{"id":64534,"date":"2025-05-12T10:09:03","date_gmt":"2025-05-12T07:09:03","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=64534"},"modified":"2026-09-30T18:45:55","modified_gmt":"2026-09-30T15:45:55","slug":"wire-gauge","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/wire-gauge\/","title":{"rendered":"Wire Gauge Calculator"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">AWG Size from Wire Diameter Estimator<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"64534\" data-favorite-title=\"Wire Gauge\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/wire-gauge\/\" data-favorite-excerpt=\"Enter a wire&#039;s diameter in millimeters and get the corresponding American Wire Gauge (AWG) size, computed with a logarithmic approximation of the AWG scale. Includes a worked example and a standard AWG reference table.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-electrical\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/engineering\/wire-gauge\/\" method=\"POST\" class=\"calculator\" id=\"calculator-64534\" data-post=\"64534\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Wire Diameter<\/label><div class=\"term\">d<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"wire_diameter\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0.01\" value=\"1\"\/><div class=\"unit\" id=\"calc-unit-1\">mm<\/div><small id=\"calc-info-1\">Diameter of the wire in millimeters<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"64534\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Estimated AWG<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"64534\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">1<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">2<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">3<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Wire Gauge Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\text{AWG} = -10 - 20 \\cdot \\log_{10}(d) \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(\\text{AWG}\\) \u2014 estimated American Wire Gauge number (a continuous value)<\/li>\n<li>\\(d\\) \u2014 wire diameter in millimeters<\/li>\n<\/ul>\n<p>This is the logarithmic fit the calculator uses for the AWG scale. Because \\(20 \\log_{10}(2) \\approx 6.02\\), doubling the wire diameter shifts the result by about six gauge steps, which mirrors the geometric spacing of the real AWG series. The output is a continuous estimate that must be rounded to the nearest standard gauge.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Wire Gauge \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a round wire measures 1 mm in diameter (the calculator's default value).<\/p>\n<p>\\[ \\text{AWG} = -10 - 20 \\cdot \\log_{10}(1) = -10 - 20 \\cdot 0 = -10.00 \\]<\/p>\n<p><strong>Result:<\/strong> \\(-10.00\\). This is a continuous point on the logarithmic gauge scale rather than a stocked size; round it to the nearest standard AWG size and confirm the choice against the reference table below or the manufacturer's datasheet.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Wire Gauge Calculator<\/h2>\n<ol>\n<li>Measure the diameter of the <strong>bare conductor<\/strong> with a caliper or micrometer \u2014 do not include the insulation.<\/li>\n<li>Type the value in millimeters into the <strong>Wire Diameter<\/strong> field (the default is 1 mm).<\/li>\n<li>Read the <strong>Estimated AWG<\/strong> result, which updates automatically as you type.<\/li>\n<li>Round the continuous result to the nearest standard gauge and verify it against the reference table below before ordering wire.<\/li>\n<\/ol>\n<h2>What Is Wire Gauge (AWG)?<\/h2>\n<p>American Wire Gauge (AWG), also known as the Brown &amp; Sharpe gauge, is the standard system for specifying the sizes of round, solid, non-ferrous conductors in North America. The scale is counterintuitive at first: a <em>larger<\/em> gauge number means a <em>thinner<\/em> wire. It runs from 4\/0 (0000) at 11.684 mm down to 40 AWG at 0.0799 mm, with sizes above 4\/0 specified in thousand circular mils (kcmil) instead of gauge numbers.<\/p>\n<p>The defining feature of AWG is that it is geometric rather than linear. Each gauge step changes the diameter by a factor of about 1.123, so the diameter halves roughly every 6 gauges, the cross-sectional area halves every 3 gauges, and ten gauge steps reduce the area to one tenth. This is exactly the behavior the calculator's logarithmic formula encodes: \\(20 \\log_{10}(2) \\approx 6.02\\), so doubling the diameter moves the result by about six gauge numbers.<\/p>\n<p>Gauge matters because a conductor's cross-section determines its resistance per unit length, its voltage drop over a run, and how much current it can carry safely. Choosing the right gauge is therefore one of the first steps in wiring design, whether you are sizing household circuits, choosing hook-up wire for electronics, or selecting conductors for a coil or transformer winding.<\/p>\n<p>When interpreting the result, remember that the calculator returns a <em>continuous<\/em> value on the logarithmic scale. Real wires come only in discrete integer gauges (plus 2\/0, 3\/0 and 4\/0), and a non-integer or negative result simply means the exact diameter falls between or beyond stocked sizes \u2014 round to the nearest practical size and, for very thick conductors, consider the kcmil range used above 4\/0.<\/p>\n<h2>Standard AWG Reference Table<\/h2>\n<p>Use this table of official diameters (per ASTM B258) to cross-check the calculator's estimate and to pick the final stocked size.<\/p>\n<table>\n<thead>\n<tr>\n<th>AWG<\/th>\n<th>Diameter (mm)<\/th>\n<th>Diameter (in)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>4\/0 (0000)<\/td>\n<td>11.684<\/td>\n<td>0.4600<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>2.588<\/td>\n<td>0.1019<\/td>\n<\/tr>\n<tr>\n<td>12<\/td>\n<td>2.053<\/td>\n<td>0.0808<\/td>\n<\/tr>\n<tr>\n<td>14<\/td>\n<td>1.628<\/td>\n<td>0.0641<\/td>\n<\/tr>\n<tr>\n<td>16<\/td>\n<td>1.291<\/td>\n<td>0.0508<\/td>\n<\/tr>\n<tr>\n<td>18<\/td>\n<td>1.024<\/td>\n<td>0.0403<\/td>\n<\/tr>\n<tr>\n<td>20<\/td>\n<td>0.812<\/td>\n<td>0.0320<\/td>\n<\/tr>\n<tr>\n<td>22<\/td>\n<td>0.644<\/td>\n<td>0.0253<\/td>\n<\/tr>\n<tr>\n<td>24<\/td>\n<td>0.511<\/td>\n<td>0.0201<\/td>\n<\/tr>\n<tr>\n<td>30<\/td>\n<td>0.255<\/td>\n<td>0.0100<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Limitations and Practical Tips<\/h2>\n<ul>\n<li><strong>Continuous estimate.<\/strong> The formula yields a smooth value; actual AWG sizes are discrete integers, so always round and confirm against the table above or a manufacturer's datasheet.<\/li>\n<li><strong>Approximation, not a definition.<\/strong> The logarithmic fit reproduces the relative spacing of the AWG series but can drift from the official table, especially toward the extremes of the scale. For critical work, rely on the published diameters.<\/li>\n<li><strong>Measure the bare conductor.<\/strong> Insulation thickness varies between wire grades, so a measurement that includes it will read several gauges too thick.<\/li>\n<li><strong>Stranded wire.<\/strong> For stranded conductors, AWG refers to the total copper cross-section; the overall outside diameter is larger than that of a solid wire of the same gauge.<\/li>\n<li><strong>Gauge is not ampacity.<\/strong> Safe current limits also depend on insulation temperature rating, ambient temperature, conduit fill and bundling; follow the NEC or IEC rules for your installation rather than the gauge alone.<\/li>\n<li><strong>High-frequency and winding work.<\/strong> Beyond DC sizing, wire geometry affects behavior: see the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/straight-wire-inductor\/\">straight wire inductance calculator<\/a> for RF leads, the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/coil-physical-properties\/\">coil physical properties calculator<\/a> for windings, and the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/parallel-wire-impedance\/\">parallel wire impedance calculator<\/a> for transmission-line behavior.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Enter a wire's diameter in millimeters and get the corresponding American Wire Gauge (AWG) size, computed with a logarithmic approximation of the AWG scale. Includes a worked example and a standard AWG reference table.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[4],"tags":[21],"class_list":["post-64534","post","type-post","status-publish","format-standard","hentry","category-engineering","tag-electrical"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64534","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=64534"}],"version-history":[{"count":3,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64534\/revisions"}],"predecessor-version":[{"id":66032,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64534\/revisions\/66032"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=64534"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=64534"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=64534"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}