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What is the formula for calculating the total power in a three-phase AC system?

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Question: What is the formula for calculating the total power in a three-phase AC system?

Options:

  1. P = √3 * V * I * cos(Ο†)
  2. P = V * I
  3. P = V^2 / R
  4. P = I^2 * R

Correct Answer: P = √3 * V * I * cos(Ο†)

Solution: 

The total power in a three-phase AC system is calculated using the formula P = √3 * V * I * cos(Ο†), where Ο† is the phase angle.

What is the formula for calculating the total power in a three-phase AC system?

Practice Questions

Q1
What is the formula for calculating the total power in a three-phase AC system?
  1. P = √3 * V * I * cos(Ο†)
  2. P = V * I
  3. P = V^2 / R
  4. P = I^2 * R

Questions & Step-by-Step Solutions

What is the formula for calculating the total power in a three-phase AC system?
Correct Answer: P = √3 * V * I * cos(Ο†)
  • Step 1: Understand that a three-phase AC system has three wires carrying alternating current.
  • Step 2: Know that 'P' represents the total power in watts.
  • Step 3: Recognize that 'V' is the voltage across each phase in volts.
  • Step 4: Identify 'I' as the current flowing through each phase in amperes.
  • Step 5: Learn that 'cos(Ο†)' is the power factor, which accounts for the phase difference between voltage and current.
  • Step 6: Combine these elements into the formula: P = √3 * V * I * cos(Ο†).
  • Step 7: Use this formula to calculate the total power in a three-phase AC system.
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