Question

A phase angle meter is connected in an RL series circuit and indicates that the current is 28 degrees out of phase with the voltage. What is the circuit power factor to the nearest percent?

Answer 1

The circuit power factor in an RL series circuit with the current 28 degrees out of phase with the voltage is approximately 88% to the nearest percent.

Step-by-step explanation:

The question concerns a phase angle in an RL series circuit and its relationship with the power factor. When the phase angle is given, the power factor can be calculated using the cosine of that angle. The phase angle of 28 degrees out of phase indicates the current lags the voltage by 28 degrees.

To find the power factor, you use the formula cos(phasor angle), where the phasor angle is the phase difference between the voltage and current. In this case:

• Power Factor = cos(28 degrees)

After calculating, we find that the power factor is approximately 0.8829. To find this to the nearest percent:

• Power Factor = 88.29%

Therefore, the circuit power factor to the nearest percent is 88%.