CSLB C-10 Electrical ContractorElectrical Theory and CalculationsMedium

A 208V, 3-phase pure resistive load draws 40 amps. What is the approximate total real power consumed by the load?

  1. A14.4 kW
  2. B20.8 kW
  3. C28.8 kW
  4. D8.3 kW
Show answer & explanation

Correct answer: A. 14.4 kW

For a pure resistive three-phase load, the power factor is 1. The real power (P) is calculated using the formula P = √3 * V * I. Multiply the square root of 3 by the voltage and current.

Why the other options are wrong

  • B. This is a calculation error, possibly using a single-phase formula or incorrect constant.
  • C. This value is too high, indicating a misapplication of the formula or incorrect units.
  • D. This is a calculation error, possibly dividing by √3 or miscalculating.

Three-Phase Real Power (Resistive)

Real power in a three-phase purely resistive circuit is the actual power converted into useful work or heat. It is measured in Watts (W).

  • Calculated as P = √3 * V * I (when PF=1).
  • For resistive loads, power factor is always 1.
  • Represents the average power over a cycle.

Memory trick: Real Power for Three-Phase is Root 3 times V I, if it's purely resistive!

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