Motor FLA Calculator

Calculate full load amperes for single-phase and three-phase AC motors.

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A motor FLA calculator that computes the full load amperes for any AC induction motor from its rated horsepower, supply voltage, efficiency and power factor — then derives the branch-circuit conductor ampacity, maximum breaker size and overload relay setpoint straight from the NEC formulas.

How it works

An AC induction motor converts electrical power to mechanical shaft power. The relationship between current, voltage and power follows a well-established formula that accounts for two losses on the way from the supply to the shaft: efficiency (heat, friction and core losses inside the motor) and power factor (the reactive component of the current that does no useful work but still flows through the conductors).

Three-phase formula:

FLA = (hp × 746) / (√3 × V × η × pf)

Single-phase formula:

FLA = (hp × 746) / (V × η × pf)

Where hp is rated output horsepower, V is the line-to-line voltage in volts, η is motor efficiency as a decimal (e.g. 0.92), pf is power factor as a decimal (e.g. 0.85), and √3 ≈ 1.7321 is the three-phase constant for balanced line currents.

The constant 746 is the exact SI value for one mechanical horsepower (1 hp = 746 W).

NEC branch-circuit sizing rules

Once FLA is known, three more values come directly from the National Electrical Code (NEC):

  1. Branch-circuit conductor ampacity — NEC 430.22 requires at least 125% of FLA for single motor branch circuits because motors are treated as continuous loads.
  2. Maximum overcurrent device — NEC Table 430.52 allows an inverse-time circuit breaker up to 250% of FLA (2.5×). The calculator rounds up to the next standard breaker rating from the NEC 240.6 schedule.
  3. Overload relay setpoint — NEC 430.32 sets trip current at 115% of FLA for motors with service factor SF ≥ 1.15, or 125% of FLA for motors with SF below 1.15 or not marked on the nameplate.

Worked example

A 10 hp, 480 V three-phase induction motor with 93% efficiency and 88% power factor (typical for a NEMA Premium motor in this size range):

  • FLA = (10 × 746) / (1.7321 × 480 × 0.93 × 0.88)
  • FLA = 7,460 / (1.7321 × 480 × 0.8184)
  • FLA = 7,460 / 680.0 ≈ 10.97 A

From that single number:

Derived valueCalculationResult
Branch conductor ampacity10.97 × 1.2513.71 A → use 14 AWG minimum
Maximum CB (raw)10.97 × 2.527.4 A
Recommended CB (standard)Next size ≥ 27.4 A30 A
Overload setpoint (SF 1.15)10.97 × 1.1512.6 A

Formula note

The 746 W/hp conversion is exact — it comes from the original definition of one horsepower as 550 ft·lbf/s, which converts to exactly 745.69987… W, rounded to 746 in practice. Some older references use 750 W/hp (a European approximation used with metric hp) — this calculator uses the IEEE/NEC standard value of 746 W/hp.

For three-phase systems the √3 factor arises because the three line currents in a balanced wye or delta circuit are 120° apart in phase, so total power is √3 × V_line × I_line × pf rather than 3 × V_phase × I_phase × pf (the two expressions are equivalent; the line-voltage form is more convenient for panel sizing).

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