Chabot College Physics Lab RC Circuits Scott Hildreth
|
|
- Joy Malone
- 7 years ago
- Views:
Transcription
1 Chabo College Physics Lab Circuis Sco Hildreh Goals: Coninue o advance your undersanding of circuis, measuring resisances, currens, and volages across muliple componens. Exend your skills in making breadboard connecions of elecrical componens, racing connecion errors, diagnosing problems, and resolving hem logically. Verify relaionships beween volage, curren, capaciance, and ime for charging and discharging circuis in series and parallel configuraions. Background: By now you should be comforable making connecions on a circui board, and measuring curren and volage digially using he Vernier equipmen and sandalone mulimeers. This lab aciviy will challenge you o verify he equaions for charging and discharging capaciors in simple DC circui arrangemens. As wih he previous lab, you will: a) Theoreically calculae he rae of charging and discharging simple single, series, and parallel capaciors in an circui, using 10 resisors, a 9V baery, and 0.1 Farad capaciors. b) Consruc models of hese circuis using he PhET Circui Consrucion Ki online, and es your hypoheses abou he currens and volages using his model. c) Experimenally use he Vernier and Pasco circui boards o acually build an circui, and measure he acual values wih he mulimeer, compuer, and oscilloscope. Wrie up: This experimenal wrie up should follow he formal physics laboraory repor forma (available online a hp:// ). Make sure ha you include he roles ha each member of your eam played in he aciviy, clearly labeled picures, daa ables in your appendix, and answers o he QUESTIONS you ll find wihin. The lab repor is due Thursday or Friday, 7/8 April 2016 MATERIALS Compuer running Logger Pro sofware LabPro inerface Vernier Curren & Volage Probe Sysem Addiional Vernier Volage Probes Oscilloscope (opional) 6-8 ses of alligaor clip wires Baeries adjusable low-volage DC power supply Vernier Circui Board Digial Mulimeer w/ (2) volage probes
2 BACKGROUND The charge q on a capacior s plae is proporional o he poenial difference V across he capacior: q V, C where C is he capaciance, measured in he uni of he farad, F, (1 farad = 1 coulomb/vol). If a capacior of capaciance C (in farads), iniially uncharged, is conneced across a resisor R (in ohms) o a poenial V 0 (vols), a ime-dependen curren will flow according o Ohm s law. This siuaion is shown by he (resisor-capacior) circui below when he swich o he baery is closed: R Red C Black Figure 1 As he curren flows, he charge q on he capacior builds up over ime, increasing he poenial across he capacior, which in urn reduces he curren. This process creaes an exponenially decreasing curren flowing hrough he resisor. If you measure he volage drop across he resisor, ha volage will decrease in ime, modeled by: Charging Circui Volage across Resisor R = The rae of he decrease is deermined by he produc, known as he ime consan of he circui. A large ime consan means ha he capacior will discharge slowly. Similarly, he Volage across he capacior C builds up exponenially in ime a a rae deermined by he same ime consan, modeled by: V r ( ) 0 Charging Circui Volage across Capacior C = V c ( ) V0 1 e The same ime consan describes he rae of discharging as well as he rae of charging. The relaionships for discharging circuis are similar o hose above, alhough boh he volage drops across he resisor and capacior decreases, and direcion of he curren and he sign of he volage drop will be reversed: Discharging Circui Volage across Resisor R = V r ( ) V e 0 V e Discharging Circui Volage across Capacior C = V c ( ) 0 V e
3 Resisor Volage Capacior Volage Imporan Noe! Record your eam s skeches, equaions, and answers o he quesions below, clearly and nealy, as par of your overall daa for he experimen. If his is done effecively from he sar, you should NOT have o copy hem over for he repor. PART A: THEORETICAL CALCULATIONS OF CIUITS 1. For an circui wih a single capacior of 0.10 Farads, in series wih a single resisor of 10, and a volage source of 9 V, calculae he ime consan for he circui, and develop he charging and discharging equaions for he volage readings across he resisor and capacior. 2. Skech he graphs of Volage vs. Time for he resisor and he capacior, for boh cases of charging and discharging (four skeches in all!) ime ime 3. If you add a second capacior of equivalen value in series wih he firs, how will his affec he raes of charging and discharging? Develop he new charging and discharging equaions for his siuaion. 4. If you add a second capacior of equivalen value in parallel wih he firs, how will his affec he raes of charging and discharging? PART B: BUILD A MODEL OF YOUR CIUIT NETWORK ONLINE 5. Locae, click on, and SAVE he pre-made PhET files Circuis 1/2/3 ono he deskop of your compuer, from my websie (hp:// ) Now locae and run he PhET simulaor Circui Consrucion Ki AC/DC available online a hp://phe.colorado.edu/en/simulaion/circui-consrucion-ki-ac. We ll use his simulaor o model your circuis. In he upper righ corner, click LOAD, and browse your compuer s files o locae he Circui 1 simulaion file. I should look like he image o he righ; you migh have o add he volage chars from he menu, or adjus he locaions of he volage probes across he componens o correcly read he values.
4 6. Charge he capacior by closing he swich on he lef. Run he simulaion, noing he resuling graphs of he volages across he resisor and capacior. Pause a any ime using he pause buon below. Do he graphs mach he expeced heoreical resuls? Esimae he volage value a a specific ime from he graphs (like 1/, he ime consan!), and verify your equaions prediced ha value. Record your resuls. Do his for boh graphs. 7. Discharge he capacior by opening he swich on he lef, and closing he swich on he righ. Run he simulaion, noing he resuling graphs of he volages across he resisor and capacior. Pause a any ime using he pause buon below. Do he graphs mach he expeced heoreical resuls? Esimae he volage value a some specific ime from he graphs, and verify your equaions prediced ha value. Record your resuls. Do his for boh graphs. 8. Now model he siuaion wih wo capaciors in series conneced o he same volage and resisor combinaion. LOAD he Circui 2 simulaion. I should look like he screen picure shown. You may have o reconnec he volmeer char leads. 9. Close he lef hand swich o charge he capaciors. Examine he resuling volage graphs. Do hey mach your heoreical predicions? How does he volage drop across each capacior compare o he volage across he baery? You can add anoher char o monior he volage across he resisor. 10. Discharge he capaciors by opening he lef swich and closing he righ swich. Examine he resuling graphs once more, and verify ha hey mach your heoreical predicions. 11. Does i appear ha placing wo capaciors in a circui wih one pahway for charge increases or decreases he amoun of charge sored? You may need o reurn o he original circui from par I o decide. 12. Now model he siuaion wih wo capaciors in parallel conneced o he same volage and resisor combinaion. LOAD he Circui 3 simulaion. I should look like he screen picure shown. You may have o reconnec he volmeer char leads. Repea seps 9 11 above wih his configuraion, and again verify ha he graphs mach your predicions. Does i appear ha placing wo capaciors in a circui wih muliple pahways for charge increases or decreases he amoun of charge sored?
5 PART C: TEST YOUR MODEL EXPERIMENTALLY 13. Connec he circui as shown in Figure 1 a he sar of he lab wih he 10-F capacior and he 100-k resisor. Record he values of your resisor and capacior in your daa able, as well as any olerance values marked on hem. 14. Connec a Differenial Volage Probe o Channel 1 of he LabPro, as well as across he capacior, wih he red (posiive lead) o he side of he capacior conneced o he resisor. Connec he black lead o he oher side of he capacior. 15. Open he Capacior file in he Physics wih Vernier folder. A graph will be displayed. The verical axis of he graph has poenial scaled from 0 o 4 V. The horizonal axis has ime from 0 o 10 s. 16. Charge he capacior for 30 s or so wih he swich in he posiion as illusraed in Figure 1. You can wach he volage reading a he boom of he screen o see if he poenial is sill increasing. Wai unil he poenial is consan. 17. Click o begin daa collecion. As soon as graphing sars, hrow he swich o is oher posiion o discharge he capacior. Your daa should show a consan value iniially, hen decreasing funcion. 18. To compare your daa o he model, selec only he daa afer he poenial has sared o decrease by dragging across he graph; ha is, omi he consan porion. Click he curve fi ool, and from he funcion selecion box, choose he Naural Exponenial funcion, A*exp( C*x ) + B. Click, and inspec he fi. Click o reurn o he main graph window. 19. Record he value of he fi parameers in your daa able. Noice ha he C used in he curve fi is no he same as he C used o sand for capaciance. Compare he fi equaion o he mahemaical model for a capacior discharge proposed in he inroducion, V ( ) V 0 e 20. How is fi consan C relaed o he ime consan of he circui? 21. Make a skech he graph of poenial vs. ime. Choose Sore Laes Run from he Daa menu o sore your daa. You will need his daa for laer analysis. 22. The capacior is now discharged. To monior he charging process, click. As soon as daa collecion begins, hrow he swich he oher way. Allow he daa collecion o run o compleion. This ime you will compare your daa o he mahemaical model for a capacior charging,
6 V ( ) V0 1 e Selec he daa beginning afer he poenial has sared o increase by dragging across he graph. Click he curve fi ool,, and from he funcion selecion box, choose he Inverse Exponenial funcion, A*(1 exp( C*x)) + B. Click and inspec he fi. Click o reurn o he main graph window. 23. Record he value of he fi parameers in your daa able. Compare he fi equaion o he mahemaical model for a charging capacior. 24. Hide your firs runs by choosing Hide Run Run 1 from he Daa menu. Remove any remaining fi informaion by clicking he gray close box in he floaing boxes. Repea he experimen wih a resisor of lower value. How do you hink his change will affec he way he capacior discharges? Rebuild your circui using he 47-k resisor and repea he seps above. SAMPLE DATA TABLE Fi parameers Resisor Capacior Time consan Trial A B C 1/C R () Discharge 1 Charge 1 Discharge 2 Charge 2 C (F) (s) ANALYSIS 1. In he daa able, calculae he ime consan of he circui used; ha is, he produc of resisance in ohms and capaciance in farads. (Noe ha 1F = 1 s). 2. Calculae and ener in he daa able he inverse of he fi consan C for each rial. Now compare each of hese values o he ime consan of your circui. 3. Noe ha resisors and capaciors are no marked wih heir exac values, bu only approximae values wih a olerance. If here is a discrepancy beween he wo quaniies compared in Quesion 2, can he olerance values explain he difference? 4. Wha was he effec of reducing he resisance of he resisor on he way he capacior discharged? OPTIONAL EXTENSIONS Try differen value resisors and capaciors and see how he capacior discharge curves change. Try wo capaciors in parallel. Predic wha will happen o he ime consan. Repea he discharge measuremen and deermine he ime consan of he new circui using a curve fi. Try wo capaciors in series. Predic wha will happen o he ime consan. Repea he discharge measuremen and deermine he ime consan for he new circui using a curve fi.
CHARGE AND DISCHARGE OF A CAPACITOR
REFERENCES RC Circuis: Elecrical Insrumens: Mos Inroducory Physics exs (e.g. A. Halliday and Resnick, Physics ; M. Sernheim and J. Kane, General Physics.) This Laboraory Manual: Commonly Used Insrumens:
More informationRC (Resistor-Capacitor) Circuits. AP Physics C
(Resisor-Capacior Circuis AP Physics C Circui Iniial Condiions An circui is one where you have a capacior and resisor in he same circui. Suppose we have he following circui: Iniially, he capacior is UNCHARGED
More information9. Capacitor and Resistor Circuits
ElecronicsLab9.nb 1 9. Capacior and Resisor Circuis Inroducion hus far we have consider resisors in various combinaions wih a power supply or baery which provide a consan volage source or direc curren
More informationChapter 7. Response of First-Order RL and RC Circuits
Chaper 7. esponse of Firs-Order L and C Circuis 7.1. The Naural esponse of an L Circui 7.2. The Naural esponse of an C Circui 7.3. The ep esponse of L and C Circuis 7.4. A General oluion for ep and Naural
More informationAcceleration Lab Teacher s Guide
Acceleraion Lab Teacher s Guide Objecives:. Use graphs of disance vs. ime and velociy vs. ime o find acceleraion of a oy car.. Observe he relaionship beween he angle of an inclined plane and he acceleraion
More informationCapacitors and inductors
Capaciors and inducors We coninue wih our analysis of linear circuis by inroducing wo new passive and linear elemens: he capacior and he inducor. All he mehods developed so far for he analysis of linear
More informationInductance and Transient Circuits
Chaper H Inducance and Transien Circuis Blinn College - Physics 2426 - Terry Honan As a consequence of Faraday's law a changing curren hrough one coil induces an EMF in anoher coil; his is known as muual
More information11/6/2013. Chapter 14: Dynamic AD-AS. Introduction. Introduction. Keeping track of time. The model s elements
Inroducion Chaper 14: Dynamic D-S dynamic model of aggregae and aggregae supply gives us more insigh ino how he economy works in he shor run. I is a simplified version of a DSGE model, used in cuing-edge
More informationcooking trajectory boiling water B (t) microwave 0 2 4 6 8 101214161820 time t (mins)
Alligaor egg wih calculus We have a large alligaor egg jus ou of he fridge (1 ) which we need o hea o 9. Now here are wo accepable mehods for heaing alligaor eggs, one is o immerse hem in boiling waer
More informationChapter 2 Kinematics in One Dimension
Chaper Kinemaics in One Dimension Chaper DESCRIBING MOTION:KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings moe how far (disance and displacemen), how fas (speed and elociy), and how
More informationMathematics in Pharmacokinetics What and Why (A second attempt to make it clearer)
Mahemaics in Pharmacokineics Wha and Why (A second aemp o make i clearer) We have used equaions for concenraion () as a funcion of ime (). We will coninue o use hese equaions since he plasma concenraions
More informationDC-DC Boost Converter with Constant Output Voltage for Grid Connected Photovoltaic Application System
DC-DC Boos Converer wih Consan Oupu Volage for Grid Conneced Phoovolaic Applicaion Sysem Pui-Weng Chan, Syafrudin Masri Universii Sains Malaysia E-mail: edmond_chan85@homail.com, syaf@eng.usm.my Absrac
More informationModule 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur
Module 4 Single-phase A circuis ersion EE T, Kharagpur esson 5 Soluion of urren in A Series and Parallel ircuis ersion EE T, Kharagpur n he las lesson, wo poins were described:. How o solve for he impedance,
More informationThe Transport Equation
The Transpor Equaion Consider a fluid, flowing wih velociy, V, in a hin sraigh ube whose cross secion will be denoed by A. Suppose he fluid conains a conaminan whose concenraion a posiion a ime will be
More informationChapter 8: Regression with Lagged Explanatory Variables
Chaper 8: Regression wih Lagged Explanaory Variables Time series daa: Y for =1,..,T End goal: Regression model relaing a dependen variable o explanaory variables. Wih ime series new issues arise: 1. One
More informationMaking Use of Gate Charge Information in MOSFET and IGBT Data Sheets
Making Use of ae Charge Informaion in MOSFET and IBT Daa Shees Ralph McArhur Senior Applicaions Engineer Advanced Power Technology 405 S.W. Columbia Sree Bend, Oregon 97702 Power MOSFETs and IBTs have
More informationDifferential Equations and Linear Superposition
Differenial Equaions and Linear Superposiion Basic Idea: Provide soluion in closed form Like Inegraion, no general soluions in closed form Order of equaion: highes derivaive in equaion e.g. dy d dy 2 y
More informationChapter 4: Exponential and Logarithmic Functions
Chaper 4: Eponenial and Logarihmic Funcions Secion 4.1 Eponenial Funcions... 15 Secion 4. Graphs of Eponenial Funcions... 3 Secion 4.3 Logarihmic Funcions... 4 Secion 4.4 Logarihmic Properies... 53 Secion
More informationName: Algebra II Review for Quiz #13 Exponential and Logarithmic Functions including Modeling
Name: Algebra II Review for Quiz #13 Exponenial and Logarihmic Funcions including Modeling TOPICS: -Solving Exponenial Equaions (The Mehod of Common Bases) -Solving Exponenial Equaions (Using Logarihms)
More informationNOTES ON OSCILLOSCOPES
NOTES ON OSCILLOSCOPES NOTES ON... OSCILLOSCOPES... Oscilloscope... Analog and Digial... Analog Oscilloscopes... Cahode Ray Oscilloscope Principles... 5 Elecron Gun... 5 The Deflecion Sysem... 6 Displaying
More informationDuration and Convexity ( ) 20 = Bond B has a maturity of 5 years and also has a required rate of return of 10%. Its price is $613.
Graduae School of Business Adminisraion Universiy of Virginia UVA-F-38 Duraion and Convexiy he price of a bond is a funcion of he promised paymens and he marke required rae of reurn. Since he promised
More informationPermutations and Combinations
Permuaions and Combinaions Combinaorics Copyrigh Sandards 006, Tes - ANSWERS Barry Mabillard. 0 www.mah0s.com 1. Deermine he middle erm in he expansion of ( a b) To ge he k-value for he middle erm, divide
More informationChapter 2 Problems. 3600s = 25m / s d = s t = 25m / s 0.5s = 12.5m. Δx = x(4) x(0) =12m 0m =12m
Chaper 2 Problems 2.1 During a hard sneeze, your eyes migh shu for 0.5s. If you are driving a car a 90km/h during such a sneeze, how far does he car move during ha ime s = 90km 1000m h 1km 1h 3600s = 25m
More informationOPERATION MANUAL. Indoor unit for air to water heat pump system and options EKHBRD011ABV1 EKHBRD014ABV1 EKHBRD016ABV1
OPERAION MANUAL Indoor uni for air o waer hea pump sysem and opions EKHBRD011ABV1 EKHBRD014ABV1 EKHBRD016ABV1 EKHBRD011ABY1 EKHBRD014ABY1 EKHBRD016ABY1 EKHBRD011ACV1 EKHBRD014ACV1 EKHBRD016ACV1 EKHBRD011ACY1
More informationAP Calculus BC 2010 Scoring Guidelines
AP Calculus BC Scoring Guidelines The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy. Founded in, he College Board
More informationµ r of the ferrite amounts to 1000...4000. It should be noted that the magnetic length of the + δ
Page 9 Design of Inducors and High Frequency Transformers Inducors sore energy, ransformers ransfer energy. This is he prime difference. The magneic cores are significanly differen for inducors and high
More informationSignal Processing and Linear Systems I
Sanford Universiy Summer 214-215 Signal Processing and Linear Sysems I Lecure 5: Time Domain Analysis of Coninuous Time Sysems June 3, 215 EE12A:Signal Processing and Linear Sysems I; Summer 14-15, Gibbons
More informationFull-wave rectification, bulk capacitor calculations Chris Basso January 2009
ull-wave recificaion, bulk capacior calculaions Chris Basso January 9 This shor paper shows how o calculae he bulk capacior value based on ripple specificaions and evaluae he rms curren ha crosses i. oal
More informationModule 3. R-L & R-C Transients. Version 2 EE IIT, Kharagpur
Module 3 - & -C Transiens esson 0 Sudy of DC ransiens in - and -C circuis Objecives Definiion of inducance and coninuiy condiion for inducors. To undersand he rise or fall of curren in a simple series
More informationAstable multivibrator using the 555 IC.(10)
Visi hp://elecronicsclub.cjb.ne for more resources THE 555 IC TIMER The 555 IC TIMER.(2) Monosable mulivibraor using he 555 IC imer...() Design Example 1 wih Mulisim 2001 ools and graphs..(8) Lile descripion
More informationECEN4618: Experiment #1 Timing circuits with the 555 timer
ECEN4618: Experimen #1 Timing circuis wih he 555 imer cæ 1998 Dragan Maksimović Deparmen of Elecrical and Compuer Engineering Universiy of Colorado, Boulder The purpose of his lab assignmen is o examine
More informationPROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE
Profi Tes Modelling in Life Assurance Using Spreadshees PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Erik Alm Peer Millingon 2004 Profi Tes Modelling in Life Assurance Using Spreadshees
More informationAP Calculus AB 2013 Scoring Guidelines
AP Calculus AB 1 Scoring Guidelines The College Board The College Board is a mission-driven no-for-profi organizaion ha connecs sudens o college success and opporuniy. Founded in 19, he College Board was
More informationCointegration: The Engle and Granger approach
Coinegraion: The Engle and Granger approach Inroducion Generally one would find mos of he economic variables o be non-saionary I(1) variables. Hence, any equilibrium heories ha involve hese variables require
More informationMotion Along a Straight Line
Moion Along a Sraigh Line On Sepember 6, 993, Dave Munday, a diesel mechanic by rade, wen over he Canadian edge of Niagara Falls for he second ime, freely falling 48 m o he waer (and rocks) below. On his
More informationNewton s Laws of Motion
Newon s Laws of Moion MS4414 Theoreical Mechanics Firs Law velociy. In he absence of exernal forces, a body moves in a sraigh line wih consan F = 0 = v = cons. Khan Academy Newon I. Second Law body. The
More informationTransient Analysis of First Order RC and RL circuits
Transien Analysis of Firs Order and iruis The irui shown on Figure 1 wih he swih open is haraerized by a pariular operaing ondiion. Sine he swih is open, no urren flows in he irui (i=0) and v=0. The volage
More informationName: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN PHYSICS 2204 FINAL EXAMINATION. June 2009.
Name: Teacher: DO NOT OPEN THE EXMINTION PPER UNTIL YOU RE TOLD BY THE SUPERVISOR TO BEGIN PHYSICS 2204 FINL EXMINTION June 2009 Value: 100% General Insrucions This examinaion consiss of wo pars. Boh pars
More informationPulse-Width Modulation Inverters
SECTION 3.6 INVERTERS 189 Pulse-Widh Modulaion Inverers Pulse-widh modulaion is he process of modifying he widh of he pulses in a pulse rain in direc proporion o a small conrol signal; he greaer he conrol
More informationTrends in TCP/IP Retransmissions and Resets
Trends in TCP/IP Reransmissions and Reses Absrac Concordia Chen, Mrunal Mangrulkar, Naomi Ramos, and Mahaswea Sarkar {cychen, mkulkarn, msarkar,naramos}@cs.ucsd.edu As he Inerne grows larger, measuring
More informationStatistical Analysis with Little s Law. Supplementary Material: More on the Call Center Data. by Song-Hee Kim and Ward Whitt
Saisical Analysis wih Lile s Law Supplemenary Maerial: More on he Call Cener Daa by Song-Hee Kim and Ward Whi Deparmen of Indusrial Engineering and Operaions Research Columbia Universiy, New York, NY 17-99
More informationCAPACITANCE AND INDUCTANCE
CHAPTER 6 CAPACITANCE AND INDUCTANCE THE LEARNING GOALS FOR THIS CHAPTER ARE: Know how o use circui models for inducors and capaciors o calculae volage, curren, and power Be able o calculae sored energy
More informationA Note on Using the Svensson procedure to estimate the risk free rate in corporate valuation
A Noe on Using he Svensson procedure o esimae he risk free rae in corporae valuaion By Sven Arnold, Alexander Lahmann and Bernhard Schwezler Ocober 2011 1. The risk free ineres rae in corporae valuaion
More information1 HALF-LIFE EQUATIONS
R.L. Hanna Page HALF-LIFE EQUATIONS The basic equaion ; he saring poin ; : wrien for ime: x / where fracion of original maerial and / number of half-lives, and / log / o calculae he age (# ears): age (half-life)
More informationWATER MIST FIRE PROTECTION RELIABILITY ANALYSIS
WATER MIST FIRE PROTECTION RELIABILITY ANALYSIS Shuzhen Xu Research Risk and Reliabiliy Area FM Global Norwood, Massachuses 262, USA David Fuller Engineering Sandards FM Global Norwood, Massachuses 262,
More informationAutomatic measurement and detection of GSM interferences
Auomaic measuremen and deecion of GSM inerferences Poor speech qualiy and dropped calls in GSM neworks may be caused by inerferences as a resul of high raffic load. The radio nework analyzers from Rohde
More informationBD FACSuite Software Quick Reference Guide for the Experiment Workflow
BD FACSuie Sofware Quick Reference Guide for he Experimen Workflow This guide conains insrucions for using BD FACSuie sofware wih he BD FACSVerse flow cyomeer using he experimen workflow. Daa can be acquired
More informationAnswer, Key Homework 2 David McIntyre 45123 Mar 25, 2004 1
Answer, Key Homework 2 Daid McInyre 4123 Mar 2, 2004 1 This prin-ou should hae 1 quesions. Muliple-choice quesions may coninue on he ne column or page find all choices before making your selecion. The
More informationMorningstar Investor Return
Morningsar Invesor Reurn Morningsar Mehodology Paper Augus 31, 2010 2010 Morningsar, Inc. All righs reserved. The informaion in his documen is he propery of Morningsar, Inc. Reproducion or ranscripion
More information1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z 1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z
o ffix uden abel ere uden ame chool ame isric ame/ ender emale ale onh ay ear ae of irh an eb ar pr ay un ul ug ep c ov ec as ame irs ame lace he uden abel ere ae uden denifier chool se nly rined in he
More information4. International Parity Conditions
4. Inernaional ariy ondiions 4.1 urchasing ower ariy he urchasing ower ariy ( heory is one of he early heories of exchange rae deerminaion. his heory is based on he concep ha he demand for a counry's currency
More informationRandom Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary
Random Walk in -D Random walks appear in many cones: diffusion is a random walk process undersanding buffering, waiing imes, queuing more generally he heory of sochasic processes gambling choosing he bes
More informationTable of contents Chapter 1 Interest rates and factors Chapter 2 Level annuities Chapter 3 Varying annuities
Table of conens Chaper 1 Ineres raes and facors 1 1.1 Ineres 2 1.2 Simple ineres 4 1.3 Compound ineres 6 1.4 Accumulaed value 10 1.5 Presen value 11 1.6 Rae of discoun 13 1.7 Consan force of ineres 17
More informationGoRA. For more information on genetics and on Rheumatoid Arthritis: Genetics of Rheumatoid Arthritis. Published work referred to in the results:
For more informaion on geneics and on Rheumaoid Arhriis: Published work referred o in he resuls: The geneics revoluion and he assaul on rheumaoid arhriis. A review by Michael Seldin, Crisopher Amos, Ryk
More informationUsefulness of the Forward Curve in Forecasting Oil Prices
Usefulness of he Forward Curve in Forecasing Oil Prices Akira Yanagisawa Leader Energy Demand, Supply and Forecas Analysis Group The Energy Daa and Modelling Cener Summary When people analyse oil prices,
More informationMaking a Faster Cryptanalytic Time-Memory Trade-Off
Making a Faser Crypanalyic Time-Memory Trade-Off Philippe Oechslin Laboraoire de Securié e de Crypographie (LASEC) Ecole Polyechnique Fédérale de Lausanne Faculé I&C, 1015 Lausanne, Swizerland philippe.oechslin@epfl.ch
More informationSignal Rectification
9/3/25 Signal Recificaion.doc / Signal Recificaion n imporan applicaion of juncion diodes is signal recificaion. here are wo ypes of signal recifiers, half-wae and fullwae. Le s firs consider he ideal
More informationAP Calculus AB 2007 Scoring Guidelines
AP Calculus AB 7 Scoring Guidelines The College Board: Connecing Sudens o College Success The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and
More informationProduct Operation and Setup Instructions
A9 Please read and save hese insrucions. Read carefully before aemping o assemble, insall, operae, or mainain he produc described. Proec yourself and ohers by observing all safey informaion. Failure o
More informationNikkei Stock Average Volatility Index Real-time Version Index Guidebook
Nikkei Sock Average Volailiy Index Real-ime Version Index Guidebook Nikkei Inc. Wih he modificaion of he mehodology of he Nikkei Sock Average Volailiy Index as Nikkei Inc. (Nikkei) sars calculaing and
More informationMonotonic, Inrush Current Limited Start-Up for Linear Regulators
Applicaion epor SLA156 March 2004 Monoonic, Inrush urren Limied Sar-Up for Linear egulaors Jeff Falin PMP Porable Producs ABSA he oupu volage of a linear regulaor ends o rise quickly afer i is enabled.
More informationRisk Modelling of Collateralised Lending
Risk Modelling of Collaeralised Lending Dae: 4-11-2008 Number: 8/18 Inroducion This noe explains how i is possible o handle collaeralised lending wihin Risk Conroller. The approach draws on he faciliies
More informationSELF-EVALUATION FOR VIDEO TRACKING SYSTEMS
SELF-EVALUATION FOR VIDEO TRACKING SYSTEMS Hao Wu and Qinfen Zheng Cenre for Auomaion Research Dep. of Elecrical and Compuer Engineering Universiy of Maryland, College Park, MD-20742 {wh2003, qinfen}@cfar.umd.edu
More informationHedging with Forwards and Futures
Hedging wih orwards and uures Hedging in mos cases is sraighforward. You plan o buy 10,000 barrels of oil in six monhs and you wish o eliminae he price risk. If you ake he buy-side of a forward/fuures
More informationCapacity Planning and Performance Benchmark Reference Guide v. 1.8
Environmenal Sysems Research Insiue, Inc., 380 New York S., Redlands, CA 92373-8100 USA TEL 909-793-2853 FAX 909-307-3014 Capaciy Planning and Performance Benchmark Reference Guide v. 1.8 Prepared by:
More informationThe Greek financial crisis: growing imbalances and sovereign spreads. Heather D. Gibson, Stephan G. Hall and George S. Tavlas
The Greek financial crisis: growing imbalances and sovereign spreads Heaher D. Gibson, Sephan G. Hall and George S. Tavlas The enry The enry of Greece ino he Eurozone in 2001 produced a dividend in he
More informationUSE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES
USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES Mehme Nuri GÖMLEKSİZ Absrac Using educaion echnology in classes helps eachers realize a beer and more effecive learning. In his sudy 150 English eachers were
More information4 Convolution. Recommended Problems. x2[n] 1 2[n]
4 Convoluion Recommended Problems P4.1 This problem is a simple example of he use of superposiion. Suppose ha a discree-ime linear sysem has oupus y[n] for he given inpus x[n] as shown in Figure P4.1-1.
More informationThe naive method discussed in Lecture 1 uses the most recent observations to forecast future values. That is, Y ˆ t + 1
Business Condiions & Forecasing Exponenial Smoohing LECTURE 2 MOVING AVERAGES AND EXPONENTIAL SMOOTHING OVERVIEW This lecure inroduces ime-series smoohing forecasing mehods. Various models are discussed,
More informationSupplementary Appendix for Depression Babies: Do Macroeconomic Experiences Affect Risk-Taking?
Supplemenary Appendix for Depression Babies: Do Macroeconomic Experiences Affec Risk-Taking? Ulrike Malmendier UC Berkeley and NBER Sefan Nagel Sanford Universiy and NBER Sepember 2009 A. Deails on SCF
More informationThe Torsion of Thin, Open Sections
EM 424: Torsion of hin secions 26 The Torsion of Thin, Open Secions The resuls we obained for he orsion of a hin recangle can also be used be used, wih some qualificaions, for oher hin open secions such
More informationSwitching Regulator IC series Capacitor Calculation for Buck converter IC
Swiching Regulaor IC series Capacior Calculaion for Buck converer IC No.14027ECY02 This applicaion noe explains he calculaion of exernal capacior value for buck converer IC circui. Buck converer IIN IDD
More informationWorking Paper No. 482. Net Intergenerational Transfers from an Increase in Social Security Benefits
Working Paper No. 482 Ne Inergeneraional Transfers from an Increase in Social Securiy Benefis By Li Gan Texas A&M and NBER Guan Gong Shanghai Universiy of Finance and Economics Michael Hurd RAND Corporaion
More informationPI4ULS5V202 2-Bit Bi-directional Level Shifter with Automatic Sensing & Ultra Tiny Package
Feaures can be Less han, Greaer han or Equal o V CCB 1.2V o 5.5V on A Por and 1.2V o 5.5V on B Por High Speed wih 20 Mb/s Daa Rae for push-pull applicaion High Speed wih 2 Mb/s Daa Rae for open-drain applicaion
More informationTSG-RAN Working Group 1 (Radio Layer 1) meeting #3 Nynashamn, Sweden 22 nd 26 th March 1999
TSG-RAN Working Group 1 (Radio Layer 1) meeing #3 Nynashamn, Sweden 22 nd 26 h March 1999 RAN TSGW1#3(99)196 Agenda Iem: 9.1 Source: Tile: Documen for: Moorola Macro-diversiy for he PRACH Discussion/Decision
More informationSteps for D.C Analysis of MOSFET Circuits
10/22/2004 Seps for DC Analysis of MOSFET Circuis.doc 1/7 Seps for D.C Analysis of MOSFET Circuis To analyze MOSFET circui wih D.C. sources, we mus follow hese five seps: 1. ASSUME an operaing mode 2.
More informationA Curriculum Module for AP Calculus BC Curriculum Module
Vecors: A Curriculum Module for AP Calculus BC 00 Curriculum Module The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy.
More informationVector Autoregressions (VARs): Operational Perspectives
Vecor Auoregressions (VARs): Operaional Perspecives Primary Source: Sock, James H., and Mark W. Wason, Vecor Auoregressions, Journal of Economic Perspecives, Vol. 15 No. 4 (Fall 2001), 101-115. Macroeconomericians
More informationAP Calculus AB 2010 Scoring Guidelines
AP Calculus AB 1 Scoring Guidelines The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy. Founded in 1, he College
More informationModule 3 Design for Strength. Version 2 ME, IIT Kharagpur
Module 3 Design for Srengh Lesson 2 Sress Concenraion Insrucional Objecives A he end of his lesson, he sudens should be able o undersand Sress concenraion and he facors responsible. Deerminaion of sress
More informationTask is a schedulable entity, i.e., a thread
Real-Time Scheduling Sysem Model Task is a schedulable eniy, i.e., a hread Time consrains of periodic ask T: - s: saring poin - e: processing ime of T - d: deadline of T - p: period of T Periodic ask T
More informationWireless Survey Tools User Guide
VST5000W5000W Wireless Survey Tools User Guide June 21 h, 2011 028-0297_R4_MN VWG-SURVEY-E04 Produc Overview Index Produc Overview 2 Zigee Mesh Nework Overview 2 asic Iniial Design nd Deploymen Consideraion
More information1. y 5y + 6y = 2e t Solution: Characteristic equation is r 2 5r +6 = 0, therefore r 1 = 2, r 2 = 3, and y 1 (t) = e 2t,
Homework6 Soluions.7 In Problem hrough 4 use he mehod of variaion of parameers o find a paricular soluion of he given differenial equaion. Then check your answer by using he mehod of undeermined coeffiens..
More informationImprovement of a TCP Incast Avoidance Method for Data Center Networks
Improvemen of a Incas Avoidance Mehod for Daa Cener Neworks Kazuoshi Kajia, Shigeyuki Osada, Yukinobu Fukushima and Tokumi Yokohira The Graduae School of Naural Science and Technology, Okayama Universiy
More informationIdealistic characteristics of Islamic Azad University masters - Islamshahr Branch from Students Perspective
Available online a www.pelagiaresearchlibrary.com European Journal Experimenal Biology, 202, 2 (5):88789 ISSN: 2248 925 CODEN (USA): EJEBAU Idealisic characerisics Islamic Azad Universiy masers Islamshahr
More informationInnovation + Quality. Product range Valves and controls for cooling systems
Innovaion + Qualiy Produc range Valves and conrols for cooling sysems Cooling sysems Chilled ceiling sysems make up a growing share in he cooling secor for office buildings. Wih due consideraion o some
More informationVoltage level shifting
rek Applicaion Noe Number 1 r. Maciej A. Noras Absrac A brief descripion of volage shifing circuis. 1 Inroducion In applicaions requiring a unipolar A volage signal, he signal may be delivered from a bi-polar
More informationChapter 1.6 Financial Management
Chaper 1.6 Financial Managemen Par I: Objecive ype quesions and answers 1. Simple pay back period is equal o: a) Raio of Firs cos/ne yearly savings b) Raio of Annual gross cash flow/capial cos n c) = (1
More informationLecture 2: Telegrapher Equations For Transmission Lines. Power Flow.
Whies, EE 481 Lecure 2 Page 1 of 13 Lecure 2: Telegraher Equaions For Transmission Lines. Power Flow. Microsri is one mehod for making elecrical connecions in a microwae circui. I is consruced wih a ground
More informationINTEREST RATE FUTURES AND THEIR OPTIONS: SOME PRICING APPROACHES
INTEREST RATE FUTURES AND THEIR OPTIONS: SOME PRICING APPROACHES OPENGAMMA QUANTITATIVE RESEARCH Absrac. Exchange-raded ineres rae fuures and heir opions are described. The fuure opions include hose paying
More information17 Laplace transform. Solving linear ODE with piecewise continuous right hand sides
7 Laplace ransform. Solving linear ODE wih piecewise coninuous righ hand sides In his lecure I will show how o apply he Laplace ransform o he ODE Ly = f wih piecewise coninuous f. Definiion. A funcion
More informationPrincipal components of stock market dynamics. Methodology and applications in brief (to be updated ) Andrei Bouzaev, bouzaev@ya.
Principal componens of sock marke dynamics Mehodology and applicaions in brief o be updaed Andrei Bouzaev, bouzaev@ya.ru Why principal componens are needed Objecives undersand he evidence of more han one
More informationSurprise and Curiosity for Big Data Robotics
Sequenial Decision-Making wih Big Daa: Papers from he AAAI-14 Workshop Surprise and Curiosiy for Big Daa Roboics Adam Whie, Joseph Modayil, Richard S. Suon Reinforcemen Learning and Arificial Inelligence
More informationAppendix A: Area. 1 Find the radius of a circle that has circumference 12 inches.
Appendi A: Area worked-ou s o Odd-Numbered Eercises Do no read hese worked-ou s before aemping o do he eercises ourself. Oherwise ou ma mimic he echniques shown here wihou undersanding he ideas. Bes wa
More informationVST5000W5028W. Wireless Survey Tools User Guide
VST5000W5028W Wireless Survey Tools User Guide ugus 30 h, 2010 Produc Overview Index Produc Overview 2 VYKONSa Wireless Nework Overview 2 asic Iniial Design nd Deploymen Consideraion 3 Sie Survey Overview
More informationReturn Calculation of U.S. Treasury Constant Maturity Indices
Reurn Calculaion of US Treasur Consan Mauri Indices Morningsar Mehodolog Paper Sepeber 30 008 008 Morningsar Inc All righs reserved The inforaion in his docuen is he proper of Morningsar Inc Reproducion
More informationPerformance Center Overview. Performance Center Overview 1
Performance Cener Overview Performance Cener Overview 1 ODJFS Performance Cener ce Cener New Performance Cener Model Performance Cener Projec Meeings Performance Cener Execuive Meeings Performance Cener
More informationGate protection. Current limit. Overvoltage protection. Limit for unclamped ind. loads. Charge pump Level shifter. Rectifier. Open load detection
Smar ighside Power Swich for ndusrial Applicaions Feaures Overload proecion Curren limiaion Shor circui proecion Thermal shudown Overvolage proecion (including load dump) Fas demagneizaion of inducive
More informationOptimal Investment and Consumption Decision of Family with Life Insurance
Opimal Invesmen and Consumpion Decision of Family wih Life Insurance Minsuk Kwak 1 2 Yong Hyun Shin 3 U Jin Choi 4 6h World Congress of he Bachelier Finance Sociey Torono, Canada June 25, 2010 1 Speaker
More information