Devry ECET210 week 3 ilab
Laboratory Procedures
DeVry University
College of Engineering and Information Sciences
I. OBJECTIVES
1. To analyze a
parallel AC circuit containing a resistor (R), an inductor
(L), and a capacitor (C).
2.
To simulate
the RLC circuit and observe the circuit responses.
3. To build the RLC circuit and measure the circuit responses.
II. PARTS LIST
Equipment:
IBM PC or Compatible
Function Generator
DMM (Digital Multimeter)
Parts:
1 - 470 ? Resistor 1 - 1 µF Capacitor
1 - 47 mH Inductor
Software:
MultiSim 11
III. PROCEDURE
A. Theoretical Analysis
1. Given the R, L, & C parallel circuit in Figure 1, calculate the total equivalent admittance, YT, and the impedance, ZT, of the circuit at f = 550 Hz and 1 kHz. List the calculated values in Table 1.
Figure 1: Parallel R, C, L Circuit
Frequency Hz |
L & C Admittances in Rectangular Form |
|
Inductor GL - jBL |
Capacitor GC + jBC |
|
550 |
||
1000 |
Frequency Hz |
Total Circuit Admittance YT |
||
Rectangular Form GT + jBT |
Magnitude |
Angle |
|
550 |
|||
1000 |
Frequency Hz |
Total Circuit Impedance ZT |
||
Rectangular Form RT + jXT |
Magnitude |
Angle |
|
550 |
|||
1000 |
Table 1 – Calculated RLC Admittance and Impedance Values
2.
Calculate
and record the following quantities:
Frequency Hz |
IR (RMS). A |
IC (RMS), A |
IL (RMS). A |
|||
Magnitude |
Angle |
Magnitude |
Angle |
Magnitude |
Angle |
|
550 |
||||||
1000 |
Frequency Hz |
{IR + IC + IL }= IS (RMS), A |
IS = V * YT |
|||
Rectangular Form |
Magnitude |
Angle |
Magnitude |
Angle |
|
550 |
|||||
1000 |
Table 2 – Calculated RLC Component Current Values
Does the sum of the magnitudes of the three currents IR, IC, and IL, in the table above, equal the current, IS, calculated directly in the last column?
(YES or NO)
Explain why your answer is what it is.
3. Calculate the power dissipated by the parallel resistor and the power supplied by the source:
Frequency Hz |
PR, W |
PS, W |
550 |
||
1000 |
Table 3 – Calculated RLC Resistor Power Dissipation
B. Multisim Simulation and Circuit Calculations
1. Launch MultiSim and build the circuit schematic shown in Figure 2.Include the AC Power source and the DMMs.
2. Set both DMMs, XMM1 thru’ XMM4, to read AC measurements and Current, I. See fig. 2 below.
Figure 2: MultiSim RLC Parallel Circuit with Instrumentation
3. Activate the simulation and record the current readings for both frequencies:
Frequency Hz |
IS (RMS), A |
IR (RMS), A |
IC (RMS), A |
IL (RMS), A |
550 |
||||
1000 |
Table 4 – Current Measurements Simulation Results
4. Do the current values in Table 4 agree with those obtained in Tables, 2, 3, & 4 of Part A? (Circle your answer)
YES NO
5. Remove the DMMs and attach the wattmeter as shown below:
Figure 3 - AC Power Measurement
6. Record the measurement from the wattmeter.
Frequency Hz |
Source Power, PS (Watts) |
Power Factor |
550 |
||
1000 |
Table 5 - Power Measurement Readings
7. Do values
in the Tables 6 and 2 agree?
(Circle your answer)
YES NO
If there is any disagreement investigate the source of error and report your findings below:
C. Construction of a Parallel R, L, C Circuit and Measurement of Circuit Characteristics
1. Construct the circuit in Figure 1.
2. Set the function generator voltage to2.5V RMS and the frequency value to 550 Hz.
3. Turn the circuit on.
4. Record the current reading.
IS = _____________ (A)
5. Is this the same as the simulated and calculated value? ________ (YES or NO)
6. Measure and record the branch currents:
IR = ________ (A) IC= ________(A) IL = ________(A)
Are the current readings the same as your calculated and simulated values?
(Circle your answer)
YES NO
If you answered NO, explain why you think they
differ.
7.
Repeat Steps 2 through 6 with the frequency
generator set to output at 1000 Hz.
IS = ______________(A)
IR = ________ (A) IC= ________(A) IL = ________(A)
Are the current readings the same as your calculated and simulated values?
(Circle your answer)
YES NO
If you answered NO, explain why you think they differ.
IV. TROUBLESHOOTING
Describe any problems encountered and how those problems were solved.
Laboratory Report Cover Sheet
DeVry University
College of Engineering and Information Sciences
Course Number:ECET210
Professor:
Laboratory Number: 4
Laboratory Title:Analysis of AC Parallel RLC Circuit using Simulation and Construction
Submittal Date:Click here to enter a date.
Objectives:
Results:
Conclusions:
Team: |
|||||
Name |
Program |
Signature |
|||
Name |
Program |
Signature |
|||
Name |
Program |
Signature |
Observations/Measurements:
III. A. 1. RLC Circuit Calculated Impedance and Admittance Values:
Frequency Hz |
Susceptance, Siemens |
|
Inductive, BL |
Capacitive, BC |
|
550 |
||
1000 |
Frequency Hz |
Total Circuit AC Admittance, YT |
||
Complex Notation |
Magnitude |
Angle |
|
550 |
|||
1000 |
Frequency Hz |
Total Circuit AC Impedance, ZT |
||
Complex Notation |
Magnitude |
Angle |
|
550 |
|||
1000 |
III. A. 2. RLC Circuit Calculated Current Values:
Frequency Hz |
IR (RMS). A |
IC (RMS), A |
IL (RMS). A |
|||
Magnitude |
Angle |
Magnitude |
Angle |
Magnitude |
Angle |
|
550 |
||||||
1000 |
Frequency Hz |
{IR + IC + IL }= IS (RMS), A |
IS = V * YT |
|||
Complex Form |
Magnitude |
Angle |
Magnitude |
Angle |
|
550 |
|||||
1000 |
Match? Yes _____ No ______
Explanation:
III A. 3. RLC Circuit Calculated Power Dissipation:
Frequency Hz |
PR, W |
PS, W |
550 |
||
1000 |
III. B. 3. RLC Circuit Simulation Results:
Frequency Hz |
IS (RMS), A |
IR (RMS), A |
IC (RMS), A |
IL (RMS), A |
550 |
||||
1000 |
III. B. 4. Simulation Values Match Calculated Values:
Match? Yes _____ No ______
III. B. 6. RLC Circuit Simulated Power Measurement:
Frequency Hz |
Source Power, PS (Watts) |
Power Factor |
550 |
||
1000 |
III. B. 7. Simulation Values Match Calculated Values:
Match? Yes _____ No ______
Explain any mismatch:
III. C. 4. RLC Circuit Measured Current at 550 Hz:
IS = _____________ (A)
III. C. 5. Value Matches Calculated and Simulated Values:
Match? Yes _____ No ______
III. C. 6. RL Circuit Measured Currents:
IR = ________(A) IC = ________(A) IL= ________(A)
Match? Yes _____ No ______
Explain any mismatch:
III. C. 7. RLC Circuit Measured Current at 1000 Hz:
IS = _____________ (A)
IR = ________(A) IC = ________(A) IL= ________(A)
Match? Yes _____ No ______
Explain any mismatch:
Questions:
1.
Construct a Phasor Diagram to represent the source current and the branch
currents, IR, IC, and IL through the resistor,
capacitor, and the inductor. The diagram does not need to be drawn to scale.
However, the values of the items represented must be included in the diagram.
2.
Did
you notice any interesting feature in the lab exercise with regard to the two
different frequencies chosen for the experiment?
3. In the Multisim simulation, change the
frequency of the source to be between 725Hz to 735 Hz (in increments of 2 Hz)
and record the inductor and the capacitor currents.
Frequency, Hz |
IR, mA |
IC, mA |
IL, mA |
725 |
|
|
|
727 |
|
|
|
729 |
|
|
|
731 |
|
|
|
733 |
|
|
|
735 |
|
|
|
What do you notice from the readings?
Grade:
Deliverable |
Points Available |
Points Achieved |
Laboratory Cover Sheet |
8 |
|
Working Circuit(s)/Program(s) |
8 |
|
Observations/Measurements |
6 |
|
Questions |
8 |
|
Total Points |
30 |
|
Comments: |
-
Rating:
5/
Solution: Devry ECET210 week 3 ilab