American Institute Of Constructors (AIC) Level 1 Practice Test

In a three-phase power calculation, which constant approximates √3 when computing real power using P = √3 × V × I × PF?

1.41 2.00 3.14 1.73

Correct Answer:

1.73

Explanation:

In a balanced three-phase system, the real power relates to line values through P = √3 × V_line × I_line × PF. The √3 factor comes from the relationship between line and phase quantities in three-phase math: V_line is √3 times V_phase (and I_line equals I_phase in a balanced setup), which when combined gives the √3 factor in the power formula. The numeric value of √3 is about 1.732, so it’s typically approximated as 1.73 in calculations. That’s why 1.73 is the best fit. The other numbers don’t match this geometric relationship: 1.41 is √2, not applicable here; 2.00 and 3.14 are not correct approximations for √3.

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