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Unformatted text preview: EECS40 Spring 2004 Midterm Exam # 1
March 2, 2004 Time Allowed: 90 minutes Name: .,
Last First Student ID #:____ , Signature:____,_____.___ Discussion Section: This is a closedbook exam, except for use of one 8.5 x 11 inch sheet of your notes.
Show all your work to receive full or partial credit. Write your answers clearly in the spaces provided. Problem #: EE40_rm l_SD4.fm 0
0 Figure 1(a) a) (2 points)
In the circuit shown in Figure 1(a), the independent source values and resistances
are known. Given the indicated reference potential, list the unknown node poten tials in the circuit of Figure 1(a). V}, VQ EEdﬂwmt l_504.fm b) (8 points)
Write down a complete set of node equations sufficient to solve for the node poten—
tials you listed in part (a). Do not solve! Write your node equations in the box below. EE40_mtl_SOd.fm c) (2 points)
How many meshes would be required to solve the circuit of Figure 1(a) by the
mesh analysis method? (:1) (8 points) Figure 1(d) In the circuit of Figure 1 (d), the independent source values and resistances are
known. Use the node voltage method to write three equations sufficient to solve
for the node potentials Va, Vb, and V0. Write your equations in the box below. Do not solve! EEMLmt l_304.fm \! Figure 2(a) a) (10 points)
Determine the Thevenin equivalent circuit for the circuit in Figure 2(a).
Hint: superposition. Write your answer in the box at the bottom of the page. t VA
VII 2 V‘ ‘21: RFsz R}
P Jr ‘ {2 v5 R
'i i V’ V2 1 L L L 2 H2 L
‘2' P2 VI; 1 pl 1 We?!
1111121 WLT‘Vrfi/z fV3= I2. EE40_mt l _304 . fm b) ( 10 points) Network #1 W Figure 2(b) V: ﬁll/‘1 "1" V44”, Frown #iﬂvwc,
HIV/h [:1: o , V;er :5? V‘H‘lltzv Fhrn ptﬁm
when Cghvthn/Eo :> 42,=2KJ“‘ when 92:0 , u= W? W”“"’ when CHM, V120 => 12;: mm, was [mil ~2x/ E540_mll_504.fm Oneport Networks #1 and #2 are interconnected as shown in Figure 2(b). Each of the one—port networks in Figure 2(b) is characterized by its indicated vi graph.
Determine the Thevenin equivalent network and the Norton equivaient networks
for the oneport network shown in the figure by accessing the circuit at the tenni
nals labeled a and b. Write your answer in the box below. MA
\ V+L
:7
VHF Vawt er: 2V + (~W) = i \/ V+n 1V 1
= ———» : f“ 2 —~ A
I“ Ran aka. gh EEwrmtl _504.fm 3) VSS = Figure 3 The op—amp in Figure 3 is ideal. The figure shows a temperature sensor modeled as a temper—
aturecontrolled current source. This device senses absolute temperature TA in the (°K) Kelvin scale and delivers a current kTA, where k z 1 HAWK . a) (5 points)
Determine the output voltage as a function of temperature TA(°K) in terms of the
circuit parameters. A; 1+ H: unﬂah‘ue QLkbaok, We koala) VA :vh:\/P:o ( virtml short) I?“ :0 V {#me oPe/h) (NuHie KCL e‘pmst“m in» we» A; O—V 0"Vo
9‘ + E540,mt l_SD4.fm b) (5 points)
Determine values for R1 and R2 so that the output voltage sensitivity is 100 mV/°K and the output is zero volts at 300 °K . Write your answer in the box below.
cWo
————— 2 : \/
OFTA kRz WOW“ t2: [Why/K _ lwmvk o
2 " W T—
k JIM/K [ ﬂ‘
TA2300K I V0.20
v0: K227}, a Eévgg
=> 0: {Wm/K; i gmw _ if my
:2
[OVx EAT 3: gov
P;
P. “"3
a 3; (Watt
I2!— 5 2 “mg— 2 %3/<p_ EEAO_mt1_SO4.fm ...
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 Spring '07
 ChangHasnain
 Kelvin, Thévenin's theorem, independent source values

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