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EECS 215 Exam 1 Winter 2007 solutions

EECS 215 Exam 1 Winter 2007 solutions - EECS 215 Winter...

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Unformatted text preview: EECS 215 Winter 2007 Midterm I Exam Name: iTtr/ Pin Solar—F1")? V (last, ﬁrst, middle initial) Lecture section {circle one): Maharbiz egg) Rules: 1. One 8.5x11” note sheet allowed. No other information aids allowed. A formulae sheet is provided on the back of this exam and can be removed if desired. No other pages should be removed. DO NOT UNSTAPLE THE PAGES OF THIS EXAM. TURN IN ALL PAGES EXCEPT THE FORMULAE SHEET. Calculators Needed and Allowed Work to be done in Exam booklet. DO NOT WRITE ON THE BACK OF PAGES. Erased or crossed-out work will not be graded. Exam given under CoE Honor Code Show your work and brieﬂy explain major steps to maximize partial credit. (ex: i3=i1+i2 , node A, KCL). NO CREDIT WILL BE GIVEN IF NO WORK IS SHOWN. 10. WRITE YOUR FINAL ANSWERS IN THE AREAS PROVIDED E" HQMPP p90 Sign the College of Engineering Honor Code Below (NO credit will be given for the exam without a signed pledge): I have neither given nor received aid on this examination. Signed: Do not write on this page below this line — Instructional Staff Use Only! Problem 1 Problem 2 Problem 3 Problem 4 TOTAL Problem 1: Eguivalent Resistance (20 pts) One part only For the circuit above, ﬁnd the equivalent resistance seen been terminals a & b. (Do not use Wye- Delta transforms.) Brieﬂy explain your approach. 7" be Jvr’lc wi'H’) Selfich “fﬂfqﬂt/ ’OLW KLJwCi'iDWJ woq’cl W’I/K iSQW/C{+ TN} Cc:an [(4%6 Wyt ‘pf ; A 1L4] fl/OWL‘J) ’50 :— WIH use, i Workspace for problem 1 «I / VI KCQ/l If KCLB { #L ﬂ“ \/ ® VIE HES“ ZKn/J’Liwnl J’ VLE' 21(an 4’ 9i (k L _. +Vbr£ﬂZKJV ’0 r L, J. @ \/ L—Z’T 1*VLULE/ﬁ smﬁ’wm l (V [’J’ :0 Jr vgrxm] +vn, gm ' 1 7W [fixfﬁJL/k @ V [’T‘?»1+VZ[’7KW 3 l I V 1:0 JrVLH: Wm Jr V V L- (firm ‘L V E” SK» 3 F V / (3+ L ' J. 3 ® I [ ZK/L Vb! [ﬁbys—ilgwrk LRJ—QKJLL: O Workspace for problem 1 Salvmj H76 Ltwbn) Limh'pV’? frail/cm cwch y‘k/‘(j V 2: (gowolooo ’ 1??? )IT Problem 2: Nodal Analysis (30 pts) Parts a & b For the circuit on the following page, a) There are 7 unknowns (V1,V2,V3, V4, V5,vu,i,,). Write the 7 independent linear equations needed to ﬁnd these variables using the NODAL analysis approach. For each equation, identify the major physical reason or reasons for each (i.e. KCL, KVL, Ohm’s Law, etc.). Note: Use of nodal analysis is required! No credit will be given for attempts to use mesh analysis procedures. (25 pts) 5) :ﬁﬁvl+vﬁvw5:o] o__£L:jEﬁiié£§£j:Z 7) WWW Hl/g-Vﬂ/ZIOJL :60/1L H'CL ‘5,” V r X}; ‘ Vt, ~I'5m/_, "‘thuat w ﬁngeéﬁﬂ ,2 Circuit for problem 2 ,,,, .» Th5 fable/n A4; V1 V7. [03+ LSD-r K VL (anyhow; V—S7L/I/C,€J e457 V :L/ﬁ C’V‘J’Pf‘l’m)’ 7' , +TCLL gr;14ffpfyi;~ (#0 C761: [Jb r [ﬁn/+53; V2—"'V?+ 1% = (“9—sz044 V; :‘ 7 ZS J96) Mme: L7 I gui‘wr’ A/IJC’. WSW + YiZYi .: gm 2 0 JV 2“. C ~51- ISm/ b) Solve your equations from (a) for (VPVZ, V3,V4,V5,va,ib (5 pts) :_ wasv + bay/5 4. VL/ﬁ WZJV «Law!va in ’ f. :17 “VI +O.H§VZ “V5 =‘52'Sl/ \ L+B v («D *Vzﬁll)‘ = +ZOOV < |» +596} V‘V‘lbf) + “(£0 J‘Vg H): O “ .03.»; \/,(o.1¢\+\/ (0 (7% m 50 “3' D is c ﬂaw 1!"qu f“? w; [Alf/#4205 (WW; V‘U 3133/ (JIM/141% V7» “\$‘(l/IJ 3:”! 9 ‘ cfe H’ Mi Hiy #7/0 workspace for 2(b) ‘vl UL VH v5 1 ms 0 'I v, 'QZ'5V _| I o 0 V2 :+200 V _} M, 0 7 o H’ ' 0,I 0,04 0,05 0 VS 75 AL «I Sa‘u;nj 7;C(JS +w< 1 +W30V , Vt «#U V2; +lé30V V -pr‘HV Lt- VS 3 +2215V I?! (“LU/m kick "ﬂak; (A) y /; 10 Problem 3: Thevenin E uivalents (25 pts) Parts a & b (59m, 60A Workspace for 3(a) WHO/1 on/hJ V3 :[SOV/ VI 5 \/¢ ’200 \/ (I) r V :3 VS 1‘ fb>ub S 5b 1 H75 A Hooh'm/ 00%") % (0055'qu +3, :75,» Q) VA H) “Va-z L’VL ' V Lt ’5 L}. aﬂkﬂ‘wn5 (UL71/q) 5-} LL" / —-7- 0V 6 ‘f' (gum/k V‘Jucigan Vt «L, \4 “J”? v wmsv Lam (a) S " \/ If.» ‘1/ M1 :‘l’H/L‘FVS ’ -/ \$0 (3) 77 1M? 34mm 7 V H: HéJL 3) Km / ’5 c 4 \i yr/AE e Cir/{CWMN/ C‘ )1 IV) 12 W cm qls Jo H" W’U’l H" ﬁsF ﬁow/cc b 1 .9 A SaWrCeﬁ Workspace for 3(a) x/JVI V7 30 / \/ w < If: v, a. [:5 1 VI [ V5 ‘vl : V5 " z 6 I) H in 2 F Cb:(0,o¢)\/, C0137 {~3ch "’4 £( 1‘. ,a V ZjS—n,‘ Lara V5 #VI I IL) I ‘/ 0.96% - LtSVI V5 ’ l' -‘ — \/ , abtv J 255 ‘ 5 VF \i‘gW :{0 11795”: :‘(+é,1sx/53£'>Vr 1T1 (0.ng ‘ : Vl/ITf' jig-52’ 13 b) If a load resistor RL is connected between a & b, what is the maximum power that can be delivered by the circuit to the load and what is the value of RL? (5 pts). l4 Problem 4: Opamps (25 pts) One part only For the circuit shown below, find the output voltage V0. Assume that the op-amps are ideal. 15 Workspace for problem 4 Nah] “4’795 VF’HV (HM “FNMA Meal OT‘WV’) vs V? HCL 44* ,V , _. Y271+ V7214; ~0 (/4) Sff 1" “L (D 169/}; “M L/ w ML? Lf’,.7_K)’L é‘fﬁ/ @Va HM + M 16 ...
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