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Question

In a three-phase system with a line-to-line voltage of 400 V and a line current of 10 A, what is the total real power in Watt, delivered to the load if the power factor is 0.9?

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

3600√3 W

The total real power in a three-phase system can be calculated using the following formula:

\(P = \sqrt{3} V_{L} I_{L} \cos(\phi)\)

Where:

  • \(P\) is the total real power in Watts
  • \(V_{L}\) is the line-to-line voltage (400 V)
  • \(I_{L}\) is the line current (10 A)
  • \(\cos(\phi)\) is the power factor (0.9)

Substituting the given values into the formula:

\(P = \sqrt{3} \times 400 V \times 10 A \times 0.9\)

\(P = 3600\sqrt{3} W\)

Therefore, the total real power delivered to the load is \(3600\sqrt{3} W\).

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