final-solns

final-solns - A3 1 10 points For this problem only the...

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Unformatted text preview: A3 1 10 points For this problem only the answers put in the boxes will be graded (i.e., you don’t need to show your work). Consider the circuit shown below and assume that Vs =1010° and a): 100 rad/sec. % To ' f a YE. :: £ ‘1' (a) (4 pts) v; = I A. j = (b) (4 pts) V; 7“ (are 3:9; Z = i (c) (2 pts) If the frequency were increased, would Z stay the same, increase, or decrease in magnitude? as w’P =3 Rifle; 23‘? re mt AM”? J (43¢ “:59 flop : i J/ "? F C M M i wreckage”; mfmwcfi « ‘kumsuu-«m‘w1::ngmawW.S~rM\m§fi7fl‘53W!»mumfimlltwmhumfiwwwflfi$mm~v B O l/ Clé‘idLWaef z, mmW WWWWW WWWWWMWWW1 Ammo ‘3» 6 “WW. u.“ v, d (it; Ffifiti‘fw A4 2 5 points If you have a purely inductive load with a reactance of 2/377 (2 connected to the 120Vrms 60 Hz (i.e., a) = 377 rad/ sec) AC line, what value of capacitor (in Farads) must be put in parallel with it to set the power factor to one? Explain how you arrive at your answer or you will not receive fitll credit. :g 2: ' 1L XL3771L eat. 7% Z, 3.23% P124 77 rév W1 {3% (CL) (QT—OD> yL : Atom-é— '3. é<w¢~ L” 3 5 points A Thevenin source with an open—circuit voltage of voc(t) =10003100t V and an equivalent impedance of 20 + j400 Q is connected to a load consisting of a 20 Q resistor in series with one other component. What should that component be, and what value (in Ohms, Farads or Henrys as appropriate) should it have, in order to achieve the maximum possible power dissipation in RL? Explain how you arrive at your answer or you will not receive full credit. ___/\/L_.(YY\..—-—-» —) 2,0 labia 0 VOW Mme-ac, Qawa/F" cos, Haggai ab: 3 (:0 “3906) 1L. (Elf—5 #390025) C's-L— 29 “’3ng (ADC—v“ flea. filémgmrl» ghaolel \Wfl £2» {fig-flaw ‘ WW I- 5'on = 0.5745 = 29%;: M A5 4 5 points Consider the circuit shown. Carefully draw on the axes provided both V20) and vR(t) and label their peak values. [5:3 } 5 20 pts V(t) Consider the circuit shown at top right, which has a source driving a load comprising a resistor, capacitor and inductor in parallel. The source voltage is plotted on both axes below the schematic and has been present forever (i.e., the circuit is in AC steady state). (a) (6 pts) Draw 1'}; on the top axes and i L and ic on the bottom axes. The numerical scales are the same, but are obviously in amps for the currents and volts for the voltage. Label the peak values on your plots. (b) (2 pts) What is the average power being dissipated in the resistor? Show yourwork. P V‘ a: M Til—Um) 2R 2. 5;n¢,¢ V 5: I; are, ‘m gamma i (Jim 525 *0”? (c) (2 pts) What is the average power being dissipated in the capacitor? Show your work. Pg :0 I Capaafiors Ac) 940+ all‘sta‘Qe ath Pom u": Ur“ ELM “J- 0 $4‘nca & '2' (700 "a... All 9/ mmms am. We: sigma, A7 2. (d) (’ pts) What is the reactive power in the inductor? Show your work. QL‘ : VM-T-Lmfl/(‘IWCQL COL 1:. —90° .7, :2 (1)2}? M6739) z. Qt; 1' 'fi VAR w m (e) (4 pts) What is the power factor of the load? Show your work. . __i_.___\_,... = K=J§+ch~ui * "96°C— {5 =1+3®3~2fi3 , at; got. X; w__ w o :3; L \ PF" - Z (f) (3’ pts) What is the complex power in the load? Show your work. w..— Ir 7— V Y ( fr 1‘s +Lic: phase/t Valuc‘; 4m QLVCM 53 éhow/L a"; «fr/Lia -1 fig v :HK . A8 6 10 pts Use nodal analysis to find the AC forced response for v(t) in the circuit below. Assume that is(t) = 4x5 cos 2t A. Explain how you arrive at your answer or you will not receive full credit. | 4‘ 3<J§“flg> i '9 73419.5; Mmasa flu: U0l+eoggk Gama/apt _ #27? _____ L‘ , _/-— i... V" 3 v :- ( v =— ewe/gov 1: ,3 new A9 7 10 pts Derive an equation for the value of R required to yield a critically damped response for v(t) in the circuit shown. Explain how you arrive at your answer or you will not receive fidll credit. R + 5") 0 v0) _1___ LP _ :1 C. gm" 2 .LL .2... v C72» 1 f F “y’al- V :— VZCJPLV r a m L \ m 3&5“) w ————-E————/ ‘ 3k / *' #3; LP 4w it! Jré’fiva) R ~—. LP ————— SCH LC? P2” +Lf>+ [2 ‘4 TL& QEFm,E$”§‘€KCW Pa’LYw‘w-JKWQQM {3 We); Laugh +3 “L”. as» % F‘T’W m t .. LL27- ate—R awmfii-‘ii L“ 9 an?" DZ?):€> “=9 23%?" (44-!— rs 64‘54‘ t‘ Lag/Q41 iamm "2., & LL~LfLGfi CD «:5; K M ‘7 4 “L9; E"Z,l/c, am. ., WWW‘xamm—nw‘s WWW, WWmum—v‘mn‘} ¢quWWW‘“ ’4 .— “4’ .. “mm-m AXE H’ erxawig Me; *flfidrr {Dam-<5. A10 8 10 pts R Consider the circuit shown and assume that C = 10 uF. (a) (4 pts) Derive the value of L required for the circuit to be resonant at a) = 10 krad/sec. Explain how you arrive at your answer or youwill not receive full credit. Qawéwlée, ’73 YC’HL‘: O 2’? boa-‘32— :O « 3 [0 ~ :0“ 21m M» i L w :3 IOOMH (b) (4 pts) If vs(i) = 5 cos(10, 000i) , what will is(t) be? Explain how you arrive at your answer or you will not receive full credit. 6%“; “:10KFAA/5q") {Cw/:0 “53> Edi—“:53” are) "~20 w A»! wam “fir; flaw-«a (c) (2 pts) If v30) = 5 cos(5, 000i) , will is(t) lead or lag vs(t)? w< too a 21292;” m YL>Y¢ :5 inductee}? down} wagging “View irc+fi£ a L»); 1\ \aé. & ‘ Cmpbcbiwiuev is tie) mu la? Wade), A11 9 15 pts Derive an equation for v00) for t > O in the circuit shown. Explain how you arrive at your answer or you will not receive full credit. ,U L. A12 10 10 pts Find the values of VR4 and 1m in this circuit (1 want numbers). You may use any of the techniques we have learned, but explain how you arrive at your answers or you will not receive full credit. , I \_ ,ls/”?7\ fizz a, URL, mg. oneqLCecfiieaQ b6 Pewdina Q5 % Lhanafaé 444:, erJef OP RJP-Lé‘K/s‘ as shown}; ‘ KLLQUA : (4111235,, ha IggnwA) W‘s—Jr Ls)- We) 1— seem All Li Exxamg “‘r‘Liezn. fiemmzfi ...
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final-solns - A3 1 10 points For this problem only the...

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