EECS 215 Exam 1 Fall 2006 Terry solutions

# EECS 215 Exam 1 Fall 2006 Terry solutions - EECS 215 Fall...

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Unformatted text preview: EECS 215 Fall 2006 Midterm I Name: real 0” (last, first, middle initial Lecture Section circle one 2 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 UN STAPLE 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. . Exam given under CoE Honor Code Show your work and brieﬂy explain major steps to maximize partial credit. (ex: i3=il+i2 , node A, KCL). NO CREDIT WILL BE GIVEN IF NO WORK IS SHOWN. 10. WRITE YOUR FINAL ANSWERS IN THE AREAS PROVIDED N PWNQMPW 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! [ ] Prob 1 [ ] Prob 3 [ ] Prob 2 [ ] Prob 4 Problem 1: Power 120 pts! An analysis of the above circuit reveals that in = —0.5A and ib = —2A. Calculate the power dissipated by each element and show that power is conserved. 1)20hm = P4ohm= Pdependent V-source= PlZV-source= P05 A-source= P: All Elements Workspace for Problem 1 49 id; ’05”! Problem 2: Nodal Analysis 130 pts! cross-over/no connection 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) VZ’V' : Z Vfl (::l)rKCL 0V “VI +V1. “ZVLI:O 2) V ‘V1 = 2- V KV rKCL 3) V' E" in?” V2, "i175; J’ “#»3 KVL o + V3 [Lil/hm? 4703,55; 7— (SV/VKJ.) 4) V #:3me 4' V1 ifwf'ZlKQf‘W?» [email protected] +V3 C-érm, Prime] + Vi bias] =0 Workspace for 2(a) I > (D vl—vr—zvq Wt WW7) :Zti V "/1le “Vb '— I/ “V V’VL/ X92... :0 H64 %+ %* 1w» W a 50 I J- 1}2+‘.25mﬂ .‘L— J‘Z’LK 4—21'41" ' 4» V3LW :45V/LIKY/ Additional workspace foi‘Z’gLMo—www .WW‘NMW ’4 WWW, 3K“ ,1 a 1/ cross—over/no connection b) Solve your equations to find the node voltages (5 pts) V o 1 “I 'o 2_ I ‘ I o l o -1 vZ : t22/qu V . 0 3 ~0.Ls,‘g was”; [W O izsms |,25m5 -a,75,.,; 0,2505 vhf Workspace for 2(a) Problem 3: Thevenin/Norton E uivalents 25 ts 6V Defy)! 12V Workspace for 3(a) 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 “b”. Be careful to indicate signs correctly. You must give values for all the quantities required to specify the Thevenin and Norton equivalent circuits. (9 pts) . + V0 12V 10 Problem 4: Ideal Opamps 125 pts! Find the output voltage V” in terms of the input voltage vs . Assume that the op-amps are ideal. ll Workspace for 4 ,12 ...
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EECS 215 Exam 1 Fall 2006 Terry solutions - EECS 215 Fall...

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