**Casio fx-5800p and HP Prime: American Wire Gauge (AWB)**

**Everyone, I wish you all a Happy Holiday season, Merry Christmas and Happy New Year! I'm thankful for all of you. Wishing you the best! - Eddie****Introduction**

The following formula calculates the diameter of an American Wire Gauge:

d = 460 / (92^((3 + g)/39)) (in mils)

where g is the wire number (integer).

Define g as:

Wire number: 0000000, g = -6

Wire number: 000000, g = -5

Wire number: 00000, g = -4

Wire number: 0000, g = -3

Wire number: 000, g = -2

Wire number: 00, g = -1

Wire number: 0, g = 0

Any other wire number, enter g as the wire number (1, 2, 3, 4, etc.)

Conversion factor: 1000 mils = 1 in

Cross area of the wire:

a = d^2

**Casio fx-5800p Program WIRES**

Given the wire number, the program WIRES returns the diameter of the wire in inches and the cross sectional area in square inches.

"WIRE NUMBER: "? → G

460 ÷ (92 ^((3 + G) ÷ 39)) → D

D ÷ 1000 → D

D^2 → A

"DIAMETER: (IN)" ⊿

D ⊿

"CROSS AREA: (IN^2)" ⊿

A

**HP Prime Program Function AWB**

Given the wire number, the function AWB returns the diameter of the wire in inches.

EXPORT AWG(g)

BEGIN

// American Wire Gauge Diameter Function

// 2018-12-23 EWS

// in inches

RETURN (460/(92^((3+g)/39)))/1000;

END;

Examples:

g = -2 (000); d ≈ 0.4096 in, a ≈ 0.1678 in^2

g = 3; d ≈ 0.2294 in, a ≈ 0.0526 in^2

g = 6; d ≈ 0.1620 in, a ≈ 0.0263 in^2

Sources:

Ball, John A.

__Algorithms For RPN Calculators__John Wiley & Sons: New York 1978. ISBN 0-471-03070-8

Glover, Thomas J.

__Pocket Ref__4th Edition. Sequoia Publishing, Inc.: Littleton, CO 2012. ISBN 978-1-885071-62-0

Eddie

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This will get put to use as soon as I program it. 20 years of using a chart!

ReplyDeleteMerry Christmas Eddie!

Merry Christmas and Happy New Year, Bill!

DeleteEddie