Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
LAB 6 – Combining Superposition & Thévenin’s Theorems In this Lab you will apply a combination of the Superposition Theorem and Thévenin’s Theorem to the circuit in FIG. 1 to arrive at the Thévenin Equivalent of that circuit as shown in FIG. 2. The Superposition Theorem is necessary here because the initial circuit in FIG. 1 contains TWO voltage sources that cannot be combined into one. You will explore the usefulness of the Superposition Theorem in predicting the influence that a change in one particular source voltage applied to one part of circuit has in the voltage developed in another part of the same circuit. V2 3V Thévenin Equivalent R2 1K2 R1 1K2 V1 5V R3 5K6 RTh R4 1K2 A VTh R5 10K B B FIG. 1 A FIG. 2 The circuit in FIG. 1 is similar to the one analyzed in class, with different resistor and voltage values. The voltages have been reduced to make it possible to implement with the lab power supply, and the resistor values have been reduce to get reasonable voltage values across all components. PROCEDURE 1. In this step you will calculate the resistance RAB seen between the terminals AB of the circuit in FIG. 1 which will be the value of the resistance RTh in the Thévenin Equivalent of FIG. 2. 2. Use the partial circuit in FIG. 3 to mark the changes required in the circuit of FIG. 1 to calculate the Thévenin resistance. 3. Use the space provided below to calculate and record RAB. FIG. 3 R2 1K2 R1 1K2 R3 5K6 R4 1K2 A R5 10K B RAB = ________ CALCULATED VALUE 4. Implement the circuit in FIG. 3 and use an OHMETER to measure the resistance between terminals AB. Record your measurement in the box to the right. Compare this value with the calculated one. Troubleshoot your circuit if they differ by more than 5%. RAB = ________ MEASURED VALUE 5. Use the partial circuit in FIG. 4 to mark the changes required in the circuit of FIG. 1 to calculate the voltage VAB(1) that will appear between terminals AB due ONLY to the voltage source V1. 6. Use the space provided below to calculate and record VAB(1). FIG. 4 R2 1K2 R1 1K2 R3 5K6 R4 1K2 A R5 10K B VAB(1) = ______ V CALCULATED VALUE 7. Implement the circuit in FIG. 4 and use a VOLTMETER to measure the voltage VAB(1) between terminals AB. Record your measurement in the box to the right. Compare this value with the calculated one. Troubleshoot your circuit if they differ by more than 5%. VAB(1) = ______ V MEASURED VALUE 8. Use the partial circuit in FIG. 5 to mark the changes required in the circuit of FIG. 1 to calculate the voltage VAB(2) that will appear between terminals AB due ONLY to the voltage source V2. 9. Use the space provided below to calculate and record VAB(2). FIG. 5 R2 1K2 R1 1K2 R3 5K6 R4 1K2 A R5 10K B VAB(2) = ______ V CALCULATED VALUE 10. Implement the circuit in FIG. 5 and use a VOLTMETER to measure the voltage VAB(2) between terminals AB. Record your measurement in the box to the right. Compare this value with the calculated one. Troubleshoot your circuit if they differ by more than 5%. VAB(2) = ______ V MEASURED VALUE 11. Use the Superposition Theorem to calculate the voltage VAB that will appear between the terminals AB when BOTH voltage sources are present as in the circuit of FIG. 6. To do this simply ADD algebraically the voltages VAB(1) and VAB(2) you obtained before by having each voltage source act upon the circuit independently. Record your result in the box below. V2 3V FIG. 6 R2 1K2 R1 1K2 V1 5V R3 5K6 R4 1K2 A R5 10K B VAB = VAB(1) + VAB(2) = ______ V CALCULATED VALUE 12. Implement the circuit in FIG. 6 and use a VOLTMETER to measure the voltage VAB between terminals AB. Record your measurement in the box to the right. Compare this value with the calculated one. Troubleshoot your circuit if they differ by more than 5%. VAB = ______ V MEASURED VALUE Question 1 13. With reference to the circuit in FIG. 4, what would have been the voltage VAB(1) if the polarity of the source V1 had been flipped? Enter your answer in the box to the right. VAB(1) = ______ V 14. Reconnect the circuit of FIG. 4 and actually flip the polarity of V1 Measure the voltage VAB(1) and record your result in the box to the right. Compare this value with the calculated one. Troubleshoot your circuit if they differ by more than 5%. VAB(1) = ______ V CALCULATED VALUE MEASURED VALUE Question 2 15. With reference to the circuit in FIG. 5, what would have been the voltage VAB(2) if the polarity of the source V2 had been flipped? Enter your answer in the box to the right. VAB(2) = ______ V 16. Reconnect the circuit of FIG. 5 and actually flip the polarity of V1 Measure the voltage VAB(2) and record your result in the box to the right. Compare this value with the calculated one. Troubleshoot your circuit if they differ by more than 5%. VAB(2) = ______ V CALCULATED VALUE MEASURED VALUE Question 3 17. With reference to the circuit in FIG. 6, what is the voltage VAB if the polarity of the source V2 is flipped? Enter your answer in the box to the right. VAB = ______ V 18. Reconnect the circuit of FIG. 6 and actually flip the polarity of V2. Measure the voltage VAB and record your result in the box to the right. Compare this value with the calculated one. Troubleshoot your circuit if they differ by more than 5%. VAB = ______ V CALCULATED VALUE MEASURED VALUE Question 4 19. Use the analyses covered up to this point to predict what change in VAB would be observed in the circuit of FIG. 1 if V1 increases by 16%. Prove your calculation by measuring the change in VAB when increasing V1 by 16%. VAB = ______ V CALCULATED VALUE VAB = ______ V MEASURED VALUE Question 5 20. Implement the Thévenin Equivalent of the circuit in FIG. 1 and demonstrate that both the original circuit (FIG. 1) and its Thévenin Equivalent (FIG. 2) behave the same (i.e. have the same voltage and current between terminals AB) when the loads RL listed in TABLE 1 are connected across their respective AB terminals. Record your measurements in TABLE 1. TABLE 1 Original Circuit FIG. 1 RL OPEN SHORT 1K 2K2 10K Thévenin Equivalent FIG.2 VAB IAB VAB IAB Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured Measured