Question 16.10: The inductive load ZL in Figure 16–10 draws an apparent powe......

For |S_L| = 5 kVA at a lagging power factor of 0.75, the complex power delivered to Z_L is

S_{L} = 5000 × (0.75 + j\sqrt{1  –  0.75^{2}})

When |V_L| = 1200 V(rms) at 60 Hz, the reactive power of a 5-μF capacitor is

Q_C = −2πfC|V_L|² = −2π60 × 5 × 10^-6(1200)²

= −2714 VAR

The total complex power delivered to the parallel combination is

S_P = S_L + jQ_C − 3750 + j3307 − j2714

= 3750 + j593 VA

and the “corrected” power factor of the parallel combination is

pf_{cor} = \frac{3750}{|3750  +  j593|} = 0.988