Ect246 week 6 ilab  Applied Sciences homework help
Lab 6 – Filters and Oscillators
By
Student’s Name
ECT246 Electronic Systems III with Lab
Professor’s Name
DeVry University Online
Date
Part AActive Filters
Week six addresses the concept of active filters and oscillators. The low, high, bandpass and notch active filters, their circuits, and operating parameters are covered. The Weinbridge RC oscillator, its configuration, operation and circuit is discussed.
TCO #6:
Given an application requiring active filters calculate, simulate and measure filter characteristic of a lowpass, highpass, bandpass, and notch filter.
A. Identify the gainversusfrequency response of basic filters.
a. Draw the frequency response of a lowpass, highpass, bandpass, and a notch filter. Label each axis, the critical frequency, bandwidth and the 3dB point.
Low High
Band Notch
b. What is the “order” of a filter? How is an order created?
B. Simulate the frequency response of an active lowpass filter such as a Butterworth filter.
a. Given the following circuit, calculate the critical frequency and the closedloop gain.
= _________ = _________
b. Download “ECT246_Week_6_Low1.ms” from Doc Sharing, week 6. Run the simulation. Use the Bode Plotter to find the 3dB point and determine the critical frequency.
= _________ @ 3 dB
c. Compare the calculated value to the simulated results.
C. Prototype the active singlepole lowpass filter and measure and sketch its frequency response, compare and contrast the simulated and measured results.
a. Prototype the active singlepole lowpass filter in the diagram above using a LM741 opamp.
b. Connect a frequency generator to the input of the filter. Set the frequency generator’s output to a sine wave at 100 mV peak and as close to 0 Hz as possible.
c. Connect channel 1 of an oscilloscope to the input and channel 2 to the output of the filter.
d. Vary the input frequency according to the chart below and record the input and output voltage in the table. Calculate the other values.
Frequency (Hz) 
Input Voltage (peak) 
Output Voltage (peak) 
Gain

Gain dB

1 




10 




100 




1k 




10k 




100k 




500k 









e. Using the Graph Paper.doc file located in Doc Sharing, week 6, plot the frequency response of the circuit.
f. Locate for the filter. Compare its value to the calculated and simulate results.
D. Simulate the frequency response of an active singlepole highpass filter such as a Butterworth filter.
a. Given the following circuit, calculate the critical frequency and the closedloop gain.
= _________ = _________
b. Download “ECT246_Week_6_High1.ms” from Doc Sharing, week 6. Run the simulation. Use the Bode Plotter to find the 3dB point and determine the critical frequency.
= _________ @ 3 dB
c. Compare the calculated value to the simulated results.
E. Prototype the active singlepole highpass filter. Measures and sketch its frequency response. Compare and contrast the simulated and measured results.
a. Prototype the active singlepole highpass filter in the diagram above using a LM741 opamp.
b. Connect a frequency generator to the input of the filter. Set the frequency generator’s output to a sine wave at 100 mV peak and as close to 0 Hz as possible.
c. Connect channel 1 of an oscilloscope to the input and channel 2 to the output of the filter.
d. Vary the input frequency according to the chart below and record the input and output voltage in the table. Calculate the other values.
Frequency (Hz) 
Input Voltage (peak) 
Output Voltage (peak) 
Gain

Gain dB

1 




10 




100 




1k 




10k 




100k 




500k 









e. Using the Graph Paper.doc file located in Doc Sharing, week 6, plot the frequency response of the circuit.
f. Locate for the filter. Compare its value to the calculated and simulate results.
F. The active twopole bandpass filter below consists of a lowpass and a highpass filter. Predict the critical frequencies.
a. Given the following circuit, calculate the critical frequencies and the closedloop gain.
= _________ = _________ = _________
b. Download ECT246_Week_6_Band1.ms, and run the simulation. Use the Bode Plotter to find the 3dB point and determine the critical frequencies.
= _________ @ 3 dB; = _________ @3dB
c. Compare the calculated value to the simulated results.
G. Prototype the active twopole bandpass filter consisting of a lowpass and a highpass filter and predict the critical frequencies. Compare the results with the simulated values.
a. Prototype the active singlepole bandpass filter in the diagram above using a LM741 opamp.
b. Connect a frequency generator to the input of the filter. Set the frequency generator’s output to a sine wave at 100 mV peak and as close to 0 Hz as possible.
c. Connect channel 1 of an oscilloscope to the input and channel 2 to the output of the filter.
d. Vary the input frequency according to the chart below and record the input and output voltage in the table. Calculate the other values.
Frequency (Hz) 
Input Voltage (peak) 
Output Voltage (peak) 
Gain

Gain dB

1 




10 




100 




1k 




10k 




100k 




500k 









e. Using the Graph Paper.doc file located in Doc Sharing, week 6, plot the frequency response of the circuit.
f. Determine, , and the bandwidth for the filter. Compare its value to the calculated and simulate results.
H. Explain the operation of a notch filter.
a. Explain the operation of a notch filter.
b. Draw the frequency response curve for a notch filter.
Part B Oscillators
TCO#7:
Given an oscillator application, such as a tone generator, determine the operating parameters and calculate and measure the oscillator’s voltage, frequency and relative stability.
A. Relate the principles of an oscillator using a block diagram and explain Barkhausen criteria.
a. Draw a block diagram of an oscillator.
b. Explain the relationship between feedback, phase shift and oscillation
c. What is Barkhausen criterion?
d. What three conditions must be met for oscillation to occur?
B. Calculate and analyze the operation of an oscillator using RC feedback, such as a Wienbridge oscillator.
a. Given the Wienbridge oscillator in the diagram below, calculate the resonant frequency. Assume = 0.
= ________
b. Determine the closedloop gain.
= _________
C. Simulate an RC feedback oscillator, such as a Wienbridge. Record the oscillation frequency and compare the results with the calculated values.
a. Download “ECT246_Week_6_Wien1.ms” from Doc Sharing, week 6. Run the simulation. Use the oscilloscope to determine the resonant frequency. Adjust if necessary to obtain oscillation.
= ________
b. Compare the calculated value to the simulated results.
D. Prototype the RC feedback oscillator, such as a Wienbridge. Measure the frequency of oscillation and compare the results with the calculated and simulated results.
a. Prototype the Wienbridge oscillator in the diagram above using a LM741 opamp.
b. Connect an oscilloscope to the output. Apply power and measure the resonant frequency. Adjust as necessary to obtain oscillation.
c. Compare the measured values to the calculated and simulated results.
d. Connect a speaker to the output and observe the results.
e. Substitute different values for and/or and observer the results.
Part CFilters and Oscillator Simulations
1. The circuit below is a twopole highpass Butterworth filter. The upper critical frequency should be 1.12kHz. Find the required value for R4 and the closed loop gain. Verify the circuit operation in Multisim. Make the necessary changes to the circuit and verify its operations. The Multisim file (ECT246_Week_6_Two_high_trouble.ms) can be found in Doc Sharing, week 7.
The R4 value should be _______; Acl = ___________
2. Given the following circuit. What is the frequency of oscillation? What is the closed loop gain? The Multisim circuit (ECT246_Week_6_Wien2.ms) can be found in Doc Sharing, week 6.
= __________
= __________
At what value of does the output begin to clip? __________
At what value of does oscillation stop? _________
1 56mV 320mV 5.71 15.1
10 64mV 320mV 5 14
100 112mV 1.28V 11.42 21.15
1k 112mV 1.28V 11.42 21.15
10k 160mV 1.20V 7.5 17.5
100k 3 9.54
After plotting the graph we need to go below 100 Hz and read the frequency that the gain is 8.1. This is f1
Then go above 1k until the gain is 8.1 and read that frequency. This is f2
This is semi log paper, note the bottom horizontal scale is frequency, and always gets 10 times larger on the next decade. There are no zeros on the graph. 10^0 = 1 so that is the first number, 10^1 = 10 so we jump from counting 1’s to counting 10’s, for example 1,2,3,4,5,6,7,8,9,10, 20,30 etc.
The vertical scale is gain in decibels and uses a linear scale.
The point plotted is a frequency of 10 hertz and a gain of 7 db.