Laboratory Report Cover SheetDeVry 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:
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.
Did you notice any interesting feature in the lab exercise with regard to the two different frequencies chosen for the experiment?
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 ...
Laboratory Report Cover SheetDeVry UniversityCollege of Engineer.docx
1. Laboratory Report Cover SheetDeVry 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:
3. 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
4. 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
5. 1000
Frequency Hz
{IR+ IC + IL }= IS (RMS), A
IS = V * YT
Complex Form
Magnitude
Angle
Magnitude
Angle
550
1000
6. 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
7. 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 ______
8. 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:
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.
9. Did you notice any interesting feature in the lab exercise with
regard to the two different frequencies chosen for the
experiment?
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
10. 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
11. 6
Questions
8
Total Points
30
Comments:
Laboratory ProceduresDeVry University
College of Engineering and Information Sciences
OBJECTIVES
To analyze a parallel AC circuit containing a resistor (R), an
inductor (L), and a capacitor (C).
To simulate the RLC circuit and observe the circuit
responses.
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 Ω Resistor 1 - 1 µF Capacitor
1 - 47 mH Inductor
12. Software:
MultiSim 11
III. PROCEDURE
A. Theoretical Analysis
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.
AC
C = 1 µF
R = 470 Ω
IS
f = 550 Hz
IL
IR
IC
+
Function Generator
RL
L = 47 mH
13. VS = 2.5 VRMS
Function
Generator
V
S
= 2.5 V
RMS
C
=
1
µ
F
R
=
4
7
0
Ω
I
R
I
C
+
I
S
f = 550 Hz
I
L
16. 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
17. 550
1000
Table 1 – Calculated RLC Admittance and Impedance Values
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
18. 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.
Calculate the power dissipated by the parallel resistor and the
19. power supplied by the source:
Frequency Hz
PR, W
PS, W
550
1000
Table 3 – Calculated RLC Resistor Power Dissipation
B. MultisimSimulation and Circuit Calculations
Launch MultiSim and build the circuit schematic shown in
Figure2. Include the AC Power source and the DMMs.
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
Activate the simulation and record the current readings for both
frequencies:
Frequency Hz
IS (RMS), A
IR (RMS), A
IC (RMS), A
20. IL (RMS), A
550
1000
Table 4 – Current Measurements Simulation Results
Do the current values in Table 4 agree with those obtained in
Tables, 2, 3, & 4 of Part A? (Circle your answer)
YESNO
Remove the DMMs and attach the wattmeter as shown below:
Figure 3 - AC Power Measurement
Record the measurement from the wattmeter.
Frequency
Hz
Source Power, PS
(Watts)
Power Factor
550
1000
21. Table 5 - Power Measurement Readings
Do values in the Tables 6 and 2 agree?(Circle your answer)
YESNO
If there is any disagreement investigate the source of error and
report your findings below:
C. Construction of a ParallelR, L, C Circuit and Measurement
of Circuit Characteristics
Construct the circuit in Figure 1.
Set the function generator voltage to 2.5 V RMS and the
frequency value to 550 Hz.Turn the circuit on.Record the
current reading.
IS =_____________ (A) Is this the same as the simulated and
calculated value? ________ (YES or NO)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)
YESNO
If you answered NO, explain why you think they differ.
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)
22. YESNO
If you answered NO, explain why you think they differ.
IV. TROUBLESHOOTING
Describe any problems encountered and how those problems
were solved.
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 Ω Resistor 1 - 1 µF Capacitor
1 - 47 mH Inductor
Software:
MultiSim 11
III. PROCEDURE
23. 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
24. 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
26. 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
27. 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:
28. 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 to 2.5 V RMS and the
frequency value to 550 Hz.
3. Turn the circuit on.
4. Record the current reading.
IS =_____________ (A)
29. 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.
Function
Generator
V
S
= 2.5 V