{"id":65,"date":"2018-06-27T13:28:29","date_gmt":"2018-06-27T17:28:29","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/?post_type=chapter&#038;p=65"},"modified":"2019-01-28T13:08:38","modified_gmt":"2019-01-28T18:08:38","slug":"quadrants","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/chapter\/quadrants\/","title":{"raw":"Quadrants","rendered":"Quadrants"},"content":{"raw":"<h1>Like a Star Trek quadrant?<\/h1>\r\nFirst off: Nerd alert!\r\n\r\nSecondly,\u00a0 yes,\u00a0 a <strong>quadrant<\/strong> is a circle cut into four parts.\r\n<h1>What does this have to do with electricity?<\/h1>\r\nVoltage and currents are constantly changing magnitude and direction.\u00a0\u00a0When changing direction, they actually rotate in a counterclockwise direction.\u00a0\u00a0They are tethered to a <strong>point of origin<\/strong>.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_434\" align=\"aligncenter\" width=\"226\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-30-226x300.png\" alt=\"\" class=\"wp-image-434 size-medium\" width=\"226\" height=\"300\" \/> <strong>Figure 29. Quadrant point of origin<\/strong>[\/caption]\r\n\r\nEach quadrant contains certain directions.\r\n<ul>\r\n \t<li>Quadrant 1 has 0 to 90 degrees.<\/li>\r\n \t<li>Quadrant 2 has 90 to 180 degrees.<\/li>\r\n \t<li>Quadrant 3 has 180 to 270 degrees.<\/li>\r\n \t<li>Quadrant 4 has 270 to 360 degrees.<\/li>\r\n<\/ul>\r\nThis is very important as it helps us to determine which vectors belong in which quadrant.\r\n<h1>Polarity<\/h1>\r\nIt is also important to understand polarity when dealing with quadrants.\u00a0\u00a0A quadrant system is basically an X-Y graph.\u00a0\u00a0We use the <em>point of origin<\/em> as a reference point.\u00a0\u00a0On the X axis, anything to the right of the point of origin is positive and anything to the left is negative.\u00a0\u00a0On the Y axis, anything above the point of origin is positive and anything underneath it is negative.\u00a0\u00a0This means each quadrant has its own polarity, as shown in Figure 30.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_435\" align=\"aligncenter\" width=\"226\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-31-226x300.png\" alt=\"\" class=\"wp-image-435 size-medium\" width=\"226\" height=\"300\" \/> <strong>Figure 30. Quadrant polarity<\/strong>[\/caption]\r\n\r\nThis too is extremely important when it comes to adding vectors.\r\n\r\nAre you getting excited yet? \u00a0This is all going to come together in one magical dance.\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\" style=\"text-align: center\"><strong>Video!<\/strong><\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<p style=\"text-align: center\">This video goes into greater detail about the specifics of all four quadrants.<\/p>\r\n\r\n<div class=\"video-container\">\r\n\r\n[embed] https:\/\/youtu.be\/ljX1WqEZEBw [\/embed]\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<h1>Attributions<\/h1>\r\n<a href=\"https:\/\/youtu.be\/Aildd3S2eVI\">Quadrants and vectors<\/a>.\u00a0video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution Licence<\/a>.","rendered":"<h1>Like a Star Trek quadrant?<\/h1>\n<p>First off: Nerd alert!<\/p>\n<p>Secondly,\u00a0 yes,\u00a0 a <strong>quadrant<\/strong> is a circle cut into four parts.<\/p>\n<h1>What does this have to do with electricity?<\/h1>\n<p>Voltage and currents are constantly changing magnitude and direction.\u00a0\u00a0When changing direction, they actually rotate in a counterclockwise direction.\u00a0\u00a0They are tethered to a <strong>point of origin<\/strong>.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_434\" aria-describedby=\"caption-attachment-434\" style=\"width: 226px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-30-226x300.png\" alt=\"\" class=\"wp-image-434 size-medium\" width=\"226\" height=\"300\" srcset=\"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-30-226x300.png 226w, https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-30-65x86.png 65w, https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-30-225x298.png 225w, https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-30-350x464.png 350w, https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-30.png 724w\" sizes=\"auto, (max-width: 226px) 100vw, 226px\" \/><figcaption id=\"caption-attachment-434\" class=\"wp-caption-text\"><strong>Figure 29. Quadrant point of origin<\/strong><\/figcaption><\/figure>\n<p>Each quadrant contains certain directions.<\/p>\n<ul>\n<li>Quadrant 1 has 0 to 90 degrees.<\/li>\n<li>Quadrant 2 has 90 to 180 degrees.<\/li>\n<li>Quadrant 3 has 180 to 270 degrees.<\/li>\n<li>Quadrant 4 has 270 to 360 degrees.<\/li>\n<\/ul>\n<p>This is very important as it helps us to determine which vectors belong in which quadrant.<\/p>\n<h1>Polarity<\/h1>\n<p>It is also important to understand polarity when dealing with quadrants.\u00a0\u00a0A quadrant system is basically an X-Y graph.\u00a0\u00a0We use the <em>point of origin<\/em> as a reference point.\u00a0\u00a0On the X axis, anything to the right of the point of origin is positive and anything to the left is negative.\u00a0\u00a0On the Y axis, anything above the point of origin is positive and anything underneath it is negative.\u00a0\u00a0This means each quadrant has its own polarity, as shown in Figure 30.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_435\" aria-describedby=\"caption-attachment-435\" style=\"width: 226px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-31-226x300.png\" alt=\"\" class=\"wp-image-435 size-medium\" width=\"226\" height=\"300\" srcset=\"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-31-226x300.png 226w, https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-31-65x86.png 65w, https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-31-225x298.png 225w, https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-31-350x464.png 350w, https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-content\/uploads\/sites\/496\/2018\/12\/Figure-31.png 724w\" sizes=\"auto, (max-width: 226px) 100vw, 226px\" \/><figcaption id=\"caption-attachment-435\" class=\"wp-caption-text\"><strong>Figure 30. Quadrant polarity<\/strong><\/figcaption><\/figure>\n<p>This too is extremely important when it comes to adding vectors.<\/p>\n<p>Are you getting excited yet? \u00a0This is all going to come together in one magical dance.<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\" style=\"text-align: center\"><strong>Video!<\/strong><\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p style=\"text-align: center\">This video goes into greater detail about the specifics of all four quadrants.<\/p>\n<div class=\"video-container\">\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Quadrants and vectors\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/ljX1WqEZEBw?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<\/div>\n<\/div>\n<h1>Attributions<\/h1>\n<p><a href=\"https:\/\/youtu.be\/Aildd3S2eVI\">Quadrants and vectors<\/a>.\u00a0video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution Licence<\/a>.<\/p>\n","protected":false},"author":422,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-65","chapter","type-chapter","status-publish","hentry"],"part":57,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/65","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/users\/422"}],"version-history":[{"count":25,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/65\/revisions"}],"predecessor-version":[{"id":574,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/65\/revisions\/574"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/parts\/57"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/65\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/media?parent=65"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapter-type?post=65"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/contributor?post=65"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/license?post=65"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}