TN Calculating Radiated Power and Field Strength for Conducted Power Measurements


 Dulcie Chandler
 1 years ago
 Views:
Transcription
1 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts TN Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts Copyright Smtch of 9
2 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts 1 Tabl of Contnts 1 Tabl of Contnts Indx of Figurs... Introduction Antnnas and owr Dnsity Isotropic Antnnas Fr Spac ath oss Antnna Cofficints Antnna Corrction Factor Antnna Factor Fild Strngth Convrsions ffctiv Isotropic adiatd owr Convrsion frncs Indx of Figurs Figur 1: Isotropic adiator...3 Figur : OnWay Communications ink...5 Copyright Smtch 007 of 9
3 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts Introduction Th Fdral Communications Commission (FCC) gulations for adio Frquncy Dvics dfins powr and radiatd limits in trms of lctric fild strngth masurd in volts/mtr (typically at a distanc of 3 mtrs) from th sourc. Unlss th nginr has accss to a F anchoic chambr, GigaHrtz transvrs lctromagntic (GTM) cll, or opn ara tst sit (OATS), most masurmnts will b mad as conductd powr masurmnts into th 50 Ω load prsntd by th tst quipmnt. This application not will xplain th rlationship btwn conductd powr lvls and radiatd powr fild strngths. 3 Antnnas and owr Dnsity 3.1 Isotropic Antnnas Sinc w ar concrnd with th radiatd fild gnratd from th antnna, w will considr th point sourc radiator or isotropic antnna. Th prformanc of most practical antnnas is oftn rfrncd in trms of this basic radiator. Th isotropic antnna radiats nrgy qually in all dirctions; hnc th radiation pattrn in any plan is circular, as illustratd blow in Figur 1. Q r O S Figur 1: Isotropic adiator In th cas of th isotropic radiator at point O which is fd with a powr watts. Th powr flows outwards from th origin and must flow through th sphrical surfac, S, of radius, r. W can dfin th powr dnsity, d, at th point Q as: d = Watts/m (1) 4 π r Copyright Smtch of 9
4 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts oynting s thorm dfins th rlationship btwn th powr dnsity to th fild and Hfild vctors as dfind blow: d = H Watts/m Th magnitud of th powr dnsity is thus: d = H =, whr 10π is th impdanc of fr spac or approximatly 377Ω. 10π From th abov, w can s that = 10π, and thus, H 10π = r Hnc, th rms valu of th (or lctric) fild can b calculatd from: 30 = V/m () r Th isotropic antnna is considrd to hav a powr gain, G i = 1. frring to Figur 1, abov, if an antnna with gain G T wr placd at point O, th powr rcivd at point Q would b incrasd by G T. Hnc, th fild strngth at point Q will b incrasd: 30G T T = V/m (3) r Whr T is th transmittr powr, G T is th antnna gain. Similarly, for an antnna with gain G T, w can rwrit quation (1) as: d G T T = Watts/m (4) r If G T = 1 (.g. th gain of an Isotropic antnna with gain, G i ), th radiatd powr calculatd in quation (4) is rfrrd to as th ffctiv Isotropic adiatd owr (I) and is th powr that would b radiatd from a transmittr of owr T from an idal omnidirctional sourc. arranging (3), and with G T = 1, w can dtrmin th I in trms of th fild strngth: r T = (5) 30 As an xampl, FCC art 15.49(a) stats that th maximum fild strngth for ISM band dvics oprating in th MHz band is 50 mv/m. Sinc fild strngth is typically masurd at 3 m, w can rwrit (5) to calculat th I as follows: = 0.3 T = 0.75mW T = 1.5dBm Copyright Smtch of 9
5 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts 4 Fr Spac ath oss Considr th onway (or simplx) communications link illustratd blow in Figur : r Q T Figur : OnWay Communications ink Assum that a transmittr at T with transmittr powr T and antnna gain G T. Th powr dnsity, d, at th rcivr, Q is as prviously dfind in quation (4). d G T T = Watts/m r Th radiatd powr rcivd at th antnna port is a function of th ffctiv aprtur of th antnna: Gantλ A = m (6) If th gain of th rcivr antnna, G ant = G, w can calculat th powr rcivd as: = A (7) d G T TGλ = (8) ( r ) quation (8) is oftn rfrrd to as th fr spac loss quation. Whilst w can rarrang (8) to dtrmin th thortical transmission rang, it should b noticd that in th ral world situation, factors such as rflctions, scattring, shadowing, trrain and nvironmnt will impact upon th transmission rang. Copyright Smtch of 9
6 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts 5 Antnna Cofficints 5.1 Antnna Corrction Factor Typically laboratory basd powr masurmnts ar mad with tst quipmnt that has a charactristic impdanc of 50Ω. As has bn dfind abov, th charactristic impdanc of fr spac is (10π)Ω or 377Ω. For an antnna matchd to a load, w can rwrit quation (7) as = A (9) d If is masurd in a 50Ω load and d in a fr spac impdanc of 377Ω, thn th following rlationships apply: V = and 50 d = (10) 377 Hnc, w can rwrit quation (9): = A V (11) Not that V is in units of volts, whilst is in volts/mtr. Th ffctiv aprtur of th antnna, with units of m, convrts fr spac powr dnsity to circuit powr. Th rlationship btwn radiatd and conductd powr can b mad clarr by dfining an antnna corrction factor (ACF), which is introducd in quation (1): ACF = m  (1) V writing (11) and substitut for ACF: ACF = 50 A By substituting quation (6) into th abov, th antnna corrction factor can b dfind as: 377 ACF = m  (13) 50 G ant λ If th frquncy, f, is in MHz, thn by substituting λ=c/f: ACF ACF = ( f, MHz) ( ) = ( )( f, MHz) Gant 1 G ant Copyright Smtch of 9
7 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts Taking 10(log) of both sids allows th ACF to b calculatd in db: ACF( db) = 9.78dB + 0log( f, MHz) 10log( G) (14) 5. Antnna Factor From th abov, w s that th Antnna Corrction Factor links powr (in trms of V /) and powr dnsity. Most antnnas usd for fild strngth and complianc masurmnts us a cofficint to link fild strngth to rcivr voltag V dirctly, sinc V can b masurd, whilst is th quantity that is rquird by th FCC. This cofficint is a calld Antnna Factor (A F ) and is gnrally quotd as a function of frquncy (or 1/λ). A V F = = = V ACF A F = = 50 Gantλ m 1 (16) λ Gant 6 Fild Strngth Convrsions From quation (9) th powr in th load is rlatd to powr dnsity by th ffctiv antnna aprtur, A. Substituting quation (6) into this quation, w can rlat load powr dirctly to as dfind in quation 10, as follows: = λgant 377 If th frquncy, f, is in MHz and w substitut for λ=c/f: 8 (3 10 ) G = 6 ( f, MHz) (10 ) ant 377 For powr in mw and fild strngth in µv/m, and calculating th constant trms: Gant (, µ V / m) ( mw ) = ( f, MHz) (17) Taking 10(log) of both sids: 10log(, mw ) = 77.dB + 10log( G ) + 0log(, µ V / m) 0log( f, MHz) By rarranging th abov: ant ( dbµ V / m) = ( dbm) + 77.dB + 0log( f, MHz) ( db) (18) ant Copyright Smtch of 9
8 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts Sinc is rlatd to powr masurd in a circuit (by using a spctrum analyzr) by th trms for any path gains btwn th antnna and th analyzr, w can rwrit = mas gain. quation (18) bcoms: ( dbµ V / m) = ( dbm) ( db) + 77.dB + 0log( f, MHz) ( db) (19) mas gain quation 19 is th ky quation for convrting powr masurd in a circuit (in dbm) into incidnt fild strngth in dbµv/m. 7 ffctiv Isotropic adiatd owr Convrsion To calculat th ffctiv I from th powr masurd in a circuit, from quation (7), th powr in th rcivr is rlatd to th powr dnsity and th ffctiv aprtur of th antnna: ant G T T I = A = A r r = da (0) From quation (6), th ffctiv aprtur of th antnna is th ffctiv aprtur of an isotropic antnna multiplid by th gain of th antnna (G ant = G ): Gλ A = Taking log(10) of both sids of quation (0), and if th frquncy, f, is in MHz, distanc, r, is in mtrs, and substituting for λ=c/f: = I + G ( db) log( f, MHz) 0 log( r, mtrs) (1) For th masurmnts rquird by FCC art 15, quation (1) is a convnint mthod of calculating th powr in th rcivr. Sinc masurmnts ar typically mad at a distanc of 3 mtrs, w can rwrit quation (1): = I + G ( db) log( f, MHz) () If th gain of th rcivr antnna is known and th rcivd powr has bn masurd at a distanc of r mtrs from th sourc, w can rarrang quations (1) and () to calculat th I: I( dbw ) = ( dbm) log( f, MHz) 0 log( r, mtrs) (3) If I rlativ to 1 mw is rquird: I( dbm) = ( dbm) log( f, MHz) 0 log( r, mtrs) (4) And assuming that th distanc r is 3 m as in th cas dfind for quation (): I( dbm) = ( dbm) 37 0log( f, MHz) (5) Copyright Smtch of 9
9 Calculating adiatd owr and Fild Strngth for Conductd owr Masurmnts 8 frncs F.. Connor; Antnnas dward Arnold, 197 Softwright C; F. Sandrs; Convrsion of owr Masurd in a Circuit to Incidnt Fild Strngth and Incidnt owr Dnsity, and Corrctions to Masurd mission Spctra for NonConstant Aprtur Masurmnt Antnnas (Appndix C of NTIA port , Jan 001) ND OF DOCUMNT Copyright Smtch of 9
New Basis Functions. Section 8. Complex Fourier Series
Nw Basis Functions Sction 8 Complx Fourir Sris Th complx Fourir sris is prsntd first with priod 2, thn with gnral priod. Th connction with th ralvalud Fourir sris is xplaind and formula ar givn for convrting
More informationVector Network Analyzer
Cours on Microwav Masurmnts Vctor Ntwork Analyzr Prof. Luca Prrgrini Dpt. of Elctrical, Computr and Biomdical Enginring Univrsity of Pavia mail: luca.prrgrini@unipv.it wb: microwav.unipv.it Microwav Masurmnts
More informationIncomplete 2Port Vector Network Analyzer Calibration Methods
Incomplt Port Vctor Ntwork nalyzr Calibration Mthods. Hnz, N. Tmpon, G. Monastrios, H. ilva 4 RF Mtrology Laboratory Instituto Nacional d Tcnología Industrial (INTI) Bunos irs, rgntina ahnz@inti.gov.ar
More informationLecture 20: Emitter Follower and Differential Amplifiers
Whits, EE 3 Lctur 0 Pag of 8 Lctur 0: Emittr Followr and Diffrntial Amplifirs Th nxt two amplifir circuits w will discuss ar ry important to lctrical nginring in gnral, and to th NorCal 40A spcifically.
More informationME 612 Metal Forming and Theory of Plasticity. 6. Strain
Mtal Forming and Thory of Plasticity mail: azsnalp@gyt.du.tr Makin Mühndisliği Bölümü Gbz Yüksk Tknoloji Enstitüsü 6.1. Uniaxial Strain Figur 6.1 Dfinition of th uniaxial strain (a) Tnsil and (b) Comprssiv.
More informationLecture 3: Diffusion: Fick s first law
Lctur 3: Diffusion: Fick s first law Today s topics What is diffusion? What drivs diffusion to occur? Undrstand why diffusion can surprisingly occur against th concntration gradint? Larn how to dduc th
More informationby John Donald, Lecturer, School of Accounting, Economics and Finance, Deakin University, Australia
Studnt Nots Cost Volum Profit Analysis by John Donald, Lcturr, School of Accounting, Economics and Financ, Dakin Univrsity, Australia As mntiond in th last st of Studnt Nots, th ability to catgoris costs
More information811ISD Economic Considerations of Heat Transfer on Sheet Metal Duct
Air Handling Systms Enginring & chnical Bulltin 811ISD Economic Considrations of Hat ransfr on Sht Mtal Duct Othr bulltins hav dmonstratd th nd to add insulation to cooling/hating ducts in ordr to achiv
More informationThe Normal Distribution: A derivation from basic principles
Th Normal Distribution: A drivation from basic principls Introduction Dan Tagu Th North Carolina School of Scinc and Mathmatics Studnts in lmntary calculus, statistics, and finit mathmatics classs oftn
More information[ ] These are the motor parameters that are needed: Motor voltage constant. J total (lbinsec^2)
MEASURING MOOR PARAMEERS Fil: Motor paramtrs hs ar th motor paramtrs that ar ndd: Motor voltag constant (voltssc/rad Motor torqu constant (lbin/amp Motor rsistanc R a (ohms Motor inductanc L a (Hnris
More informationLong run: Law of one price Purchasing Power Parity. Short run: Market for foreign exchange Factors affecting the market for foreign exchange
Lctur 6: Th Forign xchang Markt xchang Rats in th long run CON 34 Mony and Banking Profssor Yamin Ahmad xchang Rats in th Short Run Intrst Parity Big Concpts Long run: Law of on pric Purchasing Powr Parity
More informationChapter 3: Capacitors, Inductors, and Complex Impedance
haptr 3: apacitors, Inductors, and omplx Impdanc In this chaptr w introduc th concpt of complx rsistanc, or impdanc, by studying two ractiv circuit lmnts, th capacitor and th inductor. W will study capacitors
More informationQuestion 3: How do you find the relative extrema of a function?
ustion 3: How do you find th rlativ trma of a function? Th stratgy for tracking th sign of th drivativ is usful for mor than dtrmining whr a function is incrasing or dcrasing. It is also usful for locating
More informationFar Field Estimations and Simulation Model Creation from Cable Bundle Scans
Far Fild Estimations and Simulation Modl Cration from Cabl Bundl Scans D. Rinas, S. Nidzwidz, S. Fri Dortmund Univrsity of Tchnology Dortmund, Grmany dnis.rinas@tudortmund.d stphan.fri@tudortmund.d Abstract
More informationBasis risk. When speaking about forward or futures contracts, basis risk is the market
Basis risk Whn spaking about forward or futurs contracts, basis risk is th markt risk mismatch btwn a position in th spot asst and th corrsponding futurs contract. Mor broadly spaking, basis risk (also
More informationRenewable Energy Sources. Solar Cells SJSUE10 S John Athanasiou
Rnwabl Enrgy Sourcs. Solar Clls SJSUE10 S2008 John Athanasiou 1 Rnwabl Enrgy Sourcs Rnwabl: Thy can last indfinitly 1. Wind Turbin: Convrting th wind nrgy into lctricity Wind, Propllr, Elctric Gnrator,
More informationMathematics. Mathematics 3. hsn.uk.net. Higher HSN23000
hsn uknt Highr Mathmatics UNIT Mathmatics HSN000 This documnt was producd spcially for th HSNuknt wbsit, and w rquir that any copis or drivativ works attribut th work to Highr Still Nots For mor dtails
More informationProjections  3D Viewing. Overview Lecture 4. Projection  3D viewing. Projections. Projections Parallel Perspective
Ovrviw Lctur 4 Projctions  3D Viwing Projctions Paralll Prspctiv 3D Viw Volum 3D Viwing Transformation Camra Modl  Assignmnt 2 OFF fils 3D mor compl than 2D On mor dimnsion Displa dvic still 2D Analog
More informationSurface wave accelerator based on silicon carbide (SWABSiC)
Surfac wav acclrator basd on silicon carbid (SWABSiC) V. Khudi, S. Trndafilov, Kamil B. Alici P.I. Gnnady Shvts Th Univrsity of Txas at Austin V. Yaimno, M. Babzin, M. Fdurin, K. Kusch BNL/ATF Lasr Bam
More informationMaximum and minimum void ratios and median grain size of granular soils: their importance and correlations with material properties
3 r d Intrnational Confrnc on Nw Dvlopmnts in Soil Mchanics and Gotchnical Enginring, 830 Jun 01, Nar East Univrsity, Nicosia, North Cyprus Maximum and minimum void ratios and mdian grain siz of granular
More informationThe Matrix Exponential
Th Matrix Exponntial (with xrciss) 92.222  Linar Algbra II  Spring 2006 by D. Klain prliminary vrsion Corrctions and commnts ar wlcom! Th Matrix Exponntial For ach n n complx matrix A, dfin th xponntial
More informationFundamentals: NATURE OF HEAT, TEMPERATURE, AND ENERGY
Fundamntals: NATURE OF HEAT, TEMPERATURE, AND ENERGY DEFINITIONS: Quantum Mchanics study of individual intractions within atoms and molculs of particl associatd with occupid quantum stat of a singl particl
More informationMEASUREMENT AND ASSESSMENT OF IMPACT SOUND IN THE SAME ROOM. Hans G. Jonasson
MEASUREMENT AND ASSESSMENT OF IMPACT SOUND IN THE SAME ROOM Hans G. Jonasson SP Tchnical Rsarch Institut of Swdn Box 857, SE501 15 Borås, Swdn hans.jonasson@sp.s ABSTRACT Drum sound, that is th walking
More informationTHE FUNDAMENTALS OF CURRENT SENSE TRANSFORMER DESIGN. Patrick A. Cattermole, Senior Applications Engineer MMG 10 Vansco Road, Toronto Ontario Canada
, Snior Alications nginr MMG 10 Vansco Road, Toronto Ontario Canada Abstract Th following ar will first rviw th basic rincils of oration of a Currnt Sns Transformr and thn follow a simlifid dsign rocdur.
More informationInstallation Saving Spaceefficient Panel Enhanced Physical Durability Enhanced Performance Warranty The IRR Comparison
Contnts Tchnology Nwly Dvlopd Cllo Tchnology Cllo Tchnology : Improvd Absorption of Light Doublsidd Cll Structur Cllo Tchnology : Lss Powr Gnration Loss Extrmly Low LID Clls 3 3 4 4 4 Advantag Installation
More informationNonHomogeneous Systems, Euler s Method, and Exponential Matrix
NonHomognous Systms, Eulr s Mthod, and Exponntial Matrix W carry on nonhomognous firstordr linar systm of diffrntial quations. W will show how Eulr s mthod gnralizs to systms, giving us a numrical approach
More informationCurrent and Resistance
Chaptr 6 Currnt and Rsistanc 6.1 Elctric Currnt...66.1.1 Currnt Dnsity...66. Ohm s Law...64 6.3 Elctrical Enrgy and Powr...67 6.4 Summary...68 6.5 Solvd Problms...69 6.5.1 Rsistivity of a Cabl...69
More informationIntroduction to Finite Element Modeling
Introduction to Finit Elmnt Modling Enginring analysis of mchanical systms hav bn addrssd by driving diffrntial quations rlating th variabls of through basic physical principls such as quilibrium, consrvation
More informationEcon 371: Answer Key for Problem Set 1 (Chapter 1213)
con 37: Answr Ky for Problm St (Chaptr 23) Instructor: Kanda Naknoi Sptmbr 4, 2005. (2 points) Is it possibl for a country to hav a currnt account dficit at th sam tim and has a surplus in its balanc
More informationCALCULATING MARGINAL PROBABILITIES IN PROC PROBIT Guy Pascale, Memorial Health Alliance
CALCULATING MARGINAL PROBABILITIES IN PROC PROBIT Guy Pascal, Mmorial Halth Allianc Introduction Th PROBIT procdur within th SAS systm provids a simpl mthod for stimating discrt choic variabls (i.. dichotomous
More informationModern Portfolio Theory (MPT) Statistics
Modrn Portfolio Thory (MPT) Statistics Morningstar Mthodology Papr May 9, 009 009 Morningstar, Inc. All rights rsrvd. Th information in this documnt is th proprty of Morningstar, Inc. Rproduction or transcription
More informationACCURACY OF DISTRIBUTION CURRENT TRANSFORMERS UNDER NONSINUSOIDEAL EXCITATION
ACCURACY OF DSTRBUTON CURRENT TRANSFORMERS UNDER NONSNUSODEAL EXCTATON Astract K. Dnath School of Enginring Univrsity of Tasmania Hoart, Australia 7000 Th accuracy of CTs usd for mtring uross ar rquird
More informationAbstract. Introduction. Statistical Approach for Analyzing Cell Phone Handoff Behavior. Volume 3, Issue 1, 2009
Volum 3, Issu 1, 29 Statistical Approach for Analyzing Cll Phon Handoff Bhavior Shalini Saxna, Florida Atlantic Univrsity, Boca Raton, FL, shalinisaxna1@gmail.com Sad A. Rajput, Farquhar Collg of Arts
More informationVibrational Spectroscopy
Vibrational Spctroscopy armonic scillator Potntial Enrgy Slction Ruls V( ) = k = R R whr R quilibrium bond lngth Th dipol momnt of a molcul can b pandd as a function of = R R. µ ( ) =µ ( ) + + + + 6 3
More informationLG has introduced the NeON 2, with newly developed Cello Technology which improves performance and reliability. Up to 320W 300W
Cllo Tchnology LG has introducd th NON 2, with nwly dvlopd Cllo Tchnology which improvs prformanc and rliability. Up to 320W 300W Cllo Tchnology Cll Connction Elctrically Low Loss Low Strss Optical Absorption
More informationNoise Power Ratio (NPR) A 65Year Old Telephone System Specification Finds New Life in Modern Wireless Applications.
TUTORIL ois Powr Ratio (PR) 65Yar Old Tlphon Systm Spcification Finds w Lif in Modrn Wirlss pplications ITRODUTIO by Walt Kstr Th concpt of ois Powr Ratio (PR) has bn around sinc th arly days of frquncy
More informationREACTOR HEAT GENERATION
REACTOR HEAT GENERATION Th nrgy rlasd rom ission appars as kintic nrgy o ission ragmnts, ission nutrons and gamma and bta radiation. Approximatly 193 Mv is rlasd dirctly as a rsult o ission, and consists
More informationCategory 7: Employee Commuting
7 Catgory 7: Employ Commuting Catgory dscription This catgory includs missions from th transportation of mploys 4 btwn thir homs and thir worksits. Emissions from mploy commuting may aris from: Automobil
More informationSimulation of a Solar Cell considering SingleDiode Equivalent Circuit Model
Simulation of a Solar Cll considring SinglDiod Equivalnt Circuit Modl E.M.G. Rodrigus, R. Mlício,, V.M.F. Mnds and J.P.S. Catalão, Univrsity of Bira Intrior R. Font do Lamiro,  Covilhã (Portugal) Phon:
More informationResearch Progress in Acoustical Application to Petroleum Logging and Seismic Exploration
Snd Ordrs of Rprints at rprints@bnthamscinc.nt Th Opn Acoustics Journal 23 6  Opn Accss Rsarch Progrss in Acoustical Application to Ptrolum Logging and Sismic Exploration Lin Fa * Li Wang Yuan Zhao 2
More informationAC Circuits ThreePhase Circuits
AC Circuits ThrPhs Circuits Contnts Wht is ThrPhs Circuit? Blnc ThrPhs oltgs Blnc ThrPhs Connction Powr in Blncd Systm Unblncd ThrPhs Systms Aliction Rsidntil Wiring Sinusoidl voltg sourcs A siml
More informationQUANTITATIVE METHODS CLASSES WEEK SEVEN
QUANTITATIVE METHODS CLASSES WEEK SEVEN Th rgrssion modls studid in prvious classs assum that th rspons variabl is quantitativ. Oftn, howvr, w wish to study social procsss that lad to two diffrnt outcoms.
More informationStatistical Machine Translation
Statistical Machin Translation Sophi Arnoult, Gidon Mailltt d Buy Wnnigr and Andra Schuch Dcmbr 7, 2010 1 Introduction All th IBM modls, and Statistical Machin Translation (SMT) in gnral, modl th problm
More informationImproving Managerial Accounting and Calculation of Labor Costs in the Context of Using Standard Cost
Economy Transdisciplinarity Cognition www.ugb.ro/tc Vol. 16, Issu 1/2013 5054 Improving Managrial Accounting and Calculation of Labor Costs in th Contxt of Using Standard Cost Lucian OCNEANU, Constantin
More informationVersion Issue Date Reason / Description of Change Author Draft February, N/A 2009
Appndix A: CNS Managmnt Procss: OTRS POC Documnt Control Titl : CNS Managmnt Procss Documnt : (Location of Documnt and Documnt numbr) Author : Ettin Vrmuln (EV) Ownr : ICT Stratgic Srvics Vrsion : Draft
More informationOn The FineStructure Constant Physical Meaning
HADRONIC JOURNAL, Vol. 8, No., 77, (5) 1 On Th FinStructur Constant Physical Maning Gorg P. Shpnkov Institut of Mathmatics & Physics, UTA, Kaliskigo 7, 85796 Bydgoszcz, Poland; shpnkov@janmax.com Abstract
More informationInfrared VibrationRotation Spectroscopy of HCl and DCl
Chmistry 363 JMS 1/05 Spring 010 DLC 1/10 Infrard VibrationRotation Spctroscopy of HCl and DCl Exprimnt Objctiv: to obtain th quilibrium bond lngth (r ) and vibrationrotation spctroscopic constants from
More informationEpipolar Geometry and the Fundamental Matrix
9 Epipolar Gomtry and th Fundamntal Matrix Th pipolar gomtry is th intrinsic projctiv gomtry btwn two viws. It is indpndnt of scn structur, and only dpnds on th camras intrnal paramtrs and rlativ pos.
More informationThe Fourier Transform
Th Fourir Transfor Larning outcos Us th Discrt Fourir Transfor to prfor frquncy analysis on a discrt (digital) signal Eplain th significanc of th Fast Fourir Transfor algorith; Eplain why windowing is
More informationHigher order mode damping considerations for the SPL cavities at CERN
Highr ordr mod damping considrations for th SPL cavitis at CERN W. Wingartn Outlin Th SPL study at CERN HOM damping rquirmnts for SPL study Optimisation of cavity gomtry rlatd to HOM damping Conclusion
More informationCPS 220 Theory of Computation REGULAR LANGUAGES. Regular expressions
CPS 22 Thory of Computation REGULAR LANGUAGES Rgular xprssions Lik mathmatical xprssion (5+3) * 4. Rgular xprssion ar built using rgular oprations. (By th way, rgular xprssions show up in various languags:
More informationOptics Communications
Optics Communications 84 () 43 436 Contnts lists availabl at ScincDirct Optics Communications journal hompag: www.lsvir.com/locat/optcom Scattring forcs in th focal volum of high numrical aprtur microscop
More information2.2.C Analogy between electronic excitations in an atom and the mechanical motion of a forced harmonic oscillator"
..C Analgy btwn lctrnic xcitatins in an atm and th mchanical mtin f a frcd harmnic scillatr" Hw t chs th valu f th crrspnding spring cnstant k? Rsnant Absrptin Mchanical rsnanc W idntify th mchanical rsnanc
More informationThe example is taken from Sect. 1.2 of Vol. 1 of the CPN book.
Rsourc Allocation Abstract This is a small toy xampl which is wllsuitd as a first introduction to Cnts. Th CN modl is dscribd in grat dtail, xplaining th basic concpts of Cnts. Hnc, it can b rad by popl
More informationTEMPERATURE COMPENSATION OF A THERMAL FLOW SENSOR BY USING TEMPERATURE COMPENSATION NETWORK. *Corresponding author: sima@tatiuc.edu.
National Confrnc on Postgraduat sarch (NCONPG) 2009 st Octobr 2009, UMP Confrnc Hall, Malaysia Cntr for Graduat Studis, Univrsiti Malaysia Pahang Editors: M.M. Noor; M.M. ahman and K. Kadirgama EMPEAUE
More informationCHARACTERISTICS OF ELECTROMAGNETIC WAVE PROPAGATION THROUGH A MAGNETISED PLASMA SLAB WITH LINEARLY VARYING ELECTRON DEN SITY
Progrss In Elctromagntics Rsarch B, Vol. 21, 385 398, 2010 CHARACTERISTICS OF ELECTROMAGNETIC WAVE PROPAGATION THROUGH A MAGNETISED PLASMA SLAB WITH LINEARLY VARYING ELECTRON DEN SITY Ç. S. Gürl Dpartmnt
More informationTheoretical approach to algorithm for metrological comparison of two photothermal methods for measuring of the properties of materials
Rvista Invstigación Cintífica, ol. 4, No. 3, Nuva época, sptimbr dicimbr 8, IN 187 8196 Thortical approach to algorithm for mtrological comparison of two photothrmal mthods for masuring of th proprtis
More informationForeign Exchange Markets and Exchange Rates
Microconomics Topic 1: Explain why xchang rats indicat th pric of intrnational currncis and how xchang rats ar dtrmind by supply and dmand for currncis in intrnational markts. Rfrnc: Grgory Mankiw s Principls
More informationPrinciples of Humidity Dalton s law
Principls of Humidity Dalton s law Air is a mixtur of diffrnt gass. Th main gas componnts ar: Gas componnt volum [%] wight [%] Nitrogn N 2 78,03 75,47 Oxygn O 2 20,99 23,20 Argon Ar 0,93 1,28 Carbon dioxid
More informationAdvanced Electric Machine Theory (EE5820)
Txt boo: Advancd Elctric Machin Thory (EE5820 (C. M. Liaw P. C. Krau, O. Waynczu and S. D. Sudho, "Analyi o lctric machinry," IEEE Pr, 1995.. P. C. Krau, O. Waynczu, and S. D. Sudho, Analyi o lctric machinry
More informationFive Dimensional Spherical Symmetric Universe in Creation Field Cosmology
Th African Rviw of Physics (2014) 9:003 277 iv Dimnsional Sphrical Symmtric Univrs in Cration ild Cosmoloy U. K. Panirahi 1, R. Patra 2 and ita Sharma 3,* 1 Acadmy of Tchnocrats, Brhampur, Odisha, India
More information5 2 index. e e. Prime numbers. Prime factors and factor trees. Powers. worked example 10. base. power
Prim numbrs W giv spcial nams to numbrs dpnding on how many factors thy hav. A prim numbr has xactly two factors: itslf and 1. A composit numbr has mor than two factors. 1 is a spcial numbr nithr prim
More informationhttp://www.wwnorton.com/chemistry/tutorials/ch14.htm Repulsive Force
ctivation nrgis http://www.wwnorton.com/chmistry/tutorials/ch14.htm (back to collision thory...) Potntial and Kintic nrgy during a collision + + ngativly chargd lctron cloud Rpulsiv Forc ngativly chargd
More informationAdverse Selection and Moral Hazard in a Model With 2 States of the World
Advrs Slction and Moral Hazard in a Modl With 2 Stats of th World A modl of a risky situation with two discrt stats of th world has th advantag that it can b natly rprsntd using indiffrnc curv diagrams,
More information5.4 Exponential Functions: Differentiation and Integration TOOTLIFTST:
.4 Eponntial Functions: Diffrntiation an Intgration TOOTLIFTST: Eponntial functions ar of th form f ( ) Ab. W will, in this sction, look at a spcific typ of ponntial function whr th bas, b, is.78.... This
More informationCPU. Rasterization. Per Vertex Operations & Primitive Assembly. Polynomial Evaluator. Frame Buffer. Per Fragment. Display List.
Elmntary Rndring Elmntary rastr algorithms for fast rndring Gomtric Primitivs Lin procssing Polygon procssing Managing OpnGL Stat OpnGL uffrs OpnGL Gomtric Primitivs ll gomtric primitivs ar spcifid by
More informationSUBATOMIC PARTICLES AND ANTIPARTICLES AS DIFFERENT STATES OF THE SAME MICROCOSM OBJECT. Eduard N. Klenov* RostovonDon. Russia
SUBATOMIC PARTICLES AND ANTIPARTICLES AS DIFFERENT STATES OF THE SAME MICROCOSM OBJECT Eduard N. Klnov* RostovonDon. Russia Th distribution law for th valus of pairs of th consrvd additiv quantum numbrs
More informationSubatomic Physics: Particle Physics Study Guide
Subatomic Physics: Particl Physics Study Guid This is a uid of what to rvis for th xam. Th othr matrial w covrd in th cours may appar in ustions but it will always b providd if ruird. Rmmbr that, in an
More informationEinstein s Special Relativity Theory and Mach s Principle by Lars Wåhlin Colutron Research, Boulder, CO USA
Einstin s Spcial Rlativity Thory and Mach s Principl by Lars Wåhlin Colutron Rsarch, Bouldr, CO USA Prsntd Fbruary 4, at th AAAS annual Mting in Boston (Gnral Postr Sssion) Abstract: Many historical works
More informationSimulation of the electric field generated by a brown ghost knife fish
C H A P T R 2 7 Simulation of th lctric fild gnratd by a brown ghost knif fish lctric fild CONCPTS 27.1 Th fild modl 27.2 lctric fild diagrams 27.3 Suprposition of lctric filds 27.4 lctric filds and forcs
More informationFACULTY SALARIES FALL 2004. NKU CUPA Data Compared To Published National Data
FACULTY SALARIES FALL 2004 NKU CUPA Data Compard To Publishd National Data May 2005 Fall 2004 NKU Faculty Salaris Compard To Fall 2004 Publishd CUPA Data In th fall 2004 Northrn Kntucky Univrsity was among
More informationArchitecture of the proposed standard
Architctur of th proposd standard Introduction Th goal of th nw standardisation projct is th dvlopmnt of a standard dscribing building srvics (.g.hvac) product catalogus basd on th xprincs mad with th
More informationCARE QUALITY COMMISSION ESSENTIAL STANDARDS OF QUALITY AND SAFETY. Outcome 10 Regulation 11 Safety and Suitability of Premises
CARE QUALITY COMMISSION ESSENTIAL STANDARDS OF QUALITY AND SAFETY Outcom 10 Rgulation 11 Safty and Suitability of Prmiss CQC Rf 10A 10A(1) Lad Dirctor / Lad Officr Rspons Impact Liklihood Lvl of Concrn
More informationI. INTRODUCTION. Figure 1, The Input Display II. DESIGN PROCEDURE
Ballast Dsign Softwar Ptr Grn, Snior ighting Systms Enginr, Intrnational Rctifir, ighting Group, 101S Spulvda Boulvard, El Sgundo, CA, 9045438 as prsntd at PCIM Europ 0 Abstract: W hav dvlopd a Windows
More informationIntroduction to RF Engineering. Andrew CLEGG
Introduction to RF Engineering Andrew CLEGG 1 Comparing the Lingo Radio Astronomers Speak a Unique Vernacular We are receiving interference from your transmitter at a level of 10 janskys What the ^#$&
More informationJune 2012. Enprise Rent. Enprise 1.1.6. Author: Document Version: Product: Product Version: SAP Version: 8.81.100 8.8
Jun 22 Enpris Rnt Author: Documnt Vrsion: Product: Product Vrsion: SAP Vrsion: Enpris Enpris Rnt 88 88 Enpris Rnt 22 Enpris Solutions All rights rsrvd No parts of this work may b rproducd in any form or
More informationGravity Chapter 8 Homework answers (Dec. 2009)
Gravity Chaptr 8 Howork answrs (Dc 2009) 1 Givn th valu of littlg at th quator is 97801 /s 2, what is th valu of gravity at th North Pol or South Pol? Gravity varis with latitud according to this Intrnational
More informationAgnes Muszynska Bently Rotor Dynamics Research Corporation Hinden. Nevada 89423
ROTOR/BEARING SYSTEM DYNAMIC STIFFNESS MEASUREMENTS BY NONSYNCHRONOUS PERTURBATION Agns Muszynska Bntly Rotor Dynamics Rsarch Corporation Hindn. Nvada 89423 Swp prturbation tsting as usd in Modal Analysis
More informationCIRCUITS AND ELECTRONICS. Basic Circuit Analysis Method (KVL and KCL method)
6. CIRCUITS AND ELECTRONICS Basic Circuit Analysis Mthod (KVL and KCL mthod) Cit as: Anant Agarwal and Jffry Lang, cours matrials for 6. Circuits and Elctronics, Spring 7. MIT 6. Fall Lctur Rviw Lumpd
More informationWAVELENGTH SCALING OF LITHIUMLIKE RECOMBINATION SCHEME FOR XUV GAIN PRODUCTION
WAVELENGTH SCALING OF LITHIUMLIKE RECOMBINATION SCHEME FOR XUV GAIN PRODUCTION A. Carillon, F. Gadi, B. GauthÉ, H. Gunnou, P. Jaglé, G. Jamlot, A. Klisnick, C. Möllr, A. Surau To cit this vrsion: A.
More informationA Note on Approximating. the Normal Distribution Function
Applid Mathmatical Scincs, Vol, 00, no 9, 4549 A Not on Approimating th Normal Distribution Function K M Aludaat and M T Alodat Dpartmnt of Statistics Yarmouk Univrsity, Jordan Aludaatkm@hotmailcom and
More informationSection 7.4: Exponential Growth and Decay
1 Sction 7.4: Exponntial Growth and Dcay Practic HW from Stwart Txtbook (not to hand in) p. 532 # 117 odd In th nxt two ction, w xamin how population growth can b modld uing diffrntial quation. W tart
More informationDept. of Materials Science and Engineering. Problem Set 8 Solutions
MSE 30/ECE 30 Elctrical Prortis Of Matrials Dt. of Matrials Scinc and Enginring Fall 0/Bill Knowlton Problm St 8 Solutions. Using th rlationshi of n i n i i that is a function of E g, rcrat th lot shown
More informationKeywords Cloud Computing, Service level agreement, cloud provider, business level policies, performance objectives.
Volum 3, Issu 6, Jun 2013 ISSN: 2277 128X Intrnational Journal of Advancd Rsarch in Computr Scinc and Softwar Enginring Rsarch Papr Availabl onlin at: wwwijarcsscom Dynamic Ranking and Slction of Cloud
More informationConstraintBased Analysis of Gene Deletion in a Metabolic Network
ConstraintBasd Analysis of Gn Dltion in a Mtabolic Ntwork Abdlhalim Larhlimi and Alxandr Bockmayr DFGRsarch Cntr Mathon, FB Mathmatik und Informatik, Fri Univrsität Brlin, Arnimall, 3, 14195 Brlin, Grmany
More informationSection 55 Inverse of a Square Matrix
 Invrs of a Squar Matrix 9 (D) Rank th playrs from strongst to wakst. Explain th rasoning hind your ranking. 68. Dominan Rlation. Eah mmr of a hss tam plays on math with vry othr playr. Th rsults ar givn
More informationSample Solution to Problem Set 1
College of Computer & Information Science Spring 21 Northeastern University Handout 3 CS 671: Wireless Networks 19 February 21 Sample Solution to Problem Set 1 1. (1 points) Applying lowpass and bandpass
More informationAn Adaptive Clustering MAP Algorithm to Filter Speckle in Multilook SAR Images
An Adaptiv Clustring MAP Algorithm to Filtr Spckl in Multilook SAR Imags FÁTIMA N. S. MEDEIROS 1,3 NELSON D. A. MASCARENHAS LUCIANO DA F. COSTA 1 1 Cybrntic Vision Group IFSC Univrsity of São Paulo Caia
More informationThe recoil nature of electrostatic and gravitational forces
BULLETIN OF THE POLISH ACADEMY OF SCIENCES TECHNICAL SCIENCES Vol. 55, No. 4, 7 Th roil natur of ltrostati and gravitational fors S.L. HAHN Polish Aadmy of Sins, 1 Dfilad Sq., 91 Warszawa, Poland Abstrat.
More informationThe Coverage Analysis for Low Earth Orbiting Satellites at Low Elevation
(IJACSA) Intrnational Journal of Advancd Computr Scinc and Applications, Vol. 5, No. 6, 14 Th Covrag Analysis for Low Earth Orbiting Satllits at Low Elvation Shklzn Cakaj 1, Bxht Kamo 1, Algnti Lala 1,
More informationTopic: Introduction to Brayton Cycle
MAE41Enrgy Systm Prsntation Topic: Introduction to Brayton Cycl Prpard by: L Lng Fng 1. Gas Turb powr Plant.. History of Brayton Cycl.. Air standard Brayton Cycl 4. Work and Hat Transfr Brayton cycl.
More informationC H A P T E R 1 Writing Reports with SAS
C H A P T E R 1 Writing Rports with SAS Prsnting information in a way that s undrstood by th audinc is fundamntally important to anyon s job. Onc you collct your data and undrstand its structur, you nd
More informationHSMS282x Surface Mount RF Schottky Barrier Diodes. Data Sheet. Description/Applications. Features. Package Lead Code Identification, SOT363
HSMS282x Surfac Mount RF Schottky arrir iods ata Sht scription/pplications Ths Schottky diods ar spcifically dsignd for both analog and digital applications. This sris offrs a wid rang of spcifica tions
More informationInternational Association of Scientific Innovation and Research (IASIR) (An Association Unifying the Sciences, Engineering, and Applied Research)
Intrnational Association of Scintific Innovation and Rsarch (IASIR) (An Association Unifing th Scincs, Enginring, and Applid Rsarch) ISSN (Print): 79000 ISSN (Onlin): 79009 Intrnational Journal of Enginring,
More information7 Timetable test 1 The Combing Chart
7 Timtabl tst 1 Th Combing Chart 7.1 Introduction 7.2 Tachr tams two workd xampls 7.3 Th Principl of Compatibility 7.4 Choosing tachr tams workd xampl 7.5 Ruls for drawing a Combing Chart 7.6 Th Combing
More informationChapter 5 Capacitance and Dielectrics
5 5 5 Chaptr 5 Capacitanc and Dilctrics 5.1 Introduction... 53 5. Calculation of Capacitanc... 54 Exampl 5.1: ParalllPlat Capacitor... 54 Exampl 5.: Cylindrical Capacitor... 56 Exampl 5.3: Sphrical
More informationContinuity Cloud Virtual Firewall Guide
Cloud Virtual Firwall Guid uh6 Vrsion 1.0 Octobr 2015 Foldr BDR Guid for Vam Pag 1 of 36 Cloud Virtual Firwall Guid CONTENTS INTRODUCTION... 3 ACCESSING THE VIRTUAL FIREWALL... 4 HYPERV/VIRTUALBOX CONTINUITY
More informationCourse: PHYSICS PHY 102. Textbook: College Physics by Serway/Vuille. These notes were written by Professor HMDimas.
urs: PHYSIS 0  PHY 0 Txtbk: llg Physics by Srway/Vuill Ths nts wr writtn by Prfssr HMDimas. Th purps f ths nts is t facilitat t th studnt th rading f th txtbk, as wll as th undrstanding f th cncpts. Th
More informationPLx. Data Sheet. HSMS285x Series Surface Mount Zero Bias Schottky Detector Diodes. SOT323 Package Lead Code Identification (top view) Description
HSMS285x Sris Surfac Mount Zro ias Schottky tctor iods ata Sht scription vago s HSMS285x family of zro bias Schottky dtctor diods has bn dsignd and optimizd for us in small signal (in
More informationFEASIBILITY STUDY OF JUST IN TIME INVENTORY MANAGEMENT ON CONSTRUCTION PROJECT
FEASIBILITY STUDY OF JUST IN TIME INVENTORY MANAGEMENT ON CONSTRUCTION PROJECT Patil Yogndra R. 1, Patil Dhananjay S. 2 1P.G.Scholar, Dpartmnt of Civil Enginring, Rajarambapu Institut of Tchnology, Islampur,
More information