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Unformatted text preview: ECE 110
Professors Brunet and Haken February 13, 2006 HOUR EXAMINATION #1 Last Name (use capital letters):
First Name (use capital letters):
Signature: Circle your sectiOn: AL1(1pm)Brunet BL1(noon)Haken DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD — A. Write or print clearly. Answer each problem on the exam itself. If you
need extra paper, there is an extra sheet at the end of this exam. Clearly
identify the problem number on any additional pages. B. In order to receive partial or full credit, you must show all your work,
e.g., your solution process, the equation(s) that you use, the values of the
variables used in the equation(s), etc. You must also include the unit of
measurement in each answer. Students caught cheating on this exam will earn a grade of F for the
entire course. Other penalties may include suspension and/or dismissal
from the university. Problem 1 (10p0ints) For each situation below you must  draw and label the force F applied on each wire
(HINT: draw the magnetic ﬁeld B ﬁrst).
0 check the one most correct resulting initial motion. i) [5 pts.] (No partial credit will be given for checking one answer without drawing'F.) D The wire does not move. /
m
D The wire moves up. (Curd E E I: The wire moves left.
W J a MNone of the previous answers. ii) [5 pts.] (No partial credit will be given for checking one answer without drawing F.) D The rotor does not move. ‘ :l S D The rotor moves clockwise. [:1 The rotor moves counterclockwise.
A Problem 2 (20p0ints) 15 t (ms) i) [5 pts. ] Plot v(t) >< i(t). Clearly label all points. W) X W) t (ms) ii) [5 pts. ] Compute A1 = average (v(t) >< i(t)). Show work. (33XS+(71)><5%_[7_ A1= \Ft 00
lo . Compute VRMs, iRMs, and A2 = VRMS x iRMs. Show work.
V). 64" I ~—
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V‘Kh; 61MB ’rQ—XS _ ‘ \bxﬁ ﬁxgp ‘2). 6m = 35‘
3’ la ’ I). ' —— q
' k: iv) [4 pts.] Compare A1 and A2 (circle one) and give an explanation for the result obtained (i.e.,
the result was expected; Why?) MAI at A2 Explanation: At = QJJECC’gL ('VL > : PQMV‘QﬂQgQ Problem 3 (20 points) i1=—1A
i4=2A
10" i5=3A
v2=—4V
V3=3V i) [4 pts.] How many nodes in this circuit? 4 ii) [6 pts. ] How many independent KCL equations are there for this circuit? Write all the
independent KCL equations. 41:3indcf1 @105»
va+tt +ia :12 (it =23+i54 Ca 443: f5 iii) [6 pts. ] Write all the independent KVL equations. Use loops that involve the fewest number
of voltage drops. V2:\/1 Vi 3 V5 + V5.
iv) [4 pts. ] Solve for IX and V4. (Mac? Lie/=1) Ix:—i4f_/._§ (mind) LL) '1) V4 : Ioijtvgvya
: a 3 : 10 +3 (44) Problem 4 (10 points)
2 Q 6 Q 79 3Q SQ Find REQ between A and B. Show all of your work. ax?) f f A a 0 A 30 an E> 9 la b
r) o————I'\’V\/—e—————V\Af“‘ :7) oﬁ—‘Wyﬂ ’Y 7 (in (3%: k 2'1, new“ a.— t, m) 681%: Q : 9&H4S: X) ‘3 6M1 60 Rm: $3.: M35 Problem 5 (20p0ints) i) [5 pts. ] How many nodes does the circuit above contain? Label all of them Q the circuit. number of nodes: ii) [10 pts.] Use the voltage divider rule to compute the voltage Vm measured by the voltmeter.
You must ﬁrst draw below the portion of the circuit (i.e., a set of resistances only) that is used in
your computation to apply VDR. Label all nodes using the notations you set in part i). b IJL C 4—“— d‘ W Vbd=VBe+Ved=+a_6:L{ +v.— +Vm’ Vm: Vcd: i. M (me) A) Vm: ~‘5/5 volt:  iii) [5 ptS.] Deduce V1 using KVL (write the KVL equation ﬁrst).
Vl+Vm c Vdd (KVL. equatien ) V\Jqs=4
=) V! = —¢\‘é/5 V1 H
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PT“ Problem 6 (20 points) i) [10 pts.] Draw the IV characteristic for this circuit. i" “" ' "" “ 1 "if— ——:“f5—‘106' E’s ‘ __w“_.__~__ ,¢_W_ V (volts) —~7~—6——5~—4ﬂ~3~ —A 1:2——~3——4*5——6~— —> ” “‘ﬁmmfn‘ , —:5‘0" _ _h_:"ww:“:"" ii) [6 pts. ] Draw the lV characteristic for this circuit. a i + 32%: 30v 30 V 509 b iii) [4 pts.] Solve for (i, V) when the two circuits are connected at a and b. Use any method of
your choice, but you must show all your work or reasoning. 1009 . W‘Sgﬁﬁﬂgtl
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 Spring '08
 HAKEN
 Volt, Voltage divider, pts, The Circuit, Thévenin's theorem

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