{"id":64437,"date":"2025-05-12T09:20:25","date_gmt":"2025-05-12T06:20:25","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=64437"},"modified":"2025-05-12T09:20:25","modified_gmt":"2025-05-12T06:20:25","slug":"microstrip-impedance","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/microstrip-impedance\/","title":{"rendered":"Microstrip Impedance 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\">Characteristic Impedance of Microstrip Line<\/h2><\/div><div class=\"relative group inline-block\">\n  <button class=\"favorite\" id=\"favorite\" data-favorite-id=\"64437\" data-favorite-title=\"Microstrip Impedance\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/microstrip-impedance\/\" data-favorite-excerpt=\"This calculator determines the characteristic impedance of a microstrip transmission line based on trace width, substrate height, and dielectric constant. It\u2019s essential for RF PCB design, signal integrity, and impedance-controlled routing.\" 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\/microstrip-impedance\/\" method=\"POST\" class=\"calculator\" id=\"calculator-64437\" data-post=\"64437\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Dielectric constant<\/label><div class=\"term\">\u03b5r<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"dielectric_constant\" id=\"field-1\" min=\"1\" step=\"0.01\" value=\"4.5\"\/><small>Relative permittivity of the substrate<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Substrate height<\/label><div class=\"term\">h<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"substrate_height\" id=\"field-2\" min=\"0.01\" step=\"0.01\" value=\"1.6\"\/><div class=\"unit\">mm<\/div><small>Height of dielectric between ground and conductor<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Trace width<\/label><div class=\"term\">w<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"trace_width\" id=\"field-3\" min=\"0.01\" step=\"0.01\" value=\"1\"\/><div class=\"unit\">mm<\/div><small>Width of the copper trace<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Trace thickness<\/label><div class=\"term\">t<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"trace_thickness\" id=\"field-4\" min=\"0\" step=\"0.001\" value=\"0.035\"\/><div class=\"unit\">mm<\/div><small>Thickness of the copper layer<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"64437\">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>Characteristic Impedance<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"\u03a9\"><\/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=\"64437\" 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>Microstrip Impedance Calculation 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$$\\text{If } \\frac{w}{h} \\leq 1: \\\\\nZ_0 = \\frac{60}{\\sqrt{\\varepsilon_r}} \\cdot \\ln\\left( \\frac{8h}{w} + \\frac{w}{4h} \\right)\n\\\\[1em]\n\\text{If } \\frac{w}{h} \\geq 1: \\\\\nZ_0 = \\frac{120\\pi}{\\sqrt{\\varepsilon_r} \\cdot \\left( \\frac{w}{h} + 1.393 + 0.667 \\cdot \\ln\\left( \\frac{w}{h} + 1.444 \\right) \\right)}$$\n<\/div>\r\n\t<\/figure>\r\n\t<br \/>\n<strong>Where:<\/strong><\/p>\n<ul>\n<li>$$Z_0$$ = characteristic impedance (\u03a9)<\/li>\n<li>$$w$$ = trace width (mm)<\/li>\n<li>$$h$$ = dielectric height (mm)<\/li>\n<li>$$varepsilon_r$$ = dielectric constant (unitless)<\/li>\n<\/ul>\n<p>These equations estimate the impedance of a microstrip line based on geometry and dielectric properties, commonly used in PCB design.<br \/>\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>Microstrip Impedance \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<p>\n<strong>Given:<\/strong><\/p>\n<ul>\n<li>$$w$$ = 1.2 mm<\/li>\n<li>$$h$$ = 0.8 mm<\/li>\n<li>$$varepsilon_r$$ = 4.4<\/li>\n<\/ul>\n<p><strong>Calculation:<\/strong><\/p>\n<ol>\n<li>$$\\frac{w}{h} = \\frac{1.2}{0.8} = 1.5 \\Rightarrow \\text{use 2nd formula}$$<\/li>\n<li>$$Z_0 = \\frac{120\\pi}{\\sqrt{4.4} \\cdot \\left( 1.5 + 1.393 + 0.667 \\cdot \\ln(1.5 + 1.444) \\right)}$$<\/li>\n<li>$$Z_0 = \\frac{376.99}{2.097 \\cdot (1.5 + 1.393 + 0.667 \\cdot \\ln(2.944))}$$<\/li>\n<li>$$Z_0 \u2248 \\frac{376.99}{2.097 \\cdot (1.5 + 1.393 + 0.667 \\cdot 1.079)}$$<\/li>\n<li>$$Z_0 \u2248 \\frac{376.99}{2.097 \\cdot 4.115} = \\frac{376.99}{8.631} \u2248 43.7~\\Omega$$<\/li>\n<\/ol>\n<p>\n\r\n<\/section><br \/>\nThe microstrip impedance calculator is crucial in PCB design for RF and high-speed digital circuits. Impedance mismatches cause signal reflections, noise, and reduced performance. By calculating the characteristic impedance based on substrate properties and trace dimensions, designers can ensure signal integrity and meet the specs of components and connectors. The calculator supports both narrow and wide trace designs.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This calculator determines the characteristic impedance of a microstrip transmission line based on trace width, substrate height, and dielectric constant. It\u2019s essential for RF PCB design, signal integrity, and impedance-controlled routing.<\/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-64437","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\/64437","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=64437"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64437\/revisions"}],"predecessor-version":[{"id":64439,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64437\/revisions\/64439"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=64437"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=64437"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=64437"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}