20081ee10_1_hw3sol - :12 3 nwmmwlx Raging by using 333...

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Unformatted text preview: :12 3 nwmmwlx} Raging by using 333;: 39352330334322435 444444.; the branch currents. 30c ‘ 3441323333233 3233332332. currents in terms of 34; : , _ -‘ 354,222 2'84 :2: 32 33314,; :2: 233/4 32 ~“4:: 1023A: 3034 , 0:3 *" [:4 3 I Now use KCL at the top made to relate the branch currents to the current supplied by the source 2L4 L33+24+14w8mA Expresg Ehé brannh currents in terms of '34 and soive 303 2'4: 3’3 {33 38 32 Sines the 3325353035 are in parallnl the same voltage 2, V appears across each of them We knnw the current and the mirage for P4 so we can use Ohm’s law to calculate R4: 8333A 3:. W334 52: 333343— 34 + 34 m 3234 230 I 37, 2: mw 2: 33333024) 42 {3.25 mA ‘C‘aiwhw 244 33373332 24 and 21336 (332133 13 333W as; above: 3:) 33nd R4: 3‘. (2433242224, ' 2" 63031334 and 3133: 0312.33 law as above to find [3 4: , ”‘5' iUUU +3U§Ww§15 x 10W} 2: 10‘ mA @fififififlfl émnfl r=3;;gg::§§§fglgog,+g3ug' 4 W, v 5 32, an {3 '/ (F I 4 en, ..« "g gijfie4éu, H @mfimxiwfizgvz 2:: 15 x 104’ “130051 :2 '3 mA \ 932009 * 3'1 kn 'U'ik “‘ ‘ V - ~23 V 2%, x «5 W '3‘ The iower left and righi (ieltAS can be replaced by wyes. Each resistance in the wye squats 3 £2. Thus our circuit can be reduaed to Navy aha 12 53 in parafiei with U 3‘2 reduces; w 42- {2. Rab == 3 + ‘43: 1:7 2:185? MS: $3; 9 V l 4*... 1% 4" - :5? «Hz 3} ‘ Z ( I 9 \1 W» :1 6: *. fim-we,~gfl,m ”W, 2 DJ {a} As can beseenfiomthe figure; the Circuik’thas Z‘Sepatate parts, {I}! That? are ‘flb‘ydéis *9 theffiiir‘black dots and the: “Odéwaitwéem the voltage ‘ marge an t fegistgf R1. . , , ,, , , , _ brancheés,,eajch containing 011%: Of the $394311“Circuit'mmponents‘ {d} When a: tan “CW joins the 10werJn0désbf‘thétW0 Separate parts, there i only a, singlepart in the circilit. There wouid;now be'4 nodea, because the two IoWer node‘s afe now joined as a single node. The number of branches remains at 7‘, Where each branch contains one of the seven indiViduaI circuit cempofientsf L S BOW 35‘ M 9}) 2w :5: Cu (‘7 ,M, 2 § « a J- ‘ a a 4. ”.5.” ' f :3 a! A}; 1mm: 2.: ~» 315 . a; , ml, _, .'fi . A " _.- , m. 1‘". rm 'f ,1. :2“: "N: Na: KEUUU J: 34‘; 5,1, _ '53 (“1-) D J . ., “ ~‘ ‘ * 4 ., N m, H.“ J V3.76 ”1,,” a»: ,me I " ‘ ’ - W ~ " '* ., " ‘ mx‘ii , :, swim me, human,“ m. J, 1, ”{3}; [Exam arr: 52:51:23 pmsmbm whmma, Em ”in: .4) 1 Mr v ~ a: ‘ w. wry massu . W“;a"?fim’flmvkv‘y‘mkéNw‘éfifidfifiWWWM“ 65"“? ‘Si'géflvéw ,, , , ~ fr“ ‘2‘». 'v‘u 3 f ‘1 w} H W x » “r , um! 3”?“ ,, > ‘ ‘ , . ‘ 7 “V”: J J? 1,1 ”Jim‘hfl ,3: “LIE“?W ’ , , \ ~ 3 ., , , , I": [ A , Dig J, lil’wl, “Km if 3; fifth“... mg “l ”41‘ ["1 A’qu ”Wu .xk. MM no. in A-“ ask. .g. m , , ,h p”, rm, « 2,, g, a;*a}::m,.m 51;, J , «Mummmwmm; mm w". H._ u“ a“ ’g ‘ 3-3, 1‘; .« ., a 1:1: ”flu a; «, r, .y , ,, « .; /- , 3 a ”E E E E , i s '5 12:; " 's a 2- _ E . :2:an E, z E 6‘" E E .3»; E5 .3. i a 2 if 1 E ~~~~~~~~~ ,1. x L, s A c3 ~7 E 5 q A 3;, . 4* M ,E W «W Mm 33:46:“: ”336% #3263: 6936 E ' ’ 1E ' ' ‘zE‘ E E ‘ E _ , '_ x k The two mad: Elmga cqvatiuns are; , ‘4“ I “i ix; ”E‘X ', ' l1 ’ {w «E ) + (E z 6 1"?- “EU 81‘ \V, I {5,} n tw "f‘, E“ ,.,x t ,,1,,. A) K "5 ‘Es+ 80 j"126 , 3013mm. '1’}; Dr: 1336 V and 63 m 96 V _ Check this result by MLECUidUnU thf: pcwer assomated With Each Lomponent E Camponent E Power De‘li‘vared (W) E Power Absorbed (W) E E , 6A E (6 A){126V)::4-720 (x) (3’) 4. The: a 0m: wimve aquatims are: 5?; :3; m 6);; ,‘1 .-. 3i} .L— .— .L “.2”... z {E ‘20 a [3} W Hg '63:} , 192 M U3 W a. 7* \ ‘ = U J «(1 1U '53 w 1;; ":23 w ;1 aid (:5 ~« 98 r ““7““ ”- -+~,--’-w = U 10‘ a J; ”i“ 3:: dependent sumac: constrm "uni equation is: 1.0 “31);” M1; Place {base dquacions in standard farm: 0 C; 55¢} if.) Pfifibf6fl23 iii-«3 1 W 1- .L.“ and r ”w”...— ‘ 1 mav1%& 1mg WM»? 1.1M % ‘ i + “15 7' 1 \VM g i , 1 '9 ‘~ - 1 ‘ i "1 ""1“ § - 1 + 1 11111; ' .1121 , , 3* «5, .1 “’7" $1.111 - 1133211 1 312m} “afi31312 -‘ . ' 1 a. 2‘ .51 1 _ ,- 1 i: g 1 x 1 L‘fimwmwm , ”WNW“ WM‘WMJ The Supernode 61111211101115; V , W“ 100 1/1 "31 1_ W” 4117131 U1 ”~11le ‘ ‘ -+mwwmwwa 10 ‘ 60 Y 2133:3111 ‘T ‘11:: wmtmmt aquauon for the dependent source is: “Nu “'7 , .1 .1 « 15,1) ‘ 1" 1 X 1‘ 13111:. 2; W SOIVlng, 1' 11"”75 V’; L . '1; T111115, ’1'? W lUU - N113 343 V ...
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