AWG to Cross-Section Area
A = 0.012668 × 92^((36−AWG)/19.5)
Quick answer
This calculator solves A_mm² = 0.012668 × 92^((36 − AWG) / 19.5) for A. With Wire Gauge (AWG) 0.5, the result is 47.62.
Calculator
Formula
Description
This formula converts American Wire Gauge (AWG) numbers to cross-sectional area in mm². The AWG system is based on the number of drawing dies the wire passes through, so larger AWG numbers indicate smaller wire. Each increase of 3 AWG approximately halves the area and doubles the resistance. AWG 0000 (4/0) is the thickest standard gauge at 107.2 mm², while AWG 40 is a hair-thin 0.0050 mm² used in fine-pitch wire bonding and coil winding.
Variables
- AWG — American Wire Gauge number (integer, smaller = thicker)
Practical Notes
The result is in mm². Common conversions: AWG 30 = 0.051 mm², AWG 26 = 0.129 mm², AWG 22 = 0.326 mm², AWG 18 = 0.823 mm², AWG 14 = 2.08 mm², AWG 10 = 5.26 mm², AWG 4 = 21.15 mm². For metric equivalents in IEC/European practice: 0.5 mm² ≈ AWG 20, 1.5 mm² ≈ AWG 16, 2.5 mm² ≈ AWG 14, 4 mm² ≈ AWG 12, 6 mm² ≈ AWG 10. The relationship between AWG and diameter is: d_mm = 0.127 × 92^((36−AWG)/39).
Symbols and units
| Symbol | Meaning | Default unit | Accepted units |
|---|---|---|---|
| AWG | Wire Gauge (AWG) | — | — |
Step by step
- 1. What you know: Wire Gauge (AWG) 0.5
- 2. The relation: A_mm² = 0.012668 × 92^((36 − AWG) / 19.5)
- 3. Substitute: AWG = 0.5
- 4. Result: A = 47.62
Worked examples
Minimum range
Given: Wire Gauge (AWG) 0.025
Result: A = 53.17
Low range
Given: Wire Gauge (AWG) 0.25
Result: A = 50.46
Typical
Given: Wire Gauge (AWG) 0.5
Result: A = 47.62
High range
Given: Wire Gauge (AWG) 0.8
Result: A = 44.42
Maximum range
Given: Wire Gauge (AWG) 8
Result: A = 8.366
How A changes with Wire Gauge (AWG)
| Wire Gauge (AWG) (input) | A (result) |
|---|---|
| 0.05 | 52.86 |
| 0.125 | 51.95 |
| 0.25 | 50.46 |
| 0.375 | 49.02 |
| 0.5 | 47.62 |
| 0.75 | 44.94 |
| 1 | 42.41 |
| 2 | 33.63 |
| 3.5 | 23.75 |
| 5 | 16.77 |
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<p><a href="https://vbatpower.com/formulas/awg-to-mm2/">AWG to Cross-Section Area</a> Calculator by vbatpower.com</p>Frequently asked questions
How do you calculate AWG to Cross-Section Area?
Use A_mm² = 0.012668 × 92^((36 − AWG) / 19.5). With Wire Gauge (AWG) 0.5, A works out to 47.62.
What is the formula for AWG to Cross-Section Area?
The formula is A_mm² = 0.012668 × 92^((36 − AWG) / 19.5). This formula converts American Wire Gauge (AWG) numbers to cross-sectional area in mm².
Related Concepts
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