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ECET210 Week 3 iLab with Questions | Complete Solution
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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

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

 

  1. 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.

 

  1. 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.

 

  1. 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

  1. 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

 

  1. Do the current values in Table 4 agree with those obtained in Tables, 2, 3, & 4 of Part A? (Circle your answer)   

                                                            YES             NO

 

  1. Remove the DMMs and attach the wattmeter as shown below:

 

Figure 3 - AC Power Measurement

 

  1. Record the measurement from the wattmeter.

 

Frequency

Hz

Source Power, PS

(Watts)

Power Factor

550

 

 

1000

 

 

 

Table 5 - Power Measurement Readings

 

  1. 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)

  1.  Is this the same as the simulated and calculated value? ________ (YES or NO)
  2. 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.


  1. 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:

 

 

 

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ECET210 Week 3 iLab with Questions | Complete Solution
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  • Submitted On 19 Feb, 2015 12:42:34
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Because, these values were calculated theoretically, the branch current is obtained with respect to the branch impedance, and finally, source current is obtained by...
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