What is the power factor of a circuit with a resistance of 5 ohms and a reactanc

What is the power factor of a circuit with a resistance of 5 ohms and a reactance of 5 ohms? (2022)

What is the power factor of a circuit with a resistance of 5 ohms and a reactance of 5 ohms? (2022)

Step 1: Identify the resistance (R) and reactance (X) of the circuit. Here, R = 5 ohms and X = 5 ohms.
Step 2: Calculate the impedance (Z) using the formula Z = √(R² + X²).
Step 3: Substitute the values into the formula: Z = √(5² + 5²).
Step 4: Calculate R² and X²: R² = 25 and X² = 25.
Step 5: Add R² and X²: 25 + 25 = 50.
Step 6: Find the square root of 50: Z = √50.
Step 7: Simplify √50: Z = √(25 * 2) = 5√2.
Step 8: Now, calculate the power factor using the formula: Power factor = R/Z.
Step 9: Substitute the values: Power factor = 5 / (5√2).
Step 10: Simplify the fraction: Power factor = 1/√2.
Step 11: Convert 1/√2 to a more common form: Power factor = √2/2.

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