{"id":66704,"date":"2026-10-13T08:39:59","date_gmt":"2026-10-13T05:39:59","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=66704"},"modified":"2026-10-13T08:39:59","modified_gmt":"2026-10-13T05:39:59","slug":"skin-depth","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/skin-depth\/","title":{"rendered":"Skin Depth"},"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\">Find How Deep AC Current Penetrates a Conductor<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"66704\" data-favorite-title=\"Skin Depth\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/skin-depth\/\" data-favorite-excerpt=\"Calculate the skin depth of an alternating current in a conductor from frequency, resistivity and relative permeability. Enter the material properties to see how deep AC current actually penetrates.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-engineering\">\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\/engineering\/skin-depth\/\" method=\"POST\" class=\"calculator\" id=\"calculator-66704\" data-post=\"66704\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Frequency (f)<\/label><div class=\"term\">f<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"frequency_f\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-6\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"frequency_unit\" aria-label=\"Frequency unit\"><option value=\"hz\">Hz<\/option><option value=\"khz\">kHz<\/option><option value=\"mhz\" selected>MHz<\/option><option value=\"ghz\">GHz<\/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><small id=\"calc-info-1\">Frequency of the alternating current in the conductor<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Resistivity (\u03c1)<\/label><div class=\"term\">\u03c1<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"resistivity_\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-12\" value=\"1.68E-8\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"resistivity_unit\" aria-label=\"Resistivity unit\"><option value=\"ohm_m\" selected>\u03a9\u00b7m<\/option><option value=\"uohm_m\">\u00b5\u03a9\u00b7m<\/option><option value=\"ohm_mm2m\">\u03a9\u00b7mm\u00b2\/m<\/option><option value=\"uohm_cm\">\u00b5\u03a9\u00b7cm<\/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><small id=\"calc-info-3\">Electrical resistivity of the conductor (copper \u2248 1.68\u00d710\u207b\u2078 \u03a9\u00b7m at 20 \u00b0C)<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Relative Permeability (\u03bcr)<\/label><div class=\"term\">\u03bcr<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"relative_permeability_r\" id=\"field-5\" aria-describedby=\"calc-unit-5 calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-6\" value=\"1\"\/><div class=\"unit\" id=\"calc-unit-5\">\u2014<\/div><small id=\"calc-info-5\">\u03bcr = 1 for copper, aluminium and other non-magnetic conductors; can be 100+ for ferromagnetic metals<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"66704\">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> Skin Depth Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Skin Depth<\/span><span class=\"result-term\">\u03b4<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"m\"><\/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 class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Skin Depth (readable)<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/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 class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Calculation Details<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/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=\"66704\" 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>Skin Depth 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\\[ \\delta = \\sqrt{\\frac{2\\rho}{\\omega \\mu}} = \\sqrt{\\frac{\\rho}{\\pi f \\mu}} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(\\delta\\) \u2014 skin depth (m)<\/li>\n<li>\\(\\rho\\) \u2014 electrical resistivity of the conductor (\u03a9\u00b7m)<\/li>\n<li>\\(f\\) \u2014 frequency of the alternating current (Hz)<\/li>\n<li>\\(\\omega = 2\\pi f\\) \u2014 angular frequency (rad\/s)<\/li>\n<li>\\(\\mu = \\mu_0 \\mu_r\\) \u2014 absolute permeability (H\/m), with \\(\\mu_0 = 4\\pi \\times 10^{-7}\\) H\/m<\/li>\n<\/ul>\n<p>The formula gives the distance from the surface at which the current density falls to \\(1\/e \\approx 37\\%\\) of its surface value. Because \\(\\delta\\) is proportional to \\(1\/\\sqrt{f}\\), higher frequencies confine the current to an ever thinner layer near the surface.<\/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>Skin Depth \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a copper conductor carries an alternating current at 1 MHz. Copper has a resistivity of \\(1.68 \\times 10^{-8}\\) \u03a9\u00b7m at 20 \u00b0C and is non-magnetic, so \\(\\mu_r = 1\\).<\/p>\n<p>\\[ \\mu = \\mu_0 \\mu_r = 4\\pi \\times 10^{-7} \\times 1 = 1.257 \\times 10^{-6}\\ \\text{H\/m} \\]<\/p>\n<p>\\[ \\delta = \\sqrt{\\frac{1.68 \\times 10^{-8}}{\\pi \\times 1 \\times 10^{6} \\times 1.257 \\times 10^{-6}}} = \\sqrt{4.26 \\times 10^{-9}} \\]<\/p>\n<p><strong>Result:<\/strong> \\(\\delta \\approx 6.52 \\times 10^{-5}\\) m \u2248 65.2 \u00b5m. At 1 MHz, effectively all the current in a copper wire flows within about 0.2 mm of the surface (roughly \\(3\\delta\\)).<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Skin Depth Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Frequency (f)<\/strong> of the alternating current and choose its unit \u2014 Hz, kHz, MHz or GHz.<\/li>\n<li>Enter the <strong>Resistivity (\u03c1)<\/strong> of the conductor material. The default is copper (\\(1.68 \\times 10^{-8}\\) \u03a9\u00b7m); select \u03a9\u00b7mm\u00b2\/m, \u00b5\u03a9\u00b7m or \u00b5\u03a9\u00b7cm if your data comes in those units.<\/li>\n<li>Enter the <strong>Relative Permeability (\u03bcr)<\/strong>. Use 1 for copper, aluminium, silver, gold and other non-magnetic metals; use 100\u20135000 for ferromagnetic materials such as iron or steel.<\/li>\n<li>Read the <strong>Skin Depth<\/strong> in metres, the readable value in mm or \u00b5m, and the full calculation details showing the values substituted into the formula.<\/li>\n<\/ol>\n<h2>What Is Skin Depth and Why It Matters<\/h2>\n<p>When direct current flows through a conductor, it distributes itself uniformly over the whole cross-section. Alternating current behaves differently: the time-varying magnetic field generated by the current induces eddy currents that oppose the current in the centre of the conductor and reinforce it near the surface. This phenomenon, called the <strong>skin effect<\/strong>, causes AC current density to decrease exponentially with depth below the surface.<\/p>\n<p>The skin depth \\(\\delta\\) quantifies this decay. At a depth of one \\(\\delta\\) the current density is down to about 37% of its surface value, and about 95% of the total current flows within a layer of thickness \\(3\\delta\\). At 50\/60 Hz the skin depth in copper is roughly 8\u20139 mm, so the effect is negligible in household wiring. At 1 MHz it shrinks to about 65 \u00b5m, and at 1 GHz it is only about 2 \u00b5m \u2014 meaning a thick conductor carries high-frequency current almost entirely in a thin surface film.<\/p>\n<p>The practical consequences appear everywhere in electrical engineering. At high frequencies, the effective resistance of a conductor increases because only a fraction of its cross-section is used, which is why RF conductors are often hollow, silver-plated, or made as tubes and Litz wire. Skin depth also matters for <strong>PCB trace design<\/strong>, coaxial cables, shielding effectiveness, induction heating and non-destructive testing of metals. Note that ferromagnetic conductors suffer far more: because their permeability is hundreds or thousands of times higher, their skin depth at the same frequency can be 10\u2013100\u00d7 smaller than that of copper, which is why steel is a poor choice for RF conductors.<\/p>\n<h2>Assumptions, Limitations and Practical Tips<\/h2>\n<ul>\n<li><strong>Plane surface assumed:<\/strong> the formula is exact for a flat, semi-infinite conductor. It is a good approximation for wires and traces whose radius or thickness is at least 3\u20134 times \\(\\delta\\); for conductors comparable in size to \\(\\delta\\), the current fills the cross-section and the actual penetration is larger.<\/li>\n<li><strong>Good conductor:<\/strong> the formula assumes the conductor is much less lossy than the surrounding medium, which is true for ordinary metals at power, audio and radio frequencies.<\/li>\n<li><strong>DC resistivity used:<\/strong> \\(\\rho\\) is taken as constant. This is accurate when \\(\\delta\\) is large compared with the electron mean free path \u2014 valid for bulk metals at normal frequencies, but not in the extreme far-infrared or in very cold, very pure samples.<\/li>\n<li><strong>Temperature dependence:<\/strong> resistivity rises with temperature (about 0.4% per \u00b0C for copper), so a hot winding has a slightly larger skin depth than a cold one.<\/li>\n<li><strong>Proximity effect ignored:<\/strong> nearby conductors carrying current distort the current distribution further and increase losses; this calculator covers only the isolated-conductor skin effect.<\/li>\n<li><strong>Iron and steel:<\/strong> the permeability of ferromagnetic materials depends on frequency and field strength, so treat results for \\(\\mu_r \\gg 1\\) as estimates.<\/li>\n<\/ul>\n<p>If you are sizing conductors for AC circuits, combine this tool with the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/electrical-voltage-drop\/\">Voltage Drop calculator<\/a> to check that the effective resistance stays acceptable. For frequency-dependent behaviour in circuits, see the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/ac-reactance\/\">AC Reactance<\/a> and <a href=\"https:\/\/wpcalc.com\/en\/engineering\/rl-time-constant\/\">RL Time Constant<\/a> calculators, and for high-frequency board layout use the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/pcb-trace-width\/\">PCB Trace Width<\/a> calculator.<\/p>\n<h2>Typical Skin Depths in Copper (\u03bc<sub>r<\/sub> = 1)<\/h2>\n<table>\n<thead>\n<tr>\n<th>Frequency<\/th>\n<th>Skin depth \u03b4<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>50 Hz<\/td>\n<td>9.3 mm<\/td>\n<\/tr>\n<tr>\n<td>1 kHz<\/td>\n<td>2.1 mm<\/td>\n<\/tr>\n<tr>\n<td>100 kHz<\/td>\n<td>0.21 mm<\/td>\n<\/tr>\n<tr>\n<td>1 MHz<\/td>\n<td>65 \u00b5m<\/td>\n<\/tr>\n<tr>\n<td>100 MHz<\/td>\n<td>6.5 \u00b5m<\/td>\n<\/tr>\n<tr>\n<td>1 GHz<\/td>\n<td>2.1 \u00b5m<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the skin depth of an alternating current in a conductor from frequency, resistivity and relative permeability. Enter the material properties to see how deep AC current actually penetrates.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[4],"tags":[92],"class_list":["post-66704","post","type-post","status-publish","format-standard","hentry","category-engineering","tag-rf-microwave"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66704","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\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=66704"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66704\/revisions"}],"predecessor-version":[{"id":66705,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66704\/revisions\/66705"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=66704"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=66704"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=66704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}