7/24/2019 E5 Post-lab

1/4

Experiment 5: AC Analysis RLC CircuitsAlen Bea Ducao, Gene Duque, Myron Bukuan

Electrical and Electronics Engineering Institute, University of the Philippines Diliman

Quezon City 1101, Philippines

Abstract The main objective of this experiment is to

help the students in familiarizing the basics in AC circuit

analysis. The experiment involves the use of an

oscilloscope to understand the behavior of the RM

voltages in an !nductive and Capacitive Circuit. !t also

enables the students to understand the relationship

bet"een the RM voltages "ith the means of analyzing

the "aveforms of each of the voltages.

!" !#$R%D&C$!%#

Resistors are one o' te most (asic components o'

a circuit, alon) *it te *ires an+ sources (ut tese

are not te only components tat must (e stu+ie+" AsEEE stu+ents, te proponents must also un+erstan+ te

(eaiours o' in+uctors an+ capacitors an+ its e''ects

on te relationsip o' currents an+ olta)es in a )ien

circuit not only in DC (ut also in AC settin)" $eexperiment so*s tese (eaiours an+ e''ects tat

*ill (e o(sere+ an+ analy-e+ (y te proponents"

!!" E./ER!ME#$, RE0&L$0, A#DD!0C&00!%#

$e experiment *as +ii+e+ into tree parts to

'urter 'amiliari-e te (asics o' circuit analysis 'or AC

Circuits"

Impedance of a Practical Inductor

A supply olta)e, 1s2341peak6to6peak7, 84 9-

sine *ae *itout DC o''set *as pro+uce+ usin) a

'unction )enerator an+ *it te ai+ o' an oscilloscope"

$e circuit so*n in i)ure 3 *as constructe+ usin)te secon+ary o' te trans'ormer as te in+uctor an+

R23k;"

i)" 3" Circuit setup o' an RL circuit

Be'ore *irin) up te circuit, te internal resistance o'te in+uctor *as o(taine+ usin) te +i)ital multimeter

DMMM7" $en, te RM0 olta)es o' 1$, 1R, 1

7/24/2019 E5 Post-lab

2/4

$o sole 'or te reactance o' te in+uctor,

XL=2fL

XL=2(60Hz )(35.1103 ) XL 2

3=">= ;

By ?1L,

VTVR+VZ 3.022+0.046

3.066

By ?1L,VTshould beequal VR+VZ

o*eer +ue to te inerent non6i+eal

caracteristics o' te tools use+ to measure, tesealues are @ust approximately equal to eac oter"

!n tis experiment, %ms la* (ecomes rea+ily

applica(le to te analysis o' AC circuits (yreplacin) te loa+ elements (y teir impe+ances ora+mittances7" Consequently, ?irco''s olta)e la*

an+ ?irco''s current la* (ecome rea+ily applica(le

to te analysis o' te circuit (y replacin) te

sinusoi+al olta)es an+ currents (y teir pasorrepresentations 'or (ot te source as *ell as te

loa+ elements"

! "a#ing $"% "easurements

$e 'unction )enerator *as set to 849- sinusoi+al

*ae 'orm an+ ten connecte+ to te DMM" $eDMM is ten set to measure AC olta)e"

$e amplitu+e kno( o' te 'unction )enerator *as

a+@uste+ until te DMM +isplays 5 1" $e )enerate+

si)nal is ten +isplaye+ in te oscilloscope" $eamplitu+e o' te olta)e *ae'orm is equal to "> 1

an+ te perio+ $7 is equal to 38"8 ms" rom tese

alues, *e can conclu+e tat te olta)e rea+ (y te

multimeter is equal to te RM0 alue o' te sinusoi+al*ae'orm"

C &'(') in C Circuits

!nductive Circuit

i)" >" Circuit setup o' an RL circuit

%n tis part o' te experiment te application o'

?irco''Fs 1olta)e La* on in+uctie circuits *as eri'ie+an+ teste+ *it te use o' te circuit so*n in i)ure >"

Like in /art A, a sine *ae *it 34 olt peak6to6peak7

an+ 84 9- *as use+ as te olta)e source" $e C9%/mo+e an+ !#1ER$ 'unction o' te oscilloscope *as use+

in )eneratin) te *ae'orm so*n in i)ure ="C#$% $&& m' C#(% ) ' Time*+iv% $&

ms

i)" =" %utput ae'orm o' an RL Circuit 1Ran+ 1L7 in Dual Mo+e

1Rain) a perio+ o' 38"8ms an+ 1- *it >ms it can

(e +e+uce+ tat 1R la)s 1

7/24/2019 E5 Post-lab

3/4

=360

(t)T

=(16.62)

16.6x360

=316.63

$e ADD 'unction o' te oscilloscope *as

implemente+ to )enerate te *ae'orm so*n in

i)ure H"

i)" H" %utput *ae'orm o' 1RI 1L

$e pasor +ia)ram 'or 1RI 1 an+ (y usin) te1ER$!CAL an+ AL$ mo+es o' te oscilloscope"

C#$% (' C#(% ( ' Time*+iv%(&&

,s

i)" 8" %utput ae'orm o' an RC Circuit 1Ran+ 1C7 in Dual Mo+e

1R ain) a perio+ o' 8> us an+ 1C *it 88 us it can(e +e+uce+ tat 1Rlea+s 1C(y H us" $e equialent o' H

us in +e)rees is 3"4, tis *as o(taine+ (y te solution

so*n (elo*"

=360(t)

T

=(668672)

668x360

=2.16

Just like in /art C"3" te ADD 'unction o' te oscilloscope

*as implemente+ to )enerate te *ae'orm so*n ini)ure "

7/24/2019 E5 Post-lab

4/4

i)" "

%utput

*ae'orm o' 1RI 1C

$e pasor +ia)ram 'or 1RI 1C2 1$ is so*n in

i)ure "

i)" " /asor Representation 'or 1RI 1C2 1$

!!!" C%#CL&0!%#

Dealin) *it in+uctors an+ capacitors on actual

circuits *as ar+ at 'irst since tey are still ne* to te

proponents (ut as te experiment *as con+ucte+, te

(eaiour o' tese components *as un+erstoo+" 0incete olta)e o' te resistance is in pase *it te

source current pasor, it *as o(sere+ tat in+uctorolta)e lea+s current an+ capacitor olta)e la)s te

current (y an an)le *it a )ien ran)e o'

0!!90 " $ese o(serations sall (e use+

'or 'uture applications on i)er EEE su(@ects an+ on te

'iel+"

REERE#CE0

K3 Lee, C"" $) Circuits" 3st e+" $ai*an: !60ou &niersity, >435"

e(" = #o" >435""