What is the power factor of a circuit with a resistance of 4Ω and a reactance of

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Question: What is the power factor of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2021)

Options:

Correct Answer: 0.6

Exam Year: 2021

Solution:

Power factor = R/Z = R/√(R² + X²) = 4/√(4² + 3²) = 4/5 = 0.8.

What is the power factor of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2021)

What is the power factor of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2021)

Step 1: Identify the resistance (R) and reactance (X) of the circuit. Here, R = 4Ω and X = 3Ω.
Step 2: Calculate the impedance (Z) using the formula Z = √(R² + X²).
Step 3: Substitute the values into the formula: Z = √(4² + 3²).
Step 4: Calculate R² and X²: R² = 16 and X² = 9.
Step 5: Add R² and X²: 16 + 9 = 25.
Step 6: Take the square root of 25 to find Z: Z = √25 = 5Ω.
Step 7: Now, calculate the power factor using the formula: Power factor = R/Z.
Step 8: Substitute the values: Power factor = 4/5.
Step 9: Simplify the fraction: Power factor = 0.8.

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