{"id":55862,"date":"2015-10-24T16:03:21","date_gmt":"2015-10-24T14:03:21","guid":{"rendered":"http:\/\/wpcalc.com\/?p=55862"},"modified":"2026-09-28T09:31:56","modified_gmt":"2026-09-28T06:31:56","slug":"permeability","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/converters\/permeability\/","title":{"rendered":"Permeability 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 Magnetic Permeability Between Units<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"55862\" data-favorite-title=\"Permeability\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/converters\/permeability\/\" data-favorite-excerpt=\"Convert a magnetic permeability value between H\/m, N\/A\u00b2, G\u00b7cm\/Oe, and \u03bc\u2080 using the calculator\u2019s stated factors. Enter a value, then choose the From unit and To unit; see the notes below before using the \u03bc\u2080 or G\u00b7cm\/Oe results.\" 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\/permeability\/\" method=\"POST\" class=\"calculator\" id=\"calculator-55862\" data-post=\"55862\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Permeability value<\/label><input type=\"text\" name=\"permeability_value\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"1.2566E-6\"\/><div class=\"unit\" id=\"calc-unit-1\"><\/div><small id=\"calc-info-1\">Enter the magnetic permeability 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=\"H\/m\">Henry per meter (H\/m)<\/option><option value=\"N\/A\u00b2\">Newton per ampere squared (N\/A\u00b2)<\/option><option value=\"G\u00b7cm\/Oe\">Gauss\u00b7centimeter per oersted (G\u00b7cm\/Oe)<\/option><option value=\"\u03bc\u2080\">Relative to vacuum permeability (\u03bc\u2080 = 4\u03c0\u00d710\u207b\u2077 H\/m)<\/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=\"H\/m\">Henry per meter (H\/m)<\/option><option value=\"N\/A\u00b2\">Newton per ampere squared (N\/A\u00b2)<\/option><option value=\"G\u00b7cm\/Oe\">Gauss\u00b7centimeter per oersted (G\u00b7cm\/Oe)<\/option><option value=\"\u03bc\u2080\">Relative to vacuum permeability (\u03bc\u2080)<\/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=\"55862\">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 Permeability<\/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=\"55862\" 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>Magnetic Permeability Conversion 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\\[\\begin{aligned}\n\\text{Converted value}&amp;=v\\frac{F_{\\mathrm{from}}}{F_{\\mathrm{to}}}\\\\\nF_{\\mathrm{H\/m}}&amp;=F_{\\mathrm{N\/A^2}}=1\\\\\nF_{\\mathrm{G\\cdot cm\/Oe}}&amp;=\\frac{10^{-3}}{\\mu_0}\\\\\nF_{\\mu_0}&amp;=\\frac{1}{\\mu_0},\\qquad \\mu_0=4\\pi\\times10^{-7}\\ \\mathrm{H\/m}\n\\end{aligned}\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(v\\) \u2014 the entered Permeability value.<\/li>\n<li>\\(F_{\\mathrm{from}}\\) and \\(F_{\\mathrm{to}}\\) \u2014 the factors assigned to the selected units by this calculator.<\/li>\n<li>\\(\\mu_0\\) \u2014 the reference vacuum permeability used in the calculation.<\/li>\n<\/ul>\n<p>This formula describes the calculator\u2019s implemented arithmetic. Its factors for \u03bc\u2080 and G\u00b7cm\/Oe do not give reliable physical permeability conversions; see the limitations below.<\/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>Magnetic Permeability \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> use the default Permeability value of 0.0000012566, with H\/m as the From unit and \u03bc\u2080 as the To unit.<\/p>\n<p>\\[0.0000012566\\times\\frac{1}{1\/\\mu_0}=0.0000012566\\times(4\\pi\\times10^{-7})\\approx1.57909\\times10^{-12}\\]<\/p>\n<p><strong>Result:<\/strong> the calculator displays 0 \u03bc\u2080 because it rounds the calculated number to 10 decimal places. This is not the physically correct value relative to vacuum: \\(0.0000012566\\ \\mathrm{H\/m}\\div\\mu_0\\approx0.9999705\\).<\/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>Permeability value<\/strong>. Interpret it in the unit you will select next.<\/li>\n<li>Choose the value\u2019s current unit in <strong>From unit<\/strong>.<\/li>\n<li>Choose the requested unit in <strong>To unit<\/strong>.<\/li>\n<li>Read <strong>Converted Permeability<\/strong>, including its unit label. For dependable unit equivalence, use H\/m and N\/A\u00b2; check the limitations before relying on either other option.<\/li>\n<\/ol>\n<p>H\/m and N\/A\u00b2 are equivalent SI expressions, so converting between them leaves the numerical value unchanged. For example, 0.0000012566 H\/m equals 0.0000012566 N\/A\u00b2. Selecting the same From unit and To unit also leaves the entered number unchanged.<\/p>\n<h2>What magnetic permeability means<\/h2>\n<p>Magnetic permeability, usually written \\(\\mu\\), relates magnetic flux density \\(B\\) to magnetic field strength \\(H\\). In a linear, isotropic material, \\(B=\\mu H\\). Permeability indicates how strongly a material responds to an applied magnetic field under those conditions. It is used when analyzing magnetic circuits, inductors, transformers, and other electromagnetic systems.<\/p>\n<p>Absolute permeability has SI units of henries per meter (H\/m), which are equivalent to newtons per ampere squared (N\/A\u00b2). Relative permeability, \\(\\mu_r\\), is different: it is the dimensionless ratio \\(\\mu\/\\mu_0\\). A result of approximately 1 for \\(\\mu_r\\) means the material\u2019s permeability is approximately the reference vacuum value. The reference used here is \\(\\mu_0=4\\pi\\times10^{-7}\\ \\mathrm{H\/m}\\).<\/p>\n<p>Permeability is not interchangeable with magnetic flux or magnetic flux density. If you need those quantities rather than a permeability unit change, use the <a href=\"https:\/\/wpcalc.com\/en\/converters\/magnetic-flux\/\">Magnetic Flux Converter<\/a> or <a href=\"https:\/\/wpcalc.com\/en\/converters\/magnetic-flux-density\/\">Magnetic Flux Density Converter<\/a>. The <a href=\"https:\/\/wpcalc.com\/en\/converters\/magnetomotive-force\/\">Magnetomotive Force Converter<\/a> covers another quantity used in magnetic-circuit calculations.<\/p>\n<h2>Assumptions and important limitations<\/h2>\n<p><strong>The \u03bc\u2080 option is implemented in the wrong direction for a physical relative-permeability conversion.<\/strong> To find a dimensionless value relative to vacuum from an H\/m value, divide by \\(\\mu_0\\): \\(\\mu_r=\\mu\/\\mu_0\\). To convert that dimensionless value back to H\/m, multiply by \\(\\mu_0\\). The calculator does the reverse in these two cases. Its default H\/m-to-\u03bc\u2080 result also rounds a very small calculated number to zero; zero should not be interpreted as zero physical permeability.<\/p>\n<p><strong>Do not treat the G\u00b7cm\/Oe option as a verified permeability-unit conversion.<\/strong> The calculator assigns it the numerical factor \\(10^{-3}\/\\mu_0\\), but G\u00b7cm\/Oe is not directly interchangeable with H\/m through that factor as a general physical unit conversion. Check the definitions, unit convention, and source of any value taken from older magnetic-material data before comparing it with SI permeability.<\/p>\n<p>The relation \\(B=\\mu H\\) with one fixed \\(\\mu\\) assumes an appropriate linear-material model. Permeability can vary with field strength, frequency, temperature, and measurement direction; ferromagnetic materials may also show hysteresis. A unit conversion does not account for those effects. When working with alternating fields, keep the measurement frequency alongside the permeability value; the <a href=\"https:\/\/wpcalc.com\/en\/converters\/frequency\/\">Frequency Converter<\/a> can help standardize that separate quantity.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert a magnetic permeability value between H\/m, N\/A\u00b2, G\u00b7cm\/Oe, and \u03bc\u2080 using the calculator\u2019s stated factors. Enter a value, then choose the From unit and To unit; see the notes below before using the \u03bc\u2080 or G\u00b7cm\/Oe results.<\/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-55862","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\/55862","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=55862"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55862\/revisions"}],"predecessor-version":[{"id":65301,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55862\/revisions\/65301"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=55862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=55862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=55862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}