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

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vvl92
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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!
 
on Phys.org
Also can anyone explain why delta connection produces 1/3 of the instantaneous power given the same Z and V?