What is the power factor of a circuit with a resistance of 8Ω and a reactance of

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Question: What is the power factor of a circuit with a resistance of 8Ω and a reactance of 6Ω? (2023)

Options:

Correct Answer: 0.8

Exam Year: 2023

Solution:

Power factor = R/Z, where Z = √(R² + X²) = √(8² + 6²) = 10. Thus, PF = 8/10 = 0.8.

What is the power factor of a circuit with a resistance of 8Ω and a reactance of 6Ω? (2023)

What is the power factor of a circuit with a resistance of 8Ω and a reactance of 6Ω? (2023)

Step 1: Identify the resistance (R) and reactance (X) values. Here, R = 8Ω and X = 6Ω.
Step 2: Calculate the impedance (Z) using the formula Z = √(R² + X²).
Step 3: Substitute the values into the formula: Z = √(8² + 6²).
Step 4: Calculate 8² = 64 and 6² = 36.
Step 5: Add the results: 64 + 36 = 100.
Step 6: Take the square root: Z = √100 = 10.
Step 7: Now, calculate the power factor (PF) using the formula PF = R/Z.
Step 8: Substitute the values: PF = 8/10.
Step 9: Simplify the fraction: PF = 0.8.

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