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The procedure for nodal analysis can be divided into three basic steps:asu_toutdefinition_tinDefinitiondefinition3.04Let's apply the step-by-step nodal analysis procedure to a generic circuitapply_steps_tinApply Stepsapply_steps4.0Step 1: Label Node Voltagesstep1_tinStep #1step14.16First, we identify a reference node, called the ground node, which is set to a voltage of zero.step1_14.2Often, the ground is connected to the negative terminal of the voltage supply.step1_24.3To indicate which node is designated as the reference, the ground symbol is connected to it.step1_34.4Next, we note where other nodes are, and label them: V1, V2, V3.step1_45.0Step 2: Apply KCL at each nodestep2_tinReview Of KCLstep25.1To apply Kirchhoff's Current Law (KCL) at each node, it is important to note that we will consider current to move from a higher potential to a lower potential.step2_15.2Kirchhoff's Current Law (KCL) states that the sum of the currents entering a node equals the sum of the currents leaving a node (what goes in, must come out).step2_25.3Ohm's Law is often used to describe the current. Consider current moving between nodes B and C.step2_35.4The chosen current direction is at our discretion. Let's pick I to move from B to C.step2_45.5This means B is considered positive (+) and C is considered negative (-).step2_55.6Now apply Ohm's Law to define the current based on the nodal voltages.step2_66.0step2a_tinStep #2step2a6.18It is actually unnecessary to apply KCL at node 1 because V1 is simply.step2a_16.2Next, we apply KCL at node 2. Begin by arbitrarily choosing directions for the currents at node 2.step2a_26.3These directions were chosen with an understanding that the source voltage is driving current towards the ground.step2a_36.4The sole current entering node 2 is expressed usin Ohm's Lawstep2a_46.510There are two currents leaving node 2.step2a_56.612Place those current expressions into a KCL expression for node 2.step2a_66.720Substitute for V1 and V2 to simplifystep2a_76.825Finally, the KCL expression for node 3 is developed.step2a_86.9There is a single current entering and leaving node 3.step2a_97.0Step 3: Solve for node voltagesstep3_tinStep #3step37.1V1 was found immediately, and the KCL expressions yieldedstep3_17.2Rearrange these two equationsstep3_27.330The two coupled equations can be solved by substitution or a matrix approach. In matrix formulationstep3_37.4The solution isstep3_48.0Note that as we gain experience solving circuits, sometimes we can intermix methods for a more efficient solution. Reconsider the generic circuit used earlier.experienced_tinExperienced Approachexperienced8.1experienced_18.2experienced_28.3Once again, V1 is easily seen to be equal to Vs.experienced_2a8.4Here we consider an alternative way of writing the KCL at node 2 based on our knowledge that the current through Z3 is the same current through Z4.experienced_2b8.518Hence, the KCL expression can be written as...where we have used addition of impedances in seriesexperienced_2c8.6The beauty of this shortcut is that the KCL expression yields an immediate solution for V2.experienced_2d_18.7experienced_2d_38.8experienced_2d_28.9Now, because the same current moves through both Z3 and Z4, we can apply voltage division to find V3.experienced_2eFin9.0finishedFinishedStateCountInitialize  =commandcmd NR NR I   IL {  = ROOdOdOC NR  I  I  I I I I  _I !?"I-print:#bframeprint1 #=>$I7%I&I'" I I4(N N)N*N+I ,=u-I4./N0N)N*N/(N N)N*N1)N2N3)N4N5)N6N/con1 7= #=>GetContent a8)N*N(N!N)N6N)N4NB8'''9B8>sequencesec: ;<;=>?;R:? @O?NO?N^O?N2O?N2OA)NBNAI  C?NDR  =SetConsoleModeEUpdateText.1)N2N3)N4NTimeDelaytimeout: ;<;=>?;R:? @O?NO?N^O?N2O?N2OA)NBNFI C?NDRStopAction)  = ExG HRNON^ON2ON2OI JRN6ONONdONdOShowStopIndicator> =E`G HRO^O2O2OI JR6OOdOdOStopWithoutIndicator' = Finish  ButtonSoundPKK< LM@ NLOR LPRrueQR=> randn.S0GSI >> AboutMsgBoxtxtTUVGIWX> Y Z  46*B2  ! 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gunship )_c`0fff(txtPercent0h5X1|.M~pKm GJl} ߽@G*RՀ|$ORg>vlVTl id mw`&T!( v%f%,fؖ%y@5cZP,%b9)S(rRg"#7ܹV|uI6g%@e#.B=MD…n\i45cZPӖ#XJf r5cZVӖ#5c.SFixeNDIQ@=R.|7^o=IfQ-KT3z,7.q5c&S3afyUje$ p~J&Z.P˧-#AFdTـf!{b[h &(N5hVӆ"JeR @1'@d ZN^T.ٱ@rP` o؜Y/)tb`yPbV5cS%E(MoDVۨ-8@I.OM˧-A5d.m5$ԌQ}1&ӄ7,I`#&33a,ńs$͆i4:ѾD8ZSeY$K ( 6^ݭfFc} 5d\6(7Z 5%1Ya =$C-B{\UI V"VERANDA /:ASUacdefghilnpqrstuv\h pq fff&@R8 #8ho8Ch8p&Ny飇zohfLoy0<hppqfffR 6=N8ޚpI9-zN$=,p fffX Szx:#P\m~X5ªX'ZyOwfff%o;Ni%?>} m 4m4u-K'5Jl֐5J$,+E[+V M>hh%p1" P`.h5#,-j2K uq_u.+,ir %'.&Ы"z-ےfS2) \hBlh[j#4&УLXhMh9f>YF&ЦZ0p^rn0phma4 ,@@r'**Y pY@)LvT[gAğU톭m@5tu1m Jlr( qk dD &@@m@@@@@9@@@ @ @[@@@@L@@"@~&@*@/@3@g8@j=@B@H@M@S@Y@_@wf@.m@t@A{@@/@@@,@@;@@%@l@@@@@@@i@@@@@@@K@= @d @@N@@ @7@@-!@$@(@(-@1@,6@:@@@9E@J@HP@V@)\@hb@h@o@_v@p}@@0@ݓ@@ף@#@@V@@@[@@4@@@@u鐓Offf%ɋuV x!9%vUKTMP(!9%Rbo~,ǶYMU^`_ Oh]K)w n D &?O _parentgetBytesLoadedgetBytesTotal_rootMathroundinitfade1gotoAndPlay isLoadedNNI>percentLoadedF R R d R> R&*fade1mQ`ctJmInqo ~."& l@ \{loader1@ Loop?;plpercentLoadedloader1gotoAndPlaytxtPercentisLoaded =R =@?@  exit_loader@@?/ load1_tout@A@ asu?asu@@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?asu@?StopAction=?asu@ asu_tout?asu@?asu i@4@?asu i@h@?asu i@@?asu i@@?asu i@@ definition_tin 1UQːUQːzz!!44CCLLUUww%Tk45eҠ ҠIsQg˚` ` Z|\k 8iNj˥@@LP+8+4ϗ5Zl|T8iNj˥@@LP+8+4ϗ5Zl|8iNj˥@@LP+8+4ϗ5Zl|)&]#a X@ #.@oā؂nK2p+PHd-&CCԃd. xFnܠ [#村K @0 z lYdB!kkխ͚+Rh$4^/ )VHH 8!$Q2pĪ}I5$}N&њs6ހxx?wsD w,;Rc?Dj[7_6J@7ݟj>aS$v 58=k0^nxʑu#MUVf\M:|j(NEcN {9fa LbNu aTc3Wc.do^AJ蟤2;kH#YnM_eJN0ШvT i(~qzW݌"ٮq@eXJvPo `3鷕'|UOOgD Z0j*q1DT_arڝ ^$"4e#4edمH"dLrdZ5gUC :EY̧he֯= @ʺXwvﴺEYpQ(?A`&IQ~,?+jK)ҨssP (NZ}'w~g<48FUyPr'17;Q!uj!l>ƜyWNxxw{BRn 0κtROʞyש6&76eѧ苳!!b*ӇXd6#aAs`wg1U3\U) EէU XԺe܈l*YbR1 a181GCL"{B&wxa5/{Y{]\@!+VSΧe j@κuKz 3E1#knαPR7HMvFH(}N^x /Qp6\HXN z@κG;j~="HdC-Qij/N[m,7sq+TP(I%aR Ģ^^ -Tҩ2 YTjuAJ]KRfEZPwwxoڑ?qovch9 )S~eMoJ{Ѧܐ[8\o%T RWr#9H&tv :(кbǘHb%ȤC>cm05̼y3*t$ʌ4S4`^ESvTũ4"Z v ߶@ZBQGR#D? `ܑƚ4ʊdSjԷPi,Wdbos?Q]Jk"_XELMDJQ-; 2@ʺ얊f&)0L1` b0ʺ X\ X 1UQːUQːzzgw!4CLUw%Tk45eҠ ҠIsQg˚` ` Z|\k 8iNj˥@@LP+8+4ϗ5Zl|T8iNj˥@@LP+8+4ϗ5Zl|8iNj˥@@LP+8+4ϗ5Zl| 1UQːUQːzzggww%Tk45eҠ ҠIsQg˚` ` Z|\k 8iNj˥@@LP+8+4ϗ5Zl|T8iNj˥@@LP+8+4ϗ5Zl|8iNj˥@@LP+8+4ϗ5Zl| UQːUQːr%Tk45eҠ ҠIsQg˚` ` Z|\k 8iNj˥@@LP+8+4ϗ5Zl|T8iNj˥@@LP+8+4ϗ5Zl|8iNj˥@@LP+8+4ϗ5Zl|CUQː5/9JJ3V[->_.rӚPP D &? @ run@@@@@@@@@? end@6 Hn6attn5p P YC]εd1αdddd D &GX@ DGi@ &H+a X@a0pbN%un !d MЁlŖI Yܓ.PvF2uW/`M~ٻ %YBjhk2+rT n ۭ`,}@ jPYWcoGP󧜠6a{i 2(DNCū`hմ؇p%Nƨ@ 8\iq2?JF.j!"qշ[ TV-y֐xw HxD\R4&0 xBÁxD!%?gɠ0b$Z 8׏(QPxww{=r$"2n1[B _X;mG.1rL%jwxy>nlR+tHU4gQEQIC4ԠD%ُN4/X:RN`$EGy˷sEZ": _~nk@ !/hĒ } o Q)c{OWIY02?l@N VpAqOzLlI>D *b ^܇ݽ`A~ @^Dn[@ Y"qDsmn}jzT*!ĭgI-b#ӂrVHk=z 9ڹX} p0. 2FBLDG;`ew%E`|qDo0I$ Hr VS\` W' 6Nn!=Œc tpBð\Ռ*RL۬n൪WzR?&FT DR2 C6)ʶtq}&m3'&0&>5f=JHgي&c*Ȕ%HlM7>j_Cwӳ҆ Vt+"+U+ߥke2q"V'ODQfycӥ;麣`(+H069U9рXҕ:wV &^rGWdDqHEeq_}Ԁ9-%Kʪ*T (!*A$1Ԍ~NqiOm) r:3DVgf4]3R IW<&6+n6Br݃&sIa}FpPc*I) }%Ž)f c1ķ1ʈKD;Eإ+TCJB8BSk,v,.Ih[m2#/1IAa'O J kѩvRu*sNN{ьRؗE_ ֆD3QجP&הt(0jiaɤ?_ xM}=jRUV8KcȸlyZPWR.JuXaIܾ!V iܤio5H1|FnV=) J`FT(HE eb.Oߦwog%!7"!\`!"n?'?] Yc4oRfݭ BHƻ ƪP0fc17/zF8کFnc:UxUuRuuRƬuK(voQxͩE-U%a xƻPXP.F.PRK 4` .Ix[3/>L8?5eZY}M'bvo8٬dn6@5,,ePv#b*#D7fka5"'fZ5,Lebgfka5gf@mO,,i` ;I@p7jVc]U ]XbUtAk??DZZ ǒx*8N֋[h5eyW7-Ö~Nseq8 G@5herw+mb- 1Z6U!RSИA7gyyUG6P\ո@&'dmS'SdLzw15g:ys'^dC `C Tj y1vzL JE*TMJʓj_{د"Xpetv)Wb P``%H}xL#Lu1r25+3FJih@5J]᭸jVj;5Ta'cS؝WSnx, 5,5hwx!͚ePܣlp<*5F|fݤě~ V-23HyŻ#W"@5fvn[w[O4( K%N.P 2fB$/P -R%bͱAG-#DT3cJUڅ*EHG(.Ro~@m5hfܶlrIQf]Fmc40 @tf837D[hMmK6 ŕsU(L3pYg̻h5g"ܳr ^Rc<0(lxrڅ+X+GUcهSA\*ባvp^q 婀5EgSv'i߲9nn 5EOVv'i [{ rnmV.tj 7MZ]5qm WkTͭT?8bb&2)̢`V5gv}nQ8Pmn`Jk+E6TK ^A@7()V-#EvJS@5fjw#=Ƅ`RO1( ͵^ ]7C̥>ɀM59"T3>6m޹ٮW݉b(15gBfܫ`[-fwhRdOP48'fpk=iq|JrFȴ>+ ʯ\r/l.Էw&f\\@HABS(e _Db04`|]j5eyT6-z܇l$]}p5j;rR=b 'xOc^05i2yalr[ݚn+W2g٩A*5fNT@Jh*RBD|,TKHThM{( $JKݒړ)|;if E[n.1j ȀbCن%hNTi'fQ@Eտ6xv))+D0C5bvPin@%baIU:S3 "7R@&˲Bج{ @_+$W`͘4j` |kNX*T5djW7,ܰ=CmHta. Mxc6L e&3!J<oY slC: /g@*o;}5g‘Vf`e.8Sq`WLb70ƻ@A|-2, f1iUlT&)O[6Za5DEJ&ޛW2X@+*T/Dt2nRٱ i&y_^im&jDIH!4X&W,/V@5bQ&x\݊nbfa?VD% (ۨuʃSUvkZ7y 5X5g\9%IG&՛T jlT%*#.J,2bM$c6% ߚi2f˜*ـJL%T _UBb 's> bmc5bzPy%vYV&a"Cb\xe eSIx"ئ{ @5bzP7-Zal-llS5)wuMHZ-YFîlHo5brV7-#Z5k*,[[6)k)@JM))%i@SMnP5bV)%Ipo"`Ob(lfʭ&3*cLF2xY`5bVS&:oPDJh* M^Olk,K}],Ā )7-Q5Cb$0 sf,wS:m< @4̦3fC92.+#$?Lw.Q͊At48R܀5bZQe;a&Rhd@B9Ɛ&@LG n$9d"Z`.8P=nZC [`bTvWΘ4V` lkNX*6L5gV7 .KhPQ^Zϻ/X`Jr [` {7; fg+3[7%rU s'&˖%)̀@5bRTe?Mn@U©-I%%)lXs‹lSr݅5e^HKm@d.=3KRLH%!gN}QT?)cJneQ<4VZ5V|QzWgp߶i}lۂ]YB,v@5d"Q)Sy@& .2-gZCSK<^2K_gl_ll!nvenv5gPņ͔KRctl.̾,K05 O00(̢Q+)ŠJ=r>ۀ75gt'Yϛ^݅#}iڼ\5kr'EǗ8>{vx.."jf365bJZV`7\LdgbG}_ؓa]5gd97q a+.@ko^b56"|l0MrZ/Z5K4g6'ٷl^qX_]fߊ>Dveranda '()+,-.01234:=ABCDFHIKLNOPRSTVZabcdefghiklmnopqrstuvwxyzJxDnj *a[ kk=@ kkk ȅ ȅk ȅ , k k kȅ kk|u% 5- k kk kk k ȅ ȅ v kȅ 4 D &p @ (C @9(!i@@@FF{DP Š9i@@ŀ@z @?'runattn gotoAndPlayRB@ definitionh@@@@@@@@@@@@@@@@@@?}@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ definition_step1_tin@xt Fh:$ xdd\ȀȄȐȨPddȐdȴȌȐdдȨP_ȘȐĴdPddxĴȐȈdddddxȰȌdȴȌȐd D &i @6/>`~@@i 5@ŀey@  g#@ definition_step1>`@@@@@@@@@@ definition_step2_tinxx Fh8( xdP<ȸȨPܴdXE\dddȀȈdȔdddȐdȴȌȐĴdPddx,ĴdȔdddȐdȴȌȐddddddдȨP_ȘȐĴd D &i @6/m@34^s@ffD>I@řMI@·&@jm@ definition_step2@@@@@@@@@ definition_step3_tinx Fh7, xddIdx,PȐddȐdȰȤȴdȴȌȐdдȨP_ȘȐĴdܴdĴȨPдPȘddȐd(dddddĴP,ȨP_ȰȐȴĴdȼȀdPȰĴddxȭ,dĴdȸd(d D &i @6/"`@34^o@ffD>K@řMK@·/f@ definition_step3j`@@@@@@@@@@?StopAction=@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@  apply_steps_tinLu,jt-<%L4~Ak4Я/.TBN¯ `ye ,lt! 0tIZ]E,<%K2:':,I IHBߋu{EpLW'IY_*;\R+q OP=U  D &@%eգW= 0f<5*-0D D &@ D &@ D &@ D &@(5fNyWӖf.E1rt@5hezw,nrݵ:EP\_;ILP+)ڠ*|Lf5.c| BΙ 5f㹏5j糧b義⃘CŝN5i^-fpU{0ceό4 vveranda12VZXV 0` $W{ p0@(number1 #D &:X @ #D &:X @ #D &:X @ #D &:X @$XV!l Yu@Y8CUOL0<5Hg5LU=Oˀ-s-fl|D:Df4 D &@$u" 0% gV6 t z,TQɰ<%@YU8@UL @)#8U# D &@0`)- y@89! $XV!l 򀊞8I\$XV!l 򀊞8Q\$XV!l 򀊞8Y\2fԒt`Hd%eEVUX oP-7vzi6eߨdd-H x'7my9 K+gt)8 D &@ D &@ D &@6eߨdd-H x'7my9 K+gt)86eߨdd-H x'7my9 K+gt)86eߨfdd-H x'7my9 K+gt)8 ( D & static?@commandcmd cmdcolourcommand= @?@ red@?@ yellow@?@ blue@?@ green@?@$XV!l 8 $XV!l 8JXHـ YP6 Y*rU!d%0޴UoUUr\P  cQ*D t R৴nZGKY {!mUR_`hTtimes new roman0IXkv HX1QB%F Y X#Plـ YlXPX܀ Ylfz"g@P%tpz >`5x- YꀊY8iŠY 2/TY8qXJ!lـ YJ&X vـ Y 7D &t&U&@$X\l YꀊY8i$X\l YꀊY8q OD & step2a o$   number v ..3 3colour"red"ձĉh@@@@?@   step2bv"@@@@?@ step2cŀ1 ŀ2 03 3 colour"red"ձĉh@?@ step2c2 v .@@?@ step2d/r S@@@@?@ step2e@@@@?@ step2f@@@@?@6ŀ9P$8_elementdx4` Fh:tdȸȸȨPܴdXPxȜȴȔ]dEĴdExxȰdd\ȀdxXE\ xdddȀȈdȴȌȐddPddPĴ8P,ȴx_ȰddddȴdddȀdddPPPdȰĴPȐxdxxȰdddd,дd-dxȭ,ddȠPȜȐxdȴdȰdPȨPddddPxdȴdȰdPȨPd D &p @2 _@@@@?StopAction=@ step2_2WeG8.PP%JB  Jd:0L 8,D8*p8Պ,ztܜȐdȴĴȰdxxȰddȠPxȈdPȰdPĴdddxdȠPĴxdPȰddd\ȐdEĴdȠPTdddd,дddxȭ,d@dddEd D &p @ISn@@@@?StopAction=@ step2_5?.step2c2element gotoAndPlayRp` Fh1tܜȠPĴd,ȀȰĴd@dPĴdȰĴPȐxȌdȴĴPdPдdx xdȰȌdEdPĴdȰĴPȐxȌdȐȘȀdPдdxx xd D &p @Z s@@@@?StopAction=@ step2_6?-step2delement gotoAndPlayRxi@ Fh7adȸȸȨPܴdeȭ,EĴd\ȀdddȐȔdPȐddȐdxxȰddȀĴȌdȰddȐdȴȌȀȨPdдȨP_ȘȐĴd D &p @AT x@@@@?StopAction=@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@.02 step2a_tin?-step2acircuit gotoAndPlayR6 ŀ9bucircuit6?Hn6attnA@@=6/]%@=@i 5S@=ŀeygC@=  g?f:@ step2a?R&runattngotoAndPlaystep2acircuit R R=0@@@@@@@@@?StopAction=@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ step2a_1?.step2aacircuit gotoAndPlayRsh  Yu@Y8Y)u@Y8Yu@Y8Y)u@Y8 Beedd%jD]D@k@dqU3cb$ed%kCxjo >D &@UU@@?@XDaـ x 9D &K~'6@@@?F"(@ ;D &>8@@@@?ŀ.@7ٵ x$ Fh9TdddPĴdȈdȀȨPPܴdȰȰȐȈĴĴxܴdddȸȸȨPܴdXE\dddȴȌȐd$dȐȈĴȃx$h dPĴdĴP,ȨPܴ D &p @: g`@@@@?StopAction=@7: step2a_2?-step2bcircuit gotoAndPlayRpϬ` Fh4aشddddȸȸȨPܴdXE\dddȴȌȐd(ddd@ȘȠPdܴdxȠPdxxPPܴd/ȴȴĴPȘdȠPxȈdPȰĴddxddȐdxxȰ_ĴdddȴȌȐd(d  D &p @7 qw @@@@?StopAction=@7 step2a_3?-step2ccircuit gotoAndPlayR xd{ Fh8tܜȐĴdȠPxȈdPȰĴdxdȴĴȰdPddȰdȰȌȐxĴ_ȰȌȠPȘddȀdd9dȐdĴxdдȨP_ȘȐdPĴdxPдPȘdxxȰdddxĴddȐdxȰȌd  D & p @7 x @@@@?StopAction=@7 step2a_4?-step2dcircuit gotoAndPlayR \}P%r > `2H- YꀊY8)\Y 2/TY81\$XRl YJY8)\ ,D &  [&t\@ŀ83x` Fh:tܜȐdĴȨPdxxȰddȰdxPȘdȴȌȐd(dPĴdشxĴĴȌdĴPȘdeȭ,EĴ;\Ȁ D &p @7x@@@@?StopAction=@7 step2a_5?-step2ecircuit gotoAndPlayR\}P%r >`2- Yu@Y8Y u@Y8$XRl YJY81\ LD &[&t\,@@@@?@ŀ8\}P%r >`2H- YꀊY81\Y 2/TY89\$XRl YJY89\ ,D &[&t\@ŀ9Eep v  Fh&tܜȐxdxdddxxȰ_ĴdPȀдPȘdȴȌȐd(d D &p @7!x@@@@?StopAction=@ 7 step2a_6?-step2fcircuit gotoAndPlayR(uP%kסXHـ Y` qD &  +p~ ~ p>* 8@B>xW Fh8hPȈddȴĴdxxȰddشxĴĴPȰĴdPdddXE\dȼȀdPȰddxdȴȌȐd(d  D &p @ ix@@@@?StopAction=@ step2a_7?-step2gcircuit gotoAndPlayRA#(!l.P%8C5i >"`2H- Yu@Y8Y u@Y8$#XV!l YꀊY81\ p$D &!"=]p#(08p t>* 8@ $B@#%p   FhpȄĴdPddddxdxa$FhdȰȌdxaFh dddĴP,ȨPPdܴ &D &%p @&RT#@@@@?StopAction=@  step2a_8?-step2hcircuit gotoAndPlayR6ŀ9bu(circuit'x'  Fh4LܠPȀȨPPܙdddȐdXE\dشxĴĴPȰddxdȴȌȐd,dPĴdȐдȨPȸȐȌd (D &'p @.(y (@@@@?StopAction=@. step2a_9?.step2hacircuit gotoAndPlayR!)m.P%hp >*`2- Yu@Y8Y u@Y8$+XRl YJY8A\),hь  YA@%Ġ %%'-h P  YU% %% .D &){8*(0+@19 ,k\j -D1@@@@?@..Lʐ-/p N` Fhu;"FF((b &+J 2&dTP%l$dXȃc##$,dL"Dl $d@iABD̀ 2-dFȑ@@ 0D &/p @;0s`-@@@@?StopAction=@@@@@@@@@@@@@@@@@@@@@@.;=?A step3_tin?-step1dcircuit gotoAndPlayR6ŀ9cGcircuit60Hn6Gattn2G@@Y1p.€ Y i8Ġ % $i@% %%%% %ē % 2D &1p @.26/X\I@.@i 5|@.ŀeydÜ@.  g?V;@ step3?R&runattngotoAndPlaystep1dcircuit R R.@@@@@@@@?StopAction=@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ step3_1!3m .P%h@- z .4Xhl YꀊY89\YX N5D &3{84(0+@(6l.P%8C5i p7D &6"=]p#(08p t>* 8@ $8D &5L7@8ŀ9A$9x$  Fhxa$Fh0dĴddȰȌdP,,ȌȠPdȨPܙddȰȌddȐdXE\dشxĴĴPȰĴdܴPȨPȐȌ :D &9p @ :)x @@@@?StopAction=@ step3_2K;v)v%P%i>F "mwܑWVlב+IF :y@.<Xml YꀊY8ѠYX+=p qT:  xtæ0L:at^>X&Lahـ YX 2?`#X- YꀊY81\Y 2`$@XV!l YꀊY89\"AXI xY%Bp ˂T: xtæ0OECX`ahـ YeBXDXY"ـ Y` fED &;<SWM0*= > RT >4  + >L ?J> W@OR`AY1BB*>rv>ꐓ+4l`C7jx#D@Eŀ9 SFp4  FhmȀxxȰȘȐddȐĴdddȼȀdPȰĴ GD &Fp @ G1x@@@@?StopAction=@ step3_3Htp8>P%9-C8ײpZ!{' _AN S `-|g1y@.KN.ׄN õ .[F psg5y@,ya y@+.7.IXhl YꀊY81\YX JD &H<2_v>N70@Lew>{2 yǮ $逊 >QL N I~AQ>UPHf8>+(pCsLK@ľCxyP@Jŀ9xKxd` Fh8tܜȐdddȸȨPȌdȼȀdPȰĴdȰdȐdĴȨPдȌdܴdĴȄĴdPddPȰd,xdd,dxPشdȸȸxȀȈdddTdd,dxPشddx,ȨPdPȰ LD &Kp @Lqy@@@@@?StopAction=@ step3_4Mt p8>P%mj@-G8ײpSD;^s8DA;^~>y@,cai8(Nײp/8ײpZ^8'ײp2o,y@-1y@,LaCaNXZhـ YeB ,OD &M<2[ݠ> l9-߀>d  a % >~T y I3wwAQ>lj@,He> +(pCsL@4KC_`c`PN @Oŀ96Ph@ Fhu;"F@LV*(fABE 1Z QD &Pp @QIx@@@@?StopAction=@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@.02 experienced_tin6ŀ9ccircuit64Hn6attn6@@gRp; j(a!oooހooo!oހޠYoȸސYްވȐoȴިYȠYޘoQ+ȠYޠYiooȴޭMoYMo!oȀްoYoMYoMo޴ތȃ8.oooMoޔhoYȠYްooȴިYoYްooom!ވȴްȠYސooސރސްސYoȠYޠYooȐތoހYYoo SD &Rp @.S6/@@.@i 5yO@.ŀeyC@.  g@ experienced?'runattn gotoAndPlayR.P@@@@@@@@?StopAction=@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@. experienced_1?-step1dcircuit gotoAndPlayR.Q@@@@?StopAction=@. experienced_2?-step1dcircuit gotoAndPlayR20 V@@@@?StopAction=@ experienced_2a?.step2aacircuit gotoAndPlayRTp/  Fh eȈdȘȀȠPddxa$Fh dPĴdȀĴPPܴdĴȐȰdddȐdȼȀȨPdddxauFhd UD &Tp @.Uw[@@@@?StopAction=@. experienced_2b?-step2gcircuit gotoAndPlayRlVx Fh:QxddȰĴPȐxdȰdȨPdxȀdPдdܴdȔddxPdPȘddȐdXE\ddd8ȴȌȐd(dȀĴȌdȰdxdȴPȌȘȐddȀdddȐdxxȰdddxȘȜd|܊,h:PĴddȐdĴȭ,dxxȰdddxȘȜd|܊0hd WD &Vp @0W!c`@8Xf %-lnnۘIJKS.w@sƖ YD &X@.Y=S0a@@@?StopAction=@.02 experienced_2cZfZoP%sw ![lb0P%$~_C>\`X- YJY89\Y `/PY8A\ z]D &Zdf@Q[ &nnF[nn\[ F։ @]@e^xG Fh3ȐxddȀдdĴȌdȌȌȠPdPȰdȔddP,ȐȌȀȰȈĴdPdĴxPĴ _D &^p @ _*e`x=@ Fh4QȰȈdddȐdXE\dشxĴĴPȰdddȴȌȐd(dȨPdȀдdȐȐȰdxPddȰ aD &`p @a`e@@?StopAction=@ experienced_2d_1@@ ?StopAction=(blB\03P%"1C  >c`3X- YꀊY8ѠY 2/TY81\ dD &bD'kc^>u \ԉ6> > `m@dAj(exT Fh7tܜȐdȐȀdܴdȔdddȠPĴdĴȴxdddPĴddȀdddȐdXE\dشxĴĴPȰd"ܴPȨPĴdȰdP,,ȌȠPddĴȨPdPȰddxdxYhdPddx,ĴdȔdddȐdĴxȃдȨP_ȘȐd fD &ep @fj@ experienced_2d_2@gvQHQ"xP% ` # ed>F@P%F hX&Fhـ YX0ip .T: xtæ0L:atæ0(j @y5Fu_9( CM,MqSm5Mo!m̟vwqnD>"S@5g&f⳽_9h ci_ ؙ#*d&%BEO9 UDל\@5ly(E5wܚ|ڊ&:HWJ](wEɯlQfEHԱ0(v`5e63WW%s!rꨚ^ke~3= &۾Vc_yh5jf;HWJY${EɯIQfEFԏ)&rUY܋kjN&72\V"lujsymbolk`3͢h j>8V lD &k&@ mD &ghr|<6j8Wh|\) ` & #` iq`  hࣘly`hUMxh@myk@?StopAction=@ experienced_2d_3.nv@8P%QcJ_#'@8/op DT:  xtæ0L:atæ= pD &nh<Wވ\uho\u6> ߏ #~~^ o lhTh@~J@pm@?StopAction=@ experienced_2eqhrD-P%Ogp$rXRl YJY8A\ MsD &#܀q@ȉr\@sIotxI Fh2addȐȈĴddȐdĴȭ,dxxȰdd,дĴddxȘȜdȴdd|܊a,FhdȰȌd|܊0h)dddȰdȸȸȨPܴdдȨP_ȘȐdȠPдPĴPȰddddPȌdx,hd uD &tp @uo@@@@?StopAction=@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@46 finished?end C3SP@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?end@?Finish=?end@ about1Svugf(<%?P6 5: t5:~{@><-2Ʀo6x\95wuifdH<fff5شdileƨ]OI*xdB <fff5V+d9شd[2#ydB <fff%V+Ns!h$zdQ +^d[{%9̇TNŠ {D &z@ |D &{Wh@ W@ W@ W@ T@ T@@ Tl@ T@ Td@ T4@ T@ W@ W@ Wh@?sndButton31}#xy|zWh' }:~uIdH<fff-ɯ6{vRqҾU{M~?sndButton31#xy|zWh 1uifdH<fff5g)-%W 7eƠ.df(`0- YĠ%Ġ% 1hXr܀ Y Ġ% "`0- Y %%%ĠFui)nL<fff-o![p.BK_$dP$ %x ݄8?p k  Y1[i@q[E% %m%Ġ% Ep)  YjkǤM=1Boc7ޒ7oPoc|/M  w v@3Y(

Keith E. Holbert, Ph.D., P.E.

 o3Y(

Mac Radigan

 o3Y(

Kiran Reddy

 oS3Y(

Fred Vieux

4hbҀ Yj #{6.zHލQx3 m{*!9<"^m cl1KDs־e%w4dÈtb3YA\GTYGfj ͮcHkkhi43%Nce26"OdillfrS\H m%.cWfSfCqp̬ ]w'9F^c>|m~$@ N'ZܼfE;-hq$댆J*2^8lY:SePihmWͮ\;e~.9};ɦM.k3/srefRjT,1ɷMIX[ gwkB.@ t ^69-`pzK\R1ve6d8 ʂN+8 ^fKLGmrz8gk6cW)ͮcvKX;\73zd2Yk)cdpdgs6cW)ͮcvX;\6Ry]Me2|a^zЈ̜^-6I!%Ȁ`q!'&v"9 G2|@4[ ao޽8 +e\DRD"<`%,IE&T'*KkN[۽$SXjmo׽Fd֠>j/oQ I ĔTe*p %0W9ͮb5 l}L=u"d6( :KTVZTb u'y[!j/] v\ ȕZpܗfZoy)Bw3Z{ͦkhX,.v""s'/y{ BIr +eIɝdALP ,%X@5NGsiݲ.`"b)S"VT@ K0K\˟d[e@zKҤu. =a5Sª[U𠲀FDd^67yogtVͦG{-Pn!Y9$ Q:7[HYIM0v؉ Ia͡_0!k@1zz 8mwq *e?;;sn;u.x;I}M.k2']Nq7y,V6^+/z|6Ʌ[uOS%R9f_2TS2a`osYA\GTYGfj ͮcvJ@?kk2YR񯣄% 4iW0~;LOɚ|]p '=ޜʓr*~c7ҜG|(%bZ`,ד<6L}q#ݨJ^rxm7tFO n7UW‚ jf'5{ʋr |fKLGmzCillfrS\iw씁<70}smifVRQs%ACillfrS\iw씁<70}s'Yͦ_52Q3( :KT7VzEx2Fl|HbKˬ; %sW|K(!s vmuҔ'poi@^>^km7[BF(JP p+Vj'9F^c>|m~5C NWxͬxvRVNn$)UQ) "uMƞk3-\nP 2Dt Q/F1.i9@/k/Zi 2p3iff$ G۵E'܂^-ٸ %lߊ^Lݛ-:7[H!9fMof8y+SR&gQTVEL|X1Zp t,[k:ghr=L U&&鼎DMү'ʁ<\T-K@%OIG~@.r&6 i?#U,xޥ%u^RYtp7o~Kd޹m`w7휒ec5i(mT},m%=o{ Р^|UQ;|#qN*M C7a1N+Nm\nV R^^Ǜg$]6Mf3,$1A3(<%շg(%ʢ$O|ԟ?sndButton3;+i@- . .h, h;sn_parent context1N gotoAndPlayRstandard_parent context1N gotoAndPlayR ?1stopindicator2?1stopindicator2?sndButton3;+i@0 1(1h0 h;fn_parent context1N gotoAndPlayRstandard_parent context1N gotoAndPlayR ?5playindicator2?5playindicator2?sndButton38+i@45`5h3 h=play_parent context1N gotoAndPlayRstandard_parent context1N gotoAndPlayR ?sndButton38+i@89`9h7 h;fp_parent context1N gotoAndPlayRstandard_parent context1N gotoAndPlayR ?sndButton39+i@<= @=h; h;sp_parent context1N gotoAndPlayRstandard_parent context1N gotoAndPlayR ?sndButton3)+kHi@?ʼn "?=home_parent context1N gotoAndPlayRstandard_parent context1N gotoAndPlayR ;+i@- .P.h, h?replay_parent context1N gotoAndPlayRstandard_parent context1N gotoAndPlayR?sndButton3aC Yi@E0E0B Yi@D9ИDq#DЗ>about_parent context1N gotoAndPlayRstandard_parent context1N gotoAndPlayR  D &?FstyletoUpperCaseAUTOplayerVersion/:$versionplatformsubstrMAC RI0R RITp@g@ ,g57 P0i@fff(sCourseASU 101 D &??*BHC C  C c&i,r5/ȠZ\I@59s#f explorerBitemsarray1.0 - Scene 12.0 - Scene 23.0 - Scene 3styleMac @ OOOʼnHĤ:۬U@ loop?@p+ Yjdސoąo޴oސ޼ooąąQooooooooąooހ޼o7ąooąo&(*ola lU5ejf1)5gĎ|P)ܺɼC.u\`_jͫy0O>3zkB@)v[ 58w}0{ `$^TQ%P7|fJe$@5e^81C}/˧]p}.ǠJysR2 * oF]0Ɯi L9q%$#RdE`5jux2`@`>5heJɀ<Ljbm oL0 nfZu0oQp&?ҮĠ5d'pn@*GAn\75eFup&<5hBe@dJNXgV[T8oxn\8۹<9P f(gx\8uˉ,)':Iεvobkr7>$%x 5heL;ӸIfÈi pL0 pn[&,Mpn#o,-*ͬ@LLJ5I=f9xņ hv[67cp O^Q=B3 H Ӏ:57d.9 5 5dro*ˉJ*dt81j24UWܸ4q ]Q@>>SȔ9CIKD6Pq& %o]+5gvk[`-K.fSn\9۸2\j$5Je|vVJ:3l @0uދJIaR$@"\`k/^8O~|ϲ 9 LjK10r^McpmZ`6N@PكB5bURgw z*7|dɐ\ZzMh-@&L%O[+غ-+5i'zq5B{Rڶ 5Ccq!ǾN#H"(6dO֎Zl;Emw`{5i' ^n+h;В 5KކY-{]ʇ߻=q] E5i넏]'o@%? هs!"rƛy)veranda acdeghilmnoprstuvxyUp  Yj ޠoąoąo,@48o,%d0mhҀ j <@<,4o o8ވY oo7oąQoooooąodޠoSpJ_  Yj 7ooąo04Do,@8o8<o,(OpIk  Yj 7ooąo04Do,@8o8 oo Gp` x Yj 6 7oo kx )#y&P 77o #xKpT x Yj 6 7oo kx )#y&P 7o= 9O@;o j0 oLވY oąodޠoFh^܀ j58#xǠ[ǡ@Y{'Ӓ7zb߃z}ޒ7p*( Yjޜސoo޼ąoo޼oސވąoQooooooooޠooąo%d(@ 6D & standard^@@@?@ home_/@@@@?@ aboutW^@@@@?@ sp/_/@@@@?@ fp9_/@@@@?@ fnC_/@@@@?@ sn>_/@@@@?@ playk_/@@@@?@ replayM_/@@@@?@ menu/^@@@@@?@@@@@'m͹aE<5HgtLx"q 0menucontext1 gotoAndPlayRstandardcontext1 gotoAndPlayR7uifdH<fff5ش հTC-B{\UI VArial deiloprsuvpK  Y"i8 (jW ۈY(jۈ(jm?  "Y%a@ % =[%u%(j "Y%a@ % q[%( m %%5[  (]8I[% ( yA@%%n-%(+5!+jZP%' V