{"id":271,"date":"2023-06-22T21:21:14","date_gmt":"2023-06-22T21:21:14","guid":{"rendered":"https:\/\/physigeek.com\/pt\/onda-triangular\/"},"modified":"2023-06-22T21:21:14","modified_gmt":"2023-06-22T21:21:14","slug":"onda-triangular","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/onda-triangular\/","title":{"rendered":"Onda triangular"},"content":{"rendered":"<p>Este artigo explica o que s\u00e3o ondas triangulares e para que s\u00e3o utilizadas. Al\u00e9m disso, voc\u00ea aprender\u00e1 quais s\u00e3o os par\u00e2metros de uma onda triangular e as diferen\u00e7as entre outros tipos de ondas.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-triangular\"><\/span> O que \u00e9 uma onda triangular?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma <strong>onda triangular<\/strong> \u00e9 uma onda cujo gr\u00e1fico alterna uma inclina\u00e7\u00e3o linear positiva com uma inclina\u00e7\u00e3o linear negativa. Em outras palavras, uma onda triangular \u00e9 uma onda cuja representa\u00e7\u00e3o gr\u00e1fica forma tri\u00e2ngulos periodicamente.<\/p>\n<p> Portanto, uma onda triangular tem um valor m\u00e1ximo e um valor m\u00ednimo e oscila entre esses dois valores linearmente. Geralmente, o tempo de subida \u00e9 igual ao tempo de descida. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vague-triangulaire.png\" alt=\"onda triangular\" class=\"wp-image-4786\" width=\"458\" height=\"182\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vague-triangulaire-300x119.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vague-triangulaire-1024x406.png 1024w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vague-triangulaire-768x305.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vague-triangulaire.png 1033w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> As ondas triangulares s\u00e3o usadas principalmente para gerar sinais el\u00e9tricos, geralmente com valores entre 1 e 0 ou entre 1 e -1. Assim, as ondas triangulares s\u00e3o amplamente utilizadas na eletr\u00f4nica, campo em que encontram diversas aplica\u00e7\u00f5es. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-una-onda-triangular\"><\/span> Caracter\u00edsticas de uma onda triangular<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Depois de vermos a defini\u00e7\u00e3o de onda triangular, vamos ver quais s\u00e3o as caracter\u00edsticas desse tipo de onda.<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Per\u00edodo<\/strong> : Este \u00e9 o tempo decorrido entre dois pontos equivalentes na onda. Portanto, se representarmos graficamente uma onda triangular em fun\u00e7\u00e3o do tempo, seu per\u00edodo \u00e9 o tempo que decorre at\u00e9 que o mesmo ponto se repita.<\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Amplitude<\/strong> : Esta \u00e9 a dist\u00e2ncia vertical entre um pico da onda e o eixo horizontal do gr\u00e1fico. Da mesma forma, este par\u00e2metro de ondas triangulares tamb\u00e9m pode ser definido como a dist\u00e2ncia vertical entre um pico positivo e um pico negativo dividida por dois.<\/span><\/li>\n<\/ul>\n<p> Assim, uma onda triangular pode ser definida apenas com sua amplitude e per\u00edodo, j\u00e1 que s\u00e3o definidas a dist\u00e2ncia horizontal e a dist\u00e2ncia vertical entre os picos.<\/p>\n<p> Al\u00e9m disso, em geral uma onda triangular \u00e9 peri\u00f3dica, porque seu gr\u00e1fico se repete ao longo do tempo, e sim\u00e9trica, uma vez que o tempo de subida e o tempo de queda s\u00e3o equivalentes. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-onda-triangular\"><\/span>F\u00f3rmula de onda triangular<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Nesta se\u00e7\u00e3o, veremos como \u00e9 a equa\u00e7\u00e3o da onda triangular. Primeiramente estudaremos dois casos espec\u00edficos de ondas triangulares e, posteriormente, veremos qual \u00e9 a f\u00f3rmula geral da onda triangular.<\/p>\n<p> Uma onda triangular com per\u00edodo <em>p<\/em> e intervalo entre [0,1] pode ser definida pela seguinte fun\u00e7\u00e3o:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-247c59b37b4e1a03b0c3695e5b4bc946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x(t)= 2 \\gauche| \\frac{t}{p} - \\left \\lfloor \\frac{t}{p} + \\frac{1}{2} \\right \\rfloor \\right| \" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"166\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Ouro<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7f73b70b9cab10ae4953bab31104fcdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lfloor\\vphantom{\\frac{t}{p} + \\frac{1}{2} } \\ \\rfloor\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -5px;\"><\/p>\n<p> significa que a parte decimal do n\u00famero interno \u00e9 removida.<\/p>\n<p> Por outro lado, a equa\u00e7\u00e3o de uma onda triangular de per\u00edodo <em>p<\/em> e intervalo [-1,1] \u00e9 a seguinte:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-80fd54d178a172209dab3cbd3d52afbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x(t)= 2 \\left | 2 \\left ( \\frac{t}{p} - \\left \\lfloor {t \\over p} + {1 \\over 2} \\right \\rfloor \\right) \\right | -1 \" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"248\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Finalmente, a seguinte f\u00f3rmula de onda triangular permite representar graficamente qualquer onda triangular em fun\u00e7\u00e3o do valor da sua amplitude <em>a<\/em> e do seu per\u00edodo <em>p<\/em> :<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-6373a74772af34897d7c3a6d9bafdcac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x(t) = \\frac{4a}{p} \\left| \\left( \\left(t - \\frac{p}{4}\\right) \\bmod p \\right) - \\frac{p}{2} \\right| -une\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"312\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Observe que o resultado da opera\u00e7\u00e3o<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5e88b1f691b4a987b766d90dfe4db16a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x \\bmod y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 o resto da divis\u00e3o de<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> por <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-158a907f7bdd9b8687b3ada1125d298b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Onda-triangular-y-onda-cuadrada\"><\/span> Onda triangular e onda quadrada<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Nesta se\u00e7\u00e3o veremos qual a diferen\u00e7a entre onda triangular e onda quadrada, j\u00e1 que ambas as ondas s\u00e3o utilizadas em engenharia el\u00e9trica.<\/p>\n<p> Uma <strong>onda quadrada<\/strong> \u00e9 uma onda de corrente alternada que possui apenas dois valores: um valor m\u00e1ximo e um valor m\u00ednimo. Em outras palavras, uma onda quadrada \u00e9 um sinal el\u00e9trico que alterna seu valor entre dois valores extremos sem passar por valores intermedi\u00e1rios.<\/p>\n<p> Portanto, <strong>a principal diferen\u00e7a entre uma onda triangular e uma onda quadrada<\/strong> \u00e9 que o gr\u00e1fico de uma onda triangular tem a forma de um tri\u00e2ngulo, enquanto o gr\u00e1fico de uma onda quadrada tem a forma de um qu\u00e1druplo.<\/p>\n<p> Al\u00e9m disso, na eletr\u00f4nica, as ondas quadradas s\u00e3o usadas com mais frequ\u00eancia do que as ondas triangulares, porque esses tipos de ondas s\u00e3o muito \u00fateis para gerar sinais el\u00e9tricos bin\u00e1rios. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/physigeek.com\/pt\/onda-quadrada\/\">onda quadrada<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Onda-triangular-y-onda-sinusoidal\"><\/span> Onda triangular e onda senoidal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma <strong>onda senoidal<\/strong> \u00e9 uma onda peri\u00f3dica que oscila de um valor m\u00e1ximo a um valor m\u00ednimo em todos os valores intermedi\u00e1rios. A onda senoidal, portanto, tem o mesmo gr\u00e1fico que a fun\u00e7\u00e3o senoidal.<\/p>\n<p> <strong>A principal diferen\u00e7a entre a onda triangular e a onda senoidal<\/strong> reside, portanto, na sua representa\u00e7\u00e3o gr\u00e1fica. O gr\u00e1fico de uma onda senoidal \u00e9 cont\u00ednuo e ondulado (fun\u00e7\u00e3o senoidal), enquanto o gr\u00e1fico de uma onda triangular \u00e9 linear e com mudan\u00e7as abruptas de inclina\u00e7\u00e3o.<\/p>\n<p> No entanto, a onda triangular e a onda senoidal t\u00eam em comum o fato de serem definidas por seu per\u00edodo e amplitude, embora sejam necess\u00e1rios mais par\u00e2metros para definir completamente uma onda senoidal. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/physigeek.com\/pt\/onda-senoidal-sinusoidal\/\">onda senoidal<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que s\u00e3o ondas triangulares e para que s\u00e3o utilizadas. Al\u00e9m disso, voc\u00ea aprender\u00e1 quais s\u00e3o os par\u00e2metros de uma onda triangular e as diferen\u00e7as entre outros tipos de ondas. O que \u00e9 uma onda triangular? Uma onda triangular \u00e9 uma onda cujo gr\u00e1fico alterna uma inclina\u00e7\u00e3o linear positiva com uma inclina\u00e7\u00e3o &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/onda-triangular\/\"> <span class=\"screen-reader-text\">Onda triangular<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[6],"tags":[],"class_list":["post-271","post","type-post","status-publish","format-standard","hentry","category-eletronico"],"yoast_head":"<!-- This site is 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