{"id":80807,"date":"2024-01-14T13:19:23","date_gmt":"2024-01-14T13:19:23","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/como-calcular-um-campo-magnetico-equacoes-e-leis\/"},"modified":"2024-01-20T10:06:02","modified_gmt":"2024-01-20T10:06:02","slug":"como-calcular-um-campo-magnetico-equacoes-e-leis","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/pt-br\/como-calcular-um-campo-magnetico-equacoes-e-leis\/","title":{"rendered":"Como calcular um campo magn\u00e9tico? | Equa\u00e7\u00f5es e Leis"},"content":{"rendered":"<h2>O que \u00e9 Campo Magn\u00e9tico?<\/h2>\n<p>Um campo magn\u00e9tico \u00e9 um campo vetorial que descreve a influ\u00eancia magn\u00e9tica de correntes el\u00e9tricas e materiais magn\u00e9ticos. Trata-se de uma for\u00e7a invis\u00edvel que rodeia \u00edm\u00e3s e correntes el\u00e9tricas, exercendo for\u00e7as sobre outros materiais magn\u00e9ticos e cargas em movimento. O campo magn\u00e9tico \u00e9 frequentemente representado pelo s\u00edmbolo B e medido em unidades de Tesla (T) ou Gauss (G), onde 1 T = 10.000 G. Campos magn\u00e9ticos s\u00e3o gerados por cargas el\u00e9tricas em movimento (correntes el\u00e9tricas) e pelas propriedades magn\u00e9ticas intr\u00ednsecas de certos materiais, como os ferromagn\u00e9ticos (exemplo: ferro, cobalto e n\u00edquel).<\/p>\n<h2>Leis e Equa\u00e7\u00f5es para C\u00e1lculo de Campos Magn\u00e9ticos<\/h2>\n<p>As leis fundamentais para calcular campos magn\u00e9ticos em diferentes cen\u00e1rios incluem:<\/p>\n<ul>\n<li><strong>Lei de Biot-Savart:<\/strong> Essa lei calcula o campo magn\u00e9tico (B) gerado por um pequeno elemento de corrente (Idl) em um ponto no espa\u00e7o. A equa\u00e7\u00e3o \u00e9:<br \/>\n    <br \/>B = (\u03bc<sub>0<\/sub> \/ 4\u03c0) * \u222b(Idl x r\u0302) \/ r<sup>2<\/sup><br \/>\n    <br \/>onde \u03bc<sub>0<\/sub> \u00e9 a permeabilidade do espa\u00e7o livre, r\u0302 \u00e9 o vetor unit\u00e1rio que aponta do elemento de corrente ao ponto de interesse, e r \u00e9 a dist\u00e2ncia entre eles.<\/li>\n<li><strong>Lei de Amp\u00e8re:<\/strong> Relaciona o campo magn\u00e9tico (B) ao redor de um la\u00e7o fechado com a corrente total (I) que passa pelo la\u00e7o. A equa\u00e7\u00e3o \u00e9:<br \/>\n    <br \/>\u222eB \u2022 dl = \u03bc<sub>0<\/sub>I<br \/>\n    <br \/>onde dl \u00e9 um pequeno segmento do la\u00e7o e a integral \u00e9 calculada sobre todo o la\u00e7o fechado.<\/li>\n<li><strong>Lei de Gauss para Magnetismo:<\/strong> Afirma que o fluxo magn\u00e9tico l\u00edquido atrav\u00e9s de uma superf\u00edcie fechada \u00e9 zero. Matematicamente, \u00e9 expressa como:<br \/>\n    <br \/>\u222eB \u2022 dA = 0<br \/>\n    <br \/>onde dA \u00e9 um pequeno elemento de \u00e1rea da superf\u00edcie fechada.<\/li>\n<li><strong>Lei de Faraday da Indu\u00e7\u00e3o Eletromagn\u00e9tica:<\/strong> Afirma que um campo magn\u00e9tico vari\u00e1vel no tempo induz uma for\u00e7a eletromotriz (EMF) em um la\u00e7o fechado. A equa\u00e7\u00e3o \u00e9:<br \/>\n    <br \/>EMF = -d\u03a6<sub>B<\/sub>\/dt<br \/>\n    <br \/>onde \u03a6<sub>B<\/sub> \u00e9 o fluxo magn\u00e9tico e t \u00e9 o tempo.<\/li>\n<\/ul>\n<h2>Aplica\u00e7\u00f5es dos Campos Magn\u00e9ticos<\/h2>\n<p>Campos magn\u00e9ticos s\u00e3o cruciais em v\u00e1rias fen\u00f4menos naturais e tecnol\u00f3gicos, incluindo o campo magn\u00e9tico da Terra, que protege o planeta da radia\u00e7\u00e3o solar, o funcionamento de motores el\u00e9tricos, geradores, transformadores, al\u00e9m de dispositivos de armazenamento de dados como discos r\u00edgidos.<\/p>\n<h2>Como Calcular um Campo Magn\u00e9tico?<\/h2>\n<p>O c\u00e1lculo do campo magn\u00e9tico depende da fonte do campo magn\u00e9tico e do cen\u00e1rio espec\u00edfico. Aqui est\u00e3o alguns casos comuns e as f\u00f3rmulas usadas para calcular o campo magn\u00e9tico:<\/p>\n<ul>\n<li><strong>Campo magn\u00e9tico devido a um fio reto com corrente:<\/strong> B = (\u03bc<sub>0<\/sub> * I) \/ (2 * \u03c0 * r) onde B \u00e9 o campo magn\u00e9tico, \u03bc<sub>0<\/sub> \u00e9 a permeabilidade do espa\u00e7o livre, I \u00e9 a corrente que flui atrav\u00e9s do fio (em Amperes), e r \u00e9 a dist\u00e2ncia do fio (em metros).<\/li>\n<li><strong>Campo magn\u00e9tico no centro de um la\u00e7o circular com corrente:<\/strong> B = (\u03bc<sub>0<\/sub> * I) \/ (2 * R) onde B \u00e9 o campo magn\u00e9tico, \u03bc<sub>0<\/sub> \u00e9 a permeabilidade do espa\u00e7o livre, I \u00e9 a corrente que flui atrav\u00e9s do la\u00e7o (em Amperes), e R \u00e9 o raio do la\u00e7o (em metros).<\/li>\n<li><strong>Campo magn\u00e9tico devido a um solenoide (bobina de fio):<\/strong> B = \u03bc<sub>0<\/sub> * n * I onde B \u00e9 o campo magn\u00e9tico, \u03bc<sub>0<\/sub> \u00e9 a permeabilidade do espa\u00e7o livre, n \u00e9 o n\u00famero de voltas do fio por unidade de comprimento (em voltas por metro), e I \u00e9 a corrente que flui atrav\u00e9s do solenoide (em Amperes).<\/li>\n<\/ul>\n<p>Estas f\u00f3rmulas s\u00e3o derivadas da lei de Amp\u00e8re e da lei de Biot-Savart, que descrevem a rela\u00e7\u00e3o entre correntes el\u00e9tricas e os campos magn\u00e9ticos que geram.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.electricity-magnetism.org\/wp-content\/uploads\/2022\/01\/logo.png\" alt=\"\" \/><\/p>\n<div style=\"text-align: center; font-size: 20px;\">\n    <a href=\"https:\/\/www.electricity-magnetism.org\/how-to-calculate-a-magnetic-field\/\">Original Article<\/a>\n<\/div>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>O c\u00e1lculo do campo magn\u00e9tico depende da fonte do campo magn\u00e9tico e do cen\u00e1rio espec\u00edfico. Aqui est\u00e3o alguns casos comuns e as f\u00f3rmulas usadas para calcular o campo magn\u00e9tico.<\/p>\n","protected":false},"author":1,"featured_media":1581,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[14],"tags":[],"class_list":["post-80807","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nao-categorizado","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Como calcular um campo magn\u00e9tico? | Equa\u00e7\u00f5es e Leis<\/title>\n<meta name=\"description\" content=\"O c\u00e1lculo do campo magn\u00e9tico depende da fonte do campo magn\u00e9tico e do cen\u00e1rio espec\u00edfico. 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