Class: BE209
Group: W5
Members: CHEN, ALICIA Y;KEENAN, KATHRYN E; MERCHANT, MAEESHA; SIEMS,
ASHLEY L; WALKER, JUSTIN A
Date: December, 2002
INTRODUCTION
Electronic devices and circuits are subject to measurement interference
from outside sources due to noise. High pass filters combine capacitors
and resistors in series to allow frequencies above a certain limit to pass
through the circuit, attenuating frequencies that are lower than this defined
limit. Low pass filters switch the order of resistors and capacitors
and work in a reverse manner, attenuating frequencies of high magnitude
and passing frequencies of low magnitude. Combinations of low and
high pass filters can create band stop and band pass filters. Band
stop filters, also known as Notch filters, attenuate for a specific frequency
or range of frequencies. Wave traps are special types of band stop
filters which attenuate a specific frequency instead of a range, and prevent
noise originating from external sources from interfering with data collection.
(1)
The Wien Bridge circuit consists of two filter networks: a low pass
filter and a high pass filter connected in series and grounded. The two
filter networks overlap at a single frequency that is attenuated. (This
single frequency will be amplified and fed back via positive feedback to
cause oscillation using an LM741 chip.) The frequency of oscillation is
attenuated to one third of its normal operating voltage by the filter networks.
The R6 resistor (see Figure 3) returns frequency to oscillating level by
increasing the gain by at least a factor of 3. (2)
The Twin Tee is also a notch filter, but differs from the Wien Bridge
in its design: a tee network is a two port network whose configuration
is shaped in a letter T. (3) Also, the Twin Tee makes use of a voltage
follower, a special case of a non-inverting amplifier that isolates a voltage
source from the application; thus, Vin = Vout. The voltage follower
also isolates the signal source from the output; therefore, additional
circuits can be connected to the Twin Tee without affecting the voltage
inputs and outputs.
These circuits can be customized to the measured noise by selecting
the values of the resistors and capacitors in the circuit. Both the
Twin Tee and the Wien Bridge function with a cut off frequency as follows
(4):
f =1/(2?RC) Equation 1
After attenuating the frequency of the lights, the values of resistors
and capacitors will be varied to view effects of these changes.
While the Wien Bridge and Twin Tee differ in design standards, both
circuits require the use of the LM741 operational amplifier (op-amp) chip
in a non-inverting configuration. The op-amp chip is an ideal voltage
amplifier of high gain that translates to infinite input impedance and
zero output impedance. Hence, the voltage between the (-) and (+)
input terminals goes to zero. The op-amp chip is the active element
that allows for both circuits to function as an oscillator. (5) Because
of the use of the operational amplifier chip in both circuits, it is expected
that there will be no difference between attenuating efficiency of the
Twin Tee and the Wien Bridge filters:
D0: µWien bridge
- µTwin tee=0
Using two filters allows us to compare designs and to test if frequencies
are better attenuated using more than one filter.