{"id":232665,"date":"2025-06-12T05:11:28","date_gmt":"2025-06-12T05:11:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232665"},"modified":"2025-06-12T05:11:30","modified_gmt":"2025-06-12T05:11:30","slug":"the-effective-capacitance-of-a-capacitor-is-reduced-when-capacitors-are-connected-in","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/the-effective-capacitance-of-a-capacitor-is-reduced-when-capacitors-are-connected-in\/","title":{"rendered":"The effective capacitance of a capacitor is reduced when capacitors are connected in"},"content":{"rendered":"\n<p> The effective capacitance of a capacitor is reduced when capacitors are connected in: A. series-parallel combination B. parallel C. Series none of the these D<\/p>\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><strong>Correct Answer: C. Series<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<p>When capacitors are connected in different configurations, their <strong>effective capacitance<\/strong>\u2014which is the total capacitance of the entire system\u2014changes depending on how they are arranged.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>1. Capacitors in Series:<\/strong><\/h4>\n\n\n\n<p>When capacitors are connected <strong>in series<\/strong>, the total or effective capacitance <strong>decreases<\/strong>. The formula used to calculate the total capacitance CeqC_{\\text{eq}}Ceq\u200b of capacitors in series is:1Ceq=1C1+1C2+1C3+\u22ef\\frac{1}{C_{\\text{eq}}} = \\frac{1}{C_1} + \\frac{1}{C_2} + \\frac{1}{C_3} + \\cdotsCeq\u200b1\u200b=C1\u200b1\u200b+C2\u200b1\u200b+C3\u200b1\u200b+\u22ef<\/p>\n\n\n\n<p>This is because the <strong>charge on each capacitor is the same<\/strong>, but the <strong>voltage is divided<\/strong> among the capacitors. Since the reciprocal of the total capacitance is equal to the sum of the reciprocals of individual capacitances, the result is always <strong>smaller than the smallest individual capacitor<\/strong> in the series. This configuration is similar to adding resistors in parallel.<\/p>\n\n\n\n<p><strong>Example:<\/strong><br>If you connect three capacitors of 6 \u00b5F, 3 \u00b5F, and 2 \u00b5F in series, the effective capacitance is:1Ceq=16+13+12=1+2+36=66=1\u21d2Ceq=1\u03bcF\\frac{1}{C_{\\text{eq}}} = \\frac{1}{6} + \\frac{1}{3} + \\frac{1}{2} = \\frac{1+2+3}{6} = \\frac{6}{6} = 1 \\Rightarrow C_{\\text{eq}} = 1 \\mu FCeq\u200b1\u200b=61\u200b+31\u200b+21\u200b=61+2+3\u200b=66\u200b=1\u21d2Ceq\u200b=1\u03bcF<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>2. Capacitors in Parallel:<\/strong><\/h4>\n\n\n\n<p>In contrast, when capacitors are connected <strong>in parallel<\/strong>, their total capacitance is the <strong>sum<\/strong> of individual capacitances:Ceq=C1+C2+C3+\u22efC_{\\text{eq}} = C_1 + C_2 + C_3 + \\cdotsCeq\u200b=C1\u200b+C2\u200b+C3\u200b+\u22ef<\/p>\n\n\n\n<p>So, the effective capacitance <strong>increases<\/strong> in parallel combination.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>3. Series-Parallel Combination:<\/strong><\/h4>\n\n\n\n<p>In a <strong>series-parallel<\/strong> arrangement, some capacitors are in series and others in parallel. The resulting capacitance depends on the specific layout, but it is generally <strong>between<\/strong> the values you would get from pure series or pure parallel connections.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p>The effective capacitance <strong>decreases<\/strong> only in the <strong>series<\/strong> arrangement of capacitors. Therefore, the correct answer is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u2705 <strong>C. Series<\/strong><\/p>\n<\/blockquote>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-329.jpeg\" alt=\"\" class=\"wp-image-232666\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The effective capacitance of a capacitor is reduced when capacitors are connected in: A. series-parallel combination B. parallel C. Series none of the these D The Correct Answer and Explanation is: Correct Answer: C. Series Explanation: When capacitors are connected in different configurations, their effective capacitance\u2014which is the total capacitance of the entire system\u2014changes depending [&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-232665","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232665","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=232665"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232665\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232665"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232665"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232665"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}