Observations: With transformers, we need to convert the voltage magnitudes, impedances, currents, etc. repeatedly.
|
|
- Richard Jennings
- 7 years ago
- Views:
Transcription
1 1 ntductin t Pe Unit Calculatins (ECE 459 nte) Obsevatins: With tansfmes, we need t cnvet the vltage magnitudes, impedances, cuents, etc. epeatedly. Questins: Can we bypass these cmplicatins? Answe: By using pe unit calculatins that diffeent vltage s (but the same pwe ) ae used in diffeent tansfme sectins. The cnvesins amng tansfme vltages ae absbed by the elatinships. Thus p.u. epesentatins f system elements (tansfmes, impedances, lads, geneatins, etc.) becme me unifm and the fixed- tap tansfmes disappea fm the p.u. epesentatin. The same situatins apply t wye-delta cicuits, and they will have the same p.u. epesentatin. Again, the cnvesin is absbed int the elatinship. The same f single-phase and theephase epesentatins. Cnside the simple cicuit f Figue 1 in which a lad impedance f L 60 + j70 Ω Ω is cnnected t a vltage suce. The n lad vltage f the suce is E The intenal esistance f the suce is j10 Ω. The ttal impedance f the cicuit is T 60 + j80 Ω. The lad cuent thugh the cicuit is E L 10A j80 T The appaent pwe pduced by the suce is E L ,000A 53 1 j10ω E 1000 L 60+ j70ω Figue 1 Basic Cicuit: Example f p.u. calculatins n this cicuit, we will designate the magnitude f each f these values as the efeence value f that quantity, i.e. the efeence value will be ne unit f that quantity. That is,
2 1000 is equal t ne unit f vltage ( 1000 ) 100 Ω is equal t ne unit f esistance ( 100 Ω) 10 A is equal t ne unit f cuent ( 10 A) 10,000 A is equal t ne unit f pwe ( 10,000 A) These basic units ae called the values. Theefe, the values f u cicuit ae 1000, 100 Ω, 10 A, and 10 ka. Nw we can efe any value f any quantity in the cicuit t these values. F example, the magnitude f the vltage acss the lad is L 9. L E T n tems f u chsen vltage, the lad vltage is the ati f the actual vltage and L 9 the chsen vltage, i.e f the chsen vltage. We say 1000 that the vltage is 0.9 pe unit f vlts. The designatin is 0.9 p.u. (). We can als say that the lad vltage is 9.% f the vltage. imilaly, in tems f u impedance, the lad impedance is L p.u.( Ω). 100 Just like the magnitude f the lad impedance, we can expess any hmic value in tems f the impedance. the pe unit esistance f the lad is R R L p.u.( Ω) X L 70 The pe unit eactance f the lad is X 0.7 p.u.( Ω) 100 Ntice hee that bth, the esistance and the eactance ae cmpaed t impedance. 1 L is the cnjugate f the lad cuent. n this case L 10A + 53
3 3 The pwe dissipated by the esistance is P R W. Expessed as pe unit value n u f 10,000 A, the dissipated pwe is P P ,000 p.u. 0.6p.u.(W) The eactive pwe t the lad is Q L X L A (inductance). Expessed as pe unit value n u f 10,000 A, the lad eactive pwe is Q Q L Lp.u 0.7 p.u.(a) (ind) imilaly as in handling the pe unit values f hmic quantities, bth eal pwe and eactive pwe ae cmpaed t the appaent pwe, usually called MA. Nte that the p.u. values ae much me unifm than the iginal values! All values ae nly magnitude. They ae nt assciated with any angle. The pe unit values, hweve, ae phass. The phase angles f the cuents and vltages and the pwe fact f the cicuit ae nt affected by the cnvesin t pe unit values. The pe unit values can be witten as phass, and all calculatins that can be dne with the actual quantities can be als dne with pe unit values. F example, in u cicuit, the pe unit lad impedance and the pe unit lad cuent ae: p.u.( Ω) and 1 53 p.u.(a) L Thus the vltage acss the lad is p.u.() n geneal, the pe unit value is the ati f the actual value and the value f the same quantity. actual value pe unit value value
4 4 Manufactues give impedance f equipment in pecent n wn. The pecent value is the pe unit value multiplied by 100: % p.u. 100%. The expessin wn means that the vltage is the ated vltage f the equipment, and the pwe is the ated appaent pwe (in A) f the equipment. The cuent and the impedance ae calculated fm the vltage and the A: and The pecent impedance is then in Ω in Ω actual % 100% Geneats and Pe Unit ystem A geneat ated 1000 A and 00 has intenal impedance f j10 Ω. Figue Basic Cicuit: Example f p.u. calculatins f geneats The atings f the geneat ae chsen as the values. n this example, 1000 A A Ω 1000 Nte that the magnitude de diffeences ae absbed in the!
5 5 The geneat impedance is stamped n the nameplate tgethe with the the atings. This geneat has impedance f j5%. This means that the pe unit impedance is % j5 p.u. j0.5 p.u. ( Ω) The actual impedance in Ω is actual p.u. j j10 Ω Example: The geneat abve is sht cicuited at its teminals. Find the sht cicuit cuent and the sht cicuit pwe deliveed by the geneat in p.u., in %, and in the actual units. lutin: Figue 3 Example: ht Cicuit n Geneat Teminals sc p.u. E G p.u. p.u. 1 j0.5 j4.0 p.u.(a) sc % sc p.u. 100% j400 % * sc p.u. E G p.u. sc p.u. 1 ( j4) j4.0 p.u. (A) % sc p.u. 100% sc j400 % The actual values calculated fm the pe unit values ae: sc sc sc p.u. sc p.u. j j0.0 A j j4000 A Tansfmes and Pe Unit ystem A tansfme is ated 000 A, 00/400, and has an intenal impedance f j4.0 Ω as seen fm the lw vltage side.
6 6 (a) (b) Figue 4 Basic Cicuit: Example f Pe Unit Calculatins f a Tansfme (a) Tansfme mpedance Refeed t the Lw ltage ide (b) Tansfme mpedance Refeed t the High ltage ide The intenal impedance f the tansfme as seen fm the high vltage side is H 400 L j4.0 j16. 0 Ω 1 00 The ated values f pwe and vltage ae used as the s f the calculatins. t means that the vltage is diffeent n each side f the tansfme. Cmpaisn f the s and the pe unit value n bth sides f the tansfme is in Table 1
7 7 lw vltage side 000 A 00 10A high vltage side 000 A 400 5A p.u. L 0Ω j4.0 0 j0.p.u( Ω) L 80Ω j16 80 j0.p.u( Ω) Table 1 Bases f tansfme lw side and high side Ntice in Table 1 that the tansfme pe unit impedance is the same, egadless f t which side f the tansfme it is efeed. Again, the cnvesin cmplicatins ae absbed int the elatinships. n the tansfme equivalent cicuit the diffeent vltage levels disappea and the tansfme equivalent cicuit is educed t a single impedance: p.u. Figue 5 Equivalent Cicuit f a Tansfme in Pe Unit Analysis Thee Phase ystem and Pe Unit Calculatins n thee phase systems the ttal appaent pwe is given by 3φ 3 LL * L whee LL is the line-t-line vltage and L is the line cuent.
8 8 imilaly, whee 3φ 3 L L L 3φ is the chsen thee phase pwe, usually the ated pwe f the equipment, the chsen pwe used f all system calculatin by the pwe utility LL is the chsen line-t-line vltage, usually the ated vltage f the equipment the nminal vltage level f a pat f the pwe system L is the line cuent, usually calculated fm the pwe and the Nte that vltage. and 3φ 3 1φ ; thus the p.u. epesentatin emains the same! 3φ 31φ and Y Cnnectin in Pe Unit Calculatins L Y Figue Y Cnvesin The values ae elated thugh the same elatinships as the actual quantities: 3 LL LN LN 3 3 L L 3 Y Y The pe unit values f the cnnected impedances and the Y cnnected impedances ae
9 9 p.u. Y p.u. Y Y Fm that it is easy t shw that the pe unit value f the cnnectin is the same as the pe unit value f the Y cnnectin. 3 Y Y p.u. 3Y Y Y p.u. Change f Base When pieces f equipment with vaius diffeent atings ae cnnected t a system, it is necessay t cnvet thei impedances t a pe unit value expessed n the same. The that we ae cnveting fm will be dented by subscipt M, the we ae cnveting t will be dented by subscipt N. The impedance f the s M and N ae, espectively, M M M N N N The pe unit impedances n the s M and N ae, espectively M p.u. M N p.u. N whee is the actual hmic value f the impedance f the equipment. t fllws that M p.u. M N p.u. N ubstituting f the impedances we get
10 10 M p.u. M M N p.u. N N N p.u. M p.u. N M M N Using the MA and k ntatin, N p.u. M p.u. MA MA N M (k (k M N ) ) Accdingly, we can cnclude that the pe unit system has the fllwing advantages: Nmalized values against a have me unifm values in the same system. Thus, it is easie t spt es. F example, 1000% p.u. will tigge a waning and thus is wth lking int f ptential es. Pwe is the same thugh the system; vltage s ae changing accding t the tansfme tun ati. Accdingly, ideal tansfmes tun atis disappea fm the pe unit system, the cnvesin cmplicatins ae absbed by the elatinships. and Y quantities have the same p.u. values in these tw diffeent s; again the cnvesin cmplicatins ae absbed by the elatinships. Thee-phase and single-phase quantities have the same p.u. values in these tw diffeent s; again the cnvesin cmplicatins ae absbed by the elatinships. Abnmal peating cnditins can be easily sptted fm the p.u. values.
11 11 The s f diffeent sectins in the system can be calculated, caefully veified and sted nce f all. When geneatin/lad changes, we nly need t change its pe unit values and calculated the pe unit values accdingly. The cnvesin will becme me eliable. The advantages ae me pnunced f lage system applicatins and systems that have many lad/geneatin changes!
BARTON COLLEGE PRACTICE PLACEMENT TEST. a) 4 b) 4 c) 12 d) 10.5. a) 7a 11 b) a 17 c) a 11 d) 7a 17. a) 14 b) 1 c) 66 d) 81
. Simplify: 0 + 4 (! 8) 4 4 0.. Simplify: (a 4) + (a ) (a+) 7a a 7 a 7a 7. Evaluate the expessin: 4a! 4ab + b, when a = and b = 4 8 4. Fiefightes use the fmula S = 0.P + t cmpute the hizntal ange S in
More informationLED Application Design Guide Using Half-Bridge LLC Resonant Converter for 100W Street Lighting
www.faichildsemi.cm AN-979 LED Alicatin Design Guide Using Half-Bidge LLC Resnant Cnvete f 00W Steet Lighting Intductin This alicatin nte descibes the LED diving system using a half-bidge LLC esnant cnvete
More informationNetwork Theorems - Alternating Current examples - J. R. Lucas
Netwrk Therems - lternating urrent examples - J. R. Lucas n the previus chapter, we have been dealing mainly with direct current resistive circuits in rder t the principles f the varius therems clear.
More informationTimes Table Activities: Multiplication
Tny Attwd, 2012 Times Table Activities: Multiplicatin Times tables can be taught t many children simply as a cncept that is there with n explanatin as t hw r why it is there. And mst children will find
More informationHalf-Bridge LLC Resonant Converter Design Using FSFR-Series Fairchild Power Switch (FPS ) R o V O
www.faichildsemi.cm AN45 HalfBidge LLC esnant Cnvete Design Using FSFSeies Faichild Pwe Switch (FPS Intductin The efft t btain eveinceasing we density f switchedmde we suly has been limited by the size
More information4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first non-zero digit to
. Simplify: 0 4 ( 8) 0 64 ( 8) 0 ( 8) = (Ode of opeations fom left to ight: Paenthesis, Exponents, Multiplication, Division, Addition Subtaction). Simplify: (a 4) + (a ) (a+) = a 4 + a 0 a = a 7. Evaluate
More informationSemipartial (Part) and Partial Correlation
Semipatial (Pat) and Patial Coelation his discussion boows heavily fom Applied Multiple egession/coelation Analysis fo the Behavioal Sciences, by Jacob and Paticia Cohen (975 edition; thee is also an updated
More informationSymmetric polynomials and partitions Eugene Mukhin
Symmetic polynomials and patitions Eugene Mukhin. Symmetic polynomials.. Definition. We will conside polynomials in n vaiables x,..., x n and use the shotcut p(x) instead of p(x,..., x n ). A pemutation
More informationFigure 2. So it is very likely that the Babylonians attributed 60 units to each side of the hexagon. Its resulting perimeter would then be 360!
1. What ae angles? Last time, we looked at how the Geeks intepeted measument of lengths. Howeve, as fascinated as they wee with geomety, thee was a shape that was much moe enticing than any othe : the
More informationGovern mechanics and thermodynamics of systems Control Mass Laws. Propulsion systems generally employ fluid flow
Schl f Aespace Engeeg Cnsevat Equats Gven mechanics an themynamics f systems Cntl Mass Laws mass: can nt ceate esty mass (e.g., neglect nuclea eacts mmentum: Newtn s Law, ma enegy: 1st Law f themynamics,
More information1.3. The Mean Temperature Difference
1.3. The Mean Temperature Difference 1.3.1. The Lgarithmic Mean Temperature Difference 1. Basic Assumptins. In the previus sectin, we bserved that the design equatin culd be slved much easier if we culd
More informationGroup Term Life Insurance: Table I Straddle Testing and Imputed Income for Dependent Life Insurance
An American Benefits Cnsulting White Paper American Benefits Cnsulting, LLC 99 Park Ave, 25 th Flr New Yrk, NY 10016 212 716-3400 http://www.abcsys.cm Grup Term Life Insurance: Table I Straddle Testing
More informationOperational Amplifier Circuits Comparators and Positive Feedback
Operatinal Amplifier Circuits Cmparatrs and Psitive Feedback Cmparatrs: Open Lp Cnfiguratin The basic cmparatr circuit is an p-amp arranged in the pen-lp cnfiguratin as shwn n the circuit f Figure. The
More informationTRAINING GUIDE. Crystal Reports for Work
TRAINING GUIDE Crystal Reprts fr Wrk Crystal Reprts fr Wrk Orders This guide ges ver particular steps and challenges in created reprts fr wrk rders. Mst f the fllwing items can be issues fund in creating
More informationConverting knowledge Into Practice
Conveting knowledge Into Pactice Boke Nightmae srs Tend Ride By Vladimi Ribakov Ceato of Pips Caie 20 of June 2010 2 0 1 0 C o p y i g h t s V l a d i m i R i b a k o v 1 Disclaime and Risk Wanings Tading
More informationUsing the 3M Cloud Library: Kindle Fire
Chse frm nearly 3,000 different ebk titles in the Oak Park Public Library s cllectin, including the latest bestsellers, using yur Kindle Fire and the 3M Clud Library. Please nte: Installatin is a special
More informationMotor Calculations. Calculating Mechanical Power Requirements Torque - Speed Curves Numerical Calculation Sample Calculation Thermal Calculations
Mtr Calculatins Calculating Mechanical Pwer Requirements Trque - Speed Curves Numerical Calculatin Sample Calculatin Thermal Calculatins Calculating Mechanical Pwer Requirements Physically, pwer is defined
More informationTipsheet: Sending Out Mass Emails in ApplyYourself
GEORGETOWN GRADUATE SCHOOL Tipsheet: Sending Out Mass Emails in ApplyYurself In ApplyYurself (AY), it is very simple and easy t send a mass email t all f yur prspects, applicants, r students with applicatins
More informationBiznet GIO Cloud - Build Site to Site VPNWith Cisco Router. Site to Site VPN with Cisco Router
Site t Site VPN with Cisc Ruter Intrductin This dcument is intended t guide yu thrugh the necessary steps t build a site-t-site VPN. Please nte a site-t-site VPN can nly be built frm a VPC therefre fr
More informationChapter 3 Savings, Present Value and Ricardian Equivalence
Chapte 3 Savings, Pesent Value and Ricadian Equivalence Chapte Oveview In the pevious chapte we studied the decision of households to supply hous to the labo maket. This decision was a static decision,
More informationHow To Pay An Invice In A State Of Texas
ACCOUNTS PAYABLE GATEWAY INVOICING GUIDE The Typical Invice Prcess: 1. AP receives & time stamps an invice. 2. AP scans and within 24 hurs an image appears in GW the next business day. 3. 50% f all scanned
More informationComparing Availability of Various Rack Power Redundancy Configurations
Compaing Availability of Vaious Rack Powe Redundancy Configuations By Victo Avela White Pape #48 Executive Summay Tansfe switches and dual-path powe distibution to IT equipment ae used to enhance the availability
More informationPhysics 235 Chapter 5. Chapter 5 Gravitation
Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus
More informationElectric Circuits II. More about Mutual Inductance. Lecture #22
EE 05 Dr. A. Ziduri Electric Circuits II Mre abut Mutual Inductance Lecture # - - EE 05 Dr. A. Ziduri The material t be cvered in this lecture is as fllws: Mutual Inductance in Terms f Self Inductance
More informationBasic Financial Mathematics
Financial Engineeing and Computations Basic Financial Mathematics Dai, Tian-Shy Outline Time Value of Money Annuities Amotization Yields Bonds Time Value of Money PV + n = FV (1 + FV: futue value = PV
More informationCircuit for Balancing Harmonic-Polluted Three-Phase Networks
Electrical Pwer Quality and Utilisatin, Jurnal Vl. XVI, N. 1, 2013 Circuit fr Balancing Harmnic-Plluted Three-Phase Netwrks Mhamed M. Saied Electrical Engineering Department, Cllege f Engineering and Petrleum,
More informationCHAPTER 10 Aggregate Demand I
CHAPTR 10 Aggegate Demand I Questions fo Review 1. The Keynesian coss tells us that fiscal policy has a multiplied effect on income. The eason is that accoding to the consumption function, highe income
More informationVoltage ( = Electric Potential )
V-1 Voltage ( = Electic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage is
More informationRemote Desktop Tutorial. By: Virginia Ginny Morris
Remte Desktp Tutrial By: Virginia Ginny Mrris 2008 Remte Desktp Tutrial Virginia Ginny Mrris Page 2 Scpe: The fllwing manual shuld accmpany my Remte Desktp Tutrial vide psted n my website http://www.ginnymrris.cm
More informationefusion Table of Contents
efusin Cst Centers, Partner Funding, VAT/GST and ERP Link Table f Cntents Cst Centers... 2 Admin Setup... 2 Cst Center Step in Create Prgram... 2 Allcatin Types... 3 Assciate Payments with Cst Centers...
More informationVector Calculus: Are you ready? Vectors in 2D and 3D Space: Review
Vecto Calculus: Ae you eady? Vectos in D and 3D Space: Review Pupose: Make cetain that you can define, and use in context, vecto tems, concepts and fomulas listed below: Section 7.-7. find the vecto defined
More informationGED MATH STUDY GUIDE. Last revision July 15, 2011
GED MATH STUDY GUIDE Last revisin July 15, 2011 General Instructins If a student demnstrates that he r she is knwledgeable n a certain lessn r subject, yu can have them d every ther prblem instead f every
More informationU. S. Department of Housing and Urban Development Washington, D.C. 20410-8000. December 20, 2000
U. S. Department f Husing and Urban Develpment Washingtn, D.C. 20410-8000 December 20, 2000 OFFICE OF THE ASSISTANT SECRETARY FOR HOUSING-FEDERAL HOUSING COMMISSIONER MORTGAGEE LETTER 00-46 TO: ALL APPROVED
More informationSOLUTIONS ELECTRICAL ENGINEERING (EE) PRACTICE PROBLEMS FOR TECHNICAL MAJORS
SOUTIONS EECTRICA ENGINEERING (EE) PRACTICE PROBEMS FOR TECHNICA MAJORS Nte: The text entitled Applied Engineering Principles Manual is used as the reference fr the questins and prblems belw. Althugh nly
More information2 r2 θ = r2 t. (3.59) The equal area law is the statement that the term in parentheses,
3.4. KEPLER S LAWS 145 3.4 Keple s laws You ae familia with the idea that one can solve some mechanics poblems using only consevation of enegy and (linea) momentum. Thus, some of what we see as objects
More informationUsing PayPal Website Payments Pro UK with ProductCart
Using PayPal Website Payments Pr UK with PrductCart Overview... 2 Abut PayPal Website Payments Pr & Express Checkut... 2 What is Website Payments Pr?... 2 Website Payments Pr and Website Payments Standard...
More informationGetting started with Android
Getting started with Andrid Befre we begin, there is a prerequisite, which is t plug the Andrid device int yur cmputer, and lad the drivers fr the OS. In writing this article, I was using Windws XP, 7
More informationRogers Prepaid Rocket Mobile Internet Stick Launches Aug 4 th 2010
Prepaid Rcket Mbile Internet Stick Rgers Prepaid Rcket Mbile Internet Stick Launches Aug 4 th 2010 The new prepaid Rcket stick allws custmers t have Rgers mbile internet access frm their laptp with NO
More informationNew York University Computer Science Department Courant Institute of Mathematical Sciences
New Yrk University Cmputer Science Department Curant Institute f Mathematical Sciences Curse Title: Data Cmmunicatin & Netwrks Curse Number:CSCI-GA.2662-00 Instructr: Jean-Claude Franchitti Sessin: 2 Assignment
More informationThe Gibbs Free Energy and Cell Voltage
The Gibbs Free Energy and Cell Vltage When an amunt f charge, Q, mves thrugh a ptential difference, E w = - Q E b/c wrk dne by the system E > 0 fr galvanic (vltaic) cells Recall, G = H TS = E + PV TS Fr
More informationDesign of Wind Energy System on the Building Tower Applications
ISSN(Online): 39-8753 ISSN (Pint) :347-67 (An ISO 397: 7 Cetified Oganization) Vol. 4, Issue, Febuay 5 Design of Wind Enegy System on the Building owe Applications D.Anusha, L V Suesh Kuma, G.V. Nagesh
More informationThe LCOE is defined as the energy price ($ per unit of energy output) for which the Net Present Value of the investment is zero.
Poject Decision Metics: Levelized Cost of Enegy (LCOE) Let s etun to ou wind powe and natual gas powe plant example fom ealie in this lesson. Suppose that both powe plants wee selling electicity into the
More informationComparing Availability of Various Rack Power Redundancy Configurations
Compaing Availability of Vaious Rack Powe Redundancy Configuations White Pape 48 Revision by Victo Avela > Executive summay Tansfe switches and dual-path powe distibution to IT equipment ae used to enhance
More informationIntroduction to Fluid Mechanics
Chapte 1 1 1.6. Solved Examples Example 1.1 Dimensions and Units A body weighs 1 Ibf when exposed to a standad eath gavity g = 3.174 ft/s. (a) What is its mass in kg? (b) What will the weight of this body
More informationMultiple Choice (10 points each) Identify the letter of the choice that best completes the statement or answers the question.
General Chemistry II Exam 1 (175 pints) (Answer Key) 1A Name Multiple Chice (10 pints each) Identify the letter f the chice that best cmpletes the statement r answers the questin. E 1. Fr a certain prcess
More informationSELF-INDUCTANCE AND INDUCTORS
MISN-0-144 SELF-INDUCTANCE AND INDUCTORS SELF-INDUCTANCE AND INDUCTORS by Pete Signell Michigan State Univesity 1. Intoduction.............................................. 1 A 2. Self-Inductance L.........................................
More informationHow To Set Up An Aut Debit On A Verifne Credit Card On A Pc Or Macbook (For A Credit Card) On A Macbook Or Macromusa (For An Installment Billing) On An Iphone Or Ipad
Tpic Dc - ARMY Aut-Debit Setup Using MX830 Updated July 2012 SYSTEM SETUP CHECKLIST: (See details belw) 1. Upgrade t 10.1s r Greater and Lad Patch Files sa0445x and sa0399 2. Obtain Lcal/Regin Cmmand Apprval
More informationGetting Your Fingers In On the Action
Rry Garfrth Getting Yur Fingers In On the Actin Once yu are able t strum with yur fingers, yu can begin fingerpicking! The first task is t learn yur hand psitin and t learn which fingers are used n which
More informationHigh Speed Internet Services
Cnventin Center High Speed Internet Services Wired high-speed Internet access inside a meeting rm, fyer r ther cmmn area: $550 fr the first IP address/device per meeting rm/lcatin, ONE TIME charge fr the
More informationCoordinate Systems L. M. Kalnins, March 2009
Coodinate Sstems L. M. Kalnins, Mach 2009 Pupose of a Coodinate Sstem The pupose of a coodinate sstem is to uniquel detemine the position of an object o data point in space. B space we ma liteall mean
More information(Ch. 22.5) 2. What is the magnitude (in pc) of a point charge whose electric field 50 cm away has a magnitude of 2V/m?
Em I Solutions PHY049 Summe 0 (Ch..5). Two smll, positively chged sphees hve combined chge of 50 μc. If ech sphee is epelled fom the othe by n electosttic foce of N when the sphees e.0 m pt, wht is the
More informationYIELD TO MATURITY ACCRUED INTEREST QUOTED PRICE INVOICE PRICE
YIELD TO MATURITY ACCRUED INTEREST QUOTED PRICE INVOICE PRICE Septembe 1999 Quoted Rate Teasuy Bills [Called Banke's Discount Rate] d = [ P 1 - P 1 P 0 ] * 360 [ N ] d = Bankes discount yield P 1 = face
More informationNote: The designation of a Roommate is determined from the Occupants table. Roommate checkbox must be checked.
MultiSite Feature: Renters Insurance Versin 2 with Rmmates Renter s Insurance infrmatin can be tracked n each resident and rmmate, including insurance histry. Infrmatin can be edited in the Renters Insurance
More informationApplication Advisories for Data Integrator for Non- EDI location
Applicatin Advisries fr Data Integratr fr Nn- EDI lcatin It is a standalne Windws based applicatin that will be installed at every Cmmissinerate. Applicatin will be used fr filling Bill f Entry and Shipping
More informationLicensing Windows Server 2012 R2 for use with virtualization technologies
Vlume Licensing brief Licensing Windws Server 2012 R2 fr use with virtualizatin technlgies (VMware ESX/ESXi, Micrsft System Center 2012 R2 Virtual Machine Manager, and Parallels Virtuzz) Table f Cntents
More informationEpisode 401: Newton s law of universal gravitation
Episode 401: Newton s law of univesal gavitation This episode intoduces Newton s law of univesal gavitation fo point masses, and fo spheical masses, and gets students pactising calculations of the foce
More informationSpread Bet Terms: Deposit Accounts
Spread Bet Terms: Depsit Accunts 1. Structure 1.1 When we engage in Spread Betting with yu, we d s n the basis f: - ur General Terms; these terms, i.e. ur Spread Terms. 1.2 The Spread Terms deal with matters
More informationTitle: How Do You Handle Exchange Mailboxes for Employees Who Are No Longer With the Company
Dean Suzuki Blg Title: Hw D Yu Handle Exchange Mailbxes fr Emplyees Wh Are N Lnger With the Cmpany Created: 1/21/2013 Descriptin: I asked by ne f my custmers, hw d yu handle mailbxes fr emplyees wh are
More informationIPv6 Lookups using Distributed and Load Balanced Bloom Filters for 100Gbps Core Router Line Cards
This full text pape was pee eviewed at the diectin f IEEE Cmmunicatins Sciety subject matte expets f publicatin in the IEEE INFOCOM 2009 pceedings IPv6 Lkups using Distibuted and Lad Balanced Blm Filtes
More informationPersonal Selling. Lesson 22. 22.1 Objectives. 22.2 Meaning of Personal Selling
Persnal Selling Lessn 22 Persnal Selling When yu want t buy smething yu usually g t a cncerned shp and purchase it frm there. But, smetimes yu find peple bring certain gds r prducts and make them available
More informationFINRA Regulation Filing Application Batch Submissions
FINRA Regulatin Filing Applicatin Batch Submissins Cntents Descriptin... 2 Steps fr firms new t batch submissin... 2 Acquiring necessary FINRA accunts... 2 FTP Access t FINRA... 2 FTP Accunt n FINRA s
More informationEmail Server Settings
Email Server Settings All email accunts we hst, regardless f the dmain name, will use the fllwing server settings. T use a secure cnnectin, use the settings marked "SSL." Incming Server Type: Server Name:
More informationLaboratory 2 Design of an Instrumentation Amplifier
Labratry Design f an Instrumentatin Amplifier OBJECTIVE T esign an implement an p-amp base instrumentatin amplifier. BACKGOUND An instrumentatin amplifier is typically the first stage in an instrumentatin
More informationWhen we include all these parts, we have a strong introductory paragraph, or a HIGH 5 PARAGRAPH.
Writing an Intrductry Paragraph State the Objective: Tday we will learn hw t write a gd intrductin fr an infrmatinal text. This is imprtant t yu as an authr because a gd intrductin captures yur audience
More informationProblem Set # 9 Solutions
Poblem Set # 9 Solutions Chapte 12 #2 a. The invention of the new high-speed chip inceases investment demand, which shifts the cuve out. That is, at evey inteest ate, fims want to invest moe. The incease
More informationVoltage ( = Electric Potential )
V-1 of 9 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage
More informationAT&T U-verse App ios FAQs
Abut the AT&T U-verse App What is AT&T U-verse fr ios? The AT&T U-verse App fr ios is a service that prvides all U-verse subscribers the ability t view their U-verse TV Guide, manage their hme DVR, and
More informationUNIT CIRCLE TRIGONOMETRY
UNIT CIRCLE TRIGONOMETRY The Unit Cicle is the cicle centeed at the oigin with adius unit (hence, the unit cicle. The equation of this cicle is + =. A diagam of the unit cicle is shown below: + = - - -
More informationR o t h IRAs : How They W o r k and How to Use Them
R t h IRAs : Hw They W r k and Hw t Use Them Rth IRAs differ frm ther tax-favred retirement plans, including ther IRAs (called "traditinal IRAs"), in that they prmise cmplete tax exemptin n distributin.
More informationChapter 2. Electrostatics
Chapte. Electostatics.. The Electostatic Field To calculate the foce exeted by some electic chages,,, 3,... (the souce chages) on anothe chage Q (the test chage) we can use the pinciple of supeposition.
More informationCalculation Guide Estate Master DF Summary Report Returns on Funds Invested. Aug 2014
Calculatin Guide Estate Master DF Summary Reprt Returns n Funds Invested Aug 2014 Table f Cntents Intrductin... 3 Summary Reprt Returns n Funds Invested... 4 1. Funds Invested (Cash Outlay)... 4 2. Peak
More informationIlona V. Tregub, ScD., Professor
Investment Potfolio Fomation fo the Pension Fund of Russia Ilona V. egub, ScD., Pofesso Mathematical Modeling of Economic Pocesses Depatment he Financial Univesity unde the Govenment of the Russian Fedeation
More informationTech Notes Promise RAID
Tech Ntes Prmise RAID 03/05/ Purpse: T increase familiarity with the Prmise RAID systems in bth Windws Based and DOS based sftware, including the crrect methd fr rebuilding arrays, crrecting drive errrs,
More informationBurner Troubleshooting Guide
IMMEDIATE RESPONSE TECHNOLOGIES, INC. Burner Trubleshting Guide Flash Water Heater (all standard types) Created By: Stefan Swan Infrmatin in this guide was deemed technically accurate at the time f printing.
More informationOtomasyon, Danışmanlık Ltd. Şti. INDILOAD DATACARD M AN UAL. Antetli03.doc / Page 9 of 1. Kibele Hedef mükemmele ulasmaksa.
Otmasyn, Danışmanlık Ltd. Şti. INDILOAD DATACARD M AN UAL Antetli03.dc / Page 9 f 1 Otmasyn, Danışmanlık Ltd. Şti. Chapter 1 : General Chapter 2 : Cnnectins Chapter 3 : Operatin Chapter 4 : Technical sheet
More informationUNIVERSIDAD DE CANTABRIA TESIS DOCTORAL
UNIVERSIDAD DE CANABRIA Depatamento de Ingenieía de Comunicaciones ESIS DOCORAL Cyogenic echnology in the Micowave Engineeing: Application to MIC and MMIC Vey Low Noise Amplifie Design Juan Luis Cano de
More informationAnti-Lock Braking System Training Program
COVERST.EPS ac T to $2.50 BS A Anti-Lock Baking System Taining Pogam Student Manual TP-9738 Revised 3-99 Module 1 ABS Components and System Opeation Module 2 ABS Diagnosis and Repai Module 3 ATC Opeation,
More informationTERMS AND CONDITIONS. *Revised December 21, 2015 ROUTING INSTRUCTIONS FOR U.S. SUPPLIERS SHIPPING WITHIN THE UNITED STATES
TERMS AND CONDITIONS The fllwing Ruting Instructins apply specifically t shipments frm Suppliers lcated in the United States shipping within the United States and supersede all previusly issued General
More informationNontrivial lower bounds for the least common multiple of some finite sequences of integers
J. Numbe Theoy, 15 (007), p. 393-411. Nontivial lowe bounds fo the least common multiple of some finite sequences of integes Bai FARHI bai.fahi@gmail.com Abstact We pesent hee a method which allows to
More informationSpread Bet Terms: Deposit Accounts
Spread Bet Terms: Depsit Accunts 1. Structure 1.1 When we engage in Spread Betting with yu, we d s n the basis f: - ur General Terms; these terms, i.e. ur Spread Terms. 1.2 The Spread Terms deal with matters
More informationChapter 30: Magnetic Fields Due to Currents
d Chapte 3: Magnetic Field Due to Cuent A moving electic chage ceate a magnetic field. One of the moe pactical way of geneating a lage magnetic field (.1-1 T) i to ue a lage cuent flowing though a wie.
More informationNextGen: PM Contract Library. User Manual
NextGen: PM Cntract Library User Manual Prepared by Ktenai Health Infrmatin Technlgy March 2015 Table f Cntents NextGen PM Cntract Library 2 Cmmn Uses fr Cntracts 2 File Maintenance 2 General Tab 2 Fee
More informationExercise 6: Gene Ontology Analysis
Overview: Intrductin t Systems Bilgy Exercise 6: Gene Ontlgy Analysis Gene Ontlgy (GO) is a useful resurce in biinfrmatics and systems bilgy. GO defines a cntrlled vcabulary f terms in bilgical prcess,
More informationNASDAQ BookViewer 2.0 User Guide
NASDAQ BkViewer 2.0 User Guide NASDAQ BkViewer 2.0 ffers a real-time view f the rder depth using the NASDAQ Ttalview prduct fr NASDAQ and ther exchange-listed securities including: The tp buy and sell
More informationBlizzard Ball: Snowballs versus Avalanches
Blizzard Ball: Snwballs versus Avalanches Blizzard Ball is a fun, active way t review the key cncepts f and debt cvered in Katrina s Classrm Lessn 3, A Fresh Start. The activity allws players t strategize
More informationBridgeValley Community and Technical College Financial Aid Office 2015-2016 Maximum Hour Financial Aid Suspension Appeal Process
BridgeValley Cmmunity and Technical Cllege Financial Aid Office 2015-2016 Maximum Hur Financial Aid Suspensin Appeal Prcess T receive financial aid administered by BridgeValley Cmmunity and Technical Cllege,
More informationMITEL MC FOR ANDROID FEATURE OVERVIEW PREPARATION INSTALLATION DOWNLOAD CONFIGURATION (REDIRECT) QUICK REFERENCE GUIDE
QUICK REFERENCE GUIDE MITEL MC FOR ANDROID IN FEATURE OVERVIEW Yur Mitel Mbile Client ( client in the fllwing) makes a variety f cmmunicatin services available that are nrmally ffered by several phnes
More informationENTRY STANDARDS. Approved by IAAF Council - March 2012 and November 2012
IAAF WORLD CHAMPIONSHIPS, MOSCOW 2013 10 AUGUST 18 AUGUST 2013 ENTRY STANDARDS Apprved by IAAF Cuncil - March 2012 and Nvember 2012 Men Wmen Event A Standard B Standard A Standard B Standard 10.15 10.21
More informationHow To Understand An Outut Stage
CHATE 3 OUTUT STAGES AND OE AMFES Chapter Outline 3. Classificatin f Output Stages 3. Class A Output Stage 3.3 Class B Output Stage 3.4 Class AB Output Stage 3.5 Biasing the Class AB Circuit 3.6 CMOS Class
More informationSpread Bet Terms: Deposit Accounts
Spread Bet Terms: Depsit Accunts 1. Structure 1.1 When we engage in Spread Betting with yu, we d s n the basis f: - ur General Terms; these terms, i.e. ur Spread Terms. 1.2 The Spread Terms deal with matters
More information2. Before we answer the question, here are four important terms relating to redox reactions and galvanic cells.
CHAPTER SEVENTEEN ELECTROCHEMISTRY Fr Review 1. Electrchemistry is the study f the interchange f chemical and electrical energy. A redx (xidatin-reductin) reactin is a reactin in which ne r mre electrns
More informationMy Academic Requirements and Degree Audit Report (pdf) Field Descriptions
My Academic s and Degree Audit Reprt Field Descriptins My Academic s and Degree Audit Reprt (pdf) Field Descriptins Imprtant Infrmatin Field descriptins f bth the nline My Academic s reprt and the Degree
More informationPAN STABILITY TESTING OF DC CIRCUITS USING VARIATIONAL METHODS XVIII - SPETO - 1995. pod patronatem. Summary
PCE SEMINIUM Z PODSTW ELEKTOTECHNIKI I TEOII OBWODÓW 8 - TH SEMIN ON FUNDMENTLS OF ELECTOTECHNICS ND CICUIT THEOY ZDENĚK BIOLEK SPŠE OŽNO P.., CZECH EPUBLIC DLIBO BIOLEK MILITY CDEMY, BNO, CZECH EPUBLIC
More informationHow To Set Up A General Ledger In Korea
MODULE 6: RECEIVABLES AND PAYABLES MANAGEMENT: PAYMENT DISCOUNT AND PAYMENT TOLERANCE Mdule Overview Granting payment discunts prvides an incentive fr custmers t quickly pay their utstanding amunts in
More informationQuestions & Answers Chapter 10 Software Reliability Prediction, Allocation and Demonstration Testing
M13914 Questions & Answes Chapte 10 Softwae Reliability Pediction, Allocation and Demonstation Testing 1. Homewok: How to deive the fomula of failue ate estimate. λ = χ α,+ t When the failue times follow
More informationINFLUENCE OF GRINDING TREATMENTS ON THE SUR FACE HARDNESS OF INTAGLIO PRINTING PLATES OF 0.33.PERCENT CARBON STEEL
U. S. DEPARTMENT OF COMMERCE NATIONAL BUREAU OF STANDARDS RESEARCH PAPER RP1374 Pat f Junal f Reseach f the }{atinal Bueau f Standads, Vlume 26, Mach 1941 INFLUENCE OF GRINDING TREATMENTS ON THE SUR FACE
More informationMaritime and Coastguard Agency LogMARINE INFORMATION NOTE. Revalidating a Certificate of Competency: New Requirements for Masters and Officers
Maritime and Castguard Agency LgMARINE INFORMATION NOTE MIN 494 (M) Revalidating a Certificate f Cmpetency: New Requirements fr Masters and Officers Ntice t all wners, peratrs, managers, Masters (STCW)
More informationPEARL LINGUISTICS YOUR NEW LANGUAGE SERVICE PROVIDER FREQUENTLY ASKED QUESTIONS
PEARL LINGUISTICS YOUR NEW LANGUAGE SERVICE PROVIDER FREQUENTLY ASKED QUESTIONS 1) Hw d I determine which service I need? 2) Hw d I bk face t face interpreters? 3) Hw d I bk telephne interpreters? 4) Hw
More informationExperiment 6: Centripetal Force
Name Section Date Intoduction Expeiment 6: Centipetal oce This expeiment is concened with the foce necessay to keep an object moving in a constant cicula path. Accoding to Newton s fist law of motion thee
More informationDifferential Amplifiers: Implementation on ICs
iffeential plifies: Ipleentatin n ICs eplain SS an with uent-sues an atie las F. Najabai, ECE, Fall /9 esist ss pies sue eeneatin f a stable bias Bias Cn Me iuit I I I I I I I In isete iuits, bias is siila
More information