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LAB 5EEE 202 LAB 5 CIRCUITS MEASUREMENTS MATLAB...

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EEE 202 Lab 5: 1st Order RC and RL Circuits in Time Domain Instructions. This document comprises the lab manual for Lab 5: 1st Order RC and RL Circuits in Time Domain. Complete the pre-lab exercises, perform the lab experiment, record your results, and prepare your lab report by following the instructions contained in this document. Save only the pages comprising the lab report into a new document using the naming convention YourLastName_EEE202_Lab5.doc and then export the new document to PDF. Submit the PDF file using the link on BB.

Overview First – order circuits are circuits which contain a single capacitor or inductor as well as voltage and/or current sources, resistors, and switches. A circuit containing multiple capacitors or inductors can be treated as a first-order circuit if a single equivalent capacitance or inductance can be found. In this lab exercise, you will be measuring first – order circuits using your EIC106 Breadboard, the Analog Parts Kit, and ADK. We will use the waveform generator and oscilloscope functions of the ADK. For this lab, the source is a pulse waveform with the following parameters (initially):  V1 = 0V  V2 = 1V  trise = 1s  tfall = 1s  Pulse width = 100s  Period = 200s

Fig. 1. Square Wave Source As a reminder, duty cycle is defined as a percentage of the period in which the signal is active. Duty Cycle can be found from figure 1 as pulse width divided by the period. In this lab, the pulse excitations have duty cycle of 50%.

1st Order RC and RL Circuits in Time Domain

Prelab Exercises 1. Consider the RC Circuit shown in Figure 3. Assume a pulse source as shown in Figure 2 with tON = 100s, and vON = 1 V. Derive an expression for the current i(t) flowing clockwise in the single loop circuit. Obtain expressions for the voltages across the resistor and the capacitor (in the direction of assumed current flow). Using MATLAB, plot these two voltages in a single plot as functions of time from 0 to 2 tON. Capture the plot and paste it as Figure 1 in the report form below. 2. Simulate in LTSPICE the RC Circuit shown in Figure 3. Assume that the pulse source defined in question 1 has rise and fall times of 1 S and a period of 200s. (Refer to Figure 1 for definitions of these parameters.) Plot the voltages across the resistor and the capacitor. Capture the plot and paste it as Figure 2 in the report form below.

v(t)

VON

tON

0

Fig. 2. Definitions for pulse waveform.

1st Order RC and RL Circuits in Time Domain

t

Fig. 3. RC Circuit

3. Repeat question 1 with tON reduced by a factor of 10, and repeat question 2 with tON, rise time, fall time, and the period all reduced by a factor of 10. Capture the plot and paste it as Figure 3 in the report form below. 4. Consider the RL Circuit shown in Figure 4. Assume a pulse source as shown in Figure 1 with tON = 100s, and vON = 1 V. Derive an expression for the current i(t) flowing clockwise in the single loop circuit. Obtain expressions for the voltages across the resistor and the inductor (in the direction of assumed current flow). Using MATLAB, plot these voltages as functions of time from 0 to 2 tON. Capture the plot and paste it as Figure 4 in the report form below.

Fig. 4 RL Circuit 5. Simulate the RL Circuit shown in Figure 4. Assume that the pulse source defined in question 1 has rise and fall times of 1 uS and a period of 200 s. (Refer to Figure 1 for definitions of these parameters.) Plot the voltages across the resistor and the inductor. Capture the plot and paste it as Figure 5 in the report form below.

Lab Work

1st Order RC and RL Circuits in Time Domain

1. Build the RC Circuit in Figure 3 on your breadboard. Assume the pulse source parameters defined above in the Overview. Record a screen capture of the voltage waveforms across the resistor and the capacitor over one period in steady state. Capture the plot and paste it as Figure 6 in the report form below. 2. Reduce the period by a factor of 10 but maintain the same duty cycle for the RC circuit. Record a screen capture of the voltage waveforms across the resistor and the capacitor over one period in steady state. Capture the plot and paste it as Figure 7 in the report form below. 3. Build the RL Circuit in Figure 4 on your breadboard. Assume the pulse source parameters defined above in the Overview. Record a screen capture of the voltage waveforms across the resistor and the inductor over one period in steady state. Capture the plot and paste it as Figure 8 in the report form below.

1st Order RC and RL Circuits in Time Domain

EEE 202 Lab 3 Report Form

Name: _______________________________________________ ASU ID: _____________________________________________

Figure 1. Voltages across the resistor and the capacitor (in the direction of assumed current flow) in the RC circuit obtained using the analytical expressions in MATLAB. (10pts)

1st Order RC and RL Circuits in Time Domain

Figure 2. Voltages across the resistor and the capacitor (in the direction of assumed current flow) in the RC circuit obtained using simulation in LTSPICE. (10 pts)

Figure 3. Voltages across the resistor and the capacitor (in the direction of assumed current flow) in the RC circuit obtained using simulation in LTSPICE. (with tON, rise time, fall time, and the period all reduced by a factor of 10). (5pts)

1st Order RC and RL Circuits in Time Domain

Figure 4. Voltages across the resistor and the inductor (in the direction of assumed current flow) in the RL circuit obtained using the analytical expressions in MATLAB. (5pts)

Figure 5. Voltages across the resistor and the inductor (in the direction of assumed current flow) in the RL circuit obtained using simulation in LTSPICE. (10 pts)

1st Order RC and RL Circuits in Time Domain

Insert your picture here Figure 6. Voltages across the resistor and the capacitor (in the direction of assumed current flow) in the RC circuit obtained in the measurement. (10 pts)

Insert your picture here Figure 7. Voltages across the resistor and the capacitor (in the direction of assumed current flow) in the RC circuit obtained in the measurement. (with tON, rise time, fall time, and the period all reduced by a factor of 10). (10 pts)

1st Order RC and RL Circuits in Time Domain

Insert your picture here Figure 8. Voltages across the resistor and the inductor (in the direction of assumed current flow) in the RL circuit obtained in the measurement. (10 pts)

1st Order RC and RL Circuits in Time Domain...