The formula to calculate the wire diameter is:
\[ d_n (\text{mm}) = 0.127 \, \text{mm} \times 92^{\left(\frac{36 - n}{39}\right)} \]
The formula to calculate the cross-sectional area is:
\[ A_n (\text{mm}^2) = \left(\frac{\pi}{4}\right) \times d_n^2 = 0.012668 \, \text{mm}^2 \times 92^{\left(\frac{36 - n}{19.5}\right)} \]
AWG to mm² is a conversion between two units used to measure the cross-sectional area of a wire, which is important in determining the wire’s electrical properties. AWG stands for American Wire Gauge, a standard used primarily in North America, while mm² stands for square millimeters, a metric unit used internationally. The larger the AWG number, the smaller the wire diameter, and vice versa for mm².
Let's assume the following value:
Using the formulas:
\[ d_{10} (\text{mm}) = 0.127 \, \text{mm} \times 92^{\left(\frac{36 - 10}{39}\right)} = 2.588 \, \text{mm} \]
\[ A_{10} (\text{mm}^2) = \left(\frac{\pi}{4}\right) \times (2.588 \, \text{mm})^2 = 5.261 \, \text{mm}^2 \]
The wire diameter is 2.588 mm and the cross-sectional area is 5.261 mm².
