Date Assigned: Wednesday, November 27, 2002 Date Due: Monday, December 9, 2002
Reading:
In the Nilsson/Riedel text, please continue to study Chapter 9,
sections 9.1-9.9 and 9.12.
Final Exam:
The final exam for both sections of ELEC 225 is scheduled for
Monday, December 16, at 8:00 AM
in Coleman 150 and 151.
The exam will be cumulative and it will be open-book and open-notes.
Please solve the following problems
and submit solutions on December 9:
Chapter 9: Problems 32, 37, 43, 44, 52, 57, 72.
(Problem 9.43 was solved in class, so you do not have to submit a solution.)
Draw a circuit with a
sinusoidal voltage source v_{s}(t) = 1 cos( w t) (V),
a resistor (R), and a capacitor (C) in series.
Specify the output voltage v_{o}(t) so that the circuit will
be a high-pass filter in the sinusoidal steady state as
the radian frequency w of the source is varied.
Find the expression for the frequency response H( jw ).
Find the expression for the magnitude of the
frequency response, |H( jw )|.
Make a rough sketch of the amplitude gain |H( jw )|
versus w.
Find an expression for the cutoff frequency w_{c}
as a function of R and C.
Indicate the location of w_{c} on your sketch
in the previous item.
Specify values for R and C that will produce a cutoff frequency
of 1000 Hz.
(Note that w_{c} is in radians/sec, so you need to convert
to Hz!)