Line Current for 30kW 3 phase motor

[p75213]

Homework Statement

Calculate the line current required for a 30kW 3 phase motor having a power factor of 0.85 lagging if it is connected to a balanced source with a line voltage of 440V.

Homework Equations

P=√3Vl*IlCos ∅
Il=$\frac{P}{√3VlCos ∅}$

P=Average Power
Il=Line Current
Vl=Line Voltage
∅=∅v-∅i=∅Z

The Attempt at a Solution

Il=$\frac{30000}{440√3\times0.85}$=46.31A

The answer given is 50.94A

 

[NascentOxygen]

Homework Statement

Calculate the line current required for a [strike]30kW[/strike] 33kW[/color] 3 phase motor

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[p75213]

http://img7.imageshack.us/img7/8738/p0813.gif

That's what I thought. This book has plenty of errors. Although it hasn't stopped me from learning a lot.