{"id":12181,"date":"2022-03-11T06:40:11","date_gmt":"2022-03-11T06:40:11","guid":{"rendered":"https:\/\/dev.ingenieros-im3.com\/uncategorized\/198th-birthday-of-gustav-kirchhoff\/"},"modified":"2022-12-15T09:16:43","modified_gmt":"2022-12-15T09:16:43","slug":"198th-birthday-of-gustav-kirchhoff","status":"publish","type":"post","link":"https:\/\/www.ingenieros-im3.com\/en\/uncategorized\/198th-birthday-of-gustav-kirchhoff\/","title":{"rendered":"198th birthday of Gustav Kirchhoff"},"content":{"rendered":"<\/p>\n<p>11\/03\/2022<\/p>\n<\/p>\n<p class=\"MsoNormal\"><span lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\">Today we celebrate the 198th anniversary of the German physicist Gustav Kirchhoff who was born on March 12, 1824.<\/span><\/p>\n<p class=\"MsoNormal\"><span lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\">We highlight his contribution to the theory of electrical circuits, through the postulation of <em>Kirchhoff&#8217;s Laws<\/em>, valid in the time and frequency domains, and the basis for network analysis:<\/span><\/p>\n<p class=\"MsoNormal\"><span lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\">\u2022 <strong>Kirchhoff\u2019s current law:<\/strong> The algebraic sum of all the currents in an electrical node is equal to zero.<\/span><\/p>\n<p class=\"MsoNormal\"><span lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\">\u2022 <strong>Kirchhoff\u2019s voltage law:<\/strong> The algebraic sum of the potential differences (voltages) in a closed loop is equal to zero.<\/span><\/p>\n<p class=\"MsoNormal\"><span lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\">Both <em>Kirchhoff&#8217;s Laws<\/em> can be interpreted as corollaries of <em>Maxwell&#8217;s Equations<\/em> applicable for low frequencies: direct current DC or alternating current AC for frequencies where the wavelength of the electromagnetic radiation is much greater than the physical lengths of the circuits.<\/span><\/p>\n<p class=\"MsoNormal\"><span lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\">For example, for a network frequency of 50 Hz, <em>Kirchhoff&#8217;s Laws<\/em> will be valid for distances L &lt;&lt; <\/span><span lang=\"PT-BR\">\u03bb<\/span><span lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\"> = c \/ f = 300,000 Km\/s \/ 50Hz = 6,000 Km.<\/span><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>11\/03\/2022 Today we celebrate the 198th anniversary of the German physicist Gustav Kirchhoff who was born on March 12, 1824. We highlight his contribution to the theory of electrical circuits,&#8230;<\/p>\n","protected":false},"author":894,"featured_media":6582,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-12181","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/posts\/12181","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/users\/894"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/comments?post=12181"}],"version-history":[{"count":1,"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/posts\/12181\/revisions"}],"predecessor-version":[{"id":13408,"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/posts\/12181\/revisions\/13408"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/media\/6582"}],"wp:attachment":[{"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/media?parent=12181"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/categories?post=12181"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ingenieros-im3.com\/en\/wp-json\/wp\/v2\/tags?post=12181"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}