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UNIVERSITY OF CALIFORNIA AT BERKELEY
EECS Department
Page 1 of 7
EECS 40/42/100, Spring 2007
Prof. ChangHasnain
Homework #7
Due at 6 pm in 240 Cory on Wednesday, 03/14/07
Total Points: 100
•
Put (1) your name and (2)
discussion
section number
on your homework.
•
You need to put down all the derivation steps to obtain full credits of the problems.
Numerical answers alone will at best receive low percentage partial credits.
•
No late submission will be accepted expect those with prior approval from Prof.
ChangHasnain.
1. Hambley, P6.55 [8 Points]
This is a firstorder highpass filter analyzed in Section 6.5.
The transfer function is
)
/
(
1
)
/
(
)
(
B
B
in
out
f
f
j
f
f
j
V
V
f
H
+
=
=
[2 Points]
where
kHz
RC
f
B
183
.
3
2
1
=
=
!
[2 Points]
The Bode plots are shown in Figure 6.21 at Page 280 in the textbook.
[4 points]
2. Hambley, P6.58 [8 Points]
To attenuate the 60Hz component by 40 dB, the break frequency must be two
decades higher than 60 Hz
because the rolloff slope is 20dB/decade.
[2 Points]
Thus the break frequency must be
kHz
f
B
6
=
.
[2 Points]
The 600Hz component is attenuated by 20 dB
.
[2 Points]
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EECS Department
Page 2 of 7
Since
RC
f
B
!
2
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This homework help was uploaded on 04/02/2008 for the course EE 40 taught by Professor Changhasnain during the Spring '07 term at University of California, Berkeley.
 Spring '07
 ChangHasnain

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