{"id":55860,"date":"2015-10-24T16:03:22","date_gmt":"2015-10-24T14:03:22","guid":{"rendered":"http:\/\/wpcalc.com\/?p=55860"},"modified":"2026-09-28T09:26:32","modified_gmt":"2026-09-28T06:26:32","slug":"linear-current-density","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/converters\/linear-current-density\/","title":{"rendered":"Linear Current Density Converter"},"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\">Convert Linear Current Density Between Units<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"55860\" data-favorite-title=\"Linear Current Density\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/converters\/linear-current-density\/\" data-favorite-excerpt=\"Convert linear current density between A\/m, kA\/m, A\/cm, mA\/mm, and \u00b5A\/\u00b5m. Enter a value and select its original and target units.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-physic\">\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\/converters\/linear-current-density\/\" method=\"POST\" class=\"calculator\" id=\"calculator-55860\" data-post=\"55860\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Current density value<\/label><input type=\"text\" name=\"current_density_value\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><div class=\"unit\" id=\"calc-unit-1\"><\/div><small id=\"calc-info-1\">Enter the linear current density value to convert<\/small><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">From unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"from_unit\"><option value=\"A\/m\">Ampere per meter (A\/m)<\/option><option value=\"kA\/m\">Kiloampere per meter (kA\/m)<\/option><option value=\"A\/cm\">Ampere per centimeter (A\/cm)<\/option><option value=\"mA\/mm\">Milliampere per millimeter (mA\/mm)<\/option><option value=\"\u00b5A\/\u00b5m\">Microampere per micrometer (\u00b5A\/\u00b5m)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-3\"><label for=\"field-3\">To unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"to_unit\"><option value=\"A\/m\">Ampere per meter (A\/m)<\/option><option value=\"kA\/m\">Kiloampere per meter (kA\/m)<\/option><option value=\"A\/cm\">Ampere per centimeter (A\/cm)<\/option><option value=\"mA\/mm\">Milliampere per millimeter (mA\/mm)<\/option><option value=\"\u00b5A\/\u00b5m\">Microampere per micrometer (\u00b5A\/\u00b5m)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"55860\">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>Converted Linear Current Density<\/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=\"55860\" 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\">0<\/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\">0<\/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\">0<\/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>Linear Current Density 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\\[K_{\\mathrm{to}}=K_{\\mathrm{from}}\\frac{f_{\\mathrm{from}}}{f_{\\mathrm{to}}}\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(K_{\\mathrm{from}}\\) \u2014 value in the original unit<\/li>\n<li>\\(K_{\\mathrm{to}}\\) \u2014 value in the target unit<\/li>\n<li>\\(f_{\\mathrm{from}}\\) and \\(f_{\\mathrm{to}}\\) \u2014 the number of amperes per meter represented by one original or target unit, respectively<\/li>\n<\/ul>\n<p>Convert the original value to A\/m, then divide by the A\/m equivalent of the target unit. The conversion factors must represent the units as defined; see the warning below about two factors currently used by this calculator.<\/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>Linear Current Density \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> convert the default value of 5 A\/m to A\/cm. Because 1 A\/cm equals 100 A\/m, divide by 100.<\/p>\n<p>\\[5\\ \\mathrm{A\/m}\\times\\frac{1\\ \\mathrm{A\/cm}}{100\\ \\mathrm{A\/m}}=0.05\\ \\mathrm{A\/cm}\\]<\/p>\n<p><strong>Result:<\/strong> 5 A\/m = 0.05 A\/cm.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Enter a nonnegative number in <strong>Current density value<\/strong>. The default is 5.<\/li>\n<li>Choose the value\u2019s existing unit in <strong>From unit<\/strong>.<\/li>\n<li>Choose the unit you want in <strong>To unit<\/strong>.<\/li>\n<li>Read <strong>Converted Linear Current Density<\/strong>, which includes the selected target unit. The displayed number is rounded to eight decimal places.<\/li>\n<\/ol>\n<p>The default selection converts A\/m to A\/cm. Before relying on any other selection, read the unit-factor warning in the practical notes: the current calculator code does not convert mA\/mm or \u00b5A\/\u00b5m correctly when the other unit differs.<\/p>\n<h2>What linear current density means<\/h2>\n<p>Linear current density describes electric current per unit length, rather than current alone. For example, if current is distributed uniformly across the width of an idealized conducting sheet, dividing the total current by that width gives a value in A\/m. The quantity can also arise when describing an equivalent surface current in electromagnetic models. Its meaning depends on what length is being measured, so the physical setup matters as much as the unit.<\/p>\n<p>A value of 5 A\/m means five amperes for each meter of the specified width or length in that model; it does not mean that a particular wire necessarily carries five amperes. You need the relevant dimension and a suitable distribution assumption to infer a total current. If you need to change the units of current itself, use the <a href=\"https:\/\/wpcalc.com\/en\/converters\/electric-current\/\">Electric Current converter<\/a>.<\/p>\n<p>Linear current density is not the same as current density through a cross-sectional area, which has units of A\/m\u00b2. It also has the same units as magnetic field strength, but sharing units does not make the two quantities interchangeable. In electromagnetic work, other quantities may need separate conversions: use the <a href=\"https:\/\/wpcalc.com\/en\/converters\/magnetic-flux-density\/\">Magnetic Flux Density converter<\/a> for magnetic flux density and the <a href=\"https:\/\/wpcalc.com\/en\/converters\/magnetomotive-force\/\">Magnetomotive Force converter<\/a> for magnetomotive force.<\/p>\n<h2>Unit factors and practical limitations<\/h2>\n<p>For a physically correct conversion, use these A\/m equivalents. Each factor is the number of A\/m in one unit of the left-hand column.<\/p>\n<table>\n<thead>\n<tr>\n<th>Unit<\/th>\n<th>Equivalent in A\/m<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1 A\/m<\/td>\n<td>1 A\/m<\/td>\n<\/tr>\n<tr>\n<td>1 kA\/m<\/td>\n<td>1,000 A\/m<\/td>\n<\/tr>\n<tr>\n<td>1 A\/cm<\/td>\n<td>100 A\/m<\/td>\n<\/tr>\n<tr>\n<td>1 mA\/mm<\/td>\n<td>1 A\/m<\/td>\n<\/tr>\n<tr>\n<td>1 \u00b5A\/\u00b5m<\/td>\n<td>1 A\/m<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Important:<\/strong> the calculator code currently assigns mA\/mm a factor of 1,000 and \u00b5A\/\u00b5m a factor of 1,000,000. Both should have a factor of 1. Consequently, its displayed results are incorrect when converting either of those units to or from a different unit. Conversions between A\/m, kA\/m, and A\/cm use the correct factors. Selecting the same unit for both fields also returns the entered value.<\/p>\n<p>A quick check is that 1 A\/m = 1 mA\/mm = 1 \u00b5A\/\u00b5m: the current and the length shrink by the same factor in each expression. For example, 5 A\/m should convert to 5 mA\/mm, not 0.005 mA\/mm. Until the calculator\u2019s factors are corrected, use the table and formula above for conversions involving mA\/mm or \u00b5A\/\u00b5m.<\/p>\n<p>Unit conversion only changes how a value is expressed; it cannot verify the underlying measurement, the chosen length, or whether a uniform distribution is appropriate. Very small converted values may display as zero because the result is rounded to eight decimal places. Keep more precision in intermediate calculations if a tiny difference matters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert linear current density between A\/m, kA\/m, A\/cm, mA\/mm, and \u00b5A\/\u00b5m. Enter a value and select its original and target units.<\/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":[3],"tags":[34],"class_list":["post-55860","post","type-post","status-publish","format-standard","hentry","category-converters","tag-physics-units"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55860","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=55860"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55860\/revisions"}],"predecessor-version":[{"id":65286,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55860\/revisions\/65286"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=55860"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=55860"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=55860"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}