What is the power factor of a circuit with a resistance of 6Ω and a reactance of

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Question: What is the power factor of a circuit with a resistance of 6Ω and a reactance of 8Ω? (2022)

Options:

Correct Answer: 0.8

Exam Year: 2022

Solution:

Power factor = R/Z = R/√(R² + X²) = 6/√(6² + 8²) = 6/10 = 0.6.

What is the power factor of a circuit with a resistance of 6Ω and a reactance of 8Ω? (2022)

What is the power factor of a circuit with a resistance of 6Ω and a reactance of 8Ω? (2022)

Step 1: Identify the resistance (R) and reactance (X) values. Here, R = 6Ω and X = 8Ω.
Step 2: Calculate the impedance (Z) using the formula Z = √(R² + X²).
Step 3: Substitute the values into the formula: Z = √(6² + 8²).
Step 4: Calculate R² and X²: R² = 6² = 36 and X² = 8² = 64.
Step 5: Add R² and X²: 36 + 64 = 100.
Step 6: Take the square root of the sum: Z = √100 = 10Ω.
Step 7: Calculate the power factor using the formula: Power factor = R/Z.
Step 8: Substitute the values: Power factor = 6/10.
Step 9: Simplify the fraction: Power factor = 0.6.

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