AWG Wire Gauge Calculator

Pick a wire size to see its diameter, area and copper resistance, then enter the run to get the voltage drop. Sizes follow the ASTM B258 AWG series; resistance uses the annealed-copper standard from NBS Handbook 100.

12 AWG copper, 50 ft one way at 15 A: 2.90 V drop — 2.4% of 120 V, within the 3% guideline

2.4% drop

2 × 50 ft × 15 A × 1.932 Ω/1,000 ft (75 °C) = 2.90 V

Wire properties and voltage drop
PropertyValue
Diameter0.0808 in · 2.053 mm
Area3.31 mm² · 6.53 kcmil
Resistance (solid) at 75 °C1.932 Ω/1,000 ft · 6.337 Ω/km
Voltage drop2.90 V (2.4%)
Voltage at the load117.1 V
Next metric size up (IEC 60228)4 mm²

For three-phase, use the line-to-line voltage (208, 480).

AWG wire size chart

AWGDiameter (in)Diameter (mm)Area (mm²)Area (kcmil)Ω/1,000 ft at 20 °C
4/00.460011.6841072120.04901
3/00.409610.40585.01680.06180
2/00.36489.26667.41330.07793
1/00.32498.25153.51060.09827
10.28937.34842.483.70.1239
20.25766.54433.666.40.1563
30.22945.82726.752.60.1970
40.20435.18921.241.70.2485
50.18194.62116.833.10.3133
60.16204.11513.326.30.3951
70.14433.66510.520.80.4982
80.12853.2648.3716.50.6282
90.11442.9066.6313.10.7921
100.10192.5885.2610.40.9989
110.09072.3054.178.231.260
120.08082.0533.316.531.588
130.07201.8282.625.182.003
140.06411.6282.084.112.525
150.05711.4501.653.263.184
160.05081.2911.312.584.016
170.04531.1501.042.055.064
180.04031.0240.8231.626.385
190.03590.9120.6531.298.051
200.03200.8120.5181.0210.15
210.02850.7230.4100.81012.80
220.02530.6440.3260.64216.14
230.02260.5730.2580.50920.36
240.02010.5110.2050.40425.67
250.01790.4550.1620.32032.37
260.01590.4050.1290.25440.81
270.01420.3610.1020.20251.47
280.01260.3210.08100.16064.90
290.01130.2860.06420.12781.84
300.01000.2550.05090.101103.2

Solid round copper, from the ASTM B258 formula. Stranded wire of the same gauge has about the same area but a slightly larger outside diameter and a little more resistance.

How the numbers are worked out

  • Diameter = 0.005 in × 92(36 − n)/39, where n is the gauge number and 1/0, 2/0, 3/0, 4/0 count as 0, −1, −2, −3. So 36 AWG is 0.005 in and 4/0 is 0.46 in.
  • Area: kcmil = (diameter in thousandths of an inch)² ÷ 1,000; mm² = π/4 × (diameter in mm)².
  • Resistance = 1/58 Ω·mm²/m (annealed copper, 20 °C) ÷ area, raised 0.393% per °C above 20 °C. At 75 °C this matches the NEC Chapter 9 Table 8 values for solid wire (12 AWG ≈ 1.93 Ω/1,000 ft); stranded conductors, used for the larger sizes, run slightly higher.
  • Voltage drop = 2 × one-way length × current × resistance per foot for single-phase or DC; √3 instead of 2 for three-phase, as a share of the line-to-line voltage.

The 3% (branch) and 5% (feeder plus branch) figures come from informational notes in NEC 210.19(A) and 215.2(A) — design advice for efficiency, not requirements.

What this page doesn't cover

  • Ampacity — the current a wire may carry depends on insulation rating, terminal rating, ambient temperature and bundling (NEC 310.16, 110.14(C)).
  • Aluminum conductors, AC skin effect and reactance on large feeders, and power factor.

For color-banded resistors use the resistor color code calculator; for other unit conversions, the unit converter.

Frequently asked questions

How thick is 12 gauge wire?

12 AWG solid wire is 0.0808 in (2.053 mm) across, with a cross-section of 3.31 mm² (6.53 kcmil). Solid copper 12 AWG has about 1.588 Ω per 1,000 ft at 20 °C.

How do I calculate voltage drop?

For a single-phase or DC circuit, drop = 2 × one-way length × current × resistance per foot (the current goes out and back). For three-phase, use √3 instead of 2. 50 ft of 12 AWG copper at 15 A and 75 °C drops about 2.9 V — 2.4% of 120 V.

What voltage drop is acceptable?

The National Electrical Code suggests no more than 3% on a branch circuit and 5% for feeder plus branch combined. That is an informational note for efficiency, not an enforceable rule — but it is the usual design target.

Why does the gauge number go down as the wire gets bigger?

AWG numbers come from wire-drawing steps: each smaller number is one fewer pass through a die. Every 6 gauges roughly halves the diameter, and every 3 gauges roughly halves the area.

Does this tell me what size wire I need for my breaker?

No. Ampacity depends on the insulation temperature rating, the terminals and how many conductors share a raceway (NEC 310.16 and 110.14(C)). Use this page for size, resistance and voltage drop, and check ampacity in the code table or with an electrician.

Checked on 2026-10-06. Based on: ASTM B258 AWG diameter series d = 0.005 in × 92^((36 − n)/39) (36 AWG = 0.005 in, 4/0 = 0.46 in) · NBS Handbook 100 Copper Wire Tables (annealed copper 1.7241 µΩ·cm = 1/58 Ω·mm²/m at 20 °C, temperature coefficient 0.00393) · NEC 210.19(A) Informational Note (3% branch / 5% total — advisory) · IEC 60228 nominal cross-sections. Updated when the rates or rules change.

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