{"id":55854,"date":"2015-11-06T12:37:40","date_gmt":"2015-11-06T10:37:40","guid":{"rendered":"http:\/\/wpcalc.com\/?p=55854"},"modified":"2026-09-28T09:28:22","modified_gmt":"2026-09-28T06:28:22","slug":"magnetomotive-force","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/converters\/magnetomotive-force\/","title":{"rendered":"Magnetomotive Force 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 Magnetomotive Force Between Units<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"55854\" data-favorite-title=\"Magnetomotive Force\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/converters\/magnetomotive-force\/\" data-favorite-excerpt=\"Convert magnetomotive force between ampere-turns, kiloampere-turns, milliampere-turns, and gilberts. Enter an MMF value, then choose the units to convert from and to.\" 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\/magnetomotive-force\/\" method=\"POST\" class=\"calculator\" id=\"calculator-55854\" data-post=\"55854\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">MMF value<\/label><input type=\"text\" name=\"mmf_value\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"100\"\/><div class=\"unit\" id=\"calc-unit-1\"><\/div><small id=\"calc-info-1\">Enter the magnetomotive force 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\u00b7turn\">Ampere-turn (A\u00b7turn)<\/option><option value=\"kA\u00b7turn\">Kiloampere-turn (kA\u00b7turn)<\/option><option value=\"mA\u00b7turn\">Milliampere-turn (mA\u00b7turn)<\/option><option value=\"gilbert\">Gilbert (Gb)<\/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\u00b7turn\">Ampere-turn (A\u00b7turn)<\/option><option value=\"kA\u00b7turn\">Kiloampere-turn (kA\u00b7turn)<\/option><option value=\"mA\u00b7turn\">Milliampere-turn (mA\u00b7turn)<\/option><option value=\"gilbert\">Gilbert (Gb)<\/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=\"55854\">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 MMF<\/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=\"55854\" 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>Magnetomotive Force 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\\[F_{\\mathrm{to}}=F_{\\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>\\(F_{\\mathrm{from}}\\) \u2014 the entered magnetomotive force (MMF).<\/li>\n<li>\\(F_{\\mathrm{to}}\\) \u2014 the MMF expressed in the selected destination unit.<\/li>\n<li>\\(f_{\\mathrm{from}}\\) and \\(f_{\\mathrm{to}}\\) \u2014 the conversion factors from each unit to ampere-turns (A\u00b7turn).<\/li>\n<\/ul>\n<p>The calculator first expresses the entered value in ampere-turns, then divides by the destination unit\u2019s factor. It uses factors of 1 for A\u00b7turn, 1,000 for kA\u00b7turn, 0.001 for mA\u00b7turn, and 0.7957747 for the gilbert.<\/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>Magnetomotive Force \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> convert the default value of 100 A\u00b7turn to gilberts (Gb).<\/p>\n<p>\\[100\\ \\mathrm{A\\cdot turn}\\times\\frac{1}{0.7957747}\\approx125.66371\\ \\mathrm{Gb}\\]<\/p>\n<p><strong>Result:<\/strong> 100 A\u00b7turn is approximately 125.66371 Gb.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Enter the amount to convert in <strong>MMF value<\/strong>. The default is 100, and the field accepts nonnegative values.<\/li>\n<li>Choose the unit of that amount under <strong>From unit<\/strong>. The default is Ampere-turn (A\u00b7turn).<\/li>\n<li>Choose the desired unit under <strong>To unit<\/strong>. The default is Gilbert (Gb).<\/li>\n<li>Read <strong>Converted MMF<\/strong>. The number and destination unit appear together.<\/li>\n<\/ol>\n<p>You can also choose the same unit in both menus to leave the numerical value unchanged. To reverse a conversion, swap the selections in <strong>From unit<\/strong> and <strong>To unit<\/strong>.<\/p>\n<h2>What magnetomotive force means<\/h2>\n<p>Magnetomotive force is the quantity that drives magnetic flux around a magnetic circuit. It plays a role similar to voltage in an electric circuit, but it is not a mechanical force measured in newtons. In a coil, MMF is the current multiplied by the number of turns: \\(\\mathcal{F}=NI\\), where \\(N\\) is the number of turns and \\(I\\) is the current in amperes. A 100-turn coil carrying 1 A therefore produces an MMF of 100 A\u00b7turn.<\/p>\n<p>MMF is useful when analyzing transformers, electromagnets, motors, generators, and magnetic cores. It helps relate a winding\u2019s excitation to the flux that may be established in a magnetic path. That relationship also depends on the path\u2019s geometry and material: knowing MMF alone does not determine flux or flux density. For those quantities, 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> when you need to change their units.<\/p>\n<p>A conversion changes only the unit used to express an MMF; it does not change the underlying excitation. Ampere-turn is the usual expression in SI-based magnetic calculations. The gilbert belongs to the CGS electromagnetic system and may appear in older references or specifications. Check the unit system of any equation before substituting a converted value.<\/p>\n<h2>Supported units and conversion factors<\/h2>\n<p>Each factor below states how many ampere-turns correspond to one unit. Multiply a value by its factor to express it in A\u00b7turn; divide an A\u00b7turn value by the factor to express it in that unit.<\/p>\n<table>\n<thead>\n<tr>\n<th>Unit<\/th>\n<th>Symbol<\/th>\n<th>Value in A\u00b7turn<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Ampere-turn<\/td>\n<td>A\u00b7turn<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>Kiloampere-turn<\/td>\n<td>kA\u00b7turn<\/td>\n<td>1,000<\/td>\n<\/tr>\n<tr>\n<td>Milliampere-turn<\/td>\n<td>mA\u00b7turn<\/td>\n<td>0.001<\/td>\n<\/tr>\n<tr>\n<td>Gilbert<\/td>\n<td>Gb<\/td>\n<td>Approximately 0.7957747<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>For example, 1 kA\u00b7turn equals 1,000 A\u00b7turn, while 1 A\u00b7turn equals 1,000 mA\u00b7turn. The gilbert factor is approximate; using a more precise factor can produce a slightly different final decimal.<\/p>\n<h2>Assumptions and practical tips<\/h2>\n<p>The converter treats the number entered under <strong>MMF value<\/strong> as an already-known MMF. It does not calculate MMF from coil current and turns, nor does it account for the shape, length, or permeability of a magnetic path. If you start with a winding specification, calculate \\(NI\\) first; an <a href=\"https:\/\/wpcalc.com\/en\/converters\/electric-current\/\">Electric Current converter<\/a> can help put the current in amperes.<\/p>\n<p>The displayed result is rounded to eight decimal places. If you work with a very small value, check whether rounding hides significant digits before using the displayed number in a later calculation. For magnetic-circuit work, keep MMF distinct from magnetic flux, flux density, and <a href=\"https:\/\/wpcalc.com\/en\/converters\/permeability\/\">permeability<\/a>: they describe related but different properties and cannot be interchanged by a unit conversion.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert magnetomotive force between ampere-turns, kiloampere-turns, milliampere-turns, and gilberts. Enter an MMF value, then choose the units to convert from and to.<\/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-55854","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\/55854","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=55854"}],"version-history":[{"count":3,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55854\/revisions"}],"predecessor-version":[{"id":65291,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55854\/revisions\/65291"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=55854"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=55854"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=55854"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}