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This week’s lab involves performing a transient analysis of a resistor-inductor (RL) circuit. You will submit your report by following the guidelines provided in the document titled “Formal Lab Report Guidelines” located in Week 7 of Doc Sharing.

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Transient Analysis of a Resistor – Inductor (RL) Circuit

This week’s lab involves performing a transient analysis of a resistor-inductor (RL) circuit. You will submit your report by following the guidelines provided in the document titled “Formal Lab Report Guidelines” located in Week 7 of Doc Sharing. Note that your Week 6 lab is very similar to this week’s lab, but your delivery format will be different. Do not copy the format from Week 6 when you submit this report.

This lab includes four parts:

  1. Theoretical Analysis:
  1. Theoretical calculations of the time constant, voltage, current, and the duration the transients last for the sample RL circuit given in Figure 7.1 below.

V1 = 10 VDC R = 1 kΩ L = 47 mH

Figure 7.1: RL Transient circuit

Use the resources provided from the lecture and your textbook to answer the following questions:

  1. What is a time constant? 
  2. What is a transient?
  3. Select the inductor from the lab kit. Using the DMM ohmmeter, measure the DC coil resistance of the inductor.
  4. What is the time constant τ for the circuit in Figure 7.1? Repeat the calculation by including the inductor coil resistance in the calculation.
  5. What is the transient time for the circuit in Figure 7.1? Repeat the calculation by including the inductor coil resistance in the calculation.
  6. What is the value of the current IL through the inductor at the beginning and the end of the charge cycle? Repeat the calculation by including the inductor coil resistance in the calculation.
  7. What is the voltage VL across the inductor and the resistor at the beginning and  end of the charge cycle? Repeat the calculation by including the inductor coil resistance in the calculation. (Note that the total voltage across the inductor will include the coil resistance.)
  8. How does the inductor act at the beginning and end of the charging process (short or open)? How does the inductor respond, including the coil resistance?
  9. What are VL and IL at 1τ, 2τ, 3τ, 4τ, and 5τ? (Show this in a separate table.)
  10. Repeat Step 9 including the coil resistance characteristic.
  • Verify your calculations by using MultiSim to perform a transient analysis and record your results in this report. 

Use what you learned in your Week 6 lab to perform a transient analysis, but this week you will display two outputs on the same graph or on separate graphs. You will display the voltage across the inductor, and you will display the current through the inductor. If you choose to display the outputs on one graph, you should use the left and right axis of your graph to display the two scales. Compare these results with the values you calculated to see if they match and explain any discrepancies. Include a copy of your transient analyses from MultiSim along with the report.

  1. Constructing the circuit and taking actual measurements.

The same rules outlined in “Wiring an RC Circuit”  from your Week 6 lab apply here, but in this case, your inductor is not polarized so there is no concern about the way you connect it in the circuit. 

Once the circuit is wired up, use the procedure you learned in the Week 6 lab to capture your signal. You will need a switch in the circuit  to capture the voltage across the inductor. In the absence of a switch, you can manually use a wire to close and open the circuit. First, you want to measure the current, which is performed by swapping the order of your resistor and inductor so that the resistor is connected to ground. Measure the voltage across the resistor. This waveform will be physically identical to the current flowing through the circuit. You can use the measured value of the voltages at specific instances in time and divide that voltage by 1K to get the value of current. 

After saving your plot of “current,” reverse the order of the resistor and inductor so that the inductor is connected to ground. (Explain in your report why it is necessary to do this.) 

Compare your results with your calculated and simulated results. Explain any discrepancies and explain any measurements with which you had difficulty.

  • All available results from your measurements should be displayed in a table for easy comparison. Along with your results, include any problems you had while performing this lab and how you resolved it.
  • Be sure that you answer the following questions related to your constructed circuit:
  1. How does the coil resistance of the inductor affect the results?
  • What can be done to keep the current value to be the same as in the case of an ideal inductor?
  • How can the inductor in MultiSim be “redesigned” so that it more closely approximates the real inductor?
 
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