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EECS 215 Exam 2 Winter 2005 solutions

EECS 215 Exam 2 Winter 2005 solutions - EECS 215 Winter...

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Unformatted text preview: EECS 215 Winter 2(305 Midterm 2 Ffe A 7: {/ Lecture Section circle one : Name: Rules: 1. One (1) 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 fiFORMULAE SHEET. . Calculators 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). N0 CREDIT WILL BE GIVEN IF NO WORK IS SHOWN. 10. WRITE YOUR FINAL ANSWERS IN‘THE AREAS PROVIDED N koooqpx‘mlzpw This Exam Contains 4 problems over 15 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 — Instruct onal Staff Use Only! I rflk [ ] PTOb 1 [ ] Prob 3 [ ]Prob2 ‘[ ]Prob4 Problem 1:0 -Am s 15 oint total For the circuit shown below, find V0 and Io. You may assume ideal opamps under negative feedback conditions. negative feedback conditions. Problem 1:0 —Am 5 15 oint total For the circuit shown below, find V0 and I0. You ay assume ideal opamps under additional workspace for problem 1 Problem 2: First Order Circuitgi 125 points} For the circuit shown below, note that the independent current source is (18mA)u(t) and the switch is toggled at t= 2ms. Problem 2 has part (a) and part (b). ZOKQ a) Find Vc(t) for t=0 to 2ms. Additional workspace for 2(a) b) Find Vc(t) for t32ms (\‘U quqcfhr 966 ‘ 4 Cl/FCqH wH’h n0 MquJM’L got/Irfci‘i #‘OI/l'y yzltHS 4n thJ'W/wfll’ rfS)IS7L4’7C‘e_ additional workspace for 2(b) a) For the circuit picture above, find the differential equation that relates iL(t) to ié(t). ‘ 2 . . . . . 1 d Write the equation in one of the standard forms: (:1; + A :11 + Bz‘L = functionag) or a t dzz‘Ldz‘L. D + F — + 1L = functzon(zg). 1L must be lithe only unknown (assuming 1g(t) l$ alt2 dt l known). You may use KVL/KCL/time domai ‘ methods or s-domain methods, but you must clearly show your work to receive fuI l or partial credit. Warning: Attempts to mix time-domain and s-domaz'n approaches lare likely to result in zero credit. Differential Equation: Workspace for 3(a) Workspace for 3(a) S _ AWN!!!” Qn’r‘mcln flath‘ o (TCL 4+ 057 Me ' :3— V “/6": Va Vc; L C L. +______ 3. f K] VC5 LSTKZ W I.) 10 t b) Assume that the source had the following behéivior: ig (t) = id + ibu(t) , where id & z'b are constants. Find expressions for iL(t) & VLQ) for t=0‘,0+, and t-) oq additional workspace for 3(b) ‘ mummfimmmmmlw'IJl-flmw Problem 4: Second Order Circ$g its 125 points) Using the same circuit as problem 3, assume we l$ave the following component values: R =1ooos2 R :59 A: 996$2 L: lmH C: 1211? ' with these values, the different$al equation becomes. $1x10_652)d22, ’ (Ex-10_3S)$fl+iL= $1 x1031 9 dt2 3 $ dt 9 or equivalen$lyz dt;+(6x103s")‘:—t£+ (9x106$y‘2)iL= (1x109s‘2)i where 5 here is the abbreviatio$1 for the unit seconds dzi lg a) Find the natural (source- free/homogeneou$3) solution for this case and name the damping type. ‘ Damping type (circle only one) l3 b) Assume ig(o+)=[9+81u(t)]mA, iL(0+)%1A,and ii: =0. Find the complete 5 0+ solution (with no unknowns) for iL(t). 14 ...
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