CALCULATORS / WIRES, CABLES AND HARNESSES

Wire gauge and conductor area calculator

AWG geometric diameter relationship; not an ampacity table.

wires-wire-gauge.napkin / editable

SCENARIO COMPARISON

Compare the numbers.

This source describes an analytical model. Its quantities and checks are the view.

Scenario	diametermm	areamm^2
	0.510559	0.20473
	0.890724	0.623126

All calculated quantities are listed with the inputs. Switch to Source to inspect the equations.

SCENARIOS / CALCULATED VALUESSAME SOURCE

Change an input to see the consequences.

wire diameter envelope0.51 mm✓ passes

BASELINE INPUTS

gauge24 inch25.4 mm

CALCULATED

diameter0.51056 mm

area0.20473 mm^2

Edits change the baseline source.

THE SOURCE

Edits below update the same model.

# Wire gauge and conductor area
# Scope: AWG geometric diameter relationship; not an ampacity table.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

gauge = 24
inch = 25.4 mm

diameter := 0.005*inch*92^((36-gauge)/39) [mm]
area := pi*diameter^2/4 [mm^2]

check wire diameter envelope: diameter <= 1 mm

scenario alternative: gauge = 19.2

Calculated from your source · not saved

Baseline · Baseline

wire diameter envelope0.51 mm ✓ passes

alternative · alternative

wire diameter envelope0.89 mm ✓ passes

Illustrative first-order example. Checks are editable requirements, not design standards. The broader topic may require additional equations, data, and validation.

Formula and units

This example uses the following equations. Input names and units match the editable source above.

diameter: diameter = 0.005*inch*92^((36-gauge)/39) [mm]
area: area = pi*diameter^2/4 [mm^2]

Original worked example

These are the baseline values in the downloadable source. Edits above let you test your own values.

Given

gauge: 24
inch: 25.4 mm

Calculated

diameter: 0.510559 mm
area: 0.20473 mm^2

Assumptions and limits

AWG geometric diameter relationship; not an ampacity table.

The requirement checks use the limits written in this example. Passing a check does not establish that the model covers every load, material behavior, or operating condition in a real design.

Download this .napkin example ↓

Take it further with your agent

Napkin keeps the inputs, equations, checks and assumptions together in one study. Your agent sets it up; you change the numbers.

Try with Claude ↗

codex 'Use Napkin (https://napkin.engineering/mcp, or the local Napkin plugin) to build a study: Wire gauge and conductor area. Inputs: AWG or diameter/area; solid or stranded convention. Outputs: equivalent nominal area; resistance per length. Model scope: Conductor geometry and sourced installation/component limits. Read napkin_capabilities and the current snapshot. Ask me for the values that matter, label assumptions with units, author .napkin source, validate it and apply it with napkin_source using the current revision, then open the study. Add checks for the limits I supply. Keep unsupported analyses explicit.'

Claude needs the Napkin connector; Codex needs the Napkin plugin. Set up your agent ↗

The broader study

The topic brief below describes the broader scope. The worked example above states the particular calculation it implements.

Inputs: AWG or diameter/area, solid or stranded convention
Outputs: equivalent nominal area, resistance per length
Modes: calculate, compare, sweep
Drawing: Harness and voltage-drop diagram

EXECUTABLE WORKED EXAMPLE · FIRST-ORDER MODEL · CHECK THE SCOPE & ASSUMPTIONS