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Wire Gauge Size Calculator

Wire Gauge Formula:

\[ \text{AWG} = -39 \times \log_{92}\left(\sqrt{\frac{A}{0.005}}\right) + 36 \]

mm²

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1. What is the Wire Gauge Size Calculator?

The Wire Gauge Size Calculator determines the American Wire Gauge (AWG) size from the cross-sectional area of a wire. AWG is a standardized wire gauge system used in North America for the diameters of round, solid, nonferrous, electrically conducting wire.

2. How Does the Calculator Work?

The calculator uses the AWG formula:

\[ \text{AWG} = -39 \times \log_{92}\left(\sqrt{\frac{A}{0.005}}\right) + 36 \]

Where:

Explanation: The formula calculates the AWG number based on the cross-sectional area, with smaller numbers indicating larger wire diameters.

3. Importance of Wire Gauge Calculation

Details: Proper wire gauge selection is crucial for electrical systems to ensure safe current carrying capacity, minimize voltage drop, and prevent overheating.

4. Using the Calculator

Tips: Enter the cross-sectional area in square millimeters (mm²). The value must be greater than 0. For round wires, area can be calculated from diameter using \( A = \pi \times (d/2)^2 \).

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between AWG and diameter?
A: AWG numbers decrease as wire diameter increases. Each 6-gauge decrease doubles the wire diameter.

Q2: What are common AWG sizes?
A: Common sizes range from AWG 40 (very fine) to AWG 0000 (thick cables). Household wiring typically uses AWG 10-14.

Q3: How does AWG relate to current capacity?
A: Larger wires (smaller AWG numbers) can carry more current. Always consult ampacity tables for specific applications.

Q4: What's the difference between AWG and SWG?
A: SWG (Standard Wire Gauge) is a British standard with different size progressions than AWG.

Q5: Can this calculator be used for stranded wire?
A: Yes, but you must use the total cross-sectional area of all strands combined.

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