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Electric Circuits
Exam 3
Spring 2008 Section (please circle one)
10-11 11-12
Problem
Pts.
No. Score
1 20pts
2 30pts
3 10pts
4 25pts
5 15pts
Total | 100pts
Please Note:
e Ail your answers must be placed in the spaces provided.
« You MUST show your work to receive any credit.
« Assume ALL sources are turned ON at t=0, unless noted otherwise.
¢ The Laplace transform of 10u(t) = 10/s.
Problem 1 (20pts)
a.) The switch is open for a long time before closing at t = 1ms in the circuit
shown below. Find Vou(s) for t = ims and sketch Vou(t) for t > 0. (LOpts)
4 2
AY. AW tf
TCLOSE = 0 4k 1uF
ry
tov tk = Vout
LS
/ (e) = [& 2
ol) = Te hha 2.
2 Sz fo
(s)- fe Vou(S) i xs
Sp
EO
Vout(t) Ve
time
Problem 2 (cont)
b.) Sketch the asymptotic Bode plot |H(ja)|as and MH(ja) for the circuit shown in
part (a). Please label your axes and critical values. (10pts)
‘SE
C4 (OK
ot ~I4
(He 0 ~ 06 Paar 7
X HG paige Neal |-06 ex (okt ~/g0")
d.) For an input Vin(t) = 1cos(1kt), what is the output voltage Vout)? (5pts)
[Giele? __s9 fee +
Vout (t) Zee (ie tt )
[
by 0, <65 | W £/0
OED rae az iy
c.) For an input Vin(t) = 1cos(500kt), #Ratisthe Sutput voltage Vantt?-Spts)
Problem 3 (10pts) aut )
j
4k ( |
or i at.
v\ ou W-
tur == g 3 pb wy *
a.) Sketch the magnitude (as a function of frequency) that would appear at the
two markers. Please identify any critical frequencies. (6pts)
Marker 1 x7 Marker 2 4 i
A
| We * o hd pele
wit (ot wor= [oo
b.) What is Vou(t) for Vin(t) = 1cos(wot), where wo is the resonant frequency?
Please justify your response. (4pts)
@ If + is woty FL i
xr Voor 70 o. s
dk
ae t Sy
Problem 4 (25pts)
a) Given the plots shown below, find ao, (Please note: the graph is in dB)
| HGe) | db
ee
5+
+088
Pi
Z HG®)ececse
-13e
apf: |
“if [Pie
‘Nb 1. The 100 2H ike 100K 1M
log 4S (rps)
ans rf
Lak ; Deutoff = (960 f°
4
Problem 5 (15pts)
a.) Find H(s) =
Vout(s)
Vin(s)
Name
for the circuit shown. (5pts)
100mH
“a 22h
(Ze
H(s)
6% Ss +l
tk
2ascsds
6 forest M0
Problem 5 (cont.) Name
b.) What Vour(t) would be produced if Vin(t) = 10cos(100,pst + 45°)? Justify your
response. (5pts)
4
< [6
ly Bs
A 5 ia 2 a Be
a tL i
le aed] = ait ‘ gly ct
Ko :
Volt) | 2. eos (100.4 +1249. 23)°)
c.) What kind of filter could this circuit represent? Please explain your response
in the space provided below. (5pts)
Filter Type we EF
