ee20l experiment 3

8/13/2019 EE20L Experiment 3

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Experiment 3:Ian Camus#1, Shizhao Chen*2, Marvilette Jequinto#3, Jerome opena#!

S"hool o Me"hani"al an$ Manua"turin% En%ineerin%, Mapua Institute o &e"hnolo%'

Muralla Street, Intramuros, Manila, ([email protected]

[email protected][email protected][email protected]

Abstract Experiment 3 is about the analysis of resistive

networks using Kirchhoffs law. The same circuit from

experiment was use! in this experiment to !etermine the

voltages an! currents across each circuit elements. The

resistances were selecte!" an! then the value of the

voltages an! currents were measure! using the #$$ for

the voltage an! ammeter for the current. The calculate!

values were !etermine! using the Kirchhoffs %urrent lawan! Kirchhoffs &oltage 'aw. A simulation using Tina (ro

was also !one. The results from the measure!" calculate!

an! simulate! values were close to each other.

I) I&+-.C&I

/ustav 0ir"hho is a /erman mathemati"ian ho as orn

in 0ni%ser%, the ormer "apital o (russia) 415It as hilehe as stu$'in% ith eumann ho ' the 'ear 16!7 ha$

pulishe$ his to ma8or papers on ele"tri"al "on$u"tion, that0ir"hho ma$e his irst outstan$in% resear"h "ontriution

hi"h relate$ to ele"tri"al "urrents) &he sai$ resear"h is the0ir"hho9s las, hi"h he announ"e$ in 16!7, alloe$"al"ulation o "urrents, volta%es an$ resistan"es in ele"tri"al

"ir"uits ith multiple loops, exten$in% the or o hm)

0ir"hho "onsi$ere$ an ele"tri"al netor "onsistin% o"ir"uits 8oine$ at no$es o the netor an$ %ave las hi"h

re$u"e the "al"ulation o the "urrents in ea"h loop to thesolution o al%erai" equations) &he irst la states that the

sum o the "urrents into a %iven no$e equals the sum o the"urrents out o that no$e) &he se"on$ la states that the sum

o ele"tromotive or"es in a loop in the netor equals thesum o potential $rops, or volta%es a"ross ea"h o the

resistan"es, in the loop)

0ir"hho9s Current a states that the summation o all

"urrent ithin a %iven no$e is equivalent to zero, or in otheror$s, the summation o all "urrent enterin% the no$e or

8un"tion is equivalent to the summation o all "urrent leavin%the no$e or 8un"tion) 425; no$e or a 8un"tion is a point on the

"ir"uit at hi"h to or more elements have a "ommon

"onne"tion) 0ir"hho9s Current a, is the la o"onservation o "har%e in ele"tri" "ir"uits sin"e Current is

"har%e ? ????????@ >? ???????

&he se"on$ la is the 0ir"hho9s Bolta%e a herein the

summation o all volta%espotential aroun$ a %iven "lose$ path

or loop is equivalent to zero) In other or$s, the summation oall volta%epotential rise is equivalent to the summation o allvolta%epotential $rop) ; path is a set o no$e an$ elements

passe$ throu%h i no no$e as en"ountere$ more than on"ehile a "lose$ path or loop is a in$ o path herein the no$e

here 'ou starte$ is also the no$e here 'ou ill en$) &he$ire"tion o path "oul$ either e "lo"ise or "ounter

"lo"ise) &he si%n "onvention or ea"h volta%e $epen$s onhere the path or loop entere$ or let) &he $ire"tion use$ must

e "onsistent throu%h all the loops) 0ir"hho9s Bolta%e ais re"o%nize$ as the appli"ation o the a o Conservation o

Ener%' sin"e Bolta%e is Joule per "oulom)

0ir"hho9s se"on$ la: 0ir"hho9s Bolta%e a ????????@A or >? ????@ >? ?????

II) M;&E+I;S ;- ME&D-

&he materials use$ in the experiment are the olloin%:Cir"uit 1 trainer it


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Gi%ure 1: &he "ir"uit use$ in the experiment

Conne"t the "ir"uit shon in the Gi%ure 1 ' usin% the

poer suppl' an$ the trainer it) Che" i it is properl'"onne"te$ eore turn on the poer suppl');n$ then, the

volta%e supplie$ in the "ir"uit must e equal to 2AB)

Gi%ure 2: Give resistors ere use$ in the experiment)

Measure the resistan"e values o ive resistors ' usin% amultiFmeter an$ also measure the total resistan"e o the "ir"uit

a"ross the terminals ; H )

Gi%ure 3: ;mmeters ere use$ to $etermine the "urrent at

$ierent ran"hes o the "ir"uit)

.sin% the B))M), to measure the volta%e rea$in%s passe$

throu%h ea"h resistors o the "ir"uit an$ usin% the ammeter tomeasure the "urrent loin% at $ierent ran"hes o the

"ir"uit)

;pplie$ the hm9s la, B @ I+, an$ usin% the 0ir"hho9s

Bolta%e a to "omplete the $ata in &ale 3)1)

Gi%ure !: -ia%ram ma$e ' usin% the &ina (ro pro%ram

.sin% the &ina (ro pro%ram to simulate the "ir"uit shon inGi%ure 1 an$ "han%e the resistan"e values use$ in the

experiment) &hen, re"or$ the simulate$ $ata rom the pro%ramto "omplete the $ata in &ale 3)2

III) +ES.&S ;- -ISC.SSI

Experiment no) 3 $eals ith the anal'sis o resistivenetors usin% 0ir"hho9s las) ; seriesFparallel "ir"uit as

"onstru"te$ hi"h "ontains ive resistors) &he "urrent loin%

throu%h an$ the volta%e a"ross ea"h resistor ere measure$)

&;E IMeasure$ values

+1 32)1 B1 !)K B I1 1! m;

+2 L66)2 B2 1!)A2 B I2 1! m;

+3 L6)2 B3 1)2!7 B I3 12)3m;

+! K2 B! A)L71 B I! 1)! m;

+7 21K) B7 A)3A B I7 1)! m;

+& 1!A7 B& 2A B I& 1! m;
http://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omegahttp://en.wikipedia.org/wiki/Omega


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&ale I shos the measure$ values o the volta%e a"ross an$

the "urrent loin% throu%h ea"h resistor) ase$ rom thevalues otaine$, it "an e anal'se$ that +!an$ +7are resistors

in series sin"e the same "urrent is loin% throu%h them) &he

"omination o these to resistors is in parallel ith +3e"ause the sum o B!an$ B7is approximatel' equal to B3)

;lso, the "omination o +!,+7an$ +3is in series ith +1an$+2sin"e the sum o B1B2an$ B3is equal to the volta%e

sour"e)


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Ne oul$ also lie to %ive thans to our ello "lassmates

or their support an$ help)

;n$ lastl', e express our $eepest thans to ;lmi%ht' /o$or Dis lessin%s an$ %ui$an"e in our lie)

+EGE+ECE

415O/ustav +oert 0ir"hhoP, last mo$iie$ ;u%ust 2AA2,

http:Fhistor')m"s)stFan$res)a")uio%raphies0ir"hho)html

425Carlos C) Dortinela IB an$ /or%onio C) Ballestero II,Elementar' Ele"tri"al En%ineerin% Manual

ee20l experiment 3

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