Solving Delta Connected Load: Find Phase Current in PU and SI Units

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For a balanced delta-connected load rated at 10 KVA and 500V, the phase current can be calculated using the formula I_phase = I_line / √3. The user correctly calculated the per unit line current as 0.58 pu but is confused about the phase current being 6.7A instead of the expected 20A divided by √3. The discrepancy arises because the phase current in a delta connection is indeed I_line / √3, leading to the 6.7A value. Additionally, the discussion touches on the concept that a delta connection can produce one-third of the instantaneous power due to the distribution of current across the phases, given the same impedance and voltage. Understanding these relationships is crucial for accurate calculations in electrical engineering.
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A balanced 3 phase load is rated at S=10KVA and 500V. The device is operating at 90% nominal voltage and 100 % line current.

The question is:
if the load is delta connected, find the phase current in per unit and SI units.

I calculated correctly that the per unit line current value is 0.58 pu, but the answer given for Ip=6.7A and I don't see why.

I calculated S=VI* S/V=I*=20A and 6.7 is 20/3...I thought that for delta connected load, you Iphase=Iline/√3... I am out by a factor of 1/√3 please explain!
 
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Also can anyone explain why delta connection produces 1/3 of the instantaneous power given the same Z and V?
 

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