The George Washington University
School of Engineering and Applied Science
Department of Electrical and Computer Engineering
ECE 11 - Fall 2003

Experiment # 8

1st Order Steady State Bandlimiting and Phasors


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.
 

Objectives:

1. - (PreLab) Series RC Circuit Analysis

Use the following specifications for Figure #1 and
C1 820 pF
R1 3300 Ohm
Vs 1.0 Vp


                                    Figure #1
 

   1.  Establish general equation for Vout in phasor domain .  Find the Amplitude and Phase Difference for Vout in term of Vs,
        R1 and C1.  Assume Vs = 1 /_ 0 (reference voltage).  Label this "Equation #1"
   2.  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 logarithmic increment for frequency.  Label the Data Table "Data Table #1".
   3.  Plot the graph of Amplitude vs. frequency.  Label the graph "Graph #1A: Amplitude vs frequency for series RC
        circuit".  Find the -3dB  frequency.
   4.  Plot the graph of Phase Difference vs. frequency.  Label the graph "Graph #1B: Phase Difference vs frequency for
        series RC circuit".
 
 

2. - Series RC 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 (logarithmic
        increment).
   3.  Plot Magnitude vs Frequency using data collected.  Label it "Graph #2A - Magnitude of Vout vs Frequency".
        Find the -3dB  frequency
   4.  Plot Phase Difference vs Frequency using data collected.  Label it "Graph #2B - Phase Difference of Vout vs
        Frequency"

3. - (PreLab) Series RL Circuit Analysis

Use the following specifications for Figure #2 and :
L1 4700 uH
R1 3300 Ohm
Vs 1.0 Vp


                                        Figure #2

   1.  Establish general equation for Vout in phasor domain.  Find the Amplitude and Phase Difference for Vout in term of Vs,
        R1 and L1.  Assume Vs = 1 /_ 0 (reference voltage).  Label this "Equation #3"
   2.  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 logarithmic increment for frequency.  Label the Data Table "Data Table #3".
   3.  Plot the graph of Amplitude vs. frequency.  Label the graph "Graph #3A: Amplitude vs frequency for series RL
        circuit".  Find the -3dB  frequency.
   4.  Plot the graph of Phase Difference vs. frequency.  Label the graph "Graph #3B: Phase Difference vs frequency for
        series RL circuit".
 

4. - Series RL 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 (logarithmic
        increment).
   3.  Plot Magnitude vs Frequency using data collected.  Label it "Graph #4A - Magnitude of Vout vs Frequency"
        Find the -3dB  frequency.
   4.  Plot Phase Difference vs Frequency using data collected.  Label it "Graph #4B - Phase Difference of Vout vs
        Frequency"
 

5. - Design of High Pass Filter

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

High Pass Filter Specifications

Applied Voltage: 1 Vrms
-3dB Frequency point: 20 kHz
All tolerances are 5%.

Build, test and demonstrate this circuit to your instructor.

6. - Design of Low Pass Filter

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

Low Pass Filter Specifications

Applied Voltage: 1 Vrms
-3dB Frequency point: 500 Hz
All tolerances are 5%.

Build, test and demonstrate this circuit to your instructor.
 

7.  Conclusions
       Compare the calculated results to the measured results and explain any and all differences.

     
Modified to HTML format by Faisal Mohd Yasin, cepus@seas.gwu.edu, June 2001.
Modified by Yang Cao, ycao@gwu.edu, Sept. 2003