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Wire Gauge Calculator

This calculator converts wire diameter into the corresponding American Wire Gauge (AWG) size. It’s useful for electrical engineers, hobbyists, and technicians who need to identify or select wire sizes based on diameter.

AWG Size from Wire Diameter Estimator

Input Fields
d
mm
Diameter of the wire in millimeters
If enabled, the result will update automatically when you change any value.

Wire Gauge (AWG) Formula

Formula
$$\text{AWG} = -10 – 20 \cdot \log_{10}(d)$$

Where:

  • $$AWG$$ = American Wire Gauge number
  • $$d$$ = wire diameter (in inches)

This formula is an approximation valid for standard AWG sizes.


Wire Gauge – Calculation Example

Given:

  • $$d$$ = 0.032 inches

Calculation:

  1. $$\text{AWG} = -10 – 20 \cdot \log_{10}(0.032)$$
  2. $$= -10 – 20 \cdot (-1.494) ≈ -10 + 29.88 = 19.88 ≈ 20~\text{AWG}$$


AWG (American Wire Gauge) is a standardized wire sizing system widely used in North America. This calculator allows fast conversion from physical wire diameter to AWG number using a logarithmic formula. It’s helpful for choosing conductors in electronics, power systems, or when identifying unknown wires based on measurements. Note: actual AWG values are discrete integers, so results are rounded.

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