autor exp6 labreport1
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Engineering Science
&Technology Institute
Parallel DC Circuits
Experiment # 6
Ronel A. Sauza
January 19, 2016
Eng’r Alnar Paayon
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Parallel DC Circuits
Experiment #6
Objective
!"e o$u o t"i experiment i t"e analyi o t"e %ai$ parallel &' $ir$uit %y uing reitor.
!"i pro(e )ir$""o’ 'urrent *a+ t"e um o all $urrent entering a no-e mut eual to t"e
um o t"e $urrent exiting t"at no-e. !"e $urrent -i(i-er rule mut alo ta/e into a$$ount are
eual.
Conclusion
!"ereore t"at a parallel $ir$uit -eine- %y t"e a$t t"at all $omponent "are t+o
$ommon no-e an- alo it (oltage i ame a$ro all $omponent an- +ill eual t"e applie-
our$e (oltage. ig"er reitan$e re-u$e amperage. n t"e $ae o parallel $ir$uit, t"e pat" +it"
a lo+er reitan$e $ontain a "ig"er $urrent.
Discussion
!"e po+er upply’ $urrent $ontrol +a et to 2 amp +it" (olt. 3our -ierent reitor i ue-
or -itin$ti(e reult 1 /4, 1.5 /4, 1. /4, an- 5.6 /4. !"e irt t+o reitor +ere pla$e- in
parallel onto t"e %rea- %oar-. o-e are la%ele- at t"e po+er our$e, at t"e 7un$tion %et+een t"e
t"ree $omponent, an- t"e no-e %eore t"e e$on- reitor. !"e &88 &!9205A +a et or &'
(oltage or teting (oltage -rop. Step are repeate- or meauring it $urrent %ut t"e &88
&!9205A +a pla$e- in erie in t"e no-e in or-er or it to meaure it amperage. !"e e$on-
part o t"e experiment i 7ut t"e ame +it" t"e irt %ut it ue all our reitor an- a po+er
our$e o 10 .
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@ .0
' .0
Table 6!
'urrent !"eory 8eaure- &e(iation
R1 mA B mA 12.5 C
R2 5.>> ? mA 25 C
!otal 1>.>> 12 mA 10 C
Table 6"
'urrent '&R !"eory
R1 mA
R2 5.>> mA
!otal 1>.>> mA
Table 6#
'urrent !"eory 8eaure- &e(iation
R1 10 mA 11 mA 10 C
R2 6.6B mA 5 mA 25 C
R> 5.55 mA ? mA 2B.9> C
R? 1.B5B mA 1.55 mA 1>.20 C
!otal 2? mA 2> mA ?.16 C
x B.>?1> mA 11 mA ?9.? C
Table 6$
Calculations
3or ta%le 6.1, t"e (oltage -rop o t"e t+o reitor i in$e it i pla$e- in a parallel
orientation.
3or ta%le 6.2
1 DV
R=
8V
1000Ω D 0.00 A D mA 2 DV
R=
8V
1500Ω D 0.005>> A D 5.>> mA
R !otal D
1
1
1000+ 1
1500
=¿
600 4 !otal DV
R=
8V
600Ω D 0.01>>> A D 1>.>>
mA
3or ta%le 6.>
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'urrent t"roug" any reitor DV
R oltage in a parallel $ir$uit D E!otal D En D total R total
Su%titute total R total or En in t"e irt euation
'urrent t"roug" any parallel reitor D 'urrent -i(i-er ormula D n D I total R total
Rn
1 D(13.33mA)(600Ω)
1000Ω D mA 2 D(13.33mA)(600Ω)
1500Ω D 5.>> mA
!otal D 1 2 D mA 5.>> mA D 1>.>> mA
3or ta%le 6.?
R !otal D
1
1
1000
+ 1
1500
+ 1
1800
+ 1
5600
=¿
50400
121 4 D ?16.529 4
!otal DV
R=
10V
416.5289Ω D121
5040 A D 2? mA
n D I total R total
Rn
1 D(24mA)(416.5289Ω)
1000Ω D 10 mA 2 D(24mA)(416.5289Ω)
1500Ω D 6.6B mA
> D(24mA)(416.5289Ω)
1800Ω D 5.55 mA ? D(24mA)(416.5289Ω)
5600Ω D 1.B5B mA
R x D
1
1
1800+
1
5600 D
50400
37 4 D 1>62.1622 4 x DV
R=
10V
1362.1622Ω D B.>?1> mA
%raph
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Theory Measured
0
2
4
6
8
10
12
14
Theory and Measured values of table 6.2
1 kΩ
1.5 kΩ
Total
Theory Measured
0
10
20
30
40
50
60
Theory and Measured values of table 6.4
Ix
Total
5.6 kΩ1.8 kΩ
1.5 kΩ
1 kΩ
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1 kΩ 1.5 kΩ Total
0
10
20
30
40
50
60
70
80
90
100
Deviation for table 6.2
1 kΩ1.5 kΩ
1.8 kΩ5.6 kΩ
TotalIx
0
10
20
30
40
50
60
70
80
90
100
Deviation for table 6.4
uestion
1. 3or t"e $ir$uit o 3igure 6.1, +"at i t"e expe$te- $urrent entering t"e negati(e terminal o t"e
our$eF
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!"e $urrent entering t"e negati(e terminal o t"e our$e i t"e ame a t"e $urrent rom
t"e poiti(e terminal o t"e our$e an- eual to t"e um o t"e $urrent paing t"roug"
t"e t+o reitor. A$$or-ing to t"e experiment, t"e $urrent entering t"e negati(e terminal
i 12 mA %ut it t"eoreti$al (alue i 1>.>> mA.
2. 3or t"e $ir$uit o 3igure 6.2, +"at i t"e expe$te- $urrent %et+een point @ an- 'F
t +ill %e eual to t"e total $urrent pro-u$e- %y t"e > r- an- ?t" reitor +"i$" i.
>. n 3igure 6.2, R? i approximately t+i$e t"e ize o R> an- a%out t"ree ize o R2. oul- t"e
$urrent ex"i%it t"e ame ratioF "y or "y notF
!"e group o reitor ue- on t"e experiment i -ierent rom +"at i tate-. o+e(er,
%y t"e ue o 8ultiSim 1?.0, t"e ai- $ir$uit $an %e $on-u$te- an- meaure- t"roug"
t"e imulator.
A$$or-ing to t"e $reen "ot o t"e imulator, t"e $urrent i alo t+i$e an- t"ri$e a
mu$", pro(en t"at it i proportional to t"e (oltage upplie-, a it +a tate- in G"m’ la+.
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?. a it" reitor o 10 /4 +a a--e- to t"e rig"t o R? in 3igure 6.2, "o+ +oul- t"i alter !otal
an- xF S"o+ +or/.
!"e total $urrent lea(ing t"e terminal o t"e our$e $an %e altere- e(en t"e lig"tet
$"ange in reitan$e. 3or t"i intan$e, t"e total reitan$e +oul- %e
1
1
1000Ω+
1
1500Ω+
1
1800Ω+
1
5600Ω+
1
10000Ω D >99.B>1 4
"i$" +oul- alter t"e total $urrent total D10V
399.8731Ω=¿
25 mA intea- o 2? mA.
@y loo/ing into t"i igure
t goe to "o+ t"at t"ere i a 1 mA -ieren$e in total $urrent an- at no-e x.
5. )'* atiie- in ta%le 6.2 an- 6.?H
!"e reult t"at are meaure- ten- to %e ollo+ing t"e )ir$""o’ 'urrent *a+. All
reitor’ amperage umme- up to t"e $urrent lea(ing an- entering t"e our$e’ terminal.