411_HW5B

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University of Texas *

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411

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Electrical Engineering

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Feb 20, 2024

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9

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1. Award: 3.12 points 3.12 points 2. Award: 3.12 points 3.12 points An ac motor with impedance Z L = (5.6 + j 2.40) Ω is supplied by an RMS value of 220-V, 60-Hz source. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. References References Section Break Section Break Di culty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. Find the power factor, the average power, and the reactive power. The power factor of the given ac motor is . The average power of the given ac motor is kW. The reactive power of the given ac motor is kVAR. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor.
3. Award: 3.12 points 3.12 points Determine the capacitor required to be connected in parallel with the motor so that the power factor is corrected to unity. The required value of the capacitor is μ F. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. A 110-V rms, 60-Hz source is applied to a load impedance Z . The apparent power entering the load is 120 VA at a power factor of 0.707 lagging. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. References References Section Break Section Break Di culty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. Calculate the complex power. The complex power is + j VA. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor.
4. Award: 3.12 points 3.12 points 5. Award: 3.12 points 3.12 points 6. Award: 3.12 points 3.12 points Find the rms current supplied to the load. The rms current supplied to the load is A rms. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. Determine the value of impedance Z . The value of Z = + j Ω . References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. Assuming that , find the values of R and L . (Round the final answer to two decimal places.) Z = R + j L
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7. Award: 3.12 points 3.12 points 8. Award: 3.12 points 3.12 points The values of R and L are Ω and mH, respectively. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. If P = 269 W and Q = 165 VAR (capacitive), find the complex power. The complex power is ( j ) VA. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. Given that Q = 2050 VAR and pf = 0.9 (leading), find the complex power. The complex power is j kVA. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor.
9. Award: 3.12 points 3.12 points 10. Award: 3.12 points 3.12 points 11. Award: 3.12 points 3.12 points Determine the complex power if S = 600 VA and Q = 525 VAR (inductive). The complex power is ( + j ) VA. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. Determine the complex power for the following: V rms = 220 V, P = 0.6 kW, | Z | = 40 Ω (inductive) The complex power is ( + j ) kVA. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor.
For the network in the figure, find the complex power absorbed by each element. Take V s = 11 20° V rms. The complex power supplied by the source is + j ( ) VA. The complex power absorbed by the capacitor is j ( ) VA. The power absorbed by the resistor is W. The complex power absorbed by the inductor is j ( ) VA. References Numeric Response Difficulty: Medium Learning Objective: Understand apparent power (complex power), power, and reactive power and power factor. A voltage source of 436 Vrms, 60Hz is supplied to the given circuit. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. References References
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12. Award: 3.12 points 3.12 points 13. Award: 3.12 points 3.12 points 14. Award: 3.12 points 3.12 points Section Break Section Break Di culty: Medium Learning Objective: Understand power factor correction and the importance of its use. What is the power factor? The power factor is . References Numeric Response Difficulty: Medium Learning Objective: Understand power factor correction and the importance of its use. What is the average power dissipated? The average power dissipated is kW. References Numeric Response Difficulty: Medium Learning Objective: Understand power factor correction and the importance of its use.
15. Award: 3.12 points 3.12 points What is the value of the capacitance that will give a unity power factor when connected to the load? The value of the capacitance that will give a unity power factor when connected to the load is μ F. References Numeric Response Difficulty: Medium Learning Objective: Understand power factor correction and the importance of its use. Two loads connected in parallel draw a total of 2.4 kW at 0.8 lagging pf from 130-Vrms, 60-Hz line. One load absorbs 1.5 kW at a 0.707 lagging pf. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. References References Section Break Section Break Di culty: Medium Learning Objective: Understand power factor correction and the importance of its use. Determine the pf of the second load. The pf of the second load is . References
16. Award: 3.20 points 3.20 points Numeric Response Difficulty: Medium Learning Objective: Understand power factor correction and the importance of its use. Determine the parallel element required to correct the pf to 0.9 lagging for the two loads. The parallel element required to correct the pf to 0.9 lagging for the two loads is μ F. References Numeric Response Difficulty: Medium Learning Objective: Understand power factor correction and the importance of its use.
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