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How do I calculate the amperage for a given round magnet wire?

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How do I calculate the amperage for a given round magnet wire?

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The formula for current carrying capacity in amperes for copper magnet wire wound into a coil is: d2 x 4869.48 (d = diameter in inches). This formula is pretty conservative, and formulas from other sources based on straight lengths of solid or stranded conductors in ambient air may indicate greater current carrying capacity than this one.

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