- An Installation consumes an active power of 5.2 KW and a reactive power of 1.1 KVAR in delay. Calculate the phase angle and power factor

1. Calcular la potencia aparente:
S = \sqrt{P^2 + Q^2}
donde:

P = 5.2 \, \text{KW}
Q = 1.1 \, \text{KVAR}

S = \sqrt{5.2^2 + 1.1^2}

S = \sqrt{27.04 + 1.21}

S = \sqrt{28.25}

S = 5.315 \, \text{KVA}

2. Calcular el factor de potencia (FP):
\text{FP} = \frac{P}{S}

\text{FP} = \frac{5.2}{5.315} \approx 0.9796

3. Calcular el ángulo de desfase (\theta):
\theta = \cos^{-1}(\text{FP})

\theta = \cos^{-1}(0.9796) \approx 11.31^\circ

El factor de potencia es aproximadamente 0.98 y el ángulo de desfase es 11.31°