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Unformatted text preview: EECS 215 Fall 2006 Midterm I
Name; SOLUT/ONS (last, first, middle initial)
Lecture Section {circle one 2: Ter_ry _ Winful Rules:
One (1) 8.5xl 1” note sheet allowed. N 0 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.
Calculatbrs Needed and Allowed Work to be done in Exam booklet.
DO NOT WRITE ON THE BACK OF PAGES. 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). N 0 CREDIT WILL BE GIVEN IF N 0 WORK IS SHOWN.
I 0. WRITE YOUR FINAL ANSWERS IN THE AREAS PROVIDED NI—A 99°39??? This Exam Contains
4 problems over 12 pages (including workspace & formulae page). 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! [ ] PFOb 1 [ ] Prob 3 [ ] Prob 2 [ ] Prob 4 Problem 1: Power 120 Hts; An analysis of the above circuit reveals that in = —O.5A and ib = —”A . Calculate the
power dissipated by each element and show that power is conserved. P lOVsource=
P Zohm =
P 4ohm= Pdependent Vsource= 1)12Vsourcez P 0.5Asource: P =
All Elements Workspace for Problem 1 B44 KCL at node A, I)
L)
21> 3,3 KCL orb node 5/ i2 :o5+ L, 8;!4KCL a4: 'nodeCj L3 +1.1 :12 471,322.59 KVLX vJ30 =12v "(4131av = M—v ’13 = (ohmSA: 35w loV—Source le—Q 3’2““ I72% SOMCQ ''‘ P ..,. W
oSﬁ—Saunra. s «a‘Sx ‘4 " 7 Problem 2: Nodal Anal sis 30 ts For the circuit above:
a) Write the 4 necessary equations to find the node voltage V1,V2,V3,V4. No other
unknowns should appear in your equations. Indicate whether or not the equation
is an expression of KCL or KVL. (25 pts) 1) [5% +5V; “3V3 +V;=O i [email protected] 2) V +5\/ —— 4V3 : 4" [email protected] 3) V—V; + 2V4 =0 orKCL 4) V1 _‘ V = W; 01' KCL Workspace for 2(a) ‘3’»ij
*4 +v2 + ““5 +352. +‘—’4+—+‘i:V—'=‘=°
It? 542 2k 4k 4k 4K [‘ o
‘”i V—i— +WEL=
l l V[—~+" + k1+ '3 2k 4k
—.+~—~ + a. k 4
Vr[k 4k] 3" ‘ a a Vb :1
KCL ant Mode 3 L34“ L6 +4'E 4 v _v \1 (V —S) :0
2 3 + v A13 +___2_  a _
2k 4K 4K 4k \«gA wagk +41] ww—— v.3: {+3V2‘4V :2 5 Additional workspace for 2(a). “x {\Va:\/4: ~~_——' ' ‘ KVL ‘l vL
JndePenclen’r Sou/1:2 Con—$101141? K b) Solve your equations to find the node voltages (5 pts) From E%.(‘H V4 : V? + 2 Subsﬁhxﬁhg ih 15% (3); VI _ V2 : "2(V2+2) VI 2:: 4)?! " 4 Suks+i+uﬁng¥<m vl in 753(1), ——(q):1+£}) + 3V2. A 41)} : O 2% —~ 415 2.14 m Subsﬁiub‘ng 19m v, amt «r4 LM 9.25.0), ‘5(“’;+4)+5»V2 ‘3V3 + V2+2 = O QXCB): 2V2 6V3 :. 36
._(A) . na'ZVz +4V3 ::+14 Pro! :T ' oon iv t S :1 b) Carefully draw the Thevenin & Norton equivalent circuits seen between a and
b. Assume that we have already solved the nodal analysis problem illustrated
below and found that: . ‘ Va = +1.68V Vb = +2.88V Be sure to indicate which terminal is “a” and which is “1)”. Be careﬁil to
indicate signs correctly You must give values for all the quantities required
to specify the Thevenin and Norton equivalent circuits. (9 pts) , + VD . . 10 Problem 4: Ideal Ogamps [25 ptsl Find the output voltage v0 in terms of the input voltage v.y . Assume that the opamps are
ideal. m mzﬂépm: E 20:)qu BU ”THO3e. rif'lricgm at: +92 bwfqiwﬁl VIE: m0
«)5 :1 3.351); Suhst—i’rub’ma in aka)! é”? .= _% 11; 5.901—115
3 a '7’?— 11 ...
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