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AWG Wire Gauge Calculator

Convert AWG wire gauge to diameter (mm/inches), cross-sectional area (mm²), resistance per meter, and approximate current carrying capacity.

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Formula

din=0.005×9236AWG39d_{in} = 0.005 \times 92^{\frac{36-AWG}{39}}
dWire diameter (in)
AWGAmerican Wire Gauge number
ACross-sectional area (π × (d/2)²) (mm²)
RResistance: ρ·L/A (copper ρ = 1/58 μΩ·m) (mΩ/m)

How It Works

The American Wire Gauge (AWG) system is a standardized method for specifying wire diameter and cross-sectional area used in electrical and telecommunications engineering. The AWG scale uses a logarithmic formula to calculate wire dimensions, with each step representing a precise reduction in wire diameter. This system allows engineers and electricians to precisely determine wire characteristics like diameter, cross-sectional area, electrical resistance, and current-carrying capacity.

Worked Example

Problem: Calculate the diameter, cross-sectional area, and current capacity for AWG 10 wire Solution: 1. Diameter (inches): d = 0.005 × 92^((36-10)/39) = 0.1019 inches 2. Diameter (mm): 0.1019 × 25.4 = 2.59 mm 3. Cross-sectional area: π(2.59/2)² = 5.27 mm² 4. Current capacity: 7 × (5.27)^0.726 ≈ 15.3 A

Practical Tips

  • Always verify wire rating for specific application requirements
  • Consider temperature and insulation when selecting wire gauge
  • Use proper safety margins when calculating current capacity
  • Check manufacturer specifications for precise wire characteristics

Common Mistakes

  • Confusing AWG number with actual wire diameter
  • Not accounting for temperature effects on current capacity
  • Using incorrect conversion factors
  • Neglecting wire material conductivity variations

Frequently Asked Questions

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