How Three-Phase Motor Amperage Is Calculated: HP, Voltage, Efficiency, and Power Factor
Learn the three-phase motor current formula — how to calculate full-load amps from horsepower, voltage, motor efficiency, and power factor, with NEC table values for quick reference.
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Three-Phase Motor Current Formula
Full-Load Amperage (FLA) = HP × 746 / (√3 × V × η × PF)
Where: - HP = motor horsepower rating - 746 = watts per horsepower - √3 ≈ 1.732 - V = line-to-line voltage (typically 208, 230, 460, or 480V) - η = motor efficiency (decimal, typical 0.88–0.95) - PF = power factor (decimal, typical 0.85–0.92 for most motors)
Simplified (using NEC-standard assumptions): FLA ≈ HP × 746 / (√3 × V × 0.90 × 0.88)
Worked Example: 10 HP Motor at 480V
Standard assumptions: η = 0.91, PF = 0.86
FLA = 10 × 746 / (1.732 × 480 × 0.91 × 0.86) = 7,460 / (1.732 × 480 × 0.7826) = 7,460 / 650.8 = 11.5 amps
NEC Table 430.250 lists 10 HP at 460V = 14A (slightly conservative — NEC values include safety margin)
NEC Table 430.250: Three-Phase Induction Motor FLA
*(Representative values — always check current NEC edition)*
Wire and Overcurrent Sizing (NEC Article 430)
Wire size for motors: NEC requires conductors rated at 125% of motor FLA Wire ampacity ≥ FLA × 1.25
Example: 10 HP, 460V (FLA = 14A) Required wire ampacity: 14 × 1.25 = 17.5A → use 12 AWG (rated 20A)
Overcurrent protection (fuse/breaker): Up to 250% of FLA (inverse time breaker) Maximum breaker: 14 × 2.50 = 35A → use 35A breaker
Starting Current (Inrush)
Motors draw 6–8× their full-load amperage during startup: - 10 HP motor (14A FLA): Startup inrush = 84–112A - This is why motor circuits use time-delay fuses or inverse-time breakers
Soft starters and VFDs reduce startup inrush significantly: - Soft starter: Limits inrush to 2–4× FLA - VFD: Limits inrush to 1–1.5× FLA (smoothest start)
Related Guides
Frequently Asked Questions
- How do I calculate the amps for a 3-phase motor?
- FLA = HP × 746 / (√3 × Voltage × Motor Efficiency × Power Factor). For a 5 HP motor at 480V, efficiency 0.90, PF 0.86: FLA = 5 × 746 / (1.732 × 480 × 0.90 × 0.86) = 3,730 / 645.2 = 5.78 amps. NEC Table 430.250 gives a conservative 7.6A for the same rating — use NEC values for conductor and overcurrent device sizing.
- What size wire do I need for a 5 HP three-phase motor at 480V?
- NEC FLA for 5 HP at 460V = 7.6A. Wire must be rated for FLA × 1.25 = 9.5A minimum. 14 AWG (rated 15A at 60°C) is sufficient. However, for motors, always check voltage drop for longer runs — use 12 AWG for runs over 50 feet. The circuit breaker can be up to 250% of FLA: 7.6 × 2.5 = 19A → use a 20A breaker.
- Why does NEC motor current differ from my calculated value?
- NEC Table 430.250 FLA values are intentionally conservative — they're based on older, less efficient motor designs and include safety margins for starting conditions, temperature variation, and motor aging. Actual nameplate current on modern high-efficiency motors is often lower than the NEC table. For conductor sizing, always use the larger of NEC table or nameplate FLA.
- How much starting current does a three-phase motor draw?
- Three-phase induction motors typically draw 6–8× their full-load amperage during the first few cycles of startup (inrush current). A 10 HP motor with 14A FLA may draw 84–112A for 0.1–3 seconds at startup. This is why motor circuits use time-delay fuses (up to 175% of FLA for dual-element) or inverse-time breakers (up to 250% of FLA) that can withstand this brief inrush without tripping.
Last updated 7/28/2026