{"id":43275,"date":"2024-04-15T21:27:07","date_gmt":"2024-04-15T21:27:07","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=43275"},"modified":"2024-04-15T21:27:07","modified_gmt":"2024-04-15T21:27:07","slug":"three-capacitors-each-of-the-capacity-c-are-given-the-resultant-capacity-2-3-c-can-be-obtained-by-using-them","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/three-capacitors-each-of-the-capacity-c-are-given-the-resultant-capacity-2-3-c-can-be-obtained-by-using-them\/","title":{"rendered":"Three capacitors each of the capacity C are given. The resultant capacity 2\/3 C can be obtained by using them"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;all in series&#8221; option2=&#8221;all in parallel&#8221; option3=&#8221;two in parallel and third in series with this combination&#8221; option4=&#8221;two in series and third in parallel across this combination&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is C. two in parallel and third in series with this combination.<\/p>\n<p>The equivalent capacitance of two capacitors in parallel is the sum of their individual capacitances. The equivalent capacitance of two capacitors in series is the product of their individual capacitances divided by their sum.<\/p>\n<p>If we have three capacitors each of the capacity $C$, we can connect them in the following ways:<\/p>\n<ul>\n<li>All in series: The equivalent capacitance of three capacitors in series is $C\/3$.<\/li>\n<li>All in parallel: The equivalent capacitance of three capacitors in parallel is $3C$.<\/li>\n<li>Two in parallel and third in series with this combination: The equivalent capacitance of two capacitors in parallel is $2C$. The equivalent capacitance of this combination and the third capacitor in series is $2C + C = 3C$.<\/li>\n<\/ul>\n<p>Therefore, the only way to obtain a resultant capacitance of $2\/3C$ is to connect two capacitors in parallel and the third capacitor in series with this combination.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;all in series&#8221; option2=&#8221;all in parallel&#8221; option3=&#8221;two in parallel and third in series with this combination&#8221; option4=&#8221;two in series and third in parallel across this combination&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[971],"tags":[],"class_list":["post-43275","post","type-post","status-publish","format-standard","hentry","category-electrostatics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Three capacitors each of the capacity C are given. The resultant capacity 2\/3 C can be obtained by using them<\/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\/three-capacitors-each-of-the-capacity-c-are-given-the-resultant-capacity-2-3-c-can-be-obtained-by-using-them\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Three capacitors each of the capacity C are given. The resultant capacity 2\/3 C can be obtained by using them\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;all in series&#8221; option2=&#8221;all in parallel&#8221; option3=&#8221;two in parallel and third in series with this combination&#8221; option4=&#8221;two in series and third in parallel across this combination&#8221; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/three-capacitors-each-of-the-capacity-c-are-given-the-resultant-capacity-2-3-c-can-be-obtained-by-using-them\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T21:27:07+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":"Three capacitors each of the capacity C are given. The resultant capacity 2\/3 C can be obtained by using them","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\/three-capacitors-each-of-the-capacity-c-are-given-the-resultant-capacity-2-3-c-can-be-obtained-by-using-them\/","og_locale":"en_US","og_type":"article","og_title":"Three capacitors each of the capacity C are given. The resultant capacity 2\/3 C can be obtained by using them","og_description":"[amp_mcq option1=&#8221;all in series&#8221; option2=&#8221;all in parallel&#8221; option3=&#8221;two in parallel and third in series with this combination&#8221; option4=&#8221;two in series and third in parallel across this combination&#8221; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/three-capacitors-each-of-the-capacity-c-are-given-the-resultant-capacity-2-3-c-can-be-obtained-by-using-them\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T21:27:07+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\/three-capacitors-each-of-the-capacity-c-are-given-the-resultant-capacity-2-3-c-can-be-obtained-by-using-them\/","url":"https:\/\/exam.pscnotes.com\/mcq\/three-capacitors-each-of-the-capacity-c-are-given-the-resultant-capacity-2-3-c-can-be-obtained-by-using-them\/","name":"Three capacitors each of the capacity C are given. 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