Find AWG for Stranded Conductors
Use the following formula and reference table to get an approximate American Wire Gauge (AWG) value for a stranded cable when you know the number of strands and the diameter of each individual strand.
Formula & Example Calculation
To find the total cross-sectional area of a cable with 41 strands of 0.20mm wire, follow these steps:
- Calculate the area of a single strand.
Formula: Area = (π × Diameter²) / 4
Calculation: (3.14159 × 0.20²) / 4 = 0.0314 mm² - Calculate the total area of all strands.
Formula: Total Area = (Area of one strand) × (Number of strands)
Calculation: 0.0314 mm² × 41 = 1.2874 mm² - Find the closest value in the reference table below.
The closest area to 1.2874 mm² is 1.308 mm², which corresponds to an equivalent of 16 AWG.
Reference Table: AWG by Nominal Area
| Area (mm²) | AWG |
|---|---|
| 33.62 | 2 |
| 29.94 | 2.5 |
| 26.66 | 3 |
| 23.75 | 3.5 |
| 21.149 | 4 |
| 18.840 | 4.5 |
| 16.766 | 5 |
| 14.938 | 5.5 |
| 13.298 | 6 |
| 11.846 | 6.5 |
| 10.551 | 7 |
| 9.400 | 7.5 |
| 8.367 | 8 |
| 7.456 | 8.5 |
| 6.631 | 9 |
| Area (mm²) | AWG |
|---|---|
| 5.910 | 9.5 |
| 5.261 | 10 |
| 4.689 | 10.5 |
| 4.168 | 11 |
| 3.713 | 11.5 |
| 3.308 | 12 |
| 2.950 | 12.5 |
| 2.627 | 13 |
| 2.336 | 13.5 |
| 2.082 | 14 |
| 1.855 | 14.5 |
| 1.652 | 15 |
| 1.472 | 15.5 |
| 1.308 | 16 |
| 1.167 | 16.5 |
| Area (mm²) | AWG |
|---|---|
| 1.040 | 17 |
| 0.924 | 17.5 |
| 0.823 | 18 |
| 0.732 | 18.5 |
| 0.653 | 19 |
| 0.582 | 19.5 |
| 0.519 | 20 |
| 0.462 | 20.5 |
| 0.412 | 21 |
| 0.367 | 21.5 |
| 0.324 | 22 |
| 0.289 | 22.5 |
| 0.259 | 23 |
| 0.230 | 23.5 |
| 0.205 | 24 |
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