{
  "id": "awg-wire-size",
  "slug": "awg-wire-size-calculator",
  "url": "https://electronics.tools/tools/awg-wire-size-calculator/",
  "name": "AWG Wire Size Calculator",
  "group": "pcb-wire",
  "summary": "d = 0.127 × 92^((36−n)/39) mm. AWG 10 is 2.588 mm / 5.261 mm².",
  "formulas": [
    {
      "id": "diameter",
      "label": "ASTM B258 diameter",
      "plain": "d(mm) = 0.127 × 92^((36−n)/39)",
      "mathml": "<math display=\"block\" xmlns=\"http://www.w3.org/1998/Math/MathML\" aria-label=\"d(mm) = 0.127 × 92^((36−n)/39)\"><mrow><mi>d</mi><mo>=</mo><mn>0.127</mn><mo>×</mo><msup><mn>92</mn><mrow><mrow><mo>(</mo><mrow><mn>36</mn><mo>-</mo><mi>n</mi></mrow><mo>)</mo></mrow><mo>/</mo><mn>39</mn></mrow></msup></mrow></math>",
      "symbols": [
        "d",
        "n"
      ],
      "sources": [
        "astm"
      ]
    }
  ],
  "variables": [
    {
      "symbol": "n",
      "name": "AWG",
      "unit": "AWG",
      "role": "input",
      "precision": {
        "sig": 4
      },
      "default": 10,
      "urlParam": "awg"
    },
    {
      "symbol": "Amm",
      "name": "Area (optional)",
      "unit": "mm²",
      "role": "input",
      "precision": {
        "sig": 4
      },
      "default": "",
      "urlParam": "mm2"
    },
    {
      "symbol": "d",
      "name": "Diameter",
      "unit": "mm",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "A",
      "name": "Cross-section",
      "unit": "mm²",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "cmil",
      "name": "Circular mils",
      "unit": "cmil",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "nlabel",
      "name": "AWG label",
      "unit": "1",
      "role": "output",
      "precision": {
        "sig": 4
      }
    },
    {
      "symbol": "nnear",
      "name": "Nearest integer AWG",
      "unit": "AWG",
      "role": "output",
      "precision": {
        "decimals": 0
      }
    },
    {
      "symbol": "ncommon",
      "name": "Common stock AWG",
      "unit": "AWG",
      "role": "output",
      "precision": {
        "decimals": 0
      }
    }
  ],
  "examples": [
    {
      "id": "awg-10",
      "title": "AWG 10",
      "input": [
        {
          "symbol": "n",
          "value": 10,
          "unit": "AWG",
          "display": "10 AWG"
        }
      ],
      "output": [
        {
          "symbol": "d",
          "value": 2.5881867280128636,
          "unit": "mm",
          "display": "2.588 mm"
        },
        {
          "symbol": "A",
          "value": 5.261154954510373,
          "unit": "mm²",
          "display": "5.261 mm²"
        },
        {
          "symbol": "cmil",
          "value": 10383.0221015902,
          "unit": "cmil",
          "display": "1.038e4 cmil"
        }
      ],
      "computedBy": "awgWireSize"
    },
    {
      "id": "awg-22",
      "title": "AWG 22",
      "input": [
        {
          "symbol": "n",
          "value": 22,
          "unit": "AWG",
          "display": "22 AWG"
        }
      ],
      "output": [
        {
          "symbol": "d",
          "value": 0.6438032984904795,
          "unit": "mm",
          "display": "0.6438 mm"
        },
        {
          "symbol": "A",
          "value": 0.3255339412454668,
          "unit": "mm²",
          "display": "0.3255 mm²"
        }
      ],
      "computedBy": "awgWireSize"
    },
    {
      "id": "mm2-2p5",
      "title": "2.5 mm²",
      "input": [
        {
          "symbol": "Amm",
          "value": 2.5,
          "unit": "mm²",
          "display": "2.5 mm²"
        }
      ],
      "output": [
        {
          "symbol": "nlabel",
          "value": "13.21",
          "unit": "1",
          "display": "13.21"
        },
        {
          "symbol": "nnear",
          "value": 13,
          "unit": "AWG",
          "display": "13 AWG"
        },
        {
          "symbol": "ncommon",
          "value": 12,
          "unit": "AWG",
          "display": "12 AWG"
        }
      ],
      "computedBy": "awgWireSize"
    }
  ],
  "sources": [
    {
      "title": "ASTM B258 Standard Specification for Standard Nominal Diameters and Cross-Sectional Areas of AWG Sizes of Solid Round Wires Used as Electrical Conductors",
      "url": "https://www.astm.org/b0258-18.html",
      "retrieved": "2026-11-02",
      "standard": "ASTM B258"
    }
  ],
  "datePublished": "2026-11-02T00:00:00+08:00",
  "dateModified": "2026-11-02T00:00:00+08:00",
  "author": {
    "name": "Jasper",
    "url": "https://electronics.tools/about/#jasper"
  },
  "relatedTools": [
    "https://electronics.tools/tools/pcb-trace-width-calculator/",
    "https://electronics.tools/tools/ohms-law-calculator/"
  ]
}