Engineering Line Current for 30kW 3 phase motor

Click For Summary
To calculate the line current for a 30kW 3-phase motor with a power factor of 0.85 and a line voltage of 440V, the formula Il = P / (√3 * Vl * Cos ∅) is used. The calculated line current is approximately 46.31A, but the answer provided is 50.94A, indicating a discrepancy. Participants note that the source material contains errors, which can hinder learning. Despite these inaccuracies, users express that they have still gained valuable knowledge. Accurate calculations are crucial for proper motor operation and efficiency.
p75213
Messages
93
Reaction score
0

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
 
Physics news on Phys.org
p75213 said:

Homework Statement


Calculate the line current required for a [strike]30kW[/strike] 33kW[/color] 3 phase motor
http://img7.imageshack.us/img7/8738/p0813.gif
 
Last edited by a moderator:
NascentOxygen said:
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.
 
Last edited by a moderator:

Similar threads

  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
6K