ELEC 225, Fall 2002
Prof. Rich Kozick

## Homework 13

Date Assigned: Wednesday, November 27, 2002
Date Due: Monday, December 9, 2002

1. Reading: In the Nilsson/Riedel text, please continue to study Chapter 9, sections 9.1-9.9 and 9.12.

2. 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.

3. 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.)

4. Draw a circuit with a sinusoidal voltage source vs(t) = 1 cos( w t) (V), a resistor (R), and a capacitor (C) in series. Specify the output voltage vo(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 wc as a function of R and C. Indicate the location of wc on your sketch in the previous item.
• Specify values for R and C that will produce a cutoff frequency of 1000 Hz.
(Note that wc is in radians/sec, so you need to convert to Hz!)

Thank you.