Three identical resistors of 20 ohm Tare connected in star to a 415 V three
phase 50Hz supply. Calculate the power consumed by the load.
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The power consumed by the load is 4299 Watts.
Given:
R = 20ohm
V = 415 V
Three phase 50Hz
To Find:
The power consumed by the load
Solution:
Zph = √(20² + 20²) = 20√2 = 28.3Ω
Vph = 415/√3 = 239.6 V
Iph = 239.6/28.3 = 8.46A
IL = 8.46A
cos∅ = Rph/Zph = 20/28.3 = 0.707
Power consumed by the load = √3VIcoss∅
= √3 * 415 * 8.46 * 0.707
= 4299 Watts
Therefore, the power consumed by the load is 4299 Watts.
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