{"id":44516,"date":"2024-04-15T21:44:51","date_gmt":"2024-04-15T21:44:51","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=44516"},"modified":"2024-04-15T21:44:51","modified_gmt":"2024-04-15T21:44:51","slug":"if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/","title":{"rendered":"If two sine waves of the same frequency have a phase difference of JT radians, then"},"content":{"rendered":"

[amp_mcq option1=”Both will reach their minimum values at the same instant” option2=”Both will reach their maximum values at the same instant” option3=”When one wave reaches its maxi\u00c2\u00acmum value, the other will reach its minimum value” option4=”None of the above” correct=”option3″]<\/p>\n

The correct answer is: C. When one wave reaches its maximum value, the other will reach its minimum value.<\/strong><\/p>\n

A sine wave is a periodic function of time that repeats its values over and over again. The frequency of a sine wave is the number of times it repeats its values in one second. The phase of a sine wave is the position of the wave relative to its starting point.<\/p>\n

Two sine waves of the same frequency have a phase difference of $\\pi$ radians if they are out of phase by one-half cycle. This means that when one wave reaches its maximum value, the other wave will reach its minimum value.<\/p>\n

Here is a diagram of two sine waves with a phase difference of $\\pi$ radians:<\/p>\n

[asy]
\nunitsize(1 cm);<\/p>\n

draw((0,-1.2)–(0,1.2));
\ndraw((0,0)–(4*pi,0));<\/p>\n

real g(real t) {
\n return sin(t);
\n}<\/p>\n

real h(real t) {
\n return -sin(t + pi);
\n}<\/p>\n

draw(graph(g,0,4pi),red);
\ndraw(graph(h,0,4<\/em>pi),blue);<\/p>\n

label(“$y = g(t)$”, (2pi,1), E);
\nlabel(“$y = h(t)$”, (2<\/em>pi,-1), E);
\n[\/asy]<\/p>\n

As you can see, the two waves are out of phase by one-half cycle. When one wave reaches its maximum value, the other wave reaches its minimum value.<\/p>\n","protected":false},"excerpt":{"rendered":"

[amp_mcq option1=”Both will reach their minimum values at the same instant” option2=”Both will reach their maximum values at the same instant” option3=”When one wave reaches its maxi\u00c2\u00acmum value, the other will reach its minimum value” option4=”None of the above” correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[739],"tags":[],"class_list":["post-44516","post","type-post","status-publish","format-standard","hentry","category-a-c-fundamentals-circuits-and-circuit-theory","no-featured-image-padding"],"yoast_head":"\nIf two sine waves of the same frequency have a phase difference of JT radians, then<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If two sine waves of the same frequency have a phase difference of JT radians, then\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=”Both will reach their minimum values at the same instant” option2=”Both will reach their maximum values at the same instant” option3=”When one wave reaches its maxi\u00c2\u00acmum value, the other will reach its minimum value” option4=”None of the above” correct=”option3″]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T21:44:51+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"If two sine waves of the same frequency have a phase difference of JT radians, then","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/","og_locale":"en_US","og_type":"article","og_title":"If two sine waves of the same frequency have a phase difference of JT radians, then","og_description":"[amp_mcq option1=”Both will reach their minimum values at the same instant” option2=”Both will reach their maximum values at the same instant” option3=”When one wave reaches its maxi\u00c2\u00acmum value, the other will reach its minimum value” option4=”None of the above” correct=”option3″]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T21:44:51+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/","name":"If two sine waves of the same frequency have a phase difference of JT radians, then","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T21:44:51+00:00","dateModified":"2024-04-15T21:44:51+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-two-sine-waves-of-the-same-frequency-have-a-phase-difference-of-jt-radians-then\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Electrical engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/electrical-engineering\/"},{"@type":"ListItem","position":4,"name":"A.c fundamentals, circuits and circuit theory","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/electrical-engineering\/a-c-fundamentals-circuits-and-circuit-theory\/"},{"@type":"ListItem","position":5,"name":"If two sine waves of the same frequency have a phase difference of JT radians, then"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/44516","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=44516"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/44516\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=44516"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=44516"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=44516"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}