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Unformatted text preview: EECS 215 Winter 2004 Midterm 2 Name: F764 ﬂNZi , ' Lecture Section 6’.) i a 7L1‘9’75 1.
2.
3. wuewe Rules:
67:30 PM Monday, March 22, 2004 and 23:30 PM Monday
Closed Book, Closed Notes, etc. i
A formulae sheet is provided on the back of this exam and can be
removed if desired. No other pages should be removed.
Calculators Needed and Allowed
Work to be done 1n 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). NO CREDIT WILL BE GIVEN IF NO WORK IS SHOWN. 9. WRITE YOUR FINAL ANSWERS IN THE AREAS PROVIDED This Exam Contains 4 problems over 19 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! [
[ Prob l [ ] Prob 3 Prob 2 [ ] Prob 4 Problem 1: 0 Am s 20 oints total
Problem has parts a & b. You may draw directly on the circuits if you want,
but be sure to clearly explain your reasoning to qualify for partial credit. a) For the circuit below, what is v0? (10 points) 3m additional space for 1(a) if needed 2kg:  ~4kQ 3mA b) For the circuit below, What is v0? (10 points) 1k!) additional workspace for 1(b) if needed Problem 2: First Order Circuits (30 points total) Problem has only 1 part (all quantities in the box below) For the circuit below, ﬁnd the following quantities (box below). Show your work clearly. No credit will be given without clear suggorting work. Additional Workspace for problem 2 Workspace for problem 2 ~b//9445
VCR)”; 30 ‘7‘ /S& (/ Problem 3: Second Order Circuits 20 oints total Problem has only 1 part For the circuit picture above, ﬁnd the differential equation that relates Vc1(t) to ig(t). Write the equation in standard form  2
ddtVzc; +A d2] +BVci =function(ig). Vcl must be the only unknown (assuming ig(t) is kiown). You may use KVL/KCL/time domanin
1 methods or sdomain, but you must 0 arly show your work to receive full or partial credit. Warning: Attempts to mix timedomain and sdomain approaches are likely to result in zero credit.  Differential Equation: W Workspace for problem 3 additional Workspace for problem 3 11 Workspace for problem 3 mmax. . 7 ‘ . ‘I‘zyxnmx‘mmicsnmlminuﬁnxm‘mmmwulmW—u—HWmnmmm; r7:  additional workspace for problem 3 11 Problem 4: Second Order Circuits 30 'oints total
Problem has parts a, b, c, and d Now suppose we have the circuit above with the following component values:
R1=1KQ R2=5KQ A=0.7 Cl=1nF C2=5nF
and we will let z'g (t) = [3 mA]u(t) This results in a differential equation for this circuit (for t>0): 2
(2.5x10"”sz)d 1:“ dV“ +VC1 =3V
dt dt
where 3 denotes seconds, not the Laplace differential operator +(7.5x10‘6s) a) Find the quantities below. Show your work on the following 2 pages (5 pts) 12 Workspace for (a) > ‘
Rl =1K§2 R2 = 5K0 A = 0.7" CI =1nF C2 E: 5nF
ig (t) = [3 mA] u(t) 13 additional workspace for (a) if needed
R1=1KQ R2=5KQ A=0.7 C1=lnF C2=5nF
ig (r) = [3 mA]u(t) 14 b) Find Vc1(00), vc2(00), ic](o§, and ic2(oo+). (10 pt»s) 7 Workspace for (b)
R] =1KQ R2 25K!) A=0.7 C1 =1nF C2 =5nF
ig (t) = [3 mA]u(t) additional workspace for (b) if needed
R1=1KQ R2 =5KQ A=O.7 C1=1nF C2 =5nF
1g (t) = [3 mA]u(t) ' C2 16 c) Find the natural solution for Vol (with 2 and only 2 unknown coefﬁcients). (5
pm) ' — I;
Velma): W l 0(1/’5Xl054,"s I
.th 2 d 2 kn ff . ~ V ’
W1 an on un OWH COC lClCntS w4 ~ I 32 3 x ,0 4’ workspace for (c): 2d ; (Z’SX/a’l/d’
~7 at .1 nswosaf'
4:“ fﬁ? (7/755
OZ 4 Mo 2; Undew/QM 3? . f 7 ﬁg] .0“—
0 If) +32 5/?) (w 6
=% :. B C 5(Wd
l/oun (t) [1 1V; [”5wa V2
, 1,,»02?’ ’1: , ,
WA ’ [We 17 d) Match the initial conditions to the complete solution to ﬁnd the ﬁnal numerical
solution for Vc1(t) for this problem; (10 pts) workspace for ((1): Vol“) 1 3V 4' [IE/casw/Jf) +Ea§in€w€ﬂa
W13?) 1 '1 3V+13/ ‘3'? glaﬂgy .. ' 4’ 4: ' 18 ...
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