{"id":253285,"date":"2025-07-12T03:16:21","date_gmt":"2025-07-12T03:16:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=253285"},"modified":"2025-07-12T03:16:24","modified_gmt":"2025-07-12T03:16:24","slug":"consider-each-of-the-electric-and-magnetic-field-orientations-given-next","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/12\/consider-each-of-the-electric-and-magnetic-field-orientations-given-next\/","title":{"rendered":"Consider each of the electric- and magnetic-field orientations given next."},"content":{"rendered":"\n<p>Consider each of the electric- and magnetic-field orientations given next. In each case, what is the direction of propagation of the wave? (a)<br>in the x<br>-direction, b <br>in the y <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>direction; (b)<br>in the y<\/li>\n\n\n\n<li>direction x<br>in the b<br>-direction;<br>in the z<br>-direction,<br>in the y<br>-direction; (d)<br>in the e<br>-direction,<br>in the z<br>-direction.<\/li>\n<\/ul>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To determine the direction of propagation of the electromagnetic wave, we can use the <strong>right-hand rule<\/strong>. The direction of propagation is given by the vector cross product of the electric field <strong>E<\/strong> and the magnetic field <strong>B<\/strong>. Specifically:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Direction of propagation<\/strong>: v=E\u00d7B\\mathbf{v} = \\mathbf{E} \\times \\mathbf{B}v=E\u00d7B<\/li>\n<\/ul>\n\n\n\n<p>Now, let&#8217;s analyze each case one by one.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(a) E\\mathbf{E}E in the x-direction, B\\mathbf{B}B in the y-direction<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Given that the electric field is along the x-axis, and the magnetic field is along the y-axis, we can find the direction of the wave propagation by calculating the cross product: v=E\u00d7B\\mathbf{v} = \\mathbf{E} \\times \\mathbf{B}v=E\u00d7B According to the right-hand rule, if you point your fingers in the direction of <strong>E<\/strong> (x-axis) and curl them toward <strong>B<\/strong> (y-axis), your thumb will point in the direction of <strong>v<\/strong> (the direction of wave propagation).<br>The resulting direction of propagation will be along the <strong>z-axis<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the wave propagates in the <strong>z-direction<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(b) E\\mathbf{E}E in the z-direction, B\\mathbf{B}B in the x-direction<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Here, the electric field is along the z-axis, and the magnetic field is along the x-axis. Using the right-hand rule again: v=E\u00d7B\\mathbf{v} = \\mathbf{E} \\times \\mathbf{B}v=E\u00d7B Point your fingers in the direction of <strong>E<\/strong> (z-axis) and curl them toward <strong>B<\/strong> (x-axis), your thumb will point in the <strong>y-direction<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the wave propagates in the <strong>y-direction<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(c) E\\mathbf{E}E in the z-direction, B\\mathbf{B}B in the y-direction<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In this case, the electric field is along the z-axis, and the magnetic field is along the y-axis: v=E\u00d7B\\mathbf{v} = \\mathbf{E} \\times \\mathbf{B}v=E\u00d7B Point your fingers in the direction of <strong>E<\/strong> (z-axis) and curl them toward <strong>B<\/strong> (y-axis), your thumb will point in the <strong>x-direction<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the wave propagates in the <strong>x-direction<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(d) E\\mathbf{E}E in the y-direction, B\\mathbf{B}B in the z-direction<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Finally, for the electric field along the y-axis and the magnetic field along the z-axis: v=E\u00d7B\\mathbf{v} = \\mathbf{E} \\times \\mathbf{B}v=E\u00d7B Point your fingers in the direction of <strong>E<\/strong> (y-axis) and curl them toward <strong>B<\/strong> (z-axis), your thumb will point in the <strong>x-direction<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the wave propagates in the <strong>x-direction<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(a) Propagation in the z-direction<\/li>\n\n\n\n<li>(b) Propagation in the y-direction<\/li>\n\n\n\n<li>(c) Propagation in the x-direction<\/li>\n\n\n\n<li>(d) Propagation in the x-direction<\/li>\n<\/ul>\n\n\n\n<p>This relationship between the electric and magnetic fields and the wave propagation direction is a fundamental principle of electromagnetic waves, governed by Maxwell&#8217;s equations.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner9-118.jpeg\" alt=\"\" class=\"wp-image-253286\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Consider each of the electric- and magnetic-field orientations given next. In each case, what is the direction of propagation of the wave? (a)in the x-direction, b in the y The Correct Answer and Explanation is: To determine the direction of propagation of the electromagnetic wave, we can use the right-hand rule. The direction of propagation [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","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":"","ast-disable-related-posts":"","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":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-253285","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/253285","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=253285"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/253285\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=253285"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=253285"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=253285"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}