{"id":64482,"date":"2025-05-12T09:47:01","date_gmt":"2025-05-12T06:47:01","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=64482"},"modified":"2025-05-12T09:47:01","modified_gmt":"2025-05-12T06:47:01","slug":"single-phase-transformer","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/single-phase-transformer\/","title":{"rendered":"Single Phase Transformer 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\">Single-Phase Transformer Voltage &amp; Current Estimator<\/h2><\/div><div class=\"relative group inline-block\">\n  <button class=\"favorite\" id=\"favorite\" data-favorite-id=\"64482\" data-favorite-title=\"Single Phase Transformer\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/single-phase-transformer\/\" data-favorite-excerpt=\"This calculator helps determine the primary and secondary voltage or current in a single-phase transformer based on turns ratio, input\/output parameters, and power rating. It\u2019s useful for power engineers, electricians, and students working with AC power systems.\" 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\/single-phase-transformer\/\" method=\"POST\" class=\"calculator\" id=\"calculator-64482\" data-post=\"64482\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Primary Voltage<\/label><div class=\"term\">V\u209a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"primary_voltage\" id=\"field-1\" min=\"1\" step=\"0.1\" value=\"220\"\/><div class=\"unit\">V<\/div><small>Voltage applied to the primary coil<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Primary Turns<\/label><div class=\"term\">N\u209a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"primary_turns\" id=\"field-2\" min=\"1\" step=\"1\" value=\"500\"\/><small>Number of turns in primary coil<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Secondary Turns<\/label><div class=\"term\">N\u209b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"secondary_turns\" id=\"field-3\" min=\"1\" step=\"1\" value=\"100\"\/><small>Number of turns in secondary coil<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Primary Current<\/label><div class=\"term\">I\u209a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"primary_current\" id=\"field-4\" min=\"0.01\" step=\"0.01\" value=\"1\"\/><div class=\"unit\">A<\/div><small>Current flowing into the primary winding<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"64482\">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>Secondary Voltage (Vs)<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"V\"><\/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>Secondary Current (Is)<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"A\"><\/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>Turns Ratio (Np:Ns)<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/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=\"64482\" 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>Transformer Voltage and Current 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$$\\frac{V_p}{V_s} = \\frac{N_p}{N_s}$$\n$$\\frac{I_p}{I_s} = \\frac{N_s}{N_p}$$\n$$P = V \\cdot I$$\n<\/div>\r\n\t<\/figure>\r\n\t<br \/>\n<strong>Where:<\/strong><\/p>\n<ul>\n<li>$$V_p$$ = primary voltage (V)  <\/li>\n<li>$$V_s$$ = secondary voltage (V)  <\/li>\n<li>$$N_p$$ = number of primary turns  <\/li>\n<li>$$N_s$$ = number of secondary turns  <\/li>\n<li>$$I_p$$ = primary current (A)  <\/li>\n<li>$$I_s$$ = secondary current (A)  <\/li>\n<li>$$P$$ = apparent power (VA)<\/li>\n<\/ul>\n<p>These formulas assume an ideal transformer (no losses).<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> Single Phase Transformer \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<p>\n<strong>Given:<\/strong><\/p>\n<ul>\n<li>$$V_p$$ = 240 V  <\/li>\n<li>$$V_s$$ = 24 V  <\/li>\n<li>$$I_s$$ = 5 A<\/li>\n<\/ul>\n<p><strong>Calculation:<\/strong><\/p>\n<ol>\n<li>$$\\frac{V_p}{V_s} = \\frac{240}{24} = 10 \\Rightarrow \\text{Turns ratio} = 10:1$$<\/li>\n<li>$$I_p = \\frac{I_s}{\\text{Turns ratio}} = \\frac{5}{10} = 0.5~\\text{A}$$<\/li>\n<li>$$P = V_s \\cdot I_s = 24 \\cdot 5 = 120~\\text{VA}$$<\/li>\n<\/ol>\n<p>\n\r\n<\/section><br \/>\nSingle-phase transformers are widely used in residential and light commercial electrical systems. This calculator allows you to compute voltage, current, power, or turns ratio depending on known parameters. It\u2019s especially helpful for transformer selection, voltage conversion, and understanding power flow in AC circuits. While these formulas assume ideal conditions, they provide a close approximation for design and learning purposes.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This calculator helps determine the primary and secondary voltage or current in a single-phase transformer based on turns ratio, input\/output parameters, and power rating. It\u2019s useful for power engineers, electricians, and students working with AC power systems.<\/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-64482","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\/64482","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=64482"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64482\/revisions"}],"predecessor-version":[{"id":64484,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/64482\/revisions\/64484"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=64482"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=64482"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=64482"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}