EE411_Fall03_Final_Exam

EE411_Fall03_Final_Exam - EML Panutm worth 8 0M +9...

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Unformatted text preview: EML Panutm worth 8 0M +9 " z . , Kg @ EE411, Final Exam, Wed., Dec. 10, 20 3, 2-5pm, BUR212. * Name: "" Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 1. Find the Thevenin equivalent for the circuit shown. Your answers should be in terms of V, k, and the circuit resistances. 0366 2 FOR +59. ape/v 01km},- Voc ; VTH.: W .= Emu pkalm WWW 8 oiw +9 __ EE411, Final Exam, Wed., Dec. 10, 200 , 2-5pm, BUR212. Name: Ten Equally—Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 1. Find the Thevenin equivalent for the circuit shown. Your answers should be in terms of V, k, and the circuit resistances. I EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. @ Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 2. The following three parallel devices are connected across a 120Vrms, 60Hz wall outlet: 0 100W resistive light bulb l o - 250VA refrigerator with power factor = 0.80 lagging -—‘-—~ ’363 CU! Ravi PfN6 i e” o 33oF capacitor Assuming that the voltage phase angle is zero, find the total rms phasor current (magnitude and angle) flowing out of the wall outlet. i’ Review “a”; 9L: “*3, lit-'17"; 723‘033310 29” C» i M -" S .. 0 FOR w Refiflig) IR- via/Elf’ I20 3 20914363 14 A. \7 ~ a I‘m-r": 033310+$08113ifl +éli4‘5l3 I : 0:333 + luiobg ‘9 MM”! +3 i =1 3.30 0.5144 ' EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. @ Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 2. The following three parallel devices are connected across a 120Vrms, 60Hz wall outlet: 0 100W resistive light bulb '- o 0 25 OVA refrigerator with power factor 0.80 lagging —-36; 7 Guflflefl‘l’ fiNa/C o ‘47uF capacitor Assuming that the voltage phase angle is zero, find the total rms phasor current (magnitude and angle) flowing out of the wall outlet. ~ 4? I00 For we. WM, IL : 5—“ : ~————— : 0,3334 v* - )ZO F04 we RQ‘PAI f ; é: .. ago/:3m_ it rL v» - W .v-;2.08[—36.914v R9 ‘14an f0: 0 __ \7 w \ ~ i a EC ‘“ W‘L. .. V : (ia’DVZT’X‘Wx /o"’)(:zD) :. 2.1% I. = I; + Ifl, + I; 0.333 +[\.bbB—é\,34fl~+§zd3 EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. Ten EquallyeWeighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 3. A three-phase generator has delta-connected T windings and is producing SOOMW in a balanced operating a a condition. The line-to-line rms voltage 17% = 18kV£30°. Find line current 7a (rms magnitude and angle) when the b generator power factor is 0.90 lagging, M * I c \ N ‘ g : éae x. v I r 3 am“ " _ Vb __ ’300013", V v; m 4W w __v vl ' ' w p , Sing '" items) = \852 293 M A .,./ of? b! - Si ,\ 85,2, ram x )0 t 0‘ ' Mg”, I: L = mafia x I03 1 (@ EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. Ten Equally—.Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 3. A three-phase generator has delta-connected f I windings and is producing 25 OMW in a balanced operating a a condition. The line—to-line rms voltage 17a], = 18sz30°. Find line current 7a (rms magnitude and angle) when the b generator power factor is 0.90 lagging. S [v N‘ c N _. \74b 1.; )3000130 = (0.36710 KV EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. Ten Equally—Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 4. Two sinusoidal 60Hz voltage sources are separated by an ideal inductor L. a. Develop an expression for complex power P + jQ flowing out of source 1 in terms of V1, V2 , 60L, sin(6), cos(6') . b. Use your expression for P to find 0 (in degrees) if P = 100W, L = 100mH, and V1 = V2 = 120Vrms. Recall that P+jQ : EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. . Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. N Problem 4. Two sinusoidal 60Hz voltage sources are I —> {\ separated by an ideal inductor L. j 60L a. Develop an expression for complex power P + jQ T P+jQ flowing out of source 1 in terms of + + V1, V2 , (0L, sin(0),cos(6) . V14 go V2400 V b. Use your expression for P to find 6 (in degrees) if P = 150W, L = IOOmH, and V1 = V2 =120Vrms. ~~* Recall that P + jQ = V11 5') $9M. QBUaH'M) as [N Q Q SW9) : wLP 5 02,077)(I00x/0";)(/50 : 0ng V, V; ammo) '9'. 7' 331.0 W EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. @ Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 5. A controllable voltage source is connected to the 209 IOMH series RLC circuit shown. Voltage V3 is set to 10V peak, and its 0 ‘ frequency is slowly varied from 1H2 to lMHz. a. What value of frequency (in Hz) yields the maximum current + in the circuit? b. What is the rms magnitude of the current in part a? VS 47 uF a) Tke Johwe % 526m Eli/‘6 boa/aw... {e R+OiwL + awe ' We Gamay-t rams M Ni-l'ude, will b2 Hoe. afiefiil-CS‘f" (20%er ‘H’lfl +o+A/€ (3; f5 +L~e SMWllebi'. 774:3 0601/15. cal/yew QWL+ 5-5330 0%, 5606's Resommccl) ¥ “L ;m 50,91, «Awe, VOL—“weiw m; “J we Hi! 2: 0,394 Ar- Rm EE411, Final Exam, Wed., Dec. 10, 2003, 2—5pm, BUR212. @ Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 5. A controllable voltage source is connected to the 209 _ lollH series RLC circuit shown. Voltage VS is set to 10V peak, and its /\ frequency is slowly varied from le to lMHz. a. What value of frequency (in Hz) yields the maximum current in the circuit? b. What is the nns magnitude of the current in part a? VS 66 uF EE411, Final Exam, Wed., Dec. 10, 2003, 2‘-5pm, BUR212. @ Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 6. An automobile battery has an open circuit voltage of 12.6V. When two headlights are connected directly to the battery terminals (headlights drawing 80W total), the battery terminal voltage drops to 12.2V. Find the Thevenin equivalent circuit for the battery. » EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 6. An automobile battery has an open circuit voltage of 12.6V. When two headlights are connected directly to the battery terminals (headlights drawing 80W total), the battery terminal voltage drops to 12.3V. Find the Thevenin equivalent circuit for the battery. c. EE411, Final Exam, Wed., Dec. 10, 2003, 2—5pm, BUR212. q Ten Equally—Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 7. V A charged capacitor is suddenly connected across a 100kQ resistor. 5 seconds later, the capacitor voltage has decayed to 1/2 its initial value. Find the capacitance in uF. EE411, Final Exam, Wed., Dec. 10, 2003, 2—5pm, BUR212. Ten Equally—Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 7. A charged capacitor is suddenly connected across a lOOkQ resistor. 3 seconds later, the capacitor voltage has decayed to 1/2 its initial value. Find the capacitance in HF. See ‘ngmit‘a ~320on 6L , EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. 2 Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 8. The capacitor shown has V(t = 0') = 50V. The switch ‘ r 0.19 closes att= 0. XL X t -0 a. Develop an expression for capacitor voltage V(t), t2 0. State J 0 do) " the damped resonant frequency in Hz. + b. Usmg the grid prov1ded, carefully sketch the envelop of the V(t) 2 SM: 1 OHH decaying exponential term of V(t). c. Superimpose the complete graph of V(t) within the envelope. . — , Determine the min and max/values of each of the first two 1 cycles. . geRlFé)’ : $3“; KFwd/5) OR [0107 we >o< 63,0md/5)10,03KH% T: ‘/ ,6 Wc’ W9" °°> r" 0' _ was , So) VG) = [Hwth + BS/wfigt16 , ’Wo)=’/} : 50 Use. E: d7 +0<Aw 0+(§000)(5'D)- p n B W’Wd 0 630003 ’ 3'Q7'lé’ ‘ - ex Slime. A>7 8/ +te, glen/>1» I3 65500797)” I’Vl+);§0€ fimufit— Z (6004 Emma, fog / ‘ {3L ' p l P (WV/gt Wfaws I Ill-IIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIII 5W Ill-llllllllllllllpz SSIIIIIIIIIIIIIIIIII gull-lllllllnll. s!!!l!lllllnlll Inn-finaanlulgg . lullllfllIfllfllha n lulu-Inggllnga_. ulllng==anllalgp IIIEEIIIIIIIIIII-I ,xinlllllllllllllll éw IIIIIIIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIIII 0 100 ' 200 4 300 400113 72/ .me Mme/m 30?, _0V ‘ I“ I I E “HW— Nea Mitvb I e, w vet! ope," EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. (E - Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 8. The capacitor shown has V(t = 0‘) = 50V. The switch 029 closes at t = 0. i ' a. Develop an expression for capacitor voltage V(t), t2 0. State X the damped resonant frequency in Hz. + . b. Using the grid provided, carefully sketch the envelop of the decaying exponential term of V(t). V(t) ZSHF 10“ H c. Superimpose the complete graph of V(t) within the envelope. — Determine the min and max values of each of the first two cycles. See desmfffiiw lN @ I 0(: f: 7. %: IOOOOgL) wo: gawk“? Maw/5 : ,BKH-B“ T:-%; r: [00)» “Ce Cm ;.oH: VIM-:imosuge +Bsmwd-fle ) 1210):?!) :50 I [5 : ‘33, “(A ___, 0+ (wowyib)= «B ax , . Fm PlOHiNg ) use. 16+) :- Soe *9st ,SINCQAA‘ :5 MW. 3:290:04» +LHIV 8 I III-IIIIIIIIIIIIIII 5W III-IIIIIIIIIIIIIIII E!IIIIIIIIIIIIIIIIII WISE-IIIIIIIIIIIIIII IMILSIIIIIIIIIIIIIII lflllnfiaslgll §W Inn-unallang lulu-Iguana: lmlngaulllll IINZIIIIIIII IIIIIIIIIIII 0 ,‘100. 200 300 ' ' 400us —5 0V .852? mu 3:3 o>flm>tou on“ Bfiwmom #52: on“ E £83 2: En Ea J :32 H8 cosmst :35 05 3.55 .mmz 98 2m ME "32 8a m USN nN J E8059: 50.53 30:30:65 33:8 05 £265 «Soho 2: 8m 6 52:95 63333 «oz on .mownm $2; .8 €95 =< 33w 4.3?th 832 a: 38am 959 650395 coaaflo>9$=a=wm :3. .223 £53 :83 .3 .8: :33 “E5 35m .2va .852? mm 258 o>um>fiow 23 833% .waE 2: E £58 05 Ba 93 J :82 How douwswo :88 2: 335 .mNE was .22 “22 8a m ES “N 4 $8059: 52309 $38268. 33:8 on“ £39? HESS 08 Mom .m again .oESmEH «oz on .mowam 823. a: x33 =< Beam £335th 832 ac 33am 9.: £59395 wou:w_o>>am__a=wm 5H .NHNMDQ “Eamé «mega A: don 9—53 "Sawm— EER .Hfivmm EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. Problem 10. 159 a. erte nodal equatlons for voltages V g 3R A JG. and VB at nodes A and B, respectively. b. Eliminate V A and V3 to yield a sing e equation for V A. c. Use your equation from part b. to solve 30V for V A. Use. VA: 3'0-— VA) Ame! subsyk'Jale 1M0 ég@/ , , I i- 22.- I , v, B+ ‘é’v’l +0,$(30~Vpr) :0, V6 75*?) “2+3 )5 +0; 4) /5’ 3 50 Ve(—’-l’—:—,§—>: V-—)3+VA(§L +5: ')B+~VA("£Zti> 75' v6 :(gx—mgvl) = 435+ 324’» EE411, Final Exam, Wed., Dec. 10, 2003, 2-5pm, BUR212. Ten Equally-Weighted Problems. Two Sheets of Notes Permitted. Show All Work on These Pages. Do Not Unstaple. 150 Problem 10. ' a. b. C. Write nodal equations for voltages V A gmda and VB at nodes A and B, respectlvely. Eliminate V A and V3 to yield a single equation for V A. Use your equation from part b. to solve for V A. 35V ...
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This note was uploaded on 06/19/2008 for the course EE 411 taught by Professor Lee during the Fall '07 term at University of Texas at Austin.

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EE411_Fall03_Final_Exam - EML Panutm worth 8 0M +9...

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