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Engineering Calculator · 113

AWG & Bare Conductor Size Converter

Convert AWG to nominal bare solid-wire diameter and metal area, or find the equivalent AWG index from known conductor geometry.

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Live calculation

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Results

Equivalent bare solid-wire diameter1.023687mm
Conductor metal area0.823047mm²
Circular mil area1,624.304cmil
Equivalent AWG index18index
Nearest AWG size18AWG

Formula
d=0.127⋅92(36−n)/39d=0.127\cdot92^{(36-n)/39}A=πd24A=\frac{\pi d^2}{4}n=36−39ln⁡(d/0.127)ln⁡92n=36-39\frac{\ln(d/0.127)}{\ln92}

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Direct answer

What this result means

AWG follows a geometric diameter series: AWG 36 has a nominal diameter of 0.127 mm and AWG 4/0 has 11.684 mm. Select AWG, bare diameter or metal area as the known value. Results describe bare conductor geometry; gland selection still requires the actual finished cable diameter.

AWG & Bare Conductor Size Converter engineering relationship diagramThe AWG diameter series uses n = 0 for 1/0, −1 for 2/0, −2 for 3/0 and −3 for 4/0. Reverse conversion gives a fractional equivalent index; the nearest size rounds that index rather than selecting a code-compliant conductor. The drawing separates bare metal diameter from an illustrative outer jacket. This dedicated schematic represents awg bare metal and jacket and is not to scale.Bare metal dJacket variesMetal area ABARE CONDUCTOR GEOMETRY · TOOL 113Known conductor quantityEquivalent bare solid-wire…
Calculator-specific engineering relationship diagram — schematic, not a product drawing, and not to scale.

Formula & theory

Make the assumptions visible.

The AWG diameter series uses n = 0 for 1/0, −1 for 2/0, −2 for 3/0 and −3 for 4/0. Reverse conversion gives a fractional equivalent index; the nearest size rounds that index rather than selecting a code-compliant conductor. The drawing separates bare metal diameter from an illustrative outer jacket.

Calculation relationship
d=0.127⋅92(36−n)/39d=0.127\cdot92^{(36-n)/39}A=πd24A=\frac{\pi d^2}{4}n=36−39ln⁡(d/0.127)ln⁡92n=36-39\frac{\ln(d/0.127)}{\ln92}

The AWG diameter series uses n = 0 for 1/0, −1 for 2/0, −2 for 3/0 and −3 for 4/0. Reverse conversion gives a fractional equivalent index; the nearest size rounds that index rather than selecting a code-compliant conductor. The drawing separates bare metal diameter from an illustrative outer jacket.

Variables

Use sequence

From measurement to review

  1. Choose AWG, bare solid-wire diameter or conductor metal area as the known quantity.
  2. Enter a size within the 4/0–40 AWG range and review the unrounded equivalent index alongside the nearest size.
  3. Use the cable manufacturer’s finished outside diameter for gland selection, and verify conductor ratings separately.

Limits

What this calculation does not confirm

  • The diameter equation describes nominal bare round solid wire. A stranded conductor’s physical envelope includes strand arrangement and voids.
  • Nearest AWG is only a numerical comparison. Metric nominal areas and AWG designations are not automatically interchangeable product specifications.
  • Insulation thickness, cable outside diameter, ampacity, voltage drop and terminal acceptance require separate product and installation information.

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Calculator FAQ

Use the number without losing the engineering context.

These answers clarify what the tool calculates and where a product-specific review still begins.

01Calculator guidanceHow are 1/0, 2/0, 3/0 and 4/0 represented?

The AWG equation uses indices 0, −1, −2 and −3 respectively. The nearest-size result displays the familiar 1/0 through 4/0 names, while the equivalent-index result remains numeric for reverse-conversion comparisons.

02Calculator guidanceCan I use the converted bare diameter as my gland cable range?

No. The gland seals around the actual cable jacket or the specified sealing surface. Insulation, shielding, bedding, armour and jacket construction change the finished diameter; obtain that diameter and its tolerance from the cable data.

03Calculator guidanceDoes the nearest AWG establish ampacity or a stranded-wire diameter?

Neither. Ampacity depends on conductor, insulation and installation conditions. A stranded bundle has a construction-dependent envelope; its metal area may be converted to an equivalent solid diameter without predicting that envelope.

Product selection support

Connect the calculation with cable-entry product options.

Bepto Cable Glands can help relate a preliminary result to the product family and current model information for your application. You can start with the details you have; a complete drawing package is not needed to ask a question.

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