ELEC 320
Prof. Rich Kozick
Fall, 1997
Homework 2
Date Assigned: Friday, August 29, 1997
Date Due: Monday, September 1, 1997
Reading:
We will discuss Chapter 1 in the Kamen/Heck text next week.
Please read section 1.1, browse sections 1.2-1.4, and read section
1.5.
Problems:
Please work on the following problems for Monday.
- Consider the low-pass RC circuit filter that we discussed in
class, which is shown below.
[CIRCUIT DIAGRAM OMITTED IN HTML VERSION]
- What is the formula for the ``complex frequency response''
?
- What are the formulas for the magnitude
and the phase 
of the frequency response?
- For the values R=1.1
and C=0.22 
considered in class, produce rough sketches of
and versus 
.
What is the ``gain'' of the circuit at low frequencies?
- Use your formula for and the definition of
cutoff frequency
to derive an expression
for as a function of R and C.
This is the expression that is required in order to design
a filter (i.e., choose R and C) to achieve a specified
cutoff frequency.
- Please answer the same questions for the RC circuit shown below.
What type of filter is this circuit (low pass, high pass, or band
pass)?
[CIRCUIT DIAGRAM OMITTED IN HTML VERSION]