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



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 .



@ .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.>



'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



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



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



!"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+.



?. 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.

autor exp6 labreport1

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