### ECET210 Week 4 iLab with Questions Complete Solution

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Question Details: #1070
ECET210 Week 4 iLab with Questions Complete Solution

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?

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?

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?

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?

 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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Solution Details: #1074
ECET210 Week 4 iLab with Questions Complete Solution

Is decreases  first , then reaches to a minimum and starts increasing

Did the source current, IS, go through a minimum or maximum as the frequency was changed from low to high?
minimum

What is the source frequency at the...

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