{"id":64510,"date":"2025-05-12T09:57:15","date_gmt":"2025-05-12T06:57:15","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=64510"},"modified":"2025-05-12T09:57:40","modified_gmt":"2025-05-12T06:57:40","slug":"coil-physical-properties","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/coil-physical-properties\/","title":{"rendered":"Physical Properties of Coil 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 class=\"text-lg font-display font-bold\">Coil Geometry and Material Properties Estimator<\/h2><\/div><div class=\"relative group inline-block\">\n  <button class=\"favorite\" id=\"favorite\" data-favorite-id=\"64510\" data-favorite-title=\"Physical Properties of Coil\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/coil-physical-properties\/\" data-favorite-excerpt=\"This calculator determines key physical characteristics of a coil, such as total wire length, weight, resistance, and turns per unit length, based on wire diameter, coil dimensions, and material type. It\u2019s useful for coil winding, transformer design, and inductive component prototyping.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-electrical\">\n    <span class=\"icon icon-shape-star-empty\"><\/span>\n  <\/button>\n  <div class=\"absolute right-full -translate-y-1\/2 top-1\/2 mr-2 w-max max-w-xs px-3 py-2 bg-gray-800 text-white text-xs rounded shadow-lg opacity-0 group-hover:opacity-100 transition-opacity duration-200 z-10 pointer-events-none\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/engineering\/coil-physical-properties\/\" method=\"POST\" class=\"calculator\" id=\"calculator-64510\" data-post=\"64510\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Number of turns<\/label><div class=\"term\">N<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"number_of_turns\" id=\"field-1\" min=\"1\" step=\"any\" value=\"100\"\/><small>Total number of turns<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Coil 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=\"number\" name=\"coil_diameter\" id=\"field-2\" min=\"0.1\" step=\"any\" value=\"20\"\/><div class=\"unit\">mm<\/div><small>Diameter of the coil (mean turn diameter)<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">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=\"number\" name=\"wire_diameter\" id=\"field-3\" min=\"0.01\" step=\"any\" value=\"0.5\"\/><div class=\"unit\">mm<\/div><small>Diameter of the wire<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"64510\">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>Wire Length<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"m\"><\/span><button class=\"copy-result\" data-tooltip=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Cross-sectional Area<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"mm\u00b2\"><\/span><button class=\"copy-result\" data-tooltip=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>Volume of Copper<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"cm\u00b3\"><\/span><button class=\"copy-result\" data-tooltip=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>Mass of Copper<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"g\"><\/span><button class=\"copy-result\" data-tooltip=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\"><\/span><\/button><\/div><\/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=\"64510\" aria-live=\"polite\"><h2 class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/h2><div class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button 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\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button 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\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button 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\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button 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\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button 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\">\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><ins class=\"adsbygoogle\"\n     style=\"display:block; text-align:center; margin: 32px 0;\"\n     data-ad-layout=\"in-article\"\n     data-ad-format=\"fluid\"\n     data-ad-client=\"ca-pub-1721569815777345\"\n     data-ad-slot=\"6317458308\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n<p><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>Physical Coil Formulas<\/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$$l = N \\cdot \\pi \\cdot D$$\n$$R = \\rho \\cdot \\frac{l}{A}$$\n$$m = l \\cdot \\gamma$$\n$$n = \\frac{N}{L}$$\n<\/div>\r\n\t<\/figure>\r\n\t<br \/>\n<strong>Where:<\/strong><\/p>\n<ul>\n<li>$$l$$ = total wire length (m)  <\/li>\n<li>$$N$$ = number of turns  <\/li>\n<li>$$D$$ = average diameter of the coil (m)  <\/li>\n<li>$$A$$ = cross-sectional area of wire (m\u00b2)  <\/li>\n<li>$$\\rho$$ = resistivity of conductor (\u03a9\u00b7m)  <\/li>\n<li>$$R$$ = wire resistance (\u03a9)  <\/li>\n<li>$$m$$ = wire mass (kg)  <\/li>\n<li>$$\\gamma$$ = density of conductor material (kg\/m)  <\/li>\n<li>$$n$$ = turns per meter  <\/li>\n<li>$$L$$ = length of the coil (m)<\/li>\n<\/ul>\n<p>\r\n<\/section><br \/>\n<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>Physical Properties of Coil \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<p>\n<strong>Given:<\/strong><\/p>\n<ul>\n<li>$$N$$ = 200 turns <\/li>\n<li>$$D$$ = 0.04 m  <\/li>\n<li>$$wire diameter d$$ = 0.5 mm = 0.0005 m  <\/li>\n<li>$$\\rho (copper)$$ = $$1.68 \u00d7 10^{-8} \u03a9\u00b7m$$  <\/li>\n<li>$$\\gamma (copper)$$ = $$8.96 \u00d7 10^3 kg\/m\u00b3$$  <\/li>\n<li>$$L$$ = 0.1 m<\/li>\n<\/ul>\n<p><strong>Calculation:<\/strong><\/p>\n<ol>\n<li>$$l = 200 \\cdot \\pi \\cdot 0.04 \u2248 25.13~m $$<\/li>\n<li>$$A = \\pi \\cdot \\left( \\frac{0.0005}{2} \\right)^2 \u2248 1.96 \\cdot 10^{-7}~\\text{m}^2 $$<\/li>\n<li>$$R = 1.68 \\cdot 10^{-8} \\cdot \\frac{25.13}{1.96 \\cdot 10^{-7}} \u2248 2.15~\u03a9 $$<\/li>\n<li>$$\\gamma_{\\text{linear}} = \\gamma \\cdot A = 8.96 \\cdot 10^3 \\cdot 1.96 \\cdot 10^{-7} \u2248 1.75~\\text{kg\/m}$$<\/li>\n<li>$$m = 25.13 \\cdot 1.75 \u2248 43.97~\\text{g} $$<\/li>\n<li>$$n = \\frac{200}{0.1} = 2000~\\text{turns\/m}$$<\/li>\n<\/ol>\n<p>\n\r\n<\/section><br \/>\nUnderstanding the physical properties of a coil is essential when designing inductors, transformers, electromagnets, or RF coils. This calculator helps estimate wire length, resistance, and weight before winding, allowing for precise material planning and thermal\/electrical efficiency assessment. It supports different conductor materials by adjusting resistivity and density values, making it ideal for practical engineering and educational use.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This calculator determines key physical characteristics of a coil, such as total wire length, weight, resistance, and turns per unit length, based on wire diameter, coil dimensions, and material type. It\u2019s useful for coil winding, transformer design, and inductive component prototyping.<\/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-64510","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\/64510","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=64510"}],"version-history":[{"count":3,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64510\/revisions"}],"predecessor-version":[{"id":64513,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64510\/revisions\/64513"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=64510"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=64510"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=64510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}