EE202
HOMEWORK PROBLEMS (SET 4)
SPRING 10
Q
UOTES FOR YOUR
P
ARENT
'
S
P
ARTIES
:
Henry Kissinger (1923  )
Realism...has no more to do with reality than anything else.
Ninety percent of the politicians give the other ten percent a bad reputation.
Pablo Picasso (1881  1973)
Reality is that which, when you stop believing in it, doesn't go away.
Lily Tomlin (1939  )
Reality is something you rise above.
Hawkin's Theory of Progress
: Progress does not consist of replacing a theory that is
wrong with one that is right.
It consists of replacing a theory that is wrong with one that is more
subtly wrong.
P
OEMS FOR THE LIBERAL PART OF YOUR EDUCATION
Part 1—Nerd Poetry
A dozen, a gross, and a score
Plus three times the square root of four
Divided by seven
Plus five times eleven
Is nine squared, not a bit more.
Integral tsquared dt
From one to the cube root of three
Times the cosine
Of three pi over nine
Is the log of the cube root of e.
Part 2—Famous Poetry
THERE IS NO FRIGATE LIKE A BOOK
There is no frigate like a book
To take us lands away
Nor any coursers like a page
Of Prancing poetry.
This traverse may the poorest take
Without oppress or toll;
How frugal is the chariot
That bears the human soul!
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Spring 09
2
Emily Dickinson (18301886)
THE RICH MAN
The rich man has his motorcar,
His country and his town estate.
He smokes a fiftycent cigar
And jeers at Fate.
He frivols through the livelong day,
He knows not Poverty her pinch.
His lot seems light, his heart seems gay,
He has a cinch.
Yet though my lamp burns low and dim,
Though I must slave for livelihood—
Think you that I would change with him?
You bet I would!
Franklin P. Adams (18821960)
HW
9
D
UE
F
RIDAY
F
EBRUARY
26
33
The circuit of the figure below is the Sallen and Key lowpass filter, which can be used to eliminate
unwanted highfrequency noise.
(a)
Show that the transfer function is
H s
( 29
=
V
out
V
in
=
K
R
1
R
2
C
1
C
2
s
2
+
1
R
1
C
1
+
1
R
2
C
1
+
1

K
R
2
C
2
s
+
1
R
1
R
2
C
1
C
2
where K = 1+R
B
/R
A
.
Hint:
you will need to write three node equations at the indicated nodes.
(b)
Now let C
1
= C
2
= 1 F,
R
1
=
R
2
=
R
A
= 1
Ω
and
R
B
= 0.8
Ω
.
These values represent a
normalized design.
Use MATLAB or equivalent to plot the magnitude and phase responses for 0
≤
ϖ
≤
5 rad/sec.
(c)
The normalized frequency point at which the normalized gain of the magnitude frequency
response of part (b) is
1
2
is to be scaled to a point equivalent to 600 Hz.
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 Spring '06
 RLC, LC circuit, Bω, Rsource, R R C C

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