2008–09 UEFA Cup and Voltmeter: Difference between pages

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[[Image:Voltmeter_hg.jpg|thumb|Historical voltmeter from the physics class]]
{{current sport}}
{{Infobox International Football Competition
| tourney_name = UEFA Cup
| year = 2008–09
| other_titles =
| image =
| size =
| caption =
| country =
| dates = [[17 July]] [[2008]] – [[20 May]] [[2009]]
| num_teams = 157
| confederations =
| venues =
| cities =
| champion_other =
| count =
| second_other =
| third_other =
| fourth_other =
| matches = 107
| goals = 297
| attendance =
}}
[[Image:UEFA Regions.png|thumb|The regions in a map]]
The '''UEFA Cup 2008-09''' is the 38th edition of the [[UEFA Cup]] [[football (soccer)|football]] tournament. The final will be played at the [[Şükrü Saracoğlu Stadium]], home ground of [[Fenerbahçe S.K.|Fenerbahçe]], in [[Istanbul]], [[Turkey]] on [[20 May]] [[2009]].<ref>{{cite web |url=http://www.fenerbahce.org/eng/detay.asp?ContentID=718 |title=Şükrü Saracoğlu Stadium selected for 2009 UEFA Cup Final |accessdate=2007-09-05 |coauthors=Eugene Ravdin & Paolo Menicucci |date=[[2007-09-05]] |publisher=[[UEFA]] }}</ref>


A '''voltmeter''' is an instrument used for measuring the [[electrical potential]] difference between two points in an electric circuit. Analog voltmeters move a pointer across a scale in proportion to the voltage of the circuit; digital voltmeters give a numerical display of voltage by use of an [[analog to digital converter]].
==Qualification==
119 teams have qualified directly for the 2008-09 [[UEFA Cup]] from 53 UEFA associations. An additional three teams qualified via the UEFA Fair Play league, while 35 further teams will qualify from the [[UEFA Intertoto Cup]] and the [[UEFA Champions League]]. Each association enters a certain number of teams to the [[UEFA Cup]] based on its [[UEFA coefficients|league co-efficient]]. Through domestic competitions (national championships and cups and league cups in certain countries) an association may qualify up to four teams. Below is the qualification scheme for the 2008-09 [[UEFA Cup]]:


Voltmeters are made in a wide range of styles. Instruments permanently mounted in a panel are used to monitor generators or other fixed apparatus. Small portable instruments, usually equipped to also measure current and resistance in the form of a [[multimeter]], are standard test instruments used in electrical and electronics work. Any measurement that can be converted to a voltage can be displayed on a meter that is suitably calibrated; for example, pressure, temperature, flow or level in a chemical process plant.
*Associations 1-6 each have 3 teams qualify
*Associations 7-8 each have 4 teams qualify
*Associations 9-15 each have 2 teams qualify
*Associations 16-21 each have 3 teams qualify
*Associations 22-53 each have 2 teams qualify - with the exception of Liechtenstein (38), Andorra (51) and San Marino (52) who have 1 team
plus''
*3 UEFA Fair Play entries
*11 winners of the [[UEFA Intertoto Cup 2008]]
*16 losers from the [[UEFA Champions League 2008-09#Third qualifying round|UEFA Champions League third qualifying round]]
*8 third-placed teams from the [[UEFA Champions League 2008-09#Group stage|UEFA Champions League group stage]]


General purpose analog voltmeters may have an accuracy of a few per cent of full scale, and are used with voltages from a fraction of a volt to several thousand volts. Digital meters can be made with high accuracy, typically better than 1%. Specially calibrated test instruments have higher accuracies, with laboratory instruments capable of measuring to accuracies of a few parts per million. Meters using [[amplifier]]s can measure tiny voltages of microvolts or less.
'''First qualifying round: (74 teams)'''
*33 Cup-winners from associations 21-53
*32 runners-up from associations 19-37, 39-50 and 53
*6 third-place finishers from associations 16-21
*3 entries through UEFA Fair Play


Part of the problem of making an accurate voltmeter is that of calibration to check its accuracy. In laboratories, the [[Weston Cell]] is used as a standard voltage for precision work. Precision voltage references are available based on electronic circuits.
'''Second qualifying round: (64 teams)'''
*37 winners from the first qualifying round
*6 Cup-winners from associations 15-20
*7 third-place finishers from associations 9-15
*3 runners-up from associations 16-18
*11 entries from [[UEFA Intertoto Cup]]


==Analog voltmeter==
'''First round: (80 teams)'''
[[Image:Galvanometer diagram.png|thumb| A moving coil galvanometer of the [[d'Arsonval]] type. <font face="arial" color="red">Wire carrying current to be measured</font><br><font face ="arial" color="green">Restoring spring</font><br>N and S are poles of magnet]]
*32 winners from the second qualifying round
*14 National cup-winners from associations 1-14
*2 third-place finishers from associations 7-8
*5 fourth-place finishers from associations 4-8
*7 fifth-place finishers from associations 1-3, 5-8
*2 sixth-place finishers from associations 1-2
*2 League cup-winners from associations 3-4
*16 entries from [[UEFA Champions League 2008-09#Third qualifying round|UEFA Champions League third qualifying round]]


A '''moving coil [[galvanometer]]''' can be used as a voltmeter by inserting a resistor in series with the instrument. It employs a small coil of fine wire suspended in a strong magnetic field. When an electrical current is applied, the galvanometer's indicator rotates and compresses a small spring. The angular rotation is proportional to the current through the coil. For use as a voltmeter, a series resistance is added so that the current through the meter, and, therefore, the angular rotation of the needle, becomes proportional to the applied voltage.
'''Group stage: (40 teams)'''
*40 winners from the First Round


One of the design objectives of the instrument is to disturb the circuit as little as possible and so the instrument should draw a minimum of current to operate. This is achieved by using a sensitive ammeter or microammeter in series with a high resistance.
'''Knockout stage: (32 teams)'''
*24 top-three finishers from the group stage
*8 entries from [[UEFA Champions League 2008-09#Group stage|UEFA Champions League group stage]]


The sensitivity of such a meter can be expressed as "ohms per volt", the number of ohms resistance in the meter circuit divided by the full scale measured value. For example a meter with a sensitivity of 1000 ohms per volt would draw 1 milliampere at full scale voltage; if the full scale was 200 volts, the resistance at the instrument's terminals would be 200,000 ohms and at full scale the meter would draw 1 milliampere from the circuit under test. For multi-range instruments, the input resistance varies as the instrument is switched to different ranges.
{| class="wikitable"
|-
!colspan="4"|Round of 32
|-
|{{flagicon}} [[UEFA Champions League 2008-09#Group stage|UCL]] entry[[#fn 1|<sup>1</sup>]]<!--Group A-->||{{flagicon}} [[UEFA Champions League 2008-09#Group stage|UCL]] entry[[#fn 1|<sup>1</sup>]]<!--Group C-->||{{flagicon}} [[UEFA Champions League 2008-09#Group stage|UCL]] entry[[#fn 1|<sup>1</sup>]]<!--Group E-->||{{flagicon}} [[UEFA Champions League 2008-09#Group stage|UCL]] entry[[#fn 1|<sup>1</sup>]]<!--Group G-->
|-
|{{flagicon}} [[UEFA Champions League 2008-09#Group stage|UCL]] entry[[#fn 1|<sup>1</sup>]]<!--Group B-->||{{flagicon}} [[UEFA Champions League 2008-09#Group stage|UCL]] entry[[#fn 1|<sup>1</sup>]]<!--Group D-->||{{flagicon}} [[UEFA Champions League 2008-09#Group stage|UCL]] entry[[#fn 1|<sup>1</sup>]]<!--Group F-->||{{flagicon}} [[UEFA Champions League 2008-09#Group stage|UCL]] entry[[#fn 1|<sup>1</sup>]]<!--Group H-->
|-
!colspan="4"|First round
|-
|{{flagicon|ESP}} [[Valencia CF|Valencia]]||{{flagicon|GER}} [[Hamburger SV|Hamburg]]||{{flagicon|NED}} [[SC Heerenveen|Heerenveen]]||{{flagicon|DEN}} [[AaB Football|Aalborg BK]] / {{flagicon|LTU}} [[FBK Kaunas|Kaunas]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|ESP}} [[Sevilla FC|Sevilla]]||{{flagicon|GER}} [[VfL Wolfsburg|Wolfsburg]]||{{flagicon|NED}} [[NEC (football club)|NEC]] |||{{flagicon|ESP}} [[FC Barcelona|Barcelona]] / {{flagicon|POL}} [[Wisła Kraków]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|ESP}} [[Racing de Santander|Racing Santander]]||{{flagicon|GER}} [[Borussia Dortmund]]||{{flagicon|RUS}} [[PFC CSKA Moscow|CSKA Moscow]]||{{flagicon|BUL}} [[PFC Levski Sofia|Levski Sofia]] / {{flagicon|BLR}} [[FC BATE|BATE]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|ENG}} [[Portsmouth F.C.|Portsmouth]]||{{flagicon|POR}} [[S.L. Benfica|Benfica]]||{{flagicon|SCO}} [[Motherwell F.C.|Motherwell]]||{{flagicon|BEL}} [[Standard Liège]] / {{flagicon|ENG}} [[Liverpool F.C.|Liverpool]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|ENG}} [[Everton F.C.|Everton]]||{{flagicon|POR}} [[C.S. Marítimo|Marítimo]]||{{flagicon|UKR}} [[Metalist Kharkiv]]||{{flagicon|SER}} [[FK Partizan|Partizan]] / {{flagicon|TUR}} [[Fenerbahçe S.K.|Fenerbahçe]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|ENG}} [[Tottenham Hotspur F.C.|Tottenham Hotspur]]||{{flagicon|POR}} [[Vitória F.C.|Vitória Setúbal]]||{{flagicon|BEL}} [[Club Brugge K.V.|Club Brugge]]||{{flagicon|NED}} [[FC Twente|Twente]] / {{flagicon|ENG}} [[Arsenal F.C.|Arsenal]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|ITA}} [[A.C. Milan|Milan]]||{{flagicon|ROU}} [[FC Rapid Bucureşti|Rapid Bucureşti]]||{{flagicon|CZE}} [[Baník Ostrava]]||{{flagicon|RUS}} [[FC Spartak Moscow|Spartak Moscow]] / {{flagicon|UKR}} [[FC Dynamo Kyiv|Dynamo Kyiv]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|ITA}} [[U.C. Sampdoria|Sampdoria]]||{{flagicon|ROU}} [[FC Dinamo Bucureşti|Dinamo Bucureşti]]||{{flagicon|TUR}} [[Kayserispor]][[#fn 3|<sup>3</sup>]]||{{flagicon|ITA}} [[Juventus F.C.|Juventus]] / {{flagicon|SVK}} [[FC Artmedia Petržalka|Artmedia Petržalka]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|ITA}} [[Udinese Calcio|Udinese]]||{{flagicon|ROU}} [[FC Unirea Voluntari Urziceni|Unirea Urziceni]]||{{flagicon|CYP}} [[Anorthosis Famagusta FC|Anorthosis Famagusta]] / {{flagicon|GRE}} [[Olympiacos F.C.|Olympiacos]][[#fn 2|<sup>2</sup>]]||{{flagicon|NOR}} [[SK Brann|Brann]] / {{flagicon|FRA}} [[Olympique de Marseille|Marseille]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|FRA}} [[AS Nancy-Lorraine|Nancy]]||{{flagicon|ROU}} [[FC Timişoara|Timişoara]]||{{flagicon|POR}} [[Vitória S.C.|Vitória Guimarães]] / {{flagicon|SUI}} [[FC Basel|Basel]][[#fn 2|<sup>2</sup>]]||{{flagicon|ITA}} [[ACF Fiorentina|Fiorentina]] / {{flagicon|CZE}} [[Slavia Prague]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|FRA}} [[AS Saint-Etienne|Saint-Etienne]]||{{flagicon|NED}} [[Feyenoord]]||{{flagicon|UKR}} [[FC Shakhtar Donetsk|Shakhtar Donetsk]] / {{flagicon|CRO}} [[NK Dinamo Zagreb|Dinamo Zagreb]][[#fn 2|<sup>2</sup>]]||{{flagicon|TUR}} [[Galatasaray S.K.|Galatasaray]] / {{flagicon|ROU}} [[FC Steaua Bucureşti|Steaua Bucureşti]][[#fn 2|<sup>2</sup>]]
|-
|{{flagicon|FRA}} [[Paris Saint-Germain FC|Paris St-Germain]]||{{flagicon|NED}} [[AFC Ajax|Ajax]]||{{flagicon|GER}} [[FC Schalke 04|Schalke 04]] / {{flagicon|ESP}} [[Atlético Madrid]][[#fn 2|<sup>2</sup>]]||{{flagicon|GRE}} [[Panathinaikos F.C.|Panathinaikos]] / {{flagicon|CZE}} [[Sparta Prague]][[#fn 2|<sup>2</sup>]]
|-
!colspan="4"|Second qualifying round
|-
|{{flagicon|RUS}} [[FC Moscow]]||{{flagicon|GRE}} [[Aris Thessaloniki FC|Aris Thessaloniki]]||{{flagicon|ISR}} [[Maccabi Netanya F.C.|Maccabi Netanya]][[#fn 3|<sup>3</sup>]]||{{flagicon|POR}} [[S.C. Braga|Braga]][[#fn 4|<sup>4</sup>]]
|-
|{{flagicon|SCO}} [[Queen of the South F.C.|Queen of the South]]||{{flagicon|BUL}} [[Litex Lovech]]||{{flagicon|SER}} [[Red Star Belgrade]][[#fn 3|<sup>3</sup>]]||{{flagicon|ROU}} [[F.C. Vaslui|Vaslui]][[#fn 4|<sup>4</sup>]]
|-
|{{flagicon|UKR}} [[Dnipro Dnipropetrovsk]] ||{{flagicon|BUL}} [[PFC Lokomotiv Sofia|Lokomotiv Sofia]]||{{flagicon|ESP}} [[Deportivo La Coruña|Deportivo]][[#fn 4|<sup>4</sup>]]||{{flagicon|SUI}} [[Grasshopper-Club Zürich|Grasshopper]][[#fn 4|<sup>4</sup>]]
|-
|{{flagicon|BEL}} [[K.A.A. Gent|Gent]]||{{flagicon|SUI}} [[BSC Young Boys|Young Boys]]||{{flagicon|ENG}} [[Aston Villa F.C.|Aston Villa]][[#fn 4|<sup>4</sup>]]||{{flagicon|NOR}} [[Rosenborg BK|Rosenborg]][[#fn 4|<sup>4</sup>]]
|-
|{{flagicon|CZE}} [[Slovan Liberec]]||{{flagicon|SUI}} [[FC Zürich|Zürich]]||{{flagicon|ITA}} [[SSC Napoli|Napoli]][[#fn 4|<sup>4</sup>]]||{{flagicon|AUT}} [[SK Sturm Graz|Sturm Graz]][[#fn 4|<sup>4</sup>]]
|-
|{{flagicon|TUR}} [[Beşiktaş J.K.|Beşiktaş]] ||{{flagicon|NOR}} [[Lillestrøm SK|Lillestrøm]]||{{flagicon|FRA}} [[Stade Rennais FC|Rennes]][[#fn 4|<sup>4</sup>]]||{{flagicon|SWE}} [[IF Elfsborg|Elfsborg]][[#fn 4|<sup>4</sup>]]
|-
|{{flagicon|GRE}} [[AEK Athens F.C.|AEK Athens]]||{{flagicon|NOR}} [[Stabæk Fotball|Stabæk]]||{{flagicon|GER}} [[VfB Stuttgart|Stuttgart]][[#fn 4|<sup>4</sup>]]
|-
!colspan="4"|First qualifying round
|-
|{{flagicon|BUL}} [[PFC Cherno More Varna|Cherno More]]||{{flagicon|CRO}} [[Hajduk Split]]||{{flagicon|GEO}} [[FC Zestaponi|Zestaponi]]||{{flagicon|KAZ}} [[FC Shakhter|Shakhter Karagandy]]
|-
|{{flagicon|SUI}} [[AC Bellinzona|Bellinzona]]||{{flagicon|CYP}} [[APOEL F.C.|APOEL]]||{{flagicon|GEO}} [[FC WIT Georgia|WIT Georgia]]||{{flagicon|NIR}} [[Glentoran F.C.|Glentoran]]
|-
|{{flagicon|NOR}} [[Viking FK|Viking]]||{{flagicon|CYP}} [[Omonia Nicosia|Omonia]]||{{flagicon|LIE}} [[FC Vaduz]]||{{flagicon|NIR}} [[Cliftonville F.C.|Cliftonville]]<ref name="Northern Ireland">Cup finalists [[Coleraine F.C.|Coleraine]] have [http://www.belfasttelegraph.co.uk/sport/football/local/article3617592.ece failed] to gain a UEFA licence. With the other finalist, [[Linfield F.C.|Linfield]], qualifying for the UEFA Champions League, the 3rd placed team in the league qualifies for the UEFA Cup.</ref>
|-
|{{flagicon|ISR}} [[Ironi Kiryat Shmona]]||{{flagicon|SWE}} [[Kalmar FF|Kalmar]]||{{flagicon|MKD}} [[FK Milano Kumanovo|Milano]]||{{flagicon|WAL}} [[Bangor City F.C.|Bangor City]]
|-
|{{flagicon|ISR}} [[Hapoel Tel Aviv F.C.|Hapoel Tel Aviv]]||{{flagicon|SWE}} [[Djurgårdens IF Fotboll|Djurgården]]||{{flagicon|MKD}} [[FK Pelister|Pelister]]||{{flagicon|WAL}} [[The New Saints F.C.|The New Saints]]
|-
|{{flagicon|SER}} [[FK Vojvodina|Vojvodina]]||{{flagicon|SLO}} [[Interblock Ljubljana]]||{{flagicon|ISL}} [[Fimleikafélag Hafnarfjarðar|FH]]||{{flagicon|FRO}} [[EB/Streymur]]
|-
|{{flagicon|SER}} [[FK Borac Čačak|Borac Čačak]]<ref name="Zemun">Although qualified as Serbian Cup runner-up, [[FK Zemun]] did not gain a UEFA license because of the club's poor finances. [[FK Borac Čačak|Borac Čačak]] got Zemun's UEFA Cup spot as the 4th-placed team in the 2007–08 Serbian Superliga final standings.</ref>||{{flagicon|SLO}} [[FC Koper|Koper]]||{{flagicon|ISL}} [[Íþróttabandalag Akraness|ÍA]]||{{flagicon|FRO}} [[B36 Tórshavn]]
|-
|{{flagicon|DEN}} [[Brøndby IF|Brøndby]]||{{flagicon|BIH}} [[HŠK Zrinjski Mostar|Zrinjski Mostar]]||{{flagicon|BLR}} [[FC MTZ-RIPO|MTZ-RIPO]]||{{flagicon|LUX}} [[CS Grevenmacher|Grevenmacher]]
|-
|{{flagicon|DEN}} [[FC Midtjylland|Midtjylland]]||{{flagicon|BIH}} [[NK Široki Brijeg|Široki Brijeg]]||{{flagicon|BLR}} [[FC Gomel|Gomel]]||{{flagicon|LUX}} [[Racing FC Union Luxembourg|Racing]]
|-
|{{flagicon|DEN}} [[F.C. Copenhagen|Copenhagen]]||{{flagicon|LAT}} [[FHK Liepājas Metalurgs|Liepājas Metalurgs]]||{{flagicon|ALB}} [[KS Vllaznia Shkodër|Vllaznia Shkodër]]||{{flagicon|MLT}} [[Birkirkara FC|Birkirkara]]
|-
|{{flagicon|AUT}} [[FC Red Bull Salzburg|Red Bull Salzburg]]||{{flagicon|LAT}} [[JFK Olimps Rīga|Olimps]]||{{flagicon|ALB}} [[KF Partizani|Partizani]]||{{flagicon|MLT}} [[Marsaxlokk FC|Marsaxlokk]]
|-
|{{flagicon|AUT}} [[Austria Wien]]<ref name="Austria">According [[UEFA coefficients]] Austrian cup-winner is supposed to play in this round, but as [[Austrian Cup]] is reserved only for amateur teams this season, this qualification spot is given to 3rd-placed team from league competition.</ref>||{{flagicon|LTU}} [[FK Sūduva|Sūduva]]||{{flagicon|EST}} [[FC Flora Tallinn|Flora]]||{{flagicon|AND}} [[UE Sant Julià|Sant Julià]]
|-
|{{flagicon|POL}} [[Legia Warsaw]]||{{flagicon|LTU}} [[Vėtra Vilnius|Vėtra]]||{{flagicon|EST}} [[FC TVMK Tallinn|TVMK]]||{{flagicon|SMR}} [[A.C. Juvenes/Dogana|Juvenes/Dogana]]
|-
|{{flagicon|POL}} [[Lech Poznań]]||{{flagicon|FIN}} [[FC Haka|Haka]]||{{flagicon|ARM}} [[FC Ararat Yerevan|Ararat Yerevan]]||{{flagicon|MNE}} [[FK Mogren|Mogren]]
|-
|{{flagicon|HUN}} [[Győri ETO FC|Győri ETO]]||{{flagicon|FIN}} [[FC Honka|Honka]]||{{flagicon|ARM}} [[FC Banants|Banants Yerevan]]||{{flagicon|MNE}} [[FK Zeta|Zeta]]
|-
|{{flagicon|HUN}} [[Debreceni VSC|Debrecen]]||{{flagicon|MDA}} [[FC Dacia Chişinău|Dacia Chişinău]]||{{flagicon|AZE}} [[FK Khazar Lenkoran|Khazar Lenkoran]]||{{flagicon|ENG}} [[Manchester City]]<ref name="English Fair Play">{{cite web| title = England earn Fair Play prize| publisher = [[UEFA]] | date = 2008-05-13| url =http://www.uefa.com/competitions/uefacup/news/kind=1/newsid=693443.html| accessdate = 2008-05-13}}</ref><ref name=manc>{{cite web |url=http://news.bbc.co.uk/sport2/hi/football/teams/m/man_city/7392552.stm |title= Man City claim last Uefa Cup slot |date=[[2008-05-16]] |publisher=[[BBC Sport]] }}</ref>
|-
|{{flagicon|SVK}} [[MŠK Žilina]]||{{flagicon|MDA}} [[Nistru Otaci]]||{{flagicon|AZE}} [[FK Olimpik Baku|Olimpik Baku]]||{{flagicon|DEN}} [[FC Nordsjælland|Nordsjælland]]<ref name="bonus">{{cite web| title = Fair Play bonus for Germans and Danes| publisher = [[UEFA]] | date = 2008-05-13| url = http://www.uefa.com/competitions/uefacup/news/kind=1/newsid=695145.html| accessdate = 2008-05-13}}</ref><ref name="Nordsjælland">{{cite news | url=http://www.dbu.dk/news/newsShow.aspx?id=246581| title=FC Nordsjælland i UEFA Cup'en| publisher=Dansk Boldspil-Union| date=| accessdate=2008-05-25}}</ref>
|-
|{{flagicon|SVK}} [[Spartak Trnava]]||{{flagicon|IRL}} [[Cork City F.C.|Cork City]]||{{flagicon|KAZ}} [[FC Tobol|Tobol]]||{{flagicon|GER}} [[Hertha BSC]]<ref name="bonus">{{cite web| title = Fair Play bonus for Germans and Danes| publisher = [[UEFA]] | date = 2008-05-13| url = http://www.uefa.com/competitions/uefacup/news/kind=1/newsid=695145.html| accessdate = 2008-05-13}}</ref><ref name="German Fair Play">{{cite web| title = Hertha BSC gewinnt nationale Fairplay-Wertung| publisher = Bundesliga.de | date = 2008-05-18| url = http://www.bundesliga.de/de/liga/news/2007/index.php?f=94357.php&fla=1| accessdate = 2008-05-18}}</ref>
|-
|{{flagicon|CRO}} [[NK Slaven Belupo|Slaven Belupo]]||{{flagicon|IRL}} [[St Patrick's Athletic F.C.|St Patrick's Athletic]]||colspan="2"|
|}


Moving-coil instruments respond only to direct current; measuremnent of AC voltage requires a [[rectifier]] in the circuit so that the coil deflects in only one direction. Moving-coil instruments are also made with the zero position in the middle of the scale instead of at one end; these are useful if the voltage reverses its polarity.
*{{fnb|1}} [[UEFA Champions League 2008-09|UEFA Champions League]] group stage third-placed team of each group
*{{fnb|2}} Losers of [[UEFA Champions League 2008-09|UEFA Champions League]] third qualifying round
*{{fnb|3}} ''Moved up from the lower qualifiying round due to the Title Holder entry not being used.''
*{{fnb|4}} Third round winners of [[UEFA Intertoto Cup 2008|UEFA Intertoto Cup]]


Voltmeters operating on the electrostatic principle use the mutual repulsion between two charged plates to deflect a pointer attached to a spring. Meters of this type draw negligible current but are sensitive to voltages over about 100 volts and work with either alternating or direct current.
== Round and draw dates ==
The calendar shows the dates of the rounds and draw.


== Vacuum Tube Voltmeter (VTVM) ==
{| class="wikitable"
The sensitivity and input resistance of a voltmeter can be increased if the current required to deflect the meter pointer is supplied by an amplifier instead of the circuit under test. A once- popular form of voltmeter of this type was the vacuum tube voltmeter, frequently referred to as a VTVM. Today these instruments use a solid-state amplifier using [[field-effect transistor]]s. The electronic amplifier between input and meter gives two benefits; a rugged moving coil instrument can be used, since its sensitivity need not be high, and the input resistance can be made high, reducing the current drawn from the circuit under test. Amplified voltmeters often have an input resistance of 1, 10, or 20 megohms which is independent of the range selected.
|-
!Date
!Event
!Date
!Event
|-
|[[1 July]] [[2008]]
|Draw for first qualifying round
|[[17 December]] [[2008]]
|rowspan="2"|Group stage, Matchday 5
|-
|[[17 July]] [[2008]]
|First qualifying round, first leg
|[[18 December]] [[2008]]
|-
|[[31 July]] [[2008]]
|First qualifying round, second leg
|[[19 December]] [[2008]]
|Draw for Round of 32 and Round of 16
|-
|[[1 August]] [[2008]]
|Draw for second qualifying round
|[[18 February]] [[2009]]
|rowspan="2"|Round of 32, first leg
|-
|[[14 August]] [[2008]]
|Second qualifying round, first leg
|[[19 February]] [[2009]]
|-
|[[28 August]] [[2008]]
|Second qualifying round, second leg
|[[26 February]] [[2009]]
|Round of 32, second leg
|-
|[[29 August]] [[2008]]
|Draw for first round
|[[12 March]] [[2009]]
|Round of 16, first leg
|-
|[[18 September]] [[2008]]
|First round, first leg
|[[18 March]] [[2009]]
|rowspan="2"|Round of 16, second leg
|-
|[[2 October]] [[2008]]
|First round, second leg
|[[19 March]] [[2009]]
|-
|[[7 October]] [[2008]]
|Draw for group stage
|[[20 March]] [[2009]]
|Draw for remaining rounds
|-
|[[23 October]] [[2008]]
|Group stage, Matchday 1
|[[9 April]] [[2009]]
|Quarter-finals, first leg
|-
|[[6 November]] [[2008]]
|Group stage, Matchday 2
|[[16 April]] [[2009]]
|Quarter-finals, second leg
|-
|[[27 November]] [[2008]]
|Group stage, Matchday 3
|[[30 April]] [[2009]]
|Semi-finals, first leg
|-
|[[3 December]] [[2008]]
|rowspan="2"|Group stage, Matchday 4
|[[7 May]] [[2009]]
|Semi-finals, second leg
|-
|[[4 December]] [[2008]]
|[[20 May]] [[2009]]
|Final in [[Istanbul]], [[Turkey]]
|}


== Digital voltmeters ==
==Qualifying rounds==
[[Image:Voltmeter.jpg|thumb|right|200px|Two digital voltmeters. Note the 40 microvolt difference between the two [[measurement]]s, an offset of 34 parts per million.]]
<!--Please DO NOT make any seeded or unseeded teams.-->
The first ''digital'' voltmeter (DVM) was invented and produced by [[Andrew Kay]] of Non-Linear Systems (and later founder of [[Kaypro]]) in [[1954]].
===First qualifying round===
The draw for the first qualifying round took place on [[1 July]] [[2008]].<ref>{{cite web |url=http://www.uefa.com/competitions/uefacup/news/kind=1/newsid=723639.html |title=Dates for next season's UEFA Cup |date=[[2008-06-20]] |accessdate=2008-06-27 |publisher=[[BBC Sport]] }}</ref> The first legs were played on [[17 July]] [[2008]] and the second legs were played on [[31 July]] [[2008]], with the exception of the [[FC Nordsjælland|Nordsjælland]] vs [[FC TVMK Tallinn|TVMK]] match, which was played on [[29 July]] [[2008]].


Digital voltmeters use an electronic circuit that acts as an [[integrator]], linearly ramping output voltage when input voltage is constant (this can be realized with an [[Operational amplifier#Integrator|opamp]]). The dual-slope integrator method applies a known reference voltage to the integrator for a fixed time to ramp the integrator's output voltage up, then the unknown voltage is applied to ramp it back down, and the time to ramp output voltage down to zero is recorded (realized in an [[Analog to digital converter#ADC_structures|ADC]] implementation). The unknown voltage being measured is the product of the voltage reference and the ramp-up time divided by the ramp-down time. The voltage reference must remain constant during the ramp-up time, which may be difficult due to supply voltage and temperature variations.
{{TwoLegStart}}
!colspan="5"|Southern-Mediterranean region
{{TwoLegResult|'''[[PFC Cherno More Varna|Cherno More]]'''|BUL|9–0|[[UE Sant Julià|Sant Julià]]|AND|4–0|5–0}}
{{TwoLegResult|[[FK Pelister|Pelister]]|MKD|0–1|'''[[APOEL F.C.|APOEL]]'''|CYP|0–0|0–1}}
{{TwoLegResult|[[FC Vaduz|Vaduz]]|LIE|1–5|'''[[HŠK Zrinjski Mostar|Zrinjski Mostar]]'''|BIH|1–2|0–3}}
{{TwoLegResult|'''[[NK Široki Brijeg|Široki Brijeg]]'''|BIH|3–1|[[KF Partizani|Partizani]]|ALB|0–0|3–1}}
{{TwoLegResult|'''[[Hapoel Ironi Kiryat Shmona F.C.|Ironi Kiryat Shmona]]'''|ISR|4–1|[[FK Mogren|Mogren]]|MNE|1–1|3–0}}
{{TwoLegResult|[[FC Koper|Koper]]|SVN|1–2|'''[[KS Vllaznia Shkodër|Vllaznia Shkodër]]'''|ALB|1–2|0–0}}
{{TwoLegResult|[[FK Zeta|Zeta]]|MNE|1–2|'''[[Interblock Ljubljana]]'''|SVN|1–1|0–1}}
{{TwoLegResult|'''[[Hapoel Tel Aviv F.C.|Hapoel Tel Aviv]]'''|ISR|5–0|[[A.C. Juvenes/Dogana|Juvenes/Dogana]]|SMR|3–0|2–0}}
{{TwoLegResult|'''[[HNK Hajduk Split|Hajduk Split]]'''|CRO|7–0|[[Birkirkara F.C.|Birkirkara]]|MLT|4–0|3–0}}
{{TwoLegResult|'''[[AC Omonia|Omonia]]'''|CYP|4–1|[[FK Milano Kumanovo|Milano]]|MKD|2–0|2–1}}
{{TwoLegResult|[[Marsaxlokk F.C.|Marsaxlokk]]|MLT|0–8|'''[[NK Slaven Belupo|Slaven Belupo]]'''|CRO|0–4|0–4}}
|-
!colspan="5"|Central-East region
{{TwoLegResult|'''[[FC Red Bull Salzburg|Red Bull Salzburg]]'''|AUT|10–0|[[FC Banants|Banants Yerevan]]|ARM|7–0|3–0}}
{{TwoLegResult|'''[[Győri ETO FC|Győri ETO]]'''|HUN|3–2|[[FC Zestaponi|Zestaponi]]|GEO|1–1|2–1}}
{{TwoLegResult|[[FC Ararat Yerevan|Ararat Yerevan]]|ARM|1–4|'''[[AC Bellinzona|Bellinzona]]'''|SUI|0–1|1–3}}
{{TwoLegResult|[[FC Dacia Chişinău|Dacia Chişinău]]|MDA|2–4|'''[[FK Borac Čačak|Borac Čačak]]'''|SER|1–1|1–3[[#fn 5|<sup>5</sup>]]}}
{{TwoLegResult|[[FC Tobol|Tobol]]|KAZ|1–2|'''[[FK Austria Wien|Austria Wien]]'''|AUT|1–0|0–2}}
{{TwoLegResult|'''[[Hertha BSC Berlin|Hertha BSC]]'''|GER|8–1|[[FC Nistru Otaci|Nistru Otaci]]|MDA|8–1[[#fn 6|<sup>6</sup>]]|0–0[[#fn 7|<sup>7</sup>]]}}
{{TwoLegResult|[[FK Khazar Lenkoran|Khazar Lenkoran]]|AZE|1–5|'''[[Lech Poznań]]'''|POL|0–1|1–4}}
{{TwoLegResult|'''[[Legia Warsaw]]'''|POL|4–1|[[FC Gomel|Gomel]]|BLR|0–0|4–1}}
{{TwoLegResult|[[FC Spartak Trnava|Spartak Trnava]]|SVK|2–3|'''[[FC WIT Georgia|WIT Georgia]]'''|GEO|2–2|0–1}}
{{TwoLegResult|[[FC MTZ-RIPO|MTZ-RIPO]]|BLR|2–3|'''[[MŠK Žilina]]'''|SVK|2–2|0–1}}
{{TwoLegResult|[[FC Shakhter Karagandy|Shakhter Karagandy]]|KAZ|1–2|'''[[Debreceni VSC|Debrecen]]'''|HUN|1–1|0–1}}
{{TwoLegResult|'''[[FK Vojvodina|Vojvodina]]'''|SER|2–1|[[FK Olimpik Baku|Olimpik Baku]]|AZE|1–0|1–1}}
|-
!colspan="5"|Northern region
{{TwoLegResult|'''[[Fimleikafélag Hafnarfjarðar|FH]]'''|ISL|8–3|[[CS Grevenmacher|Grevenmacher]]|LUX|3–2|5–1}}
{{TwoLegResult|[[FK Vėtra|Vėtra]]|LTU|1–2|'''[[Viking FK|Viking]]'''|NOR|1–0|0–2}}
{{TwoLegResult|[[Racing FC Union Luxembourg|Racing]]|LUX|1–10|'''[[Kalmar FF|Kalmar]]'''|SWE|0–3|1–7}}
{{TwoLegResult|'''[[FC Honka|Honka]]'''|FIN|4–2|[[Íþróttabandalag Akraness|ÍA]]|ISL|3–0|1–2}}
{{TwoLegResult|[[Glentoran F.C.|Glentoran]]|NIR|1–3|'''[[FK Liepājas Metalurgs|Liepājas Metalurgs]]'''|LVA|1–1|0–2}}
{{TwoLegResult|'''[[Brøndby IF|Brøndby]]'''|DEN|3–0|[[B36 Tórshavn]]|FRO|1–0|2–0}}
{{TwoLegResult|[[FC TVMK Tallinn|TVMK]]|EST|0–8|'''[[FC Nordsjælland|Nordsjælland]]'''|DEN|0–3|0–5}}
{{TwoLegResult|[[EB/Streymur]]|FRO|0–4|'''[[Manchester City F.C.|Manchester City]]'''|ENG|0–2[[#fn 8|<sup>8</sup>]]|0–2[[#fn 9|<sup>9</sup>]]}}
{{TwoLegResult|[[JFK Olimps Rīga|Olimps]]|LVA|0–3|'''[[St Patrick's Athletic F.C.|St Patrick's Athletic]]'''|IRL|0–1|0–2}}
{{TwoLegResult|'''[[Djurgårdens IF Fotboll|Djurgården]]'''|SWE|([[away goals rule|a]]) 2–2|[[FC Flora Tallinn|Flora]]|EST|0–0[[#fn 10|<sup>10</sup>]]|2–2}}
{{TwoLegResult|'''[[FK Sūduva Marijampolė|Sūduva]]'''|LTU|2–0|[[The New Saints F.C.|The New Saints]]|WAL|1–0|1–0}}
{{TwoLegResult|[[Cliftonville F.C.|Cliftonville]]|NIR|0–11|'''[[F.C. Copenhagen|Copenhagen]]'''|DEN|0–4|0–7}}
{{TwoLegResult|[[Cork City F.C.|Cork City]]|IRL|2–6|'''[[FC Haka|Haka]]'''|FIN|2–2|0–4}}
{{TwoLegResult|[[Bangor City F.C.|Bangor City]]|WAL|1–10[[#fn 11|<sup>11</sup>]]|'''[[FC Midtjylland|Midtjylland]]'''|DEN|0–4|1–6[[#fn 12|<sup>12</sup>]]}}
|}


Digital voltmeters necessarily have input amplifiers and like vacuum tube voltmeters generally have a constant input resistance of 10 megohms regardless of set measurement range.
*{{fnb|5}} Played in [[Smederevo]] at [[Fortress Stadium]] as [[FK Borac Čačak|Borac Čačak]]'s [[Čačak Stadium|home ground]] did not meet UEFA criteria.
*{{fnb|6}} Played in [[Berlin]] at [[Friedrich Ludwig Jahn Sportpark]] because [[Olympiastadion Berlin|Olympiastadion]] was occupied by another event.<ref>[http://www.morgenpost.de/sport/hertha/article653097/Hertha_gegen_Nistru_im_Jahn_Sportpark_und_im_TV.html]</ref>
*{{fnb|7}} Played in [[Chisinau]] at [[Zimbru Stadium]] as [[FC Nistru Otaci|Nistru Otaci]]'s [[Stadionul Călărăşăuca|home ground]] did not meet UEFA criteria.
*{{fnb|8}} Played at [[Tórsvøllur]] as [[EB/Streymur]]'s [[Við Margáir|home ground]] did not meet UEFA criteria.
*{{fnb|9}} [[Manchester City F.C.|Manchester City]] played their home game at [[Oakwell Stadium]], home of [[Barnsley F.C.|Barnsley]], because the pitch at their [[City of Manchester Stadium|home ground]] needed to be relaid after a [[Bon Jovi]] concert.<ref>http://news.bbc.co.uk/sport1/hi/football/teams/m/man_city/7445562.stm Oakwell to host Man City tie</ref>
*{{fnb|10}} Played at [[Råsunda Stadium]] as [[Djurgårdens IF Fotboll|Djurgården]]'s [[Stockholms Stadion|home ground]] did not meet UEFA criteria.
*{{fnb|11}} [[FC Midtjylland|Midtjylland]] were originally drawn to play at home in the first leg, but the order of the games was reversed.
*{{fnb|12}} [[Bangor City F.C.|Bangor City]]'s home leg was played at [[Wrexham A.F.C.|Wrexham]]'s [[Racecourse Ground]], as their own ground did not meet UEFA criteria.


== Potentiometer ==
===Second qualifying round===
The draw for the second qualifying round was held on [[1 August]] [[2008]] in [[Nyon]], [[Switzerland]],<ref>{{cite news |title=Draws for UEFA Champions League and UEFA Cup |url=http://www.uefa.com/multimediafiles/download/pressrelease/uefa/uefamedia/73/42/19/734219_download.pdf |format=PDF |publisher=UEFA |date=[[2008-07-22]] |accessdate=2008-07-22 }}</ref> and featured 16 teams entering directly at the second qualifying round, as well as the 37 winners from the previous round and the 11 third round winners of the [[UEFA Intertoto Cup 2008|UEFA Intertoto Cup]]. The first legs will be played on [[14 August]] [[2008]] and the second leg on [[28 August]] [[2008]].


{{main|Potentiometer}}
Because there are an odd number of teams in the Central and Northern groups in the 2nd qualifying round, UEFA moved [[Stade Rennais F.C.|Rennes]] from the Central-East group to the Northern group. Furthermore [[FK Liepājas Metalurgs|Liepājas Metalurgs]] and [[FK Sūduva Marijampolė|Sūduva]] were moved from the Northern group to the Central-East group, and [[FC Vaslui|Vaslui]] and [[Interblock Ljubljana]] were moved from the Southern-Mediterranean group to the Central-East group. It is unknown why UEFA decided on these last moves since it is not strictly required. One of the reasons could be to have more balance in the groups with respect to the coefficients.
[[Image:Null-balance voltmeter.png|thumb|right|450px|A simple, [[passive component|passive]] voltmeter implementation according to the null-balance method]]


An important laboratory technique is measurement of voltage with a potentiometer in the null-balance method. The potentiometer's voltage divider is changed at the wiper until the null detector shows zero voltage between the two circuits.
{{TwoLegStart}}
!colspan="5"|Southern-Mediterranean region
{{TwoLegResult|[[NK Široki Brijeg|Široki Brijeg]]|BIH||[[Beşiktaş J.K.|Beşiktaş]]|TUR|1–2|[[28 August]]}}
{{TwoLegResult|[[S.C. Braga|Braga]]|POR||[[HŠK Zrinjski Mostar|Zrinjski Mostar]]|BIH|1–0|[[28 August]]}}
{{TwoLegResult|'''[[FK Borac Čačak|Borac Čačak]]'''|SER|2–1|[[PFC Lokomotiv Sofia|Lokomotiv Sofia]]|BUL|1–0[[#fn 13|<sup>13</sup>]]|1–1}}
{{TwoLegResult|[[FK Vojvodina|Vojvodina]]|SER||[[Hapoel Tel Aviv F.C.|Hapoel Tel Aviv]]|ISR|0–0|[[28 August]]}}
{{TwoLegResult|[[Aris Thessaloniki FC|Aris Thessaloniki]]|GRE||[[NK Slaven Belupo|Slaven Belupo]]|CRO|1–0|[[28 August]]}}
{{TwoLegResult|[[PFC Litex Lovech|Litex Lovech]]|BUL||[[Hapoel Ironi Kiryat Shmona F.C.|Ironi Kiryat Shmona]]|ISR|0–0|[[28 August]]}}
{{TwoLegResult|[[Deportivo de La Coruña|Deportivo]]|ESP||[[HNK Hajduk Split|Hajduk Split]]|CRO|0–0|[[28 August]]}}
{{TwoLegResult|[[APOEL F.C.|APOEL]]|CYP||[[Red Star Belgrade]]|SER|2–2|[[28 August]]}}
{{TwoLegResult|[[KS Vllaznia Shkodër|Vllaznia Shkodër]]|ALB||[[S.S.C. Napoli|Napoli]]|ITA|0–3|[[28 August]]}}
{{TwoLegResult|[[Maccabi Netanya F.C.|Maccabi Netanya]]|ISR||[[PFC Cherno More Varna|Cherno More]]|BUL|1–1|[[28 August]]}}
{{TwoLegResult|[[AEK Athens F.C.|AEK Athens]]|GRE|[[#fn 14|<sup>14</sup>]]|[[AC Omonia|Omonia]]|CYP|0–1|[[28 August]]}}
|-
!colspan="5"|Central-East region
{{TwoLegResult|[[FK Liepājas Metalurgs|Liepājas Metalurgs]]|LAT||[[FC Vaslui|Vaslui]]|ROU|0–2|[[28 August]]}}
{{TwoLegResult|[[FC Zürich|Zürich]]|SUI||[[SK Sturm Graz|Sturm Graz]]|AUT|1–1|[[28 August]]}}
{{TwoLegResult|[[VfB Stuttgart|Stuttgart]]|GER||[[Győri ETO FC|Győri ETO]]|HUN|2–1|[[28 August]]}}
{{TwoLegResult|[[Lech Poznań]]|POL||[[Grasshopper-Club Zürich|Grasshopper]]|SUI|6–0|[[28 August]][[#fn 15|<sup>15</sup>]]}}
{{TwoLegResult|[[FC Slovan Liberec|Slovan Liberec]]|CZE||[[MŠK Žilina]]|SVK|1–2|[[28 August]]}}
{{TwoLegResult|[[FC WIT Georgia|WIT Georgia]]|GEO||[[FK Austria Wien|Austria Wien]]|AUT|cancelled[[#fn 16|<sup>16</sup>]]|[[28 August]]}}
{{TwoLegResult|[[BSC Young Boys|Young Boys]]|SUI||[[Debreceni VSC|Debrecen]]|HUN|4–1|[[28 August]]}}
{{TwoLegResult|[[Legia Warsaw]]|POL||[[FC Moscow]]|RUS|1–2|[[28 August]]}}
{{TwoLegResult|[[FC Dnipro Dnipropetrovsk|Dnipro Dnipropetrovsk]]|UKR||[[AC Bellinzona|Bellinzona]]|SUI|3–2|[[28 August]]}}
{{TwoLegResult|[[Interblock Ljubljana]]|SVN||[[Hertha BSC Berlin|Hertha BSC]]|GER|0–2|[[28 August]]}}
{{TwoLegResult|[[FK Sūduva Marijampolė|Sūduva]]|LTU||[[FC Red Bull Salzburg|Red Bull Salzburg]]|AUT|1–4|[[28 August]]}}
|-
!colspan="5"|Northern region
{{TwoLegResult|[[Djurgårdens IF Fotboll|Djurgården]]|SWE||[[Rosenborg BK|Rosenborg]]|NOR|2–1[[#fn 17|<sup>17</sup>]]|[[28 August]]}}
{{TwoLegResult|[[Queen of the South F.C.|Queen of the South]]|SCO|2–4|'''[[FC Nordsjælland|Nordsjælland]]'''|DEN|1–2|1–2}}
{{TwoLegResult|[[K.A.A. Gent|Gent]]|BEL||[[Kalmar FF|Kalmar]]|SWE|2–1|[[28 August]]}}
{{TwoLegResult|[[Manchester City F.C.|Manchester City]]|ENG||[[FC Midtjylland|Midtjylland]]|DEN|0–1|[[28 August]]}}
{{TwoLegResult|[[FC Honka|Honka]]|FIN||[[Viking FK|Viking]]|NOR|0–0|[[28 August]]}}
{{TwoLegResult|[[FC Haka|Haka]]|FIN||[[Brøndby IF|Brøndby]]|DEN|0–4|[[28 August]]}}
{{TwoLegResult|[[Stabæk Fotball|Stabæk]]|NOR||[[Stade Rennais F.C.|Rennes]]|FRA|2–1|[[28 August]]}}
{{TwoLegResult|[[F.C. Copenhagen|Copenhagen]]|DEN||[[Lillestrøm SK|Lillestrøm]]|NOR|3–1|[[28 August]]}}
{{TwoLegResult|[[IF Elfsborg|Elfsborg]]|SWE||[[St Patrick's Athletic F.C.|St Patrick's Athletic]]|IRL|2–2|[[28 August]]}}
{{TwoLegResult|[[Fimleikafélag Hafnarfjarðar|FH]]|ISL|[[#fn 18|<sup>18</sup>]]|[[Aston Villa F.C.|Aston Villa]]|ENG|1–4|[[28 August]]}}
|}


: <math> V_{t} = \frac{V_{k}}{R_{e}}R_{w} </math>
*{{fnb|13}} Played at [[Fortress Stadium]] in [[Smederevo]] as [[FK Borac Čačak|Borac Čačak]]'s [[Čačak Stadium|home ground]] did not meet UEFA criteria.
*{{fnb|14}} Order of legs reversed due to [[APOEL Nicosia]] playing the same day at [[AC Omonia|Omonia]]'s stadium
*{{fnb|15}} The return leg will be played in [[AFG Arena]], [[St. Gallen]] as Grasshoppers' home ground, the [[Letzigrund]] is occupied by an [[IAAF Golden League|Golden League]] athletics meet the following day.<ref>{{de icon}} [http://stadt24.ch/page/21324/1 UEFA-Cup in der AFG Arena], stadt24.ch, retrieved [[14 August]] [[2006]]</ref>
*{{fnb|16}} Due to the [[2008 South Ossetia war|current conflict]] in [[Georgia (country)|Georgia]] and the ensuing safety concerns, UEFA ordered the first leg to be cancelled. The match will now be held as a single leg tie in Vienna. <ref>[http://www.uefa.com/competitions/uefacup/news/kind=1/newsid=738235.html Vienna to host the WIT-Austria tie]</ref>
*{{fnb|17}} Played at [[Råsunda Stadium]] as [[Djurgårdens IF Fotboll|Djurgården]]'s [[Stockholms Stadion|home ground]] did not meet UEFA criteria.
*{{fnb|18}} Order of legs reversed at the request of both clubs.<ref>{{cite news |title=Switch Confirmed |url=http://www.avfc.premiumtv.co.uk/page/NewsDetail/0,,10265~1357546,00.html |publisher=Aston Villa F.C. |date=[[2008-08-04]] |accessdate=2008-08-05 }}</ref>


where
==First round==
The following 32 teams will enter at the first round. Also entering are the 32 winners from the previous round and the 16 losers from the [[UEFA Champions League]] third qualifying round.


<math>V_{t}</math>: Voltage across test points
===Seeding structure===
Seeding is determined by their UEFA Coefficient rating. The 80 teams are then split into 8 groups of 10 teams, 5 seeded teams and 5 unseeded teams. The draw for these is also based on their coefficient ranking with one exception: no country can have multiple teams in any group. These teams will play 2 legs, home and away, scheduled for 20 September and 4 October. The remaining 40 teams will be divided into eight sections of five, with the first of five group-stage Matchdays on 25 October.<ref>{{cite web |url=http://www.uefa.com/competitions/uefacup/news/kind=1/newsid=577830.html |title=Hopefuls to discover first-round fates |accessdate=2007-08-31 |date=[[2007-08-31]] |publisher=UEFA.com }}</ref>
<!--{| class="wikitable"
! style="text-align: center;" colspan="3" | Seeded Teams !! style="text-align: center;" rowspan="2" | Group !! style="text-align: center;" colspan="3" | Unseeded Teams
|-
! Rank !! Team !! Coefficient rating !! Rank !! Team !! Coefficient rating
|-
| '''1''' || {{flagicon|ITA}} [[A.C. Milan|Milan]] || 119.934 || style="text-align: center;" rowspan="5" | 1 || '''48''' || {{flagicon}} ||
|-
| '''16''' || {{flagicon}} || || '''49''' || {{flagicon}} ||
|-
| '''17''' || {{flagicon}} || || '''64''' || {{flagicon}} ||
|-
| '''32''' || {{flagicon}} || || '''65''' || {{flagicon}} ||
|-
| '''33''' || {{flagicon}} || || '''80''' || {{flagicon}} ||
|-
| '''2''' || {{flagicon|ESP}} [[Sevilla FC|Sevilla]] || 102.837 || style="text-align: center;" rowspan="5" | 2 || '''47''' || {{flagicon}} ||
|-
| '''15''' || {{flagicon}} || || '''50''' || {{flagicon}} ||
|-
| '''18''' || {{flagicon}} || || '''63''' || {{flagicon}} ||
|-
| '''31''' || {{flagicon}} || || '''66''' || {{flagicon}} ||
|-
| '''34''' || {{flagicon}} || || '''79''' || {{flagicon}} ||
|-
| '''3''' || {{flagicon|ESP}} [[Valencia CF|Valencia]] || 83.837 || style="text-align: center;" rowspan="5" | 3 || '''46''' || {{flagicon}} ||
|-
| '''14''' || {{flagicon}} || || '''51''' || {{flagicon}} ||
|-
| '''19''' || {{flagicon}} || || '''62''' || {{flagicon}} ||
|-
| '''30''' || {{flagicon}} || || '''67''' || {{flagicon}} ||
|-
| '''35''' || {{flagicon}} || || '''78''' || {{flagicon}} ||
|-
| '''4''' || {{flagicon|POR}} [[S.L. Benfica|Benfica]] || 77.176 || style="text-align: center;" rowspan="5" | 4 || '''45''' || {{flagicon}} ||
|-
| '''13''' || {{flagicon}} || || '''52''' || {{flagicon}} ||
|-
| '''20''' || {{flagicon}} || || '''61''' || {{flagicon}} ||
|-
| '''29''' || {{flagicon}} || || '''68''' || {{flagicon}} ||
|-
| '''36''' || {{flagicon}} || || '''77''' || {{flagicon}} ||
|-
| '''5''' || {{flagicon|RUS}} [[PFC CSKA Moscow|CSKA Moscow]] || 59.437 || style="text-align: center;" rowspan="5" | 5 || '''44''' || {{flagicon}} ||
|-
| '''12''' || {{flagicon}} || || '''53''' || {{flagicon}} ||
|-
| '''21''' || {{flagicon}} || || '''60''' || {{flagicon}} ||
|-
| '''28''' || {{flagicon}} || || '''69''' || {{flagicon}} ||
|-
| '''37''' || {{flagicon}} || || '''76''' || {{flagicon}} ||
|-
| '''6''' || {{flagicon|ENG}} [[Tottenham Hotspur F.C.|Tottenham Hotspur]] || 55.996 || style="text-align: center;" rowspan="5" | 6 || '''43''' || {{flagicon}} ||
|-
| '''11''' || {{flagicon}} || || '''54''' || {{flagicon}} ||
|-
| '''22''' || {{flagicon}} || || '''59''' || {{flagicon}} ||
|-
| '''27''' || {{flagicon}} || || '''70''' || {{flagicon}} ||
|-
| '''38''' || {{flagicon}} || || '''75''' || {{flagicon}} ||
|-
| '''7''' || {{flagicon|GER}} [[Hamburger SV|Hamburg]] || 52.078 || style="text-align: center;" rowspan="5" | 7 || '''42''' || {{flagicon}} ||
|-
| '''10''' || {{flagicon}} || || '''55''' || {{flagicon}} ||
|-
| '''23''' || {{flagicon}} || || '''58''' || {{flagicon}} ||
|-
| '''26''' || {{flagicon}} || || '''71''' || {{flagicon}} ||
|-
| '''39''' || {{flagicon}} || || '''74''' || {{flagicon}} ||
|-
| '''8''' || {{flagicon}} || || style="text-align: center;" rowspan="5" | 8 || '''41''' || {{flagicon}} ||
|-
| '''9''' || {{flagicon}} || || '''56''' || {{flagicon}} ||
|-
| '''24''' || {{flagicon}} || || '''57''' || {{flagicon}} ||
|-
| '''25''' || {{flagicon}} || || '''72''' || {{flagicon}} ||
|-
| '''40''' || {{flagicon}} || || '''73''' || {{flagicon}} ||
|}-->


<math>V_{k}</math>: Known voltage
{{col-start}}
{{col-2}}
*{{flagicon|ITA}} [[A.C. Milan|Milan]]
*{{flagicon|ESP}} [[Sevilla FC|Sevilla]]
*{{flagicon|ESP}} [[Valencia CF|Valencia]]
*{{flagicon|POR}} [[S.L. Benfica|Benfica]]
*{{flagicon|RUS}} [[PFC CSKA Moscow|CSKA Moscow]]
*{{flagicon|ENG}} [[Tottenham Hotspur F.C.|Tottenham Hotspur]]
*{{flagicon|GER}} [[Hamburger SV|Hamburg]]
*{{flagicon|NED}} [[AFC Ajax|Ajax]]
*{{flagicon|ENG}} [[Everton F.C.|Everton]]
*{{flagicon|BEL}} [[Club Brugge K.V.|Club Brugge]]
*{{flagicon|ROU}} [[FC Rapid Bucureşti|Rapid Bucureşti]]
*{{flagicon|FRA}} [[Paris Saint-Germain FC|Paris St-Germain]]
*{{flagicon|ROU}} [[FC Dinamo Bucureşti|Dinamo Bucureşti]]
*{{flagicon|NED}} [[SC Heerenveen|Heerenveen]]
*{{flagicon|ITA}} [[Udinese Calcio|Udinese]]
*{{flagicon|NED}} [[Feyenoord]]
*{{flagicon|ITA}} [[U.C. Sampdoria|Sampdoria]]
{{col-2}}
*{{flagicon|FRA}} [[AS Nancy|Nancy]]
*{{flagicon|ENG}} [[Portsmouth F.C.|Portsmouth]]
*{{flagicon|ESP}} [[Racing de Santander|Racing Santander]]
*{{flagicon|GER}} [[Borussia Dortmund]]
*{{flagicon|FRA}} [[AS Saint-Étienne|Saint-Étienne]]
*{{flagicon|GER}} [[VFL Wolfsburg|Wolfsburg]]
*{{flagicon|POR}} [[C.S. Marítimo|Marítimo]]
*{{flagicon|POR}} [[Vitória F.C.|Vitória Setúbal]]
*{{flagicon|ROU}} [[FC Unirea Voluntari Urziceni|Unirea Urziceni]]
*{{flagicon|ROU}} [[FC Timişoara|Timişoara]]
*{{flagicon|NED}} [[NEC (football club)|NEC Nijmegen]]
*{{flagicon|CZE}} [[FC Baník Ostrava|Baník Ostrava]]
*{{flagicon|TUR}} [[Kayserispor]]
*{{flagicon|SCO}} [[Motherwell F.C.|Motherwell]]
*{{flagicon|UKR}} [[Metalist Kharkiv]]
*{{flagicon|DEN}} [[FC Nordsjælland|Nordsjælland]]
*{{flagicon|SER}} [[FK Borac Čačak|Borac Čačak]]
{{col-2}}
{{col-end}}


<math>R_{e}</math>: Potentiometer resistance from one end terminal to the other end terminal
==Final==
The final of the UEFA Cup 2008-09 will be held on [[20 May]] [[2009]] at the [[Şükrü Saracoğlu Stadium]] in [[Istanbul]], [[Turkey]]. This will be the first time that the [[UEFA Cup]] Final has been held in Turkey and follows the [[2005 UEFA Champions League Final]] which was held in [[Istanbul]]'s [[Atatürk Olympic Stadium]].


<math>R_{w}</math>: Potentiometer resistance from wiper to end terminal
==See also==
*[[UEFA Champions League 2008-09]]
*[[UEFA Intertoto Cup 2008]]
*[[UEFA Cup]]


There are many implementations for null detectors, including moving-coil galvanometers, nanovolt-sensitive [[integrated circuit]]s, and simple audio circuits that click to indicate voltage difference. The null detector need only be sensitive to small voltage differences but does not need to be linear or accurate. The voltage divider can be made with high uniformity and accuracy, with calculable sources of error. While the method was originally used with manually-adjusted potentiometers, automatic and recording analog instruments are commonly made with the same principle of operation.
==References==
{{reflist|2}}


== Oscilloscope ==
==External Links==
The [[oscilloscope]] method of measuring voltage employs the deflection of the ray in a [[cathode ray tube]] (CRT). The ray is actually a beam of [[electrons]] travelling in the vacuum inside the tube. The deflection of the beam is either caused by the magnetic field of a coil mounted outside the tube or by the electrostatic deflection caused by the voltage on plates inside the tube. By comparing the deflection caused by an unknown voltage with that caused by a known reference voltage the unknown voltage can easily be deduced. Such measurements can be done for signals too high in frequency for measurement by an analog or digital multimeter.
*[http://www.uefa.com/competitions/uefacup/index.html UEFA Cup website]

== Voltmeter Schematic Symbol ==
The voltmeter symbol (V) is shown in the diagram.<br>[[Image:VoltmeterSymbol.jpg]]

==See also==
*[[Solenoid voltmeter]]
*[[Ammeter]]
*[[Ohmmeter]]
*[[Metrology]]
*[[Multimeter]]
*[[Electrometer]]
*[[Meter (electronics)]]
*[[Electronic test equipment]]
*[[Voltage divider]]


[[Category:Measuring instruments]]
{{fb start}}
[[Category:Electronic test equipment]]
{{UEFA Cup Seasons}}
{{2008-09 in European Football (UEFA)}}
{{fb end}}


==External links==
[[Category:UEFA Cup seasons|2008-09]]
*[http://step-bystep.blogspot.com/2008/04/how-to-use-voltmeter.html How to Use a Voltmeter]


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Revision as of 17:24, 13 October 2008

Historical voltmeter from the physics class

A voltmeter is an instrument used for measuring the electrical potential difference between two points in an electric circuit. Analog voltmeters move a pointer across a scale in proportion to the voltage of the circuit; digital voltmeters give a numerical display of voltage by use of an analog to digital converter.

Voltmeters are made in a wide range of styles. Instruments permanently mounted in a panel are used to monitor generators or other fixed apparatus. Small portable instruments, usually equipped to also measure current and resistance in the form of a multimeter, are standard test instruments used in electrical and electronics work. Any measurement that can be converted to a voltage can be displayed on a meter that is suitably calibrated; for example, pressure, temperature, flow or level in a chemical process plant.

General purpose analog voltmeters may have an accuracy of a few per cent of full scale, and are used with voltages from a fraction of a volt to several thousand volts. Digital meters can be made with high accuracy, typically better than 1%. Specially calibrated test instruments have higher accuracies, with laboratory instruments capable of measuring to accuracies of a few parts per million. Meters using amplifiers can measure tiny voltages of microvolts or less.

Part of the problem of making an accurate voltmeter is that of calibration to check its accuracy. In laboratories, the Weston Cell is used as a standard voltage for precision work. Precision voltage references are available based on electronic circuits.

Analog voltmeter

A moving coil galvanometer of the d'Arsonval type. Wire carrying current to be measured
Restoring spring
N and S are poles of magnet

A moving coil galvanometer can be used as a voltmeter by inserting a resistor in series with the instrument. It employs a small coil of fine wire suspended in a strong magnetic field. When an electrical current is applied, the galvanometer's indicator rotates and compresses a small spring. The angular rotation is proportional to the current through the coil. For use as a voltmeter, a series resistance is added so that the current through the meter, and, therefore, the angular rotation of the needle, becomes proportional to the applied voltage.

One of the design objectives of the instrument is to disturb the circuit as little as possible and so the instrument should draw a minimum of current to operate. This is achieved by using a sensitive ammeter or microammeter in series with a high resistance.

The sensitivity of such a meter can be expressed as "ohms per volt", the number of ohms resistance in the meter circuit divided by the full scale measured value. For example a meter with a sensitivity of 1000 ohms per volt would draw 1 milliampere at full scale voltage; if the full scale was 200 volts, the resistance at the instrument's terminals would be 200,000 ohms and at full scale the meter would draw 1 milliampere from the circuit under test. For multi-range instruments, the input resistance varies as the instrument is switched to different ranges.

Moving-coil instruments respond only to direct current; measuremnent of AC voltage requires a rectifier in the circuit so that the coil deflects in only one direction. Moving-coil instruments are also made with the zero position in the middle of the scale instead of at one end; these are useful if the voltage reverses its polarity.

Voltmeters operating on the electrostatic principle use the mutual repulsion between two charged plates to deflect a pointer attached to a spring. Meters of this type draw negligible current but are sensitive to voltages over about 100 volts and work with either alternating or direct current.

Vacuum Tube Voltmeter (VTVM)

The sensitivity and input resistance of a voltmeter can be increased if the current required to deflect the meter pointer is supplied by an amplifier instead of the circuit under test. A once- popular form of voltmeter of this type was the vacuum tube voltmeter, frequently referred to as a VTVM. Today these instruments use a solid-state amplifier using field-effect transistors. The electronic amplifier between input and meter gives two benefits; a rugged moving coil instrument can be used, since its sensitivity need not be high, and the input resistance can be made high, reducing the current drawn from the circuit under test. Amplified voltmeters often have an input resistance of 1, 10, or 20 megohms which is independent of the range selected.

Digital voltmeters

Two digital voltmeters. Note the 40 microvolt difference between the two measurements, an offset of 34 parts per million.

The first digital voltmeter (DVM) was invented and produced by Andrew Kay of Non-Linear Systems (and later founder of Kaypro) in 1954.

Digital voltmeters use an electronic circuit that acts as an integrator, linearly ramping output voltage when input voltage is constant (this can be realized with an opamp). The dual-slope integrator method applies a known reference voltage to the integrator for a fixed time to ramp the integrator's output voltage up, then the unknown voltage is applied to ramp it back down, and the time to ramp output voltage down to zero is recorded (realized in an ADC implementation). The unknown voltage being measured is the product of the voltage reference and the ramp-up time divided by the ramp-down time. The voltage reference must remain constant during the ramp-up time, which may be difficult due to supply voltage and temperature variations.

Digital voltmeters necessarily have input amplifiers and like vacuum tube voltmeters generally have a constant input resistance of 10 megohms regardless of set measurement range.

Potentiometer

A simple, passive voltmeter implementation according to the null-balance method

An important laboratory technique is measurement of voltage with a potentiometer in the null-balance method. The potentiometer's voltage divider is changed at the wiper until the null detector shows zero voltage between the two circuits.

where

: Voltage across test points

: Known voltage

: Potentiometer resistance from one end terminal to the other end terminal

: Potentiometer resistance from wiper to end terminal

There are many implementations for null detectors, including moving-coil galvanometers, nanovolt-sensitive integrated circuits, and simple audio circuits that click to indicate voltage difference. The null detector need only be sensitive to small voltage differences but does not need to be linear or accurate. The voltage divider can be made with high uniformity and accuracy, with calculable sources of error. While the method was originally used with manually-adjusted potentiometers, automatic and recording analog instruments are commonly made with the same principle of operation.

Oscilloscope

The oscilloscope method of measuring voltage employs the deflection of the ray in a cathode ray tube (CRT). The ray is actually a beam of electrons travelling in the vacuum inside the tube. The deflection of the beam is either caused by the magnetic field of a coil mounted outside the tube or by the electrostatic deflection caused by the voltage on plates inside the tube. By comparing the deflection caused by an unknown voltage with that caused by a known reference voltage the unknown voltage can easily be deduced. Such measurements can be done for signals too high in frequency for measurement by an analog or digital multimeter.

Voltmeter Schematic Symbol

The voltmeter symbol (V) is shown in the diagram.
File:VoltmeterSymbol.jpg

See also

External links