Equipment:
You must make up a complete equipment list and have your instructor review it before you start.

Components:
You must make up a complete equipment list and have your instructor review it before you start.

References:
Your ECE11 textbook section 12.4 page 627.

Objectives:

• Specify the type of equipment and component values that you will need in order to accomplish this experiment.
• Find the frequency response of a series resonance circuit.
• Find the frequency response of a parallel resonance circuit.
• Plot the magnitude and phase response of a series resonance circuit.
• Plot the magnitude and phase response of a parallel resonance circuit.
• Design, Build and test a filter.

Use the following specifications on Figure #1 and :
C1 820 pF
R1 3300 Ohm
L1 4700 uH
Vs 1.0 Vp

                                      Figure #1

1. Establish the general equation for Vout in phasor form.  Find the Amplitude and Phase Difference for Vout in term of Vs, R1, L1 and C1.  Assume Vs = 1 /_ 0 (reference voltage).  Call it "Equation #1".
2. Find both cutoff frequencies (wC1 and wC2), Bandwidth (B), center frequency (wo) and Quality factor (Q).
3. Use MSExcel to generate data to find the Amplitude and Phase Difference of Equation #1 for frequency starting at 10 Hz to 10 MHz with a linear increment of 1000.  Label the Data Table "Data Table #1".
4. Plot the graph of Amplitude vs. frequency.  Label the graph "Graph #1A: Amplitude vs frequency for series resonance circuit".
5. Plot the graph of Phase Difference vs. frequency.  Label the graph "Graph #1B: Phase Difference vs frequency for series resonance circuit".

2. - Series Resonance Circuit - Verification
 

1. Construct the circuit of  Figure #1.
2. Measure Vout (Magnitude and Phase) for different frequencies.  Start at frequency = 10 Hz to 10 MHz.
3. Plot Magnitude vs Frequency using data collected.  Label it "Graph #2A - Magnitude of Vout vs Frequency".
4. Find both cutoff frequencies (wC1 and wC2), Bandwidth (B), center frequency (w0) and Quality factor (Q).
5. Plot Phase Difference vs Frequency using data collected.  Label it "Graph #2B - Phase Difference of Vout vs Frequency"

3. - (PreLab) Parallel Resonance Circuit Analysis

Use the following specifications on Figure #2 and :
C1 820 pF
R1 3300 Ohm
L1 4700 uH
Vs 1.0 Vp

                                          Figure #2

1. Establish the general equation for Vout in phasor form.  Find the Amplitude and Phase Difference for Vout in term of Vs, R1,L1 and C1.  Assume Vs = 1 /_ 0 (reference voltage).  Call it "Equation #3".
2. Find both cutoff frequencies (wC1 and wC2), Bandwidth (B), center frequency (wo) and Quality factor (Q).
3. Use MSExcel to generate data to find the Amplitude and Phase Difference of Equation #3 for frequency starting at 10 Hz to 10 MHz with a linear  increment of 1000.  Label the Data Table "Data Table #3".
4. Plot the graph of Amplitude vs. frequency.  Label the graph "Graph #3A: Amplitude vs frequency for parallel resonance circuit".
5. Plot the graph of Phase Difference vs. frequency.  Label the graph "Graph #3B: Phase Difference vs frequency for parallel resonance circuit".

4. - Parallel Resonance Circuit - Verification

1. Construct the circuit of  Figure #2.
2. Measure Vout (Magnitude and Phase) for different frequencies.  Start at frequency = 10 Hz to 10 MHz.
3. Plot Magnitude vs Frequency using data collected.  Label it "Graph #4A - Magnitude of Vout vs Frequency".
4. Find both cutoff frequencies (wC1 and wC2), Bandwidth (B), center frequency (wo) and Quality factor (Q).
5. Plot Phase Difference vs Frequency using data collected.  Label it "Graph #4B - Phase Difference of parallel resonance circuit vs Frequency"

5. - Design of Band Pass Filter

Design and simulate using ORCAD a band pass filter that meets the following specifications.  Show a detail steps of your design.

Band Pass Filter Specifications

Applied Voltage: 1 Vrms
Quality Factor: 1
Bandwidth: 15 kHz
All tolerances are 5%.
Build, test and demonstrate this circuit to your instructor.

6.  Conclusions

1. Hum noise is a common phenomena in electronics device especially hifi equipment.  The noise is coming from the wall (110 Vac_rms @ 60 Hz).  Using the materials you had learn so far, how do you propose to solve this problem?