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Power, Volt-Amperes and Power Factor: Which One the Question Wants

Watts and volt-amperes are the same number until they are not. The code calculates in volt-amperes. Equipment is often rated in watts. Questions are built in the gap, and the three-phase formula is where the gap gets expensive.

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Florida reads the 2023 book

The Florida certification examinations reference the 2023 National Electrical Code, and the approved list dates the 2026 edition to take over on 21 August 2027. This page holds no table values, but the sections it names are the 2026 numbers.

This is a page where a number moved. Load calculations are Article 120 in the 2026 book and Article 220 in the 2023 edition, so a rule printed here at 120 something sits in Article 220 in a 2023 copy, and the section number under that article can differ too.

If your book is the other edition

The 2023 to 2026 section crosswalk maps every section that moved, both directions, $29 once.

On this page
  1. Why the code uses volt-amperes
  2. Power factor in one paragraph
  3. The single-phase and three-phase forms
  4. Reading which one is wanted
  5. What this page cites

Why the code uses volt-amperes

Because it refuses to assume anything about the load. Volt-amperes is what the conductor actually carries, regardless of how efficiently the load turns it into anything.

Watts is what gets converted into useful work. On a heater those are the same. On a motor they are not, because the current and the voltage are out of step with each other.

A conductor does not care about the phase relationship. It heats according to current, and current follows volt-amperes, which is why the load calculation rules are written in that unit and not in watts.

Power factor in one paragraph

Power factor is the ratio of watts to volt-amperes. At one they are equal. At 0.8 the circuit carries more current than the useful power would suggest, and the amount more is worth working once.

Take 8000 watts on a 240 volt single-phase circuit. At unity, the current is 8000 over 240, or 33.3 amperes. At 0.8, the apparent power is 8000 over 0.8, or 10,000 volt-amperes, and the current is 10,000 over 240, or 41.7 amperes. Same useful work, a quarter more current, and the conductor is sized on the current.

So a load with poor power factor wants a bigger conductor for the same amount of work. That is the practical consequence and the reason the concept is on this exam at all.

The single-phase and three-phase forms

Single phase: volt-amperes is the voltage across the load times the current through it.

Three phase: volt-amperes is the line-to-line voltage times the line current times the square root of three. The word line is load-bearing. Hand that formula a phase voltage instead and the answer is wrong by a factor of 1.73, which is the single most common wrong answer in this topic.

Written from the other side, the same quantity is three times the phase voltage times the phase current, with no square root of three in it anywhere. Two forms, one result. If yours disagree by roughly 1.73, you have taken one quantity from each side.

Watts, in both cases, is volt-amperes times power factor.

Worked, so you can see the two forms close

A 480 volt delta with 100 amperes in each winding. The line current is the square root of three times 100, about 173.2 amperes. From the line side, the square root of three times 480 times 173.2 is 144,000 volt-amperes. From the phase side, three times 480 times 100 is 144,000. They are the same expression, because the square root of three appears twice on the line side and squares to the three on the phase side.

Those forms cover the arithmetic. They do not cover every power item on the paper, because motor items are not arithmetic items, which is the next section.

Reading which one is wanted

That last one carries the most weight. Horsepower describes what leaves the shaft, about 746 watts of it per horsepower. What enters at the terminals is larger by the efficiency, and the current is larger again by the power factor, so a chain of three assumptions sits between a horsepower rating and an ampere figure.

Which is a large part of why the code sends you to a full-load current table instead of letting you calculate it. Do not compute a motor conductor from power. Go to the table.

Put it to the test

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What this page cites

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