

Exam 2  Operational Amplifier Filters
Examination two for the Linear Systems course tests the students understanding of the relationships between lumped
elements and operational amplifiers in filter design. All calculations and work must be shown for full credit.
This exam covers items such as filters, highpass and bandpass, bandwidth, gain stages, filter response, ripple
affects, and cascade operational amplifier stages.
Problem 2
In this problem students will be required to setup and implement a forthorder, bandpass filter
with the following performance specifications:
a. Chebyshev Bandpass Filter Response
b. 3dB Ripple width
c. Band Pass Gain (A_{BP}) = 4
d. Quiescent Value (Q) = 7.5
In your final design, show the schematic with all components labeled with the calculated values.
Also, answer the following question:
e. What is the rolloff on each side of the output frequency (fo) for this circuit?
Problem 3
In this section you are to setup a Wein Bridge Oscillator with an output frequency (fo) equal to 4.7kHz.
Set the values of the resistance and capacitance as necessary to produce the appropriate output response, and
draw the schematic with values. Also, answer the following:
Question: Is oscillation guaranteed with the exact calculated gain and allowing for component tolerance
error variation? Yes or No and why?
Solutions: Provided in the Exam Notes Calculations Section below.
Engineering key words: Q value, filter, band pass, band reject, low pass, high pass, ripple width,
oscillator, design principles, tolerances, gain, voltage, current, inductive, reactance, capacitive,
resistive, impedance, Chebyshev, Butterworth, center frequency, decade, circuit schematic, specifications,
spec, nthorder, computation, calculation, solution, answers, dB, filter design, passive components,
active components, operational amplifier, opamp, frequency, variables.
