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🇺🇸 NEC NFPA 70 · Table 310.16 (75°C) · Voltage Drop Analysis

50 Amp Wire Size at 30 Feet (208V Three-Phase (US Commercial Wye))

Complete conductor sizing, Ohm's law voltage drop, $I^2R$ line power loss, and circuit breaker specification for a 50 A load over a 30 ft (9.1 m) one-way run.

Copper Wire (≤3% Drop)8 AWG8.37 mm² · Drop: 0.97%
Aluminum Wire (≤3% Drop)6 AWGDrop: 2.1V (1.01%)
Voltage at Load End206.0 VLoss: 2.02 V (175.3 W)
Power & Breaker (125%)18.01 kW63A Breaker Recommended

All AWG & kcmil Wire Gauges for 50 Amps at 30 Feet (208V)

Wire GaugeMetric AreaNEC 75°C Cu Ampacity Copper Voltage DropLoad VoltageAluminum DropLine Loss ($I^2R$)NEC Status
14 AWG2.08 mm²15 A8.15 V (3.92%)199.9 V13.44 V (6.46%)705.6 WDrop/Amp High
12 AWG3.31 mm²20 A5.12 V (2.46%)202.9 V8.45 V (4.06%)443.4 WDrop/Amp High
10 AWG5.26 mm²30 A3.22 V (1.55%)204.8 V5.31 V (2.56%)279.0 WDrop/Amp High
8 AWG8.37 mm²50 A2.02 V (0.97%)206.0 V3.34 V (1.61%)175.3 W✓ PASS (≤3%)
6 AWG13.3 mm²65 A1.27 V (0.61%)206.7 V2.1 V (1.01%)110.3 W✓ PASS (≤3%)
4 AWG21.15 mm²85 A0.8 V (0.39%)207.2 V1.32 V (0.64%)69.4 W✓ PASS (≤3%)
3 AWG26.67 mm²100 A0.64 V (0.31%)207.4 V1.05 V (0.5%)55.0 W✓ PASS (≤3%)
2 AWG33.62 mm²115 A0.5 V (0.24%)207.5 V0.83 V (0.4%)43.7 W✓ PASS (≤3%)
1 AWG42.41 mm²130 A0.4 V (0.19%)207.6 V0.66 V (0.32%)34.6 W✓ PASS (≤3%)
1/0 AWG53.49 mm²150 A0.32 V (0.15%)207.7 V0.52 V (0.25%)27.4 W✓ PASS (≤3%)
2/0 AWG67.43 mm²175 A0.25 V (0.12%)207.7 V0.41 V (0.2%)21.8 W✓ PASS (≤3%)
3/0 AWG85.01 mm²200 A0.2 V (0.1%)207.8 V0.33 V (0.16%)17.3 W✓ PASS (≤3%)
4/0 AWG107.2 mm²230 A0.16 V (0.08%)207.8 V0.26 V (0.13%)13.7 W✓ PASS (≤3%)
250 kcmil126.7 mm²255 A0.13 V (0.06%)207.9 V0.22 V (0.11%)11.6 W✓ PASS (≤3%)
300 kcmil152.0 mm²285 A0.11 V (0.05%)207.9 V0.18 V (0.09%)9.7 W✓ PASS (≤3%)
350 kcmil177.3 mm²310 A0.1 V (0.05%)207.9 V0.16 V (0.08%)8.3 W✓ PASS (≤3%)
400 kcmil202.7 mm²335 A0.08 V (0.04%)207.9 V0.14 V (0.07%)7.2 W✓ PASS (≤3%)
500 kcmil253.4 mm²380 A0.07 V (0.03%)207.9 V0.11 V (0.05%)5.8 W✓ PASS (≤3%)
600 kcmil304.0 mm²420 A0.06 V (0.03%)207.9 V0.09 V (0.04%)4.8 W✓ PASS (≤3%)
750 kcmil380.0 mm²475 A0.04 V (0.02%)208.0 V0.07 V (0.04%)3.9 W✓ PASS (≤3%)
1000 kcmil506.7 mm²545 A0.03 V (0.02%)208.0 V0.06 V (0.03%)2.9 W✓ PASS (≤3%)

Frequently Asked Engineering Questions

What size copper wire do I need for 50 amps at 30 feet (208V)?

To stay within the NEC recommended 3% maximum voltage drop for a 50A load over 30 feet one-way at 208V (3-Phase), you need 8 AWG copper wire. This produces a voltage drop of 2.02V (0.97%) and delivers 206.0V at the load.

What size aluminum wire is required for 50 amps at 30 feet?

Using aluminum conductors (75°C rating), you should use 6 AWG to maintain voltage drop at 2.1V (1.01%).

What breaker size is needed for a 50A continuous load?

Under NEC 210.20(A), continuous loads require a circuit breaker rated at 125% of the continuous current (50A × 1.25 = 62.5A), which corresponds to a standard 63A circuit breaker.