{"id":2199,"date":"2026-10-15T02:14:54","date_gmt":"2026-10-15T01:14:54","guid":{"rendered":"https:\/\/wpcalc.com\/pt\/engenharia\/impedancia-rlc-serie\/"},"modified":"2026-10-15T02:14:54","modified_gmt":"2026-10-15T01:14:54","slug":"impedancia-rlc-serie","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pt\/engenharia\/impedancia-rlc-serie\/","title":{"rendered":"Imped\u00e2ncia de circuito RLC em s\u00e9rie"},"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\">Calcule a imped\u00e2ncia de um circuito RLC em s\u00e9rie<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"2199\" data-favorite-title=\"Imped\u00e2ncia RLC\" data-favorite-url=\"https:\/\/wpcalc.com\/pt\/engenharia\/impedancia-rlc-serie\/\" data-favorite-excerpt=\"Calcule a imped\u00e2ncia de um circuito RLC em s\u00e9rie a partir da resist\u00eancia, indut\u00e2ncia, capacit\u00e2ncia e frequ\u00eancia. Informe R, L, C e f para obter a imped\u00e2ncia complexa, o m\u00f3dulo e o \u00e2ngulo de fase.\" aria-label=\"Adicionar aos favoritos\" data-favorite-icon=\"icon icon-electrical\">\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\/pt\/engenharia\/impedancia-rlc-serie\/\" method=\"POST\" class=\"calculator\" id=\"calculator-2199\" data-post=\"2199\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Campos de entrada<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Resist\u00eancia (R)<\/label><div class=\"term\">R<\/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=\"resistncia_r\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"m\u03a9\">m\u03a9<\/option><option value=\"\u03a9\" selected>\u03a9<\/option><option value=\"k\u03a9\">k\u03a9<\/option><option value=\"M\u03a9\">M\u03a9<\/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\">Resist\u00eancia total em s\u00e9rie, incluindo a resist\u00eancia pr\u00f3pria da bobina<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Indut\u00e2ncia (L)<\/label><div class=\"term\">L<\/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=\"indutncia_l\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-12\" value=\"10\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"\u00b5H\">\u00b5H<\/option><option value=\"mH\" selected>mH<\/option><option value=\"H\">H<\/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\">Indutor em s\u00e9rie<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Capacit\u00e2ncia (C)<\/label><div class=\"term\">C<\/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=\"capacitncia_c\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-15\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"F\">F<\/option><option value=\"\u00b5F\" selected>\u00b5F<\/option><option value=\"nF\">nF<\/option><option value=\"pF\">pF<\/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-5\">Capacitor em s\u00e9rie<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-7\">Frequ\u00eancia (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=\"frequncia_f\" id=\"field-7\" aria-describedby=\"calc-info-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-6\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-8\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"Hz\">Hz<\/option><option value=\"kHz\" selected>kHz<\/option><option value=\"MHz\">MHz<\/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-7\">Frequ\u00eancia da alimenta\u00e7\u00e3o CA<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Recalcular\" id=\"calculate-button\" data-post=\"2199\">Calcular<\/button><button type=\"reset\">Redefinir<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calcular automaticamente<\/label><small>Se ativado, o resultado \u00e9 atualizado automaticamente quando voc\u00ea altera qualquer valor.<\/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> Resultados da imped\u00e2ncia<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Imped\u00e2ncia complexa<\/span><span class=\"result-term\">Z<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>M\u00f3dulo da imped\u00e2ncia<\/span><span class=\"result-term\">|Z|<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"\u03a9\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>\u00c2ngulo de fase<\/span><span class=\"result-term\">\u03c6<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"\u00b0\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-4\"><span class=\"field-title\"><span>Detalhes do c\u00e1lculo<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><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\">Copiar link para este c\u00e1lculo<\/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>Deixar um coment\u00e1rio<\/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=\"2199\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">O que voc\u00ea achou deste resultado?<\/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\">Curti <\/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\">\u00datil <\/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\">Confuso <\/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\">Decepcionado <\/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\">Impreciso <\/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>F\u00f3rmula da imped\u00e2ncia RLC<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">F\u00f3rmula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ Z = R + j\\left( X_L - X_C \\right), \\quad X_L = 2\\pi f L, \\quad X_C = \\frac{1}{2\\pi f C} \\\\\\ |Z| = \\sqrt{R^2 + \\left( X_L - X_C \\right)^2}, \\quad \\varphi = \\arctan\\left( \\frac{X_L - X_C}{R} \\right) \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Onde:<\/strong><\/p>\n<ul>\n<li>\\(Z\\) \u2014 imped\u00e2ncia complexa do circuito em s\u00e9rie (\u03a9)<\/li>\n<li>\\(R\\) \u2014 resist\u00eancia total em s\u00e9rie (\u03a9)<\/li>\n<li>\\(L\\) \u2014 indut\u00e2ncia (H)<\/li>\n<li>\\(C\\) \u2014 capacit\u00e2ncia (F)<\/li>\n<li>\\(f\\) \u2014 frequ\u00eancia da alimenta\u00e7\u00e3o CA (Hz)<\/li>\n<li>\\(X_L\\) \u2014 reat\u00e2ncia indutiva (\u03a9)<\/li>\n<li>\\(X_C\\) \u2014 reat\u00e2ncia capacitiva (\u03a9)<\/li>\n<li>\\(|Z|\\) \u2014 m\u00f3dulo da imped\u00e2ncia (\u03a9)<\/li>\n<li>\\(\\varphi\\) \u2014 \u00e2ngulo de fase entre tens\u00e3o e corrente (graus)<\/li>\n<\/ul>\n<p>Em um circuito RLC em s\u00e9rie, a oposi\u00e7\u00e3o total \u00e0 corrente alternada \u00e9 a soma fasorial da resist\u00eancia com a reat\u00e2ncia resultante \\(X = X_L - X_C\\). Como as reat\u00e2ncias se cancelam parcialmente, o resultado depende fortemente da frequ\u00eancia.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.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>Imped\u00e2ncia RLC \u2013 Exemplo de c\u00e1lculo<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Exemplo:<\/strong> um circuito RLC em s\u00e9rie com um resistor de 100 \u03a9, um indutor de 10 mH e um capacitor de 1 \u00b5F \u00e9 alimentado a 1 kHz. Determine a imped\u00e2ncia.<\/p>\n<p>\\[ X_L = 2\\pi \\cdot 1000 \\cdot 0.01 = 62.832\\ \\Omega \\]&lt;\/n<\/p>\n<p>\\[ X_C = \\frac{1}{2\\pi \\cdot 1000 \\cdot 1\\times10^{-6}} = 159.155\\ \\Omega \\]<\/p>\n<p>\\[ X = X_L - X_C = 62.832 - 159.155 = -96.323\\ \\Omega \\]<\/p>\n<p>\\[ Z = 100 - j96.323\\ \\Omega, \\quad |Z| = \\sqrt{100^2 + 96.323^2} = 138.846\\ \\Omega \\]<\/p>\n<p>\\[ \\varphi = \\arctan\\left( \\frac{-96.323}{100} \\right) = -43.92\u00b0 \\]<\/p>\n<p><strong>Resultado:<\/strong> Z = 100 \u2212 j96.32 \u03a9, |Z| \u2248 138.85 \u03a9 com \u00e2ngulo de fase de \u221243,92\u00b0. O sinal negativo indica que o circuito \u00e9 capacitivo a 1 kHz \u2014 a corrente est\u00e1 adiantada em rela\u00e7\u00e3o \u00e0 tens\u00e3o.<\/p>\n<p>\n\r\n<\/section>\n<h2>Como usar a calculadora de imped\u00e2ncia de circuito RLC em s\u00e9rie<\/h2>\n<ol>\n<li>Informe a <strong>Resist\u00eancia (R)<\/strong> e selecione sua unidade (m\u03a9, \u03a9, k\u03a9 ou M\u03a9). Inclua aqui a resist\u00eancia do pr\u00f3prio enrolamento da bobina para obter um resultado mais realista.<\/li>\n<li>Informe a <strong>Indut\u00e2ncia (L)<\/strong> do indutor em s\u00e9rie e escolha \u00b5H, mH ou H.<\/li>\n<li>Informe a <strong>Capacit\u00e2ncia (C)<\/strong> do capacitor em s\u00e9rie e escolha F, \u00b5F, nF ou pF.<\/li>\n<li>Informe a <strong>Frequ\u00eancia (f)<\/strong> da alimenta\u00e7\u00e3o CA em Hz, kHz ou MHz.<\/li>\n<li>Leia os resultados: a imped\u00e2ncia complexa na forma retangular, o m\u00f3dulo da imped\u00e2ncia em ohms, o \u00e2ngulo de fase em graus e os detalhes do c\u00e1lculo, que mostram as reat\u00e2ncias, a frequ\u00eancia de resson\u00e2ncia s\u00e9rie e se o circuito se comporta de forma indutiva ou capacitiva.<\/li>\n<\/ol>\n<h2>O que \u00e9 a imped\u00e2ncia de um circuito RLC em s\u00e9rie?<\/h2>\n<p>Imped\u00e2ncia \u00e9 a oposi\u00e7\u00e3o total que um circuito oferece \u00e0 corrente alternada, combinando a resist\u00eancia (que dissipa energia) com a reat\u00e2ncia (que armazena e devolve energia). Em um circuito RLC em s\u00e9rie, o resistor, o indutor e o capacitor s\u00e3o percorridos pela mesma corrente, mas as tens\u00f5es sobre eles n\u00e3o est\u00e3o em fase: a tens\u00e3o no indutor est\u00e1 adiantada de 90\u00b0 em rela\u00e7\u00e3o \u00e0 corrente, enquanto a tens\u00e3o no capacitor est\u00e1 atrasada de 90\u00b0. Por isso, as duas reat\u00e2ncias trabalham uma contra a outra e devem ser subtra\u00eddas, e n\u00e3o somadas.<\/p>\n<p>A reat\u00e2ncia indutiva \\(X_L = 2\\pi f L\\) cresce com a frequ\u00eancia, enquanto a reat\u00e2ncia capacitiva \\(X_C = 1\/(2\\pi f C)\\) diminui. A reat\u00e2ncia resultante \\(X = X_L - X_C\\) determina, portanto, o car\u00e1ter do circuito em cada frequ\u00eancia:<\/p>\n<ul>\n<li><strong>X &gt; 0<\/strong> \u2014 indutivo: a corrente est\u00e1 atrasada em rela\u00e7\u00e3o \u00e0 tens\u00e3o e o \u00e2ngulo de fase \u00e9 positivo.<\/li>\n<li><strong>X &lt; 0<\/strong> \u2014 capacitivo: a corrente est\u00e1 adiantada em rela\u00e7\u00e3o \u00e0 tens\u00e3o e o \u00e2ngulo de fase \u00e9 negativo.<\/li>\n<li><strong>X = 0<\/strong> \u2014 resson\u00e2ncia: as reat\u00e2ncias se cancelam exatamente, Z = R e a corrente \u00e9 limitada apenas pela resist\u00eancia.<\/li>\n<\/ul>\n<p>O m\u00f3dulo \\(|Z|\\) mostra quanta corrente circular\u00e1 para uma determinada tens\u00e3o aplicada, por meio de \\(I = V\/|Z|\\), e o \u00e2ngulo de fase \\(\\varphi\\) indica o quanto a corrente est\u00e1 deslocada no tempo em rela\u00e7\u00e3o \u00e0 tens\u00e3o. Os dois s\u00e3o necess\u00e1rios na an\u00e1lise de CA, nos c\u00e1lculos de pot\u00eancia e no projeto de redes de casamento \u2014 veja a <a href=\"https:\/\/wpcalc.com\/pt\/engenharia\/lei-de-ohm\/\">calculadora de Lei de Ohm<\/a> para a vers\u00e3o em corrente cont\u00ednua dessa rela\u00e7\u00e3o.<\/p>\n<h2>Resson\u00e2ncia em um circuito RLC em s\u00e9rie<\/h2>\n<p>A resson\u00e2ncia s\u00e9rie ocorre na frequ\u00eancia \\(f_0 = 1\/(2\\pi\\sqrt{LC})\\), em que \\(X_L = X_C\\). Nessa frequ\u00eancia, a imped\u00e2ncia cai ao seu valor m\u00ednimo, igual a apenas R, e a corrente atinge o m\u00e1ximo. No exemplo padr\u00e3o acima, a resson\u00e2ncia ocorre a cerca de 1591,5 Hz; nesse ponto, a imped\u00e2ncia cairia para apenas 100 \u03a9.<\/p>\n<p>Esse comportamento \u00e9 a base dos circuitos de sintonia, filtros e osciladores. Um circuito RLC em s\u00e9rie favorece fortemente os sinais pr\u00f3ximos de \\(f_0\\) e rejeita os demais. Se voc\u00ea s\u00f3 precisa encontrar a frequ\u00eancia de resson\u00e2ncia de um par LC, a <a href=\"https:\/\/wpcalc.com\/pt\/engenharia\/frequencia-ressonante-lc\/\">calculadora de frequ\u00eancia de resson\u00e2ncia LC<\/a> faz isso diretamente, e a <a href=\"https:\/\/wpcalc.com\/pt\/engenharia\/constante-de-tempo-rc\/\">calculadora de constante de tempo RC<\/a> cobre o comportamento transit\u00f3rio das redes RC.<\/p>\n<h2>Premissas e dicas pr\u00e1ticas<\/h2>\n<ul>\n<li><strong>Assumem-se componentes ideais:<\/strong> o indutor e o capacitor n\u00e3o t\u00eam resist\u00eancia parasita, autorresson\u00e2ncia ou efeitos dispersos. Capacitores reais t\u00eam uma resist\u00eancia s\u00e9rie equivalente (ESR) e indutores reais t\u00eam resist\u00eancia de enrolamento \u2014 some esses valores a R para maior precis\u00e3o.<\/li>\n<li><strong>O campo de resist\u00eancia \u00e9 a resist\u00eancia total em s\u00e9rie:<\/strong> se voc\u00ea conhece a resist\u00eancia em corrente cont\u00ednua da bobina, inclua-a em R em vez de supor que ela seja zero.<\/li>\n<li><strong>Efeitos dependentes da frequ\u00eancia s\u00e3o ignorados:<\/strong> em altas frequ\u00eancias (tipicamente acima de alguns MHz), capacit\u00e2ncia dispersa, efeito pelicular e indut\u00e2ncia dos terminais podem alterar sensivelmente a imped\u00e2ncia medida. Para trabalho com linhas de transmiss\u00e3o e em n\u00edvel de placa de circuito impresso, use uma ferramenta dedicada, como a <a href=\"https:\/\/wpcalc.com\/pt\/engenharia\/calculadora-impedancia-stripline\/\">calculadora de imped\u00e2ncia de stripline<\/a>.<\/li>\n<li><strong>Conven\u00e7\u00e3o do \u00e2ngulo de fase:<\/strong> um \u00e2ngulo positivo significa que o circuito se comporta como indutivo (corrente atrasada); um \u00e2ngulo negativo, como capacitivo (corrente adiantada). Em exatamente 0\u00b0, o circuito \u00e9 puramente resistivo.<\/li>\n<li><strong>Verifique a resson\u00e2ncia por seguran\u00e7a:<\/strong> perto de \\(f_0\\), um circuito RLC em s\u00e9rie pode drenar correntes muito grandes, e a tens\u00e3o sobre L ou C isoladamente pode ser muitas vezes maior que a tens\u00e3o de alimenta\u00e7\u00e3o (multiplica\u00e7\u00e3o por Q). Certifique-se de que os componentes tenham especifica\u00e7\u00e3o adequada para isso.<\/li>\n<\/ul>\n<p>Depois de conhecer \\(|Z|\\) e \\(\\varphi\\), voc\u00ea pode calcular a pot\u00eancia aparente e a pot\u00eancia ativa da carga, ou usar a <a href=\"https:\/\/wpcalc.com\/pt\/engenharia\/correcao-do-fator-de-potencia\/\">calculadora de corre\u00e7\u00e3o do fator de pot\u00eancia<\/a> para dimensionar um capacitor que traga o \u00e2ngulo de fase de volta para perto de zero.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calcule a imped\u00e2ncia de um circuito RLC em s\u00e9rie a partir da resist\u00eancia, indut\u00e2ncia, capacit\u00e2ncia e frequ\u00eancia. Informe R, L, C e f para obter a imped\u00e2ncia complexa, o m\u00f3dulo e o \u00e2ngulo de fase.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[6],"tags":[82],"class_list":["post-2199","post","type-post","status-publish","format-standard","hentry","category-engenharia","tag-circuitos"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2199","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/comments?post=2199"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2199\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/media?parent=2199"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/categories?post=2199"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/tags?post=2199"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}