Question 21.8: In a certain Δ-connected balanced load, the line voltages ar...
In a certain Δ-connected balanced load, the line voltages are 250 V and the impedances are 50∠30° Ω. Determine the total load power.
In a Δ-connected system, V_{Z}=V_{L} and I_{L}=\sqrt{3} I_{Z}. The load current magnitudes are
I_{Z}=\frac{V_{Z}}{Z}=\frac{250 V }{50 \Omega}=5.0 Aand
I_{L}=\sqrt{3} I_{Z}=\sqrt{3}(5.0 A )=8.66 AThe power factor is
\cos \theta=\cos 30^{\circ}=0.866The total load power is
P_{L(t o t)}=\sqrt{3} V_{L} I_{L} \cos \theta=\sqrt{3}(250 V )(8.66 A )(0.866)=3.25 kWRelated Answered Questions
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