Ex2_f10_Solutions - A recent request from the Dean of...

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Unformatted text preview: A recent request from the Dean of Students Office asked that faculty consider giving multiple versions of examinations so as to assess the level of cheating. I am happy to report that after giving four different versions of the second exam I find no indications of cheating in this class. I’m proud of you! Keep it up. When you look at the solutions below, be sure to compare you exam with the correct version. Thanks, Henry Zmuda EEL 3111C Test 2 — March 17, 2010 Closed note, closed book — One (1) 3 by 5 index card allowed __—. _________. Period 2 or 4 Last Name First Name circle one - Answer all parts of all five (5) questions - Show all work a Two [22 hour time limit V R S PROBLEM 1 [20 Qoints) The circuit shown is to function as a constant current source. Assume that the op-amp is ideal. a) (10 points) Determine the value of IL. - b) (10 points) Determine the largest value of RL that may be used. Answer: IL: L“ 3:5}16k, RL: K 5L J. v -l HWK iZc -u \?Livik I _____________——-—- all; r. _ v0 XL, KkalCHL :53JWWv “My; a iZLJr‘iqLL. it ,C -:_ 7’ .131 \“M‘I \ > HTML. Kg”: (5)9MQ‘Q’AK5CILIKH. Page 1 EEL 3111C Test 2 — March 17, 2010 Closed note, closed book — One ( 1) 3 by 5 index card allowed —_____. —_—_. Period 2 or 4 Last Name First Name circle one - Answer all parts of all five {5) questions - Show all work o Two (2] hour time limit R S t o PROBLEM 1 [20 goints) The circuit shown is to function as a constant current source. Assume that the op-amp is ideal. a) (10 points) Determine the value of IL. b) (10 points) Determine the largest value of RL that may be used. Batw—L w” Answer: lL= Ulv'him A, RL= 47 k9 ’> iq'ltc ’ ‘J‘ 531;: Vu\w+/ C) \k 2 .47? -- C: 95‘ :th :1 fiL’W—tih IC’ Test 2 Page 1 EEL 3111C Test 2 — March 17, 2010 Closed note, closed book — One ( 1) 3 by 5 index card allowed __——_. __—___. Period 2 or 4 Last Name First Name circle one 0 Answer all parts of all five (5) questions 0 Show all work - Two [21 hour time limit V o C PROBLEM 1 (20 gointsl The circuit shown is to function as a constant current source. Assume that the op-amp is ideal. a) (10 points) Determine the value of IL. b) (10 points) Determine the largest value of RL that may be used. g‘viJ— L o Answer: IL: VHS w.“ A, RL= 47 k9 Test 2 page 1 EEL 3111C Test 2 — March 17, 2010 Closed note, closed book - One ( 1) 3 by 5 index card allowed __—_____. _—_. Period 2 or 4 Last Name First Name circle one - Answer all parts of all five (5) questions - Show all work 0 Two (2] hour time limit V R D PROBLEM1 20 oints The circuit shown is to function as a constant current source. Assume that the op-amp is ideal. a) (10 points) Determine the value of IL. b) (10 points) Determine the largest value of RL that may be used. 8.0 1-»?- in Answer: If on" w; ’3‘, RL= 47 k9 Test 2 Page 1 Name: PROBLEM 2 [20 goints) The op—amp shown in the circuit is ideal. If the signal voltages are va = 0.2 V and 17,, = 0.5 V, calculate: a) The output voltage 120 (10 points) b) The currents in, lb. and lb (10 points) Answers: v0 = é \/ . la =’-l§’kU-. ib lb {—031 l4k§2 Test 2 Name: PROBLEM 2 120 goints) The op-amp shown in the circuit is ideal. If the signal voltages are va = 0.2 V and vb = 0.1 V, calculate: a) The output voltage 170 (10 points) b) The currents ta, Eb, and Eb (10 points) JV VILJ‘LLW O . . A. Answersnzo= ,Lv/,ia=/‘J-:H,tb= .15: c, lle Ti: Vat—Vltg_/Lk:,,kg Vb 2W,er Page 2 Name: PROBLEM 2 [20 gointsl The op-amp shown in the circuit is ideal. If the signal voltages are 17a 2 0.5 V and vb = 0.25 V. calculate: a) The output voltage 120 (10 points) 13) The currents in. lb, and lb (10 points) . ' _ r H Answers: v0 = 9“! , ia= H ',‘ -’+onflrf = L.) lb- Test 2 page 2 Name:___________ PROBLEM 2 [20 gointsl The op-amp shown in the circuit is ideal. If the signal voltages are 12a = 1.0 V and vb = 0.5 V, calculate: a) The output voltage v0 (10 points) b) The currents in, ib, and ib (10 points) " 1 fl 6"— 7 Answers: v0 = by .1}! =20-‘1Wfib5 abut. ifl=_L C SkQ Page 2 Name: PROBLEM 3 120 Qointsl The rectangular shaped current pulse is applied to a 0.4 Farad capacitor. The initial voltage on the capacitor is 7 V in the reference direction of the current. a) (10 points) Determine the voltage across the capacitor at time t= 40 seconds. in) (10 points) Determine the energy stored by the capacitor at time t = 40 seconds. Remember to include units. Answers: 125(40): 1353‘" , WC(4O)= Bilge It; 3 1' (amps) 20 I seconds _ 10 ( ) Io in t: - ' ' t l, __ i («Mi if ‘r a ’t ’c Arc: ILL'UrI'C +Nch’) C: S OH ; (L 7 [0 Test 2 Name: PROBLEM 3 [20 points! The rectangular shaped current pulse is applied to a 0.2 Farad capacitor. The initial voltage on the capacitor is 5 V in the reference direction of the current. a) (10 points) Determine the voltage across the capacitor at time t = 20 seconds. b) (10 points) Determine the energy stored by the capacitor at time t= 20 seconds. Remember to include units. Answers: 125(20): 3151/ , wC(20)= 35—51% :3 1' (amps) 20 r Seconds _ 10 ( ) tic 2U _- .1, ' , i— l" t i 3’ N’DQ* 0‘), (“-914 * O‘Ll DAL IQ) _. {ylzo L,— : gL,ioL)\U 4 59° ,u 5 Test 2 Page 3 Name: PROBLEM 3 120 points) The rectangular shaped current pulse is applied to a 0.3 Farad capacitor The initial voltage on the capacitor is 6 V in the reference direction of the current. a) (10 points) Determine the voltage across the capacitor at time t: 30 seconds. in) (10 points) Determine the energy stored by the capacitor at time t = 30 seconds. Remember to include units. / Answers: 175(30): Z“: {3 \f , wC(30) = l S] (if J 1' (amps) Test 2 Page 3 Name: PROBLEM 3 [20 Eointsl The rectangular shaped current pulse is applied to a 0.5 Farad capacitor. The initial voltage on the capacitor is 8 V in the reference direction of the current. a) (10 points) Determine the voltage across the capacitor at time t = 50 seconds. b) (10 points) Determine the energy stored by the capacitor at time t = 50 seconds. Remember to include units. Answers: 175(50) = V, wC(50) = S H13 1' (amps) 20 r (seconds) - 10 0")” 0-) Matt): FL (“’Q‘U' ij<20-SL—2o..io> lg/ Test 2 page 3 Name: PROBLEM 4 [20 points] At the time the switch is closed in the circuit shown the capacitors are charged as shown. a) (5 points) Find 170(t) for t 2 0 b) (10 points) Find 1210) for t 2 0 c) (5 points) Find the energy stored by the 15 Farad capacitor as t —» oo. — V120 Answers: v0(t) = 9‘5, e . Remember to include units. [ tum—c i Wm) C) ‘ ~k/éo[t_ " :- — l1- lYUch o 3 t3 __L/GD 7 WYHO'G Test 2 Page 4 Name: PROBLEM 4120 points] At the time the switch is closed in the circuit shown the capacitors are charged as shown. a) (5 points) Find vo(t) for t 2 0 b) (10 points) Find v10) for t 2 O c) (5 points) Find the energy stored by the 15 Farad capacitor as t —> 00. Remember to include units. , L/éo ’ r {/5 J Answers: v0(t) = 30 €— . v1(t)= —. W15F(°°)= Name: PROBLEM 4 [20 Eoints] At the time the switch is closed in the circuit shown the capacitors are charged as shown. a) (5 points) Find 1:00) for t 2 0 b) (10 points) Find v10) for t 2 0 c) (5 points) Find the energy stored by the 15 Farad capacitor as t —# 00. Rememberto include units t/{go + q 9: L/éo - 13* Answers: U003 =1 6 , 1710,"): , W15F(00)= j Test 2 Page 4 Name: PROBLEM 4 [20 20ints| At the time the switch is closed in the circuit shown the capacitors are charged as shown. a) (5 points) Find you) for t 2 0 b) (10 points) Find 1210:) for t 2 0 c) (5 points) Find the energy stored by the 15 Farad capacitor as t —> 00. _. ’5') Remember to include units. __ L/é o e ‘ , o r be - Answers: 1200:) = OJ 8 , V16): W15F(°°)= fl WWW Name: PROBLEM 5 120 points] For the circuit shown, both switches close simultaneously at t = 0. The inductor has an initial current iL(0‘) = to directed as shown. The inductor current will have the form: it Mr) =1f — (If — 11-)e‘? Determine the time constant 1'. (Remember to include units.) 141x ~-::<-.. T—K gram, Test 2 Page 5 Name: PROBLEM 5 [20 gointsl For the circuit shown, both switches close simultaneously at t = 0. The inductor has an initial current iL(0‘) = l0 directed as shown. The inductor current will have the form: t iL(t) =1), — (If — we? Determine the time constant 1'. (Remember to include units.) 141x Test 2 Page 5 Name: PROBLEM 5 [20 goints) For the circuit shown, both switches close simultaneously at t= 0. The inductor has an initial current iL(O’) = 10 directed as shown. The inductor current will have the form: it Mr) = If — (If — we? Determine the time constant I. (Remember to include units.) 141x Test 2 Page 5 Name: PROBLEM 5120 Eointsl For the circuit shown, both switches close simultaneously at t = 0. The inductor has an initial current iL(O’) = 10 directed as shown. The inductor current will have the form: t 1L0) = If — (If — [fie—r Determine the time constant I. (Remember to include units.) Z“ r i: ~ 90 r a u ,7, " -__—-r—-/— r {L 2 ‘ 5 ’ I have abided by the University Honor Code: Signature END OF EXAM EXAM GRADE: m Test 2 page 5 ...
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Ex2_f10_Solutions - A recent request from the Dean of...

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