Chapter 19: Electric Charges, Forces, and Fields ( ) ( 6 )( 6


 Lee Long
 2 years ago
 Views:
Transcription
1 Chapte 9 lectic Chages, Foces, an Fiels 6 9. One in a million (0 ) ogen molecules in a containe has lost an electon. We assume that the lost electons have been emove fom the gas altogethe. Fin the numbe of electons fom the infomation given in the poblem, an then multipl b the chage pe electon of C. Multipl the numbe of electons b e Q f nn e A mol mol.60 0 C 0.8 C. A lage numbe of electons an potons ae collecte togethe into a single sstem. Use the total numbe of chages an the electical chage of the sstem to etemine the numbe of potons an electons. Sum the pouct of the paticle numbes an thei masses to fin the total mass.. (a) Wite out euations fo the total numbe of N + N 55 chages an thei chage ( p e). Substitute the fist euation into the secon an solve fo e p e N N Q ( 55 e) N. (b) Detemine N N p p 55 Ne e e N Ne Q C Ne ( 55 Qe) C. Fin the total mass M Nm + Nm total e e p p kg kg kg + 0. Two chages of uneual magnitue eet an electostatic foce on each othe. Use Coulomb s law (euation 95) to fin the magnitue of the foce between the two chages.. (a) Appl euation 95 iectl ( 6 )( 6 ). 0 C. 0 C 9 F k N m / C.9 N ( 0.55 m). (b) The magnitue of the electostatic foce epens upon the pouct of the chages of both paticles, so the negative chage epeiences a foce magnitue that is the same as that epeience b the positive chage. 6. Thee chages ae aange as inicate in the figue an eet electostatic foces on each othe. Let the ais be along the line of the thee chages with the positive iection pointing to the ight. Use Coulomb s law (euation 95) an the supeposition of foces to fin the electostatic foce (magnitue an iection) on. The foce fom will be attactive an to the left, an the foce fom will be attactive an to the ight.. (a) Wite Coulomb s law using vecto notation F F + F k + k
2 . Substitute the chage magnitues given in the figue k k F [ + ] (.0) + (.0)(.0) [ ] [ ] ( 9 )( N m / C 0 C ) k.0.0 ( 0 N) ( 0.9 m). The electostatic foce on is 0 N 0. kn towa. (b) If the istance wee tiple, the magnitue woul be cut to a ninth an the iection woul be unchange. 9. A poton is situate below a 0.5 nc chage such that the upwa electical foce on the poton just balances the ownwa gavitational foce. The positivel chage poton must be positione below the negative chage so that the upwa foce of electical attaction will balance the ownwa foce of gavit on the poton. Set the magnitues of the two foces eual to each othe an solve fo. +e 0.5 nc Set the magnitues F F an solve fo e g ke ke ke ( N m / C )( C)(.60 0 C) (.6 0 kg)( 9.8 m/s ) 5500 m 5.5 km below. Fou chages ae situate at the cones of a suae as shown in the iagam at the ight. The foce on chage is a vecto sum of the foces fom the othe thee chages. Let be at the oigin an be on the negative ais. Use Coulomb s law (euation 95) to fin the vecto sum of the thee foces, fom which we can fin the magnitue an iection of the electostatic foce on.. (a) Fin F. Fin F. Fin F (.0 )(.0 ) 6.0 k k k F (.0 )(.0 ) k k k F (.0 ) k k.0 k F ( ). Fin the vecto sum of the thee foces 5. Fin the iection of F fom the + ais 6.0k.0 k k.0 k F + (.0 ) ( ).0k ( )( ) N m / C. 0 C + F + ( 0. m) (.5 N) (.8 N) F,.8 N θ tan tan 66 F.5 N, (.0 ) ( )
3 6. Fin the magnitue of F.5 N +.8 N 8.5 N F. (b) If the istance wee ouble, the magnitue of the foce woul be cut to onefouth an the iection woul be unchange.. Thee chages ae aange along the ais as inicate in the figue an eet electostatic foces on each othe. Let the ais be along the line of the thee chages with the positive iection pointing to the ight. Let epesent the istance between an. Use Coulomb s law (euation 95) an the supeposition of foces to fin the electostatic foce (magnitue an iection) on an set it eual to zeo. Supposing to be a positive chage, the foce fom will be epulsive an to the ight, an the foce fom will be attactive an to the left. Fin the appopiate value of b fining the oots of the esulting uaatic epession.. (a) Use Coulomb s law to set 0 set F F + F k k 0 F ( D). Set the magnitues of the two tems eual to each othe, ivie both sies b k an simplif b iviing both sies b an then taking the suae oot D ( ) D D ± D 0 cm 5.8 cm, 5 cm ± ± 5. µ C 9.9 µ C. (b) No, the answe to pat (a) oes not epen on whethe is positive o negative. If wee negative, it woul be pulle to the left b an pushe to the ight b, so the foces woul still balance at 5 cm. 5. Two chages ae place on the ais as shown at ight an ceate an electic fiel in the space aoun them. Use euation 98 to fin the magnitue an iection of the electic fiels ceate b each of the two chages at the specifie locations, then fin the vecto sum of those fiels to fin the electic fiel. At.0 cm the fiel fom will point in the iection an the fiel fom will point in the + iection..0 cm 0.0 cm 0.0 cm. (a) Sum the fiels pouce b the two chages at.0 cm. (b) Repeat fo.0 cm k k ( ) + k C C ( N m / C ) + (.0 0 N/C ) ( 0.00 m) ( 0.0 m) k k + k C C ( N m / C ) + ( N/C ) ( 0.00 m) ( m). An electic chage epeiences an upwa foce ue to the pesence of an electic fiel. The negative chage epeiences an upwa electic foce, so we can conclue the electic fiel points ownwa. Set the magnitue of the electic foce (euation 99) eual to the magnitue of the weight in oe to fin the magnitue of the electic fiel. Then use the known electic fiel to fin the foce an hence the acceleation of the object when its chage is ouble. Let upwa be the positive iection.
4 . (a) Set F an solve fo. (b) Use Newton's Secon Law to fin a ( 0.0kg ))( 9.8 m/s ) C ( ) ma ( ) (. 0 N/C) F F F ma ma g ma a g ( 9.8 m/s ). 0 N/C 8. Thee chages ae positione as shown at ight. ach of the thee chages pouces its own electic fiel that suouns it. The total electic fiel at an point is the vecto sum of the fiels fom each chage. Use euation 90 an the component metho of vecto aition to fin the magnitue electic fiel at the points inicate in the poblem statement. Let be at the oigin an be on the positive ais.. (a) At a point halfwa between chages an the vectos an cancel one anothe. The emaining contibution comes fom. Fin the istance fom to the mipoint of the opposite sie. Appl euation 90 to fin m m 9 6 k N m / C C ( m) N/C. (b) At this location, the electic fiels fom an a, an the esulting fiel points towa. The fiel ue to will have the same magnitue as foun in pat (a) an will be pepenicula to the combine fiels of an. The vecto sum of the electic fiels fom all thee chages will have a magnitue geate than that foun in pat (a).. (c) Fin the components of 5. Fin the components of 6. Fin the components of. Let an fin the vecto sum 8. Detemine the magnitue of k k + + k k cos 60 sin 60 ( cos0 sin 0 ) + + k + + k k cos 60 sin 60 ( ) 9 6 ( )( ) k N m / C C 8.0 ( m) N/C 9 MN/C
5 50. Thee ientical chages ae place as shown in the figue at the ight. ach of the thee chages pouces its own electic fiel that suouns it. The total electic fiel at an point is the vecto sum of the fiels fom each chage. As illustate in the figue, at the mipoint of an of the thee sies of the tiangle two of the thee vectos will cancel. Use euation 90 to fin the magnitue electic fiel at the mipoints b fining the magnitue of the thi, unbalance vecto.. (a) Fist fin the istance fom to the mipoint of the opposite sie + 0. m 0.8 m 9 ( Nm )(. 0 C). Now appl euation 90 k. 0 N/C C 6 ( 0.8). (b) Due to smmet, the thee electic fiel vectos at the cente of the tiangle cancel out an the fiel thee is zeo. So, the magnitue thee is less than that at the mipoint of a sie. 95. A positivel chage sphee attache to a elae, hoizontal sping slies without fiction as it is attacte to a negative chage that is bought to a hoizontal istance 0. m fom the cente of the sphee, at which point the sphee is in euilibium. Set the foce of electostatic attaction between the two chages eual to the sping foce that hols the sphee in static euilibium, an solve fo. At that point the sphee has move 0. m towa the chage, so that the two ae a istance 0. m apat.. Set the foce kq + on the sphee eual to zeo F k ( ). Solve the esulting s epession fo ( ) s 0 kq k ± kq k s ( N m / C )( C)(. 0 C) kq ± 0. m ± k s 0.5 m o m (the negative oot is etaneous) ( 89. N/m)( 0. m) Insight If the point chage wee positivel chage an bought to the location, the sping woul compess until the sping foce balances the electostatic foce, an the sphee woul come to euilibium at 0.06 m. T veifing this solution ouself, but be foewane the solution involves fining the oots of a cubic euation in! 5
Analytical Proof of Newton's Force Laws
Analytical Poof of Newton s Foce Laws Page 1 1 Intouction Analytical Poof of Newton's Foce Laws Many stuents intuitively assume that Newton's inetial an gavitational foce laws, F = ma an Mm F = G, ae tue
More informationVoltage ( = Electric Potential )
V1 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 information2. TRIGONOMETRIC FUNCTIONS OF GENERAL ANGLES
. TRIGONOMETRIC FUNCTIONS OF GENERAL ANGLES In ode to etend the definitions of the si tigonometic functions to geneal angles, we shall make use of the following ideas: In a Catesian coodinate sstem, an
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 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 informationHow many times have you seen something like this?
VOL. 77, NO. 4, OTOR 2004 251 Whee the amea Was KTHRN McL. YRS JMS M. HNL Smith ollege Nothampton, M 01063 jhenle@math.smith.eu How many times have you seen something like this? Then Now Souces: outesy
More informationSkills Needed for Success in Calculus 1
Skills Needed fo Success in Calculus Thee is much appehension fom students taking Calculus. It seems that fo man people, "Calculus" is snonmous with "difficult." Howeve, an teache of Calculus will tell
More informationForces & Magnetic Dipoles. r r τ = μ B r
Foces & Magnetic Dipoles x θ F θ F. = AI τ = U = Fist electic moto invented by Faaday, 1821 Wie with cuent flow (in cup of Hg) otates aound a a magnet Faaday s moto Wie with cuent otates aound a Pemanent
More information4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first nonzero 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 informationPHYSICS 111 HOMEWORK SOLUTION #13. May 1, 2013
PHYSICS 111 HOMEWORK SOLUTION #13 May 1, 2013 0.1 In intoductoy physics laboatoies, a typical Cavendish balance fo measuing the gavitational constant G uses lead sphees with masses of 2.10 kg and 21.0
More informationChapter 2 Coulomb s Law
Chapte Coulomb s Law.1 lectic Chage...3. Coulomb's Law...3 Animation.1: Van de Gaaff Geneato...4.3 Pinciple of Supeposition...5 xample.1: Thee Chages...5.4 lectic Field...7 Animation.: lectic Field
More informationHip Hop solutions of the 2N Body problem
Hip Hop solutions of the N Boy poblem Esthe Baabés baabes@ima.ug.es Depatament Infomàtica i Matemàtica Aplicaa, Univesitat e Giona. Josep Maia Cos cos@eupm.upc.es Depatament e Matemàtica Aplicaa III, Univesitat
More informationProblem Set # 9 Solutions
Poblem Set # 9 Solutions Chapte 12 #2 a. The invention of the new highspeed chip inceases investment demand, which shifts the cuve out. That is, at evey inteest ate, fims want to invest moe. The incease
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 information10. Collisions. Before During After
10. Collisions Use conseation of momentum and enegy and the cente of mass to undestand collisions between two objects. Duing a collision, two o moe objects exet a foce on one anothe fo a shot time: F(t)
More informationPRICING MODEL FOR COMPETING ONLINE AND RETAIL CHANNEL WITH ONLINE BUYING RISK
PRICING MODEL FOR COMPETING ONLINE AND RETAIL CHANNEL WITH ONLINE BUYING RISK Vaanya Vaanyuwatana Chutikan Anunyavanit Manoat Pinthong Puthapon Jaupash Aussaavut Dumongsii Siinhon Intenational Institute
More informationThe Role of Gravity in Orbital Motion
! The Role of Gavity in Obital Motion Pat of: Inquiy Science with Datmouth Developed by: Chistophe Caoll, Depatment of Physics & Astonomy, Datmouth College Adapted fom: How Gavity Affects Obits (Ohio State
More informationCLOSE RANGE PHOTOGRAMMETRY WITH CCD CAMERAS AND MATCHING METHODS  APPLIED TO THE FRACTURE SURFACE OF AN IRON BOLT
CLOSE RANGE PHOTOGRAMMETR WITH CCD CAMERAS AND MATCHING METHODS  APPLIED TO THE FRACTURE SURFACE OF AN IRON BOLT Tim Suthau, John Moé, Albet Wieemann an Jens Fanzen Technical Univesit of Belin, Depatment
More informationMultiple choice questions [70 points]
Multiple choice questions [70 points] Answe all of the following questions. Read each question caefull. Fill the coect bubble on ou scanton sheet. Each question has exactl one coect answe. All questions
More informationCHAPTER 5 GRAVITATIONAL FIELD AND POTENTIAL
CHATER 5 GRAVITATIONAL FIELD AND OTENTIAL 5. Intoduction. This chapte deals with the calculation of gavitational fields and potentials in the vicinity of vaious shapes and sizes of massive bodies. The
More informationA r. (Can you see that this just gives the formula we had above?)
241 (SJP, Phys 1120) lectic flux, and Gauss' law Finding the lectic field due to a bunch of chages is KY! Once you know, you know the foce on any chage you put down  you can pedict (o contol) motion
More informationDeflection of Electrons by Electric and Magnetic Fields
Physics 233 Expeiment 42 Deflection of Electons by Electic and Magnetic Fields Refeences Loain, P. and D.R. Coson, Electomagnetism, Pinciples and Applications, 2nd ed., W.H. Feeman, 199. Intoduction An
More informationPhys 2101 Gabriela González. cos. sin. sin
1 Phys 101 Gabiela González a m t t ma ma m m T α φ ω φ sin cos α τ α φ τ sin m m α τ I We know all of that aleady!! 3 The figue shows the massive shield doo at a neuton test facility at Lawence Livemoe
More informationLesson 7 Gauss s Law and Electric Fields
Lesson 7 Gauss s Law and Electic Fields Lawence B. Rees 7. You may make a single copy of this document fo pesonal use without witten pemission. 7. Intoduction While it is impotant to gain a solid conceptual
More informationChapte 3 Is Gavitation A Results Of Asymmetic Coulomb Chage Inteactions? Jounal of Undegaduate Reseach èjurè Univesity of Utah è1992è, Vol. 3, No. 1, pp. 56í61. Jeæey F. Gold Depatment of Physics, Depatment
More informationContinuous Compounding and Annualization
Continuous Compounding and Annualization Philip A. Viton Januay 11, 2006 Contents 1 Intoduction 1 2 Continuous Compounding 2 3 Pesent Value with Continuous Compounding 4 4 Annualization 5 5 A Special Poblem
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 informationThings to Remember. r Complete all of the sections on the Retirement Benefit Options form that apply to your request.
Retiement Benefit 1 Things to Remembe Complete all of the sections on the Retiement Benefit fom that apply to you equest. If this is an initial equest, and not a change in a cuent distibution, emembe to
More informationAN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM
AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM Main Golub Faculty of Electical Engineeing and Computing, Univesity of Zageb Depatment of Electonics, Micoelectonics,
More informationest using the formula I = Prt, where I is the interest earned, P is the principal, r is the interest rate, and t is the time in years.
9.2 Inteest Objectives 1. Undestand the simple inteest fomula. 2. Use the compound inteest fomula to find futue value. 3. Solve the compound inteest fomula fo diffeent unknowns, such as the pesent value,
More informationSTUDENT RESPONSE TO ANNUITY FORMULA DERIVATION
Page 1 STUDENT RESPONSE TO ANNUITY FORMULA DERIVATION C. Alan Blaylock, Hendeson State Univesity ABSTRACT This pape pesents an intuitive appoach to deiving annuity fomulas fo classoom use and attempts
More informationCHAPTER 9 THE TWO BODY PROBLEM IN TWO DIMENSIONS
9. Intoduction CHAPTER 9 THE TWO BODY PROBLEM IN TWO DIMENSIONS In this chapte we show how Keple s laws can be deived fom Newton s laws of motion and gavitation, and consevation of angula momentum, and
More informationVISCOSITY OF BIODIESEL FUELS
VISCOSITY OF BIODIESEL FUELS One of the key assumptions fo ideal gases is that the motion of a given paticle is independent of any othe paticles in the system. With this assumption in place, one can use
More informationThe advent of ecommerce has prompted many manufacturers to redesign their traditional
Diect Maketing, Iniect Pofits: A Stategic Analysis of DualChannel SupplyChain Design Weiyu Kevin Chiang Dilip Chhaje James D. Hess Depatment of Infomation Systems, Univesity of Maylan at Baltimoe County,
More informationQuestions for Review. By buying bonds This period you save s, next period you get s(1+r)
MACROECONOMICS 2006 Week 5 Semina Questions Questions fo Review 1. How do consumes save in the twopeiod model? By buying bonds This peiod you save s, next peiod you get s() 2. What is the slope of a consume
More informationSolutions to Problems: Chapter 7
Solution to Poblem: Chapte 7 P71. P72. P73. P74. Authoized and available hae LG 2; Baic a. Maximum hae available fo ale Authoized hae 2,000,000 Le: Shae outtanding 1,400,000 Available hae 600,000 b.
More information2. Orbital dynamics and tides
2. Obital dynamics and tides 2.1 The twobody poblem This efes to the mutual gavitational inteaction of two bodies. An exact mathematical solution is possible and staightfowad. In the case that one body
More informationSpirotechnics! September 7, 2011. Amanda Zeringue, Michael Spannuth and Amanda Zeringue Dierential Geometry Project
Spiotechnics! Septembe 7, 2011 Amanda Zeingue, Michael Spannuth and Amanda Zeingue Dieential Geomety Poject 1 The Beginning The geneal consensus of ou goup began with one thought: Spiogaphs ae awesome.
More informationRelativistic Quantum Mechanics
Chapte Relativistic Quantum Mechanics In this Chapte we will addess the issue that the laws of physics must be fomulated in a fom which is Loentz invaiant, i.e., the desciption should not allow one to
More informationValuation of Floating Rate Bonds 1
Valuation of Floating Rate onds 1 Joge uz Lopez us 316: Deivative Secuities his note explains how to value plain vanilla floating ate bonds. he pupose of this note is to link the concepts that you leaned
More informationConcept and Experiences on using a Wikibased System for Softwarerelated Seminar Papers
Concept and Expeiences on using a Wikibased System fo Softwaeelated Semina Papes Dominik Fanke and Stefan Kowalewski RWTH Aachen Univesity, 52074 Aachen, Gemany, {fanke, kowalewski}@embedded.wthaachen.de,
More informationStructure and evolution of circumstellar disks during the early phase of accretion from a parent cloud
Cente fo Tubulence Reseach Annual Reseach Biefs 2001 209 Stuctue and evolution of cicumstella disks duing the ealy phase of accetion fom a paent cloud By Olusola C. Idowu 1. Motivation and Backgound The
More informationwww.sakshieducation.com
Viscosity. The popety of viscosity in gas is due to ) Cohesive foces between the moecues ) Coisions between the moecues ) Not having a definite voume ) Not having a definite size. When tempeatue is inceased
More informationThe Effect of Modified Gravity on Solar System Scales
The Effect of Modified Gavity on Sola System Scales Dane Pittock Physics Depatment Case Westen Reseve Univesity Cleveland, Ohio 44106 USA May 3, 013 Abstact Duing my senio poject, I have exploed the effects
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 informationGravitational Mechanics of the MarsPhobos System: Comparing Methods of Orbital Dynamics Modeling for Exploratory Mission Planning
Gavitational Mechanics of the MasPhobos System: Compaing Methods of Obital Dynamics Modeling fo Exploatoy Mission Planning Alfedo C. Itualde The Pennsylvania State Univesity, Univesity Pak, PA, 6802 This
More informationSummary: Vectors. This theorem is used to find any points (or position vectors) on a given line (direction vector). Two ways RT can be applied:
Summ: Vectos ) Rtio Theoem (RT) This theoem is used to find n points (o position vectos) on given line (diection vecto). Two ws RT cn e pplied: Cse : If the point lies BETWEEN two known position vectos
More informationProduct reviews by third parties are growing in popularity. This paper examines when and how a manufacturing
Vol. 24, No. 2, Sping 2005, pp. 218 240 issn 07322399 eissn 1526548X 05 2402 0218 infoms oi 10.1287/mksc.1040.0089 2005 INFORMS ThiPaty Pouct Review an Fim Maketing Stategy Yubo Chen Elle College of
More informationCANCER, HEART ATTACK OR STROKE CLAIM FORM
CANCER, HEART ATTACK OR STROKE CLAIM FORM Please ead the impotant infomation below: We suggest you make photocopies of any infomation sent fo you own ecods. Please be sue you policy numbe(s) is/ae witten
More informationEquity compensation plans New Income Statement impact on guidance Earnings Per Share Questions and answers
Investos/Analysts Confeence: Accounting Wokshop Agenda Equity compensation plans New Income Statement impact on guidance Eanings Pe Shae Questions and answes IAC03 / a / 1 1 Equity compensation plans The
More informationSELFINDUCTANCE AND INDUCTORS
MISN0144 SELFINDUCTANCE AND INDUCTORS SELFINDUCTANCE AND INDUCTORS by Pete Signell Michigan State Univesity 1. Intoduction.............................................. 1 A 2. SelfInductance L.........................................
More informationFI3300 Corporate Finance
Leaning Objectives FI00 Copoate Finance Sping Semeste 2010 D. Isabel Tkatch Assistant Pofesso of Finance Calculate the PV and FV in multipeiod multicf timevalueofmoney poblems: Geneal case Pepetuity
More informationCLOUD MPA Series MixerAmplifiers
CLOUD MPA Seies MixeAmplifies Clealy bette soun 48.6 mm 19 88 mm 3½ (U) MPA Seies  font panel view (MPA40 illustate) MPA Seies  ea panel view ( illustate) Geneal Desciption The Clou MPA Seies is intene
More informationFaithful Comptroller s Handbook
Faithful Comptolle s Handbook Faithful Comptolle s Handbook Selection of Faithful Comptolle The Laws govening the Fouth Degee povide that the faithful comptolle be elected, along with the othe offices
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 informationImpulse and Linear Momentum 5
Implse and Linea Momentm 5 How does jet poplsion wok? How can yo mease the speed of a bllet? Wold a meteoite collision significantly change Eath s obit? In pevios chaptes we discoveed that the pshing inteaction
More informationDiscussion on Fuzzy Logic Operation of Impedance Control for Upper Limb Rehabilitation Robot 1,a Zhai Yan
Intenational Confeence on Automation, Mechanical Contol an Computational Engineeing (AMCCE 05) Discussion on Fuzzy Logic Opeation of Impeance Contol fo Uppe Limb Rehabilitation Robot,a Zhai Yan,b Guo Xiaobo
More informationSupplementary Material for EpiDiff
Supplementay Mateial fo EpiDiff Supplementay Text S1. Pocessing of aw chomatin modification data In ode to obtain the chomatin modification levels in each of the egions submitted by the use QDCMR module
More informationMining Relatedness Graphs for Data Integration
Mining Relatedness Gaphs fo Data Integation Jeemy T. Engle (jtengle@indiana.edu) Ying Feng (yingfeng@indiana.edu) Robet L. Goldstone (goldsto@indiana.edu) Indiana Univesity Bloomington, IN. 47405 USA Abstact
More informationYARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH
nd INTERNATIONAL TEXTILE, CLOTHING & ESIGN CONFERENCE Magic Wold of Textiles Octobe 03 d to 06 th 004, UBROVNIK, CROATIA YARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH Jana VOBOROVA; Ashish GARG; Bohuslav
More informationElectric Potential. otherwise to move the object from initial point i to final point f
PHY2061 Enched Physcs 2 Lectue Notes Electc Potental Electc Potental Dsclame: These lectue notes ae not meant to eplace the couse textbook. The content may be ncomplete. Some topcs may be unclea. These
More informationChapter 4: Fluid Kinematics
Oveview Fluid kinematics deals with the motion of fluids without consideing the foces and moments which ceate the motion. Items discussed in this Chapte. Mateial deivative and its elationship to Lagangian
More informationAMB111F Financial Maths Notes
AMB111F Financial Maths Notes Compound Inteest and Depeciation Compound Inteest: Inteest computed on the cuent amount that inceases at egula intevals. Simple inteest: Inteest computed on the oiginal fixed
More informationGESTÃO FINANCEIRA II PROBLEM SET 1  SOLUTIONS
GESTÃO FINANCEIRA II PROBLEM SET 1  SOLUTIONS (FROM BERK AND DEMARZO S CORPORATE FINANCE ) LICENCIATURA UNDERGRADUATE COURSE 1 ST SEMESTER 20102011 Chapte 1 The Copoation 113. What is the diffeence
More informationMAGNT Research Report (ISSN. 14448939) Vol.3 (2). PP: 267278
Analysis of Relationship between Knowlege Management an Paticipatoy Management base on the Moeating Role of Oganizational Cultue in Bank Melli of Razavi Khoasan Povince Ggolafshani 1. S. M. Ghayou 2 1,2
More informationOffice of Family Assistance. Evaluation Resource Guide for Responsible Fatherhood Programs
Office of Family Assistance Evaluation Resouce Guide fo Responsible Fathehood Pogams Contents Intoduction........................................................ 4 Backgound..........................................................
More informationThe Supply of Loanable Funds: A Comment on the Misconception and Its Implications
JOURNL OF ECONOMICS ND FINNCE EDUCTION Volume 7 Numbe 2 Winte 2008 39 The Supply of Loanable Funds: Comment on the Misconception and Its Implications. Wahhab Khandke and mena Khandke* STRCT Recently FieldsHat
More informationHow Much Should a Firm Borrow. Effect of tax shields. Capital Structure Theory. Capital Structure & Corporate Taxes
How Much Should a Fim Boow Chapte 19 Capital Stuctue & Copoate Taxes Financial Risk  Risk to shaeholdes esulting fom the use of debt. Financial Leveage  Incease in the vaiability of shaeholde etuns that
More informationAntiLock Braking System Training Program
COVERST.EPS ac T to $2.50 BS A AntiLock Baking System Taining Pogam Student Manual TP9738 Revised 399 Module 1 ABS Components and System Opeation Module 2 ABS Diagnosis and Repai Module 3 ATC Opeation,
More informationINITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS
INITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS Vesion:.0 Date: June 0 Disclaime This document is solely intended as infomation fo cleaing membes and othes who ae inteested in
More informationChapter 11: Aggregate Demand II, Applying the ISLM Model Th LM t
Equilibium in the  model The cuve epesents equilibium in the goods maket. Chapte :, Applying the  Model Th t C ( T) I( ) G The cuve epesents money maket equilibium. M L(, ) The intesection detemines
More informationA statistical development of fixed odds betting rules in soccer
A statistical evelopment of fixe os betting ules in socce Ian Milline 1, Paul White 1 an Don J. Webbe 2 1 Depatment of Mathematics an Statistics, Univesity of the West of Englan, Bistol, UK 2 Depatment
More informationA PID Tuning Method for Tracking Control of an Underactuated Gantry Crane
Univesal Jounal of Engineeing echanics 1 (13), 4549 www.aesciences.com A PID Tuning etho fo Tacing Contol of an Uneactuate Ganty Cane. Nazemizaeh Deatment of echanics, Damavan Banch, Islamic Aza Univesity,
More informationCONCEPT OF TIME AND VALUE OFMONEY. Simple and Compound interest
CONCEPT OF TIME AND VALUE OFMONEY Simple and Compound inteest What is the futue value of shs 10,000 invested today to ean an inteest of 12% pe annum inteest payable fo 10 yeas and is compounded; a. Annually
More informationDefinitions and terminology
I love the Case & Fai textbook but it is out of date with how monetay policy woks today. Please use this handout to supplement the chapte on monetay policy. The textbook assumes that the Fedeal Reseve
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 informationChris J. Skinner The probability of identification: applying ideas from forensic statistics to disclosure risk assessment
Chis J. Skinne The pobability of identification: applying ideas fom foensic statistics to disclosue isk assessment Aticle (Accepted vesion) (Refeeed) Oiginal citation: Skinne, Chis J. (2007) The pobability
More information883 Brochure A5 GENE ss vernis.indd 12
ess x a eu / u e a. p o.eu c e / :/ http EURAXESS Reseaches in Motion is the gateway to attactive eseach caees in Euope and to a pool of woldclass eseach talent. By suppoting the mobility of eseaches,
More informationBasic Financial Mathematics
Financial Engineeing and Computations Basic Financial Mathematics Dai, TianShy Outline Time Value of Money Annuities Amotization Yields Bonds Time Value of Money PV + n = FV (1 + FV: futue value = PV
More informationReduced Pattern Training Based on Task Decomposition Using Pattern Distributor
> PNN05P762 < Reduced Patten Taining Based on Task Decomposition Using Patten Distibuto ShengUei Guan, Chunyu Bao, and TseNgee Neo Abstact Task Decomposition with Patten Distibuto (PD) is a new task
More information9.5 Amortization. Objectives
9.5 Aotization Objectives 1. Calculate the payent to pay off an aotized loan. 2. Constuct an aotization schedule. 3. Find the pesent value of an annuity. 4. Calculate the unpaid balance on a loan. Congatulations!
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 informationThe impact of migration on the provision. of UK public services (SRG.10.039.4) Final Report. December 2011
The impact of migation on the povision of UK public sevices (SRG.10.039.4) Final Repot Decembe 2011 The obustness The obustness of the analysis of the is analysis the esponsibility is the esponsibility
More informationHow to create a default user profile in Windows 7
AnswesThatWok TM How to ceate a default use pofile in Windows 7 (Win 7) How to ceate a default use pofile in Windows 7 When to use this document Use this document wheneve you want to ceate a default use
More informationFirstmark Credit Union Commercial Loan Department
Fistmak Cedit Union Commecial Loan Depatment Thank you fo consideing Fistmak Cedit Union as a tusted souce to meet the needs of you business. Fistmak Cedit Union offes a wide aay of business loans and
More informationInstructions to help you complete your enrollment form for HPHC's Medicare Supplemental Plan
Instuctions to help you complete you enollment fom fo HPHC's Medicae Supplemental Plan Thank you fo applying fo membeship to HPHC s Medicae Supplement plan. Pio to submitting you enollment fom fo pocessing,
More informationMETHODOLOGICAL APPROACH TO STRATEGIC PERFORMANCE OPTIMIZATION
ETHODOOGICA APPOACH TO STATEGIC PEFOANCE OPTIIZATION ao Hell * Stjepan Vidačić ** Željo Gaača *** eceived: 4. 07. 2009 Peliminay communication Accepted: 5. 0. 2009 UDC 65.02.4 This pape pesents a matix
More informationIgnorance is not bliss when it comes to knowing credit score
NET GAIN Scoing points fo you financial futue AS SEEN IN USA TODAY SEPTEMBER 28, 2004 Ignoance is not bliss when it comes to knowing cedit scoe By Sanda Block USA TODAY Fom Alabama comes eassuing news
More informationHomework 8. problems: 10.40, 10.73, 11.55, 12.43
Hoework 8 probles: 0.0, 0.7,.55,. Proble 0.0 A block of ass kg an a block of ass 6 kg are connecte by a assless strint over a pulley in the shape of a soli isk having raius R0.5 an ass M0 kg. These blocks
More informationStatistics and Data Analysis
Pape 27425 An Extension to SAS/OR fo Decision System Suppot Ali Emouznead Highe Education Funding Council fo England, Nothavon house, Coldhabou Lane, Bistol, BS16 1QD U.K. ABSTRACT This pape exploes the
More informationHow to recover your Exchange 2003/2007 mailboxes and emails if all you have available are your PRIV1.EDB and PRIV1.STM Information Store database
AnswesThatWok TM Recoveing Emails and Mailboxes fom a PRIV1.EDB Exchange 2003 IS database How to ecove you Exchange 2003/2007 mailboxes and emails if all you have available ae you PRIV1.EDB and PRIV1.STM
More informationSmall Motors Gearmotors Motion Controls
BODIE ELECTRIC COMPAY BODIE ELECTRIC COMPAY Small Mots Geamots Motion Contols MOTOR & GEARMOTOR 1. SELECTIO 2. GUIDE. IT S AS EASY AS 3. Ceated by the Bodine Electic Company, this Mot and Geamot Selection
More informationCONCEPTUAL FRAMEWORK FOR DEVELOPING AND VERIFICATION OF ATTRIBUTION MODELS. ARITHMETIC ATTRIBUTION MODELS
CONCEPUAL FAMEOK FO DEVELOPING AND VEIFICAION OF AIBUION MODELS. AIHMEIC AIBUION MODELS Yui K. Shestopaloff, is Diecto of eseach & Deelopment at SegmentSoft Inc. He is a Docto of Sciences and has a Ph.D.
More informationHow to create RAID 1 mirroring with a hard disk that already has data or an operating system on it
AnswesThatWok TM How to set up a RAID1 mio with a dive which aleady has Windows installed How to ceate RAID 1 mioing with a had disk that aleady has data o an opeating system on it Date Company PC / Seve
More informationINVESTIGATION OF FLOW INSIDE AN AXIALFLOW PUMP OF GV IMP TYPE
1 INVESTIGATION OF FLOW INSIDE AN AXIALFLOW PUMP OF GV IMP TYPE ANATOLIY A. YEVTUSHENKO 1, ALEXEY N. KOCHEVSKY 1, NATALYA A. FEDOTOVA 1, ALEXANDER Y. SCHELYAEV 2, VLADIMIR N. KONSHIN 2 1 Depatment of
More informationDefine What Type of Trader Are you?
Define What Type of Tade Ae you? Boke Nightmae srs Tend Ride By Vladimi Ribakov Ceato of Pips Caie 20 of June 2010 1 Disclaime and Risk Wanings Tading any financial maket involves isk. The content of this
More informationTrading Volume and Serial Correlation in Stock Returns in Pakistan. Abstract
Tading Volume and Seial Coelation in Stock Retuns in Pakistan Khalid Mustafa Assistant Pofesso Depatment of Economics, Univesity of Kaachi email: khalidku@yahoo.com and Mohammed Nishat Pofesso and Chaiman,
More informationStrength Analysis and Optimization Design about the key parts of the Robot
Intenational Jounal of Reseach in Engineeing and Science (IJRES) ISSN (Online): 23209364, ISSN (Pint): 23209356 www.ijes.og Volume 3 Issue 3 ǁ Mach 2015 ǁ PP.2529 Stength Analysis and Optimization Design
More informationFast FPTalgorithms for cleaning grids
Fast FPTalgoithms fo cleaning gids Josep Diaz Dimitios M. Thilikos Abstact We conside the poblem that given a gaph G and a paamete k asks whethe the edit distance of G and a ectangula gid is at most k.
More information