{"id":211054,"date":"2025-05-02T14:57:40","date_gmt":"2025-05-02T14:57:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=211054"},"modified":"2025-05-02T14:57:42","modified_gmt":"2025-05-02T14:57:42","slug":"how-many-degrees-are-the-current-and-voltage-out-of-phase-with-each-other-in-a-pure-resistive-circuit","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/02\/how-many-degrees-are-the-current-and-voltage-out-of-phase-with-each-other-in-a-pure-resistive-circuit\/","title":{"rendered":"How many degrees are the current and voltage out of phase with each other in a pure resistive circuit"},"content":{"rendered":"\n<p>How many degrees are the current and voltage out of phase with each other in a pure resistive circuit?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>In a <strong>pure resistive circuit<\/strong>, the <strong>current and voltage are 0 degrees out of phase<\/strong> with each other.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (Approx. 300 words):<\/h3>\n\n\n\n<p>In electrical circuits, <strong>phase difference<\/strong> refers to the angular displacement between the voltage waveform and the current waveform. This displacement is measured in <strong>degrees<\/strong> (\u00b0). A phase difference of 0\u00b0 means both waveforms reach their peaks, zero crossings, and troughs at the same time.<\/p>\n\n\n\n<p>In a <strong>purely resistive circuit<\/strong>, the circuit contains only resistance (such as a resistor) and no reactive components like inductors or capacitors. According to <strong>Ohm\u2019s Law<\/strong>, which states that $V = IR$, the voltage across a resistor is directly proportional to the current flowing through it. This linear relationship means that both the voltage and the current waveforms will rise and fall together.<\/p>\n\n\n\n<p>In an <strong>AC (alternating current)<\/strong> resistive circuit, both voltage and current waveforms are sinusoidal. Because there&#8217;s no energy storage (as there would be with capacitors or inductors), there is <strong>no phase shift<\/strong> introduced between the current and voltage. They are said to be <strong>&#8220;in phase&#8221;<\/strong>, meaning the current and voltage reach their maximum, minimum, and zero values at the same time.<\/p>\n\n\n\n<p>Mathematically:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Voltage: $V(t) = V_m \\sin(\\omega t)$<\/li>\n\n\n\n<li>Current: $I(t) = I_m \\sin(\\omega t)$<\/li>\n<\/ul>\n\n\n\n<p>Here, both functions are sine waves with the same phase angle, so the <strong>phase difference is 0\u00b0<\/strong>.<\/p>\n\n\n\n<p>This in-phase behavior has important implications in power calculations. For a purely resistive circuit, the <strong>power factor<\/strong> (which is the cosine of the phase angle) is:<\/p>\n\n\n\n<p>$$<br>\\text{Power Factor} = \\cos(0^\\circ) = 1<br>$$<\/p>\n\n\n\n<p>A power factor of 1 means that all the power supplied by the source is used by the load as real power, with no reactive (wasted) power.<\/p>\n\n\n\n<p>In contrast, inductive or capacitive circuits do show phase shifts due to energy being temporarily stored and released by the field components.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Answer: 0 degrees<\/strong> \u2014 in a pure resistive circuit, voltage and current are in phase.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How many degrees are the current and voltage out of phase with each other in a pure resistive circuit? The correct answer and explanation is : In a pure resistive circuit, the current and voltage are 0 degrees out of phase with each other. Explanation (Approx. 300 words): In electrical circuits, phase difference refers to [&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-211054","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211054","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=211054"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211054\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=211054"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=211054"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=211054"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}