Question

The impedance of a circuit consists of 3 \( \Omega \) resistance and 4 \( \Omega \) reactance. The power factor of the circuit is:

• A. 0.4
• B. 0.6
• C. 0.8
• D. 1.0

Hint:

The power factor is the ratio of resistance to impedance in an AC circuit.

Answer 1

The Correct Option is B

Step 1: Power factor formula.
The power factor \( \cos \phi \) is given by: \[ \cos \phi = \frac{R}{Z} \] where \( R \) is the resistance and \( Z \) is the impedance of the circuit.

Step 2: Calculate impedance.
The impedance is given by: \[ Z = \sqrt{R^2 + X^2} = \sqrt{3^2 + 4^2} = 5 \, \Omega \] Thus, the power factor is: \[ \cos \phi = \frac{3}{5} = 0.6 \] Thus, the correct answer is (2).