The value of the power factor at resonance in an LCR circuit is 1<\/strong>.<\/p>\n\n\n\n In an LCR circuit (comprising an inductor LLL, capacitor CCC, and a resistor RRR), resonance occurs when the reactances of the inductor and capacitor cancel each other out. This happens at a specific frequency called the resonant frequency<\/strong>, denoted as:f0=12\u03c0LCf_0 = \\frac{1}{2 \\pi \\sqrt{LC}}f0\u200b=2\u03c0LC\u200b1\u200b<\/p>\n\n\n\n At resonance, the inductive reactance XL=2\u03c0fLX_L = 2 \\pi f LXL\u200b=2\u03c0fL and the capacitive reactance XC=12\u03c0fCX_C = \\frac{1}{2 \\pi f C}XC\u200b=2\u03c0fC1\u200b are equal in magnitude but opposite in phase. As a result, their effects cancel each other, and the total reactance X=XL\u2212XC=0X = X_L – X_C = 0X=XL\u200b\u2212XC\u200b=0.<\/p>\n\n\n\n The power factor in an AC circuit is defined as the cosine of the phase angle \u03d5\\phi\u03d5 between the applied voltage and the current. It is given by:Power Factor=cos\u2061(\u03d5)\\text{Power Factor} = \\cos(\\phi)Power Factor=cos(\u03d5)<\/p>\n\n\n\n At resonance, because the total reactance is zero, the circuit behaves purely resistively. The current and voltage are in phase, meaning the phase angle \u03d5=0\\phi = 0\u03d5=0. Since:cos\u2061(0)=1\\cos(0) = 1cos(0)=1<\/p>\n\n\n\n the power factor at resonance is 1<\/strong>. This means that all the power supplied by the source is being used effectively in the circuit, and there is no reactive power (no phase difference between current and voltage).<\/p>\n\n\n\n At resonance, the LCR circuit is purely resistive, and the power factor reaches its maximum value of 1<\/strong>. This signifies that the circuit is operating with maximum efficiency, with all the energy being converted into useful power without any energy stored in the inductor or capacitor.<\/p>\n\n\n\n What is the value of power factor at resonance in LCR circuit? The Correct Answer and Explanation is: The value of the power factor at resonance in an LCR circuit is 1. Explanation: In an LCR circuit (comprising an inductor LLL, capacitor CCC, and a resistor RRR), resonance occurs when the reactances of the inductor […]<\/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-266269","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/266269","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=266269"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/266269\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=266269"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=266269"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=266269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
Power Factor:<\/h3>\n\n\n\n
Conclusion:<\/h3>\n\n\n\n
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<\/figure>\n","protected":false},"excerpt":{"rendered":"