8.85 4. 5 m.5 m
More informationHomework 3 Solutions
CS 341: Foundtions of Computer Science II Prof. Mrvin Nkym Homework 3 Solutions 1. Give NFAs with the specified numer of sttes recognizing ech of the following lnguges. In ll cses, the lphet is Σ = {,1}.
More informationSECTION 7-2 Law of Cosines
516 7 Additionl Topis in Trigonometry h d sin s () tn h h d 50. Surveying. The lyout in the figure t right is used to determine n inessile height h when seline d in plne perpendiulr to h n e estlished
More information1. Definition, Basic concepts, Types 2. Addition and Subtraction of Matrices 3. Scalar Multiplication 4. Assignment and answer key 5.
. Definition, Bsi onepts, Types. Addition nd Sutrtion of Mtries. Slr Multiplition. Assignment nd nswer key. Mtrix Multiplition. Assignment nd nswer key. Determinnt x x (digonl, minors, properties) summry
More informationReasoning to Solve Equations and Inequalities
Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing
More information2 DIODE CLIPPING and CLAMPING CIRCUITS
2 DIODE CLIPPING nd CLAMPING CIRCUITS 2.1 Ojectives Understnding the operting principle of diode clipping circuit Understnding the operting principle of clmping circuit Understnding the wveform chnge of
More informationRatio and Proportion
Rtio nd Proportion Rtio: The onept of rtio ours frequently nd in wide vriety of wys For exmple: A newspper reports tht the rtio of Repulins to Demorts on ertin Congressionl ommittee is 3 to The student/fulty
More information, and the number of electrons is -19. e e 1.60 10 C. The negatively charged electrons move in the direction opposite to the conventional current flow.
Prolem 1. f current of 80.0 ma exists in metl wire, how mny electrons flow pst given cross section of the wire in 10.0 min? Sketch the directions of the current nd the electrons motion. Solution: The chrge
More informationAlgebra Review. How well do you remember your algebra?
Algebr Review How well do you remember your lgebr? 1 The Order of Opertions Wht do we men when we write + 4? If we multiply we get 6 nd dding 4 gives 10. But, if we dd + 4 = 7 first, then multiply by then
More informationINSTALLATION, OPERATION & MAINTENANCE
DIESEL PROTECTION SYSTEMS Exhust Temperture Vlves (Mehnil) INSTALLATION, OPERATION & MAINTENANCE Vlve Numer TSZ-135 TSZ-150 TSZ-200 TSZ-275 TSZ-392 DESCRIPTION Non-eletril temperture vlves mnuftured in
More informationRegular Sets and Expressions
Regulr Sets nd Expressions Finite utomt re importnt in science, mthemtics, nd engineering. Engineers like them ecuse they re super models for circuits (And, since the dvent of VLSI systems sometimes finite
More informationPolynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )
Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +
More informationAngles 2.1. Exercise 2.1... Find the size of the lettered angles. Give reasons for your answers. a) b) c) Example
2.1 Angles Reognise lternte n orresponing ngles Key wors prllel lternte orresponing vertilly opposite Rememer, prllel lines re stright lines whih never meet or ross. The rrows show tht the lines re prllel
More informationAnswer, Key Homework 10 David McIntyre 1
Answer, Key Homework 10 Dvid McIntyre 1 This print-out should hve 22 questions, check tht it is complete. Multiple-choice questions my continue on the next column or pge: find ll choices efore mking your
More informationBayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom
Byesin Updting with Continuous Priors Clss 3, 8.05, Spring 04 Jeremy Orloff nd Jonthn Bloom Lerning Gols. Understnd prmeterized fmily of distriutions s representing continuous rnge of hypotheses for the
More informationExample 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers.
2 Rtionl Numbers Integers such s 5 were importnt when solving the eqution x+5 = 0. In similr wy, frctions re importnt for solving equtions like 2x = 1. Wht bout equtions like 2x + 1 = 0? Equtions of this
More informationThe remaining two sides of the right triangle are called the legs of the right triangle.
10 MODULE 6. RADICAL EXPRESSIONS 6 Pythgoren Theorem The Pythgoren Theorem An ngle tht mesures 90 degrees is lled right ngle. If one of the ngles of tringle is right ngle, then the tringle is lled right
More information1 Fractions from an advanced point of view
1 Frtions from n vne point of view We re going to stuy frtions from the viewpoint of moern lger, or strt lger. Our gol is to evelop eeper unerstning of wht n men. One onsequene of our eeper unerstning
More informationA.7.1 Trigonometric interpretation of dot product... 324. A.7.2 Geometric interpretation of dot product... 324
A P P E N D I X A Vectors CONTENTS A.1 Scling vector................................................ 321 A.2 Unit or Direction vectors...................................... 321 A.3 Vector ddition.................................................
More informationLesson 2.1 Inductive Reasoning
Lesson.1 Inutive Resoning Nme Perio Dte For Eerises 1 7, use inutive resoning to fin the net two terms in eh sequene. 1. 4, 8, 1, 16,,. 400, 00, 100, 0,,,. 1 8, 7, 1, 4,, 4.,,, 1, 1, 0,,. 60, 180, 10,
More informationExperiment 6: Friction
Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht
More informationLISTENING COMPREHENSION
PORG, přijímí zkoušky 2015 Angličtin B Reg. číslo: Inluded prts: Points (per prt) Points (totl) 1) Listening omprehension 2) Reding 3) Use of English 4) Writing 1 5) Writing 2 There re no extr nswersheets
More informationStudent Access to Virtual Desktops from personally owned Windows computers
Student Aess to Virtul Desktops from personlly owned Windows omputers Mdison College is plesed to nnoune the ility for students to ess nd use virtul desktops, vi Mdison College wireless, from personlly
More informationModule 5. Three-phase AC Circuits. Version 2 EE IIT, Kharagpur
Module 5 Three-hse A iruits Version EE IIT, Khrgur esson 8 Three-hse Blned Suly Version EE IIT, Khrgur In the module, ontining six lessons (-7), the study of iruits, onsisting of the liner elements resistne,
More informationRotating DC Motors Part II
Rotting Motors rt II II.1 Motor Equivlent Circuit The next step in our consiertion of motors is to evelop n equivlent circuit which cn be use to better unerstn motor opertion. The rmtures in rel motors
More informationPractice Test 2. a. 12 kn b. 17 kn c. 13 kn d. 5.0 kn e. 49 kn
Prtie Test 2 1. A highwy urve hs rdius of 0.14 km nd is unnked. A r weighing 12 kn goes round the urve t speed of 24 m/s without slipping. Wht is the mgnitude of the horizontl fore of the rod on the r?
More informationSection 5-4 Trigonometric Functions
5- Trigonometric Functions Section 5- Trigonometric Functions Definition of the Trigonometric Functions Clcultor Evlution of Trigonometric Functions Definition of the Trigonometric Functions Alternte Form
More informationORGANIZER QUICK REFERENCE GUIDE
NOTES ON ORGANIZING AND SCHEDULING MEETINGS Individul GoToMeeting orgnizers my hold meetings for up to 15 ttendees. GoToMeeting Corporte orgnizers my hold meetings for up to 25 ttendees. GoToMeeting orgnizers
More information1 GSW IPv4 Addressing
1 For s long s I ve een working with the Internet protools, people hve een sying tht IPv6 will e repling IPv4 in ouple of yers time. While this remins true, it s worth knowing out IPv4 ddresses. Even when
More informationGraphs on Logarithmic and Semilogarithmic Paper
0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl
More informationQuick Guide to Lisp Implementation
isp Implementtion Hndout Pge 1 o 10 Quik Guide to isp Implementtion Representtion o si dt strutures isp dt strutures re lled S-epressions. The representtion o n S-epression n e roken into two piees, the
More informationExample A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding
1 Exmple A rectngulr box without lid is to be mde from squre crdbord of sides 18 cm by cutting equl squres from ech corner nd then folding up the sides. 1 Exmple A rectngulr box without lid is to be mde
More informationMaximum area of polygon
Mimum re of polygon Suppose I give you n stiks. They might e of ifferent lengths, or the sme length, or some the sme s others, et. Now there re lots of polygons you n form with those stiks. Your jo is
More informationOUTLINE SYSTEM-ON-CHIP DESIGN. GETTING STARTED WITH VHDL August 31, 2015 GAJSKI S Y-CHART (1983) TOP-DOWN DESIGN (1)
August 31, 2015 GETTING STARTED WITH VHDL 2 Top-down design VHDL history Min elements of VHDL Entities nd rhitetures Signls nd proesses Dt types Configurtions Simultor sis The testenh onept OUTLINE 3 GAJSKI
More informationUNIVERSITY AND WORK-STUDY EMPLOYERS WEBSITE USER S GUIDE
UNIVERSITY AND WORK-STUDY EMPLOYERS WEBSITE USER S GUIDE Tble of Contents 1 Home Pge 1 2 Pge 2 3 Your Control Pnel 3 4 Add New Job (Three-Step Form) 4-6 5 Mnging Job Postings (Mnge Job Pge) 7-8 6 Additionl
More informationClause Trees: a Tool for Understanding and Implementing Resolution in Automated Reasoning
Cluse Trees: Tool for Understnding nd Implementing Resolution in Automted Resoning J. D. Horton nd Brue Spener University of New Brunswik, Frederiton, New Brunswik, Cnd E3B 5A3 emil : jdh@un. nd spener@un.
More informationSUPPLEMENTARY MATERIAL
SUPPLEMENTARY MATERIAL Lyer-speifi exittory iruits differentilly ontrol reurrent network dynmis in the neoortex Rirdo Beltrmo, Giuli D Urso, Mro Dl Mshio, Psqulin Frisello, Seren Bovetti, Yonne Clovis,
More informationHow To Organize A Meeting On Gotomeeting
NOTES ON ORGANIZING AND SCHEDULING MEETINGS Individul GoToMeeting orgnizers my hold meetings for up to 15 ttendees. GoToMeeting Corporte orgnizers my hold meetings for up to 25 ttendees. GoToMeeting orgnizers
More informationNQF Level: 2 US No: 7480
NQF Level: 2 US No: 7480 Assessment Guide Primry Agriculture Rtionl nd irrtionl numers nd numer systems Assessor:.......................................... Workplce / Compny:.................................
More informationOperations with Polynomials
38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: Write polynomils in stndrd form nd identify the leding coefficients nd degrees of polynomils Add nd subtrct polynomils Multiply
More informationActive Directory Service
In order to lern whih questions hve een nswered orretly: 1. Print these pges. 2. Answer the questions. 3. Send this ssessment with the nswers vi:. FAX to (212) 967-3498. Or. Mil the nswers to the following
More informationSOLVING QUADRATIC EQUATIONS BY FACTORING
6.6 Solving Qudrti Equtions y Ftoring (6 31) 307 In this setion The Zero Ftor Property Applitions 6.6 SOLVING QUADRATIC EQUATIONS BY FACTORING The tehniques of ftoring n e used to solve equtions involving
More informationSeeking Equilibrium: Demand and Supply
SECTION 1 Seeking Equilirium: Demnd nd Supply OBJECTIVES KEY TERMS TAKING NOTES In Setion 1, you will explore mrket equilirium nd see how it is rehed explin how demnd nd supply intert to determine equilirium
More informationOne Minute To Learn Programming: Finite Automata
Gret Theoreticl Ides In Computer Science Steven Rudich CS 15-251 Spring 2005 Lecture 9 Fe 8 2005 Crnegie Mellon University One Minute To Lern Progrmming: Finite Automt Let me tech you progrmming lnguge
More informationAppendix D: Completing the Square and the Quadratic Formula. In Appendix A, two special cases of expanding brackets were considered:
Appendi D: Completing the Squre nd the Qudrtic Formul Fctoring qudrtic epressions such s: + 6 + 8 ws one of the topics introduced in Appendi C. Fctoring qudrtic epressions is useful skill tht cn help you
More informationc b 5.00 10 5 N/m 2 (0.120 m 3 0.200 m 3 ), = 4.00 10 4 J. W total = W a b + W b c 2.00
Chter 19, exmle rolems: (19.06) A gs undergoes two roesses. First: onstnt volume @ 0.200 m 3, isohori. Pressure inreses from 2.00 10 5 P to 5.00 10 5 P. Seond: Constnt ressure @ 5.00 10 5 P, isori. olume
More informationThe Cat in the Hat. by Dr. Seuss. A a. B b. A a. Rich Vocabulary. Learning Ab Rhyming
MINI-LESSON IN TION The t in the Ht y Dr. Seuss Rih Voulry tme dj. esy to hndle (not wild) LERNING Lerning Rhyming OUT Words I know it is wet nd the sun is not sunny. ut we n hve Lots of good fun tht is
More informationMcAfee Network Security Platform
XC-240 Lod Blner Appline Quik Strt Guide Revision D MAfee Network Seurity Pltform This quik strt guide explins how to quikly set up nd tivte your MAfee Network Seurity Pltform XC-240 Lod Blner. The SFP+
More informationEQUATIONS OF LINES AND PLANES
EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in point-direction nd twopoint
More informationLearning Outcomes. Computer Systems - Architecture Lecture 4 - Boolean Logic. What is Logic? Boolean Logic 10/28/2010
/28/2 Lerning Outcomes At the end of this lecture you should: Computer Systems - Architecture Lecture 4 - Boolen Logic Eddie Edwrds eedwrds@doc.ic.c.uk http://www.doc.ic.c.uk/~eedwrds/compsys (Hevily sed
More informationKNOWING YOUR SEWING MACHINE SEWING BASICS VARIOUS STITCHES APPENDIX
KNOWING YOUR SEWING MACHINE SEWING BASICS VARIOUS STITCHES APPENDIX Plese visit us t http://solutions.rother.om where you n get produt support nd nswers to frequently sked questions (FAQs). INTRODUCTION
More informationPROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY
MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive
More informationSOLVING EQUATIONS BY FACTORING
316 (5-60) Chpter 5 Exponents nd Polynomils 5.9 SOLVING EQUATIONS BY FACTORING In this setion The Zero Ftor Property Applitions helpful hint Note tht the zero ftor property is our seond exmple of getting
More informationFactoring Polynomials
Fctoring Polynomils Some definitions (not necessrily ll for secondry school mthemtics): A polynomil is the sum of one or more terms, in which ech term consists of product of constnt nd one or more vribles
More informationUnit 6: Exponents and Radicals
Eponents nd Rdicls -: The Rel Numer Sstem Unit : Eponents nd Rdicls Pure Mth 0 Notes Nturl Numers (N): - counting numers. {,,,,, } Whole Numers (W): - counting numers with 0. {0,,,,,, } Integers (I): -
More informationEnd of term: TEST A. Year 4. Name Class Date. Complete the missing numbers in the sequences below.
End of term: TEST A You will need penil nd ruler. Yer Nme Clss Dte Complete the missing numers in the sequenes elow. 8 30 3 28 2 9 25 00 75 25 2 Put irle round ll of the following shpes whih hve 3 shded.
More informationChapter. Fractions. Contents: A Representing fractions
Chpter Frtions Contents: A Representing rtions B Frtions o regulr shpes C Equl rtions D Simpliying rtions E Frtions o quntities F Compring rtion sizes G Improper rtions nd mixed numers 08 FRACTIONS (Chpter
More informationKEY SKILLS INFORMATION TECHNOLOGY Level 3. Question Paper. 29 January 9 February 2001
KEY SKILLS INFORMATION TECHNOLOGY Level 3 Question Pper 29 Jnury 9 Ferury 2001 WHAT YOU NEED This Question Pper An Answer Booklet Aess to omputer, softwre nd printer You my use ilingul ditionry Do NOT
More information0.1 Basic Set Theory and Interval Notation
0.1 Bsic Set Theory nd Intervl Nottion 3 0.1 Bsic Set Theory nd Intervl Nottion 0.1.1 Some Bsic Set Theory Notions Like ll good Mth ooks, we egin with definition. Definition 0.1. A set is well-defined
More informationP.3 Polynomials and Factoring. P.3 an 1. Polynomial STUDY TIP. Example 1 Writing Polynomials in Standard Form. What you should learn
33337_0P03.qp 2/27/06 24 9:3 AM Chpter P Pge 24 Prerequisites P.3 Polynomils nd Fctoring Wht you should lern Polynomils An lgeric epression is collection of vriles nd rel numers. The most common type of
More informationGeometry 7-1 Geometric Mean and the Pythagorean Theorem
Geometry 7-1 Geometric Men nd the Pythgoren Theorem. Geometric Men 1. Def: The geometric men etween two positive numers nd is the positive numer x where: = x. x Ex 1: Find the geometric men etween the
More informationReview guide for the final exam in Math 233
Review guide for the finl exm in Mth 33 1 Bsic mteril. This review includes the reminder of the mteril for mth 33. The finl exm will be cumultive exm with mny of the problems coming from the mteril covered
More informationLINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES
LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES DAVID WEBB CONTENTS Liner trnsformtions 2 The representing mtrix of liner trnsformtion 3 3 An ppliction: reflections in the plne 6 4 The lgebr of
More informationRadius of the Earth - Radii Used in Geodesy James R. Clynch Naval Postgraduate School, 2002
dius of the Erth - dii Used in Geodesy Jmes. Clynh vl Postgrdute Shool, 00 I. Three dii of Erth nd Their Use There re three rdii tht ome into use in geodesy. These re funtion of ltitude in the ellipsoidl
More informationBinary Representation of Numbers Autar Kaw
Binry Representtion of Numbers Autr Kw After reding this chpter, you should be ble to: 1. convert bse- rel number to its binry representtion,. convert binry number to n equivlent bse- number. In everydy
More informationand thus, they are similar. If k = 3 then the Jordan form of both matrices is
Homework ssignment 11 Section 7. pp. 249-25 Exercise 1. Let N 1 nd N 2 be nilpotent mtrices over the field F. Prove tht N 1 nd N 2 re similr if nd only if they hve the sme miniml polynomil. Solution: If
More informationIntegration by Substitution
Integrtion by Substitution Dr. Philippe B. Lvl Kennesw Stte University August, 8 Abstrct This hndout contins mteril on very importnt integrtion method clled integrtion by substitution. Substitution is
More informationOr more simply put, when adding or subtracting quantities, their uncertainties add.
Propgtion of Uncertint through Mthemticl Opertions Since the untit of interest in n eperiment is rrel otined mesuring tht untit directl, we must understnd how error propgtes when mthemticl opertions re
More informationInter-domain Routing
COMP 631: COMPUTER NETWORKS Inter-domin Routing Jsleen Kur Fll 2014 1 Internet-sle Routing: Approhes DV nd link-stte protools do not sle to glol Internet How to mke routing slle? Exploit the notion of
More informationSection 5.2, Commands for Configuring ISDN Protocols. Section 5.3, Configuring ISDN Signaling. Section 5.4, Configuring ISDN LAPD and Call Control
Chpter 5 Configurtion of ISDN Protocols This chpter provides instructions for configuring the ISDN protocols in the SP201 for signling conversion. Use the sections tht reflect the softwre you re configuring.
More informationMathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100
hsn.uk.net Higher Mthemtics UNIT 3 OUTCOME 1 Vectors Contents Vectors 18 1 Vectors nd Sclrs 18 Components 18 3 Mgnitude 130 4 Equl Vectors 131 5 Addition nd Subtrction of Vectors 13 6 Multipliction by
More information5.6 POSITIVE INTEGRAL EXPONENTS
54 (5 ) Chpter 5 Polynoils nd Eponents 5.6 POSITIVE INTEGRAL EXPONENTS In this section The product rule for positive integrl eponents ws presented in Section 5., nd the quotient rule ws presented in Section
More informationStart Here. Quick Setup Guide. the machine and check the components. NOTE Not all models are available in all countries.
Quik Setup Guide Strt Here HL-3140CW / HL-3150CDN HL-3150CDW / HL-3170CDW Thnk you for hoosing Brother, your support is importnt to us nd we vlue your usiness. Your Brother produt is engineered nd mnuftured
More informationMATH PLACEMENT REVIEW GUIDE
MATH PLACEMENT REVIEW GUIDE This guie is intene s fous for your review efore tking the plement test. The questions presente here my not e on the plement test. Although si skills lultor is provie for your
More information1.2 The Integers and Rational Numbers
.2. THE INTEGERS AND RATIONAL NUMBERS.2 The Integers n Rtionl Numers The elements of the set of integers: consist of three types of numers: Z {..., 5, 4, 3, 2,, 0,, 2, 3, 4, 5,...} I. The (positive) nturl
More informationWelch Allyn CardioPerfect Workstation Installation Guide
Welch Allyn CrdioPerfect Worksttion Instlltion Guide INSTALLING CARDIOPERFECT WORKSTATION SOFTWARE & ACCESSORIES ON A SINGLE PC For softwre version 1.6.5 or lter For network instlltion, plese refer to
More informationMath 135 Circles and Completing the Square Examples
Mth 135 Circles nd Completing the Squre Exmples A perfect squre is number such tht = b 2 for some rel number b. Some exmples of perfect squres re 4 = 2 2, 16 = 4 2, 169 = 13 2. We wish to hve method for
More informationp-q Theory Power Components Calculations
ISIE 23 - IEEE Interntionl Symposium on Industril Eletronis Rio de Jneiro, Brsil, 9-11 Junho de 23, ISBN: -783-7912-8 p-q Theory Power Components Clultions João L. Afonso, Memer, IEEE, M. J. Sepúlved Freits,
More informationPhysics 43 Homework Set 9 Chapter 40 Key
Physics 43 Homework Set 9 Chpter 4 Key. The wve function for n electron tht is confined to x nm is. Find the normliztion constnt. b. Wht is the probbility of finding the electron in. nm-wide region t x
More informationWeek 11 - Inductance
Week - Inductnce November 6, 202 Exercise.: Discussion Questions ) A trnsformer consists bsiclly of two coils in close proximity but not in electricl contct. A current in one coil mgneticlly induces n
More informationHow To Balance Power In A Distribution System
NTERNATONA JOURNA OF ENERG, ssue 3, ol., 7 A dynmilly S bsed ompt ontrol lgorithm for lod blning in distribution systems A. Kzemi, A. Mordi Koohi nd R. Rezeipour Abstrt An lgorithm for pplying fixed pitor-thyristorontrolled
More informationGENERAL OPERATING PRINCIPLES
KEYSECUREPC USER MANUAL N.B.: PRIOR TO READING THIS MANUAL, YOU ARE ADVISED TO READ THE FOLLOWING MANUAL: GENERAL OPERATING PRINCIPLES Der Customer, KeySeurePC is n innovtive prout tht uses ptente tehnology:
More informationTreatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.
The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only
More informationUse Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.
Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd
More informationEnterprise Digital Signage Create a New Sign
Enterprise Digitl Signge Crete New Sign Intended Audiene: Content dministrtors of Enterprise Digitl Signge inluding stff with remote ess to sign.pitt.edu nd the Content Mnger softwre pplition for their
More informationHelicopter Theme and Variations
Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the
More informationDlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report
DlNBVRGH + + THE CITY OF EDINBURGH COUNCIL Sickness Absence Monitoring Report Executive of the Council 8fh My 4 I.I...3 Purpose of report This report quntifies the mount of working time lost s result of
More informationIntegration. 148 Chapter 7 Integration
48 Chpter 7 Integrtion 7 Integrtion t ech, by supposing tht during ech tenth of second the object is going t constnt speed Since the object initilly hs speed, we gin suppose it mintins this speed, but
More informationStart Here. Quick Setup Guide. the machine and check the components DCP-9020CDW
Quik Setup Guide Strt Here DCP-9020CDW Plese red the Produt Sfety Guide first, then red this Quik Setup Guide for the orret setup nd instlltion proedure. To view the Quik Setup Guide in other lnguges,
More informationInterior and exterior angles add up to 180. Level 5 exterior angle
22 ngles n proof Ientify interior n exterior ngles in tringles n qurilterls lulte interior n exterior ngles of tringles n qurilterls Unerstn the ie of proof Reognise the ifferene etween onventions, efinitions
More information9 CONTINUOUS DISTRIBUTIONS
9 CONTINUOUS DISTIBUTIONS A rndom vrible whose vlue my fll nywhere in rnge of vlues is continuous rndom vrible nd will be ssocited with some continuous distribution. Continuous distributions re to discrete
More informationCalculating Principal Strains using a Rectangular Strain Gage Rosette
Clulting Prinipl Strins using Retngulr Strin Gge Rosette Strin gge rosettes re used often in engineering prtie to determine strin sttes t speifi points on struture. Figure illustrtes three ommonly used
More informationPHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS
PHY 222 Lb 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS Nme: Prtners: INTRODUCTION Before coming to lb, plese red this pcket nd do the prelb on pge 13 of this hndout. From previous experiments,
More informationOxCORT v4 Quick Guide Revision Class Reports
OxCORT v4 Quik Guie Revision Clss Reports This quik guie is suitble for the following roles: Tutor This quik guie reltes to the following menu options: Crete Revision Clss Reports pg 1 Crete Revision Clss
More informationSE3BB4: Software Design III Concurrent System Design. Sample Solutions to Assignment 1
SE3BB4: Softwre Design III Conurrent System Design Winter 2011 Smple Solutions to Assignment 1 Eh question is worth 10pts. Totl of this ssignment is 70pts. Eh ssignment is worth 9%. If you think your solution
More informationIf two triangles are perspective from a point, then they are also perspective from a line.
Mth 487 hter 4 Prtie Prolem Solutions 1. Give the definition of eh of the following terms: () omlete qudrngle omlete qudrngle is set of four oints, no three of whih re olliner, nd the six lines inident
More information