{"id":88796,"date":"2025-06-01T07:21:23","date_gmt":"2025-06-01T07:21:23","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88796"},"modified":"2025-06-01T07:21:23","modified_gmt":"2025-06-01T07:21:23","slug":"three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/","title":{"rendered":"Three equal resistors are connected in parallel configuration in a clo"},"content":{"rendered":"<p>Three equal resistors are connected in parallel configuration in a closed electrical circuit. Then the total resistance in the circuit becomes<\/p>\n<p>[amp_mcq option1=&#8221;one-third of the individual resistance.&#8221; option2=&#8221;two-third of the individual resistance.&#8221; option3=&#8221;equal to the individual resistance.&#8221; option4=&#8221;three times of the individual resistance.&#8221; correct=&#8221;option1&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC NDA-2 &#8211; 2021<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-nda-2-2021.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-nda-2-2021\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">When resistors are connected in parallel, the total resistance is calculated using the formula for parallel resistances. If three equal resistors, each with resistance R, are connected in parallel, the reciprocal of the total resistance ($R_{total}$) is the sum of the reciprocals of the individual resistances: $1\/R_{total} = 1\/R + 1\/R + 1\/R = 3\/R$. Therefore, $R_{total} = R\/3$. The total resistance becomes one-third of the individual resistance.<\/section>\n<section id=\"pyq-key-points\">For &#8216;n&#8217; equal resistors each of resistance &#8216;R&#8217; connected in parallel, the total resistance is $R_{total} = R\/n$. In this case, n=3, so $R_{total} = R\/3$.<\/section>\n<section id=\"pyq-additional-information\">In contrast, if the resistors were connected in series, the total resistance would be the sum of the individual resistances: $R_{total} = R + R + R = 3R$. Connecting resistors in parallel decreases the total resistance of the circuit, while connecting them in series increases it.<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Three equal resistors are connected in parallel configuration in a closed electrical circuit. Then the total resistance in the circuit becomes [amp_mcq option1=&#8221;one-third of the individual resistance.&#8221; option2=&#8221;two-third of the individual resistance.&#8221; option3=&#8221;equal to the individual resistance.&#8221; option4=&#8221;three times of the individual resistance.&#8221; correct=&#8221;option1&#8243;] This question was previously asked in UPSC NDA-2 &#8211; 2021 Download &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Three equal resistors are connected in parallel configuration in a clo\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/#more-88796\">Detailed Solution<span class=\"screen-reader-text\">Three equal resistors are connected in parallel configuration in a clo<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1094],"tags":[1110,1201,1128],"class_list":["post-88796","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1110","tag-electric-current","tag-physics","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 equal resistors are connected in parallel configuration in a clo<\/title>\n<meta name=\"description\" content=\"When resistors are connected in parallel, the total resistance is calculated using the formula for parallel resistances. If three equal resistors, each with resistance R, are connected in parallel, the reciprocal of the total resistance ($R_{total}$) is the sum of the reciprocals of the individual resistances: $1\/R_{total} = 1\/R + 1\/R + 1\/R = 3\/R$. Therefore, $R_{total} = R\/3$. The total resistance becomes one-third of the individual resistance. For &#039;n&#039; equal resistors each of resistance &#039;R&#039; connected in parallel, the total resistance is $R_{total} = R\/n$. In this case, n=3, so $R_{total} = R\/3$.\" \/>\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-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Three equal resistors are connected in parallel configuration in a clo\" \/>\n<meta property=\"og:description\" content=\"When resistors are connected in parallel, the total resistance is calculated using the formula for parallel resistances. If three equal resistors, each with resistance R, are connected in parallel, the reciprocal of the total resistance ($R_{total}$) is the sum of the reciprocals of the individual resistances: $1\/R_{total} = 1\/R + 1\/R + 1\/R = 3\/R$. Therefore, $R_{total} = R\/3$. The total resistance becomes one-third of the individual resistance. For &#039;n&#039; equal resistors each of resistance &#039;R&#039; connected in parallel, the total resistance is $R_{total} = R\/n$. In this case, n=3, so $R_{total} = R\/3$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:21:23+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 equal resistors are connected in parallel configuration in a clo","description":"When resistors are connected in parallel, the total resistance is calculated using the formula for parallel resistances. If three equal resistors, each with resistance R, are connected in parallel, the reciprocal of the total resistance ($R_{total}$) is the sum of the reciprocals of the individual resistances: $1\/R_{total} = 1\/R + 1\/R + 1\/R = 3\/R$. Therefore, $R_{total} = R\/3$. The total resistance becomes one-third of the individual resistance. For 'n' equal resistors each of resistance 'R' connected in parallel, the total resistance is $R_{total} = R\/n$. In this case, n=3, so $R_{total} = R\/3$.","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-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/","og_locale":"en_US","og_type":"article","og_title":"Three equal resistors are connected in parallel configuration in a clo","og_description":"When resistors are connected in parallel, the total resistance is calculated using the formula for parallel resistances. If three equal resistors, each with resistance R, are connected in parallel, the reciprocal of the total resistance ($R_{total}$) is the sum of the reciprocals of the individual resistances: $1\/R_{total} = 1\/R + 1\/R + 1\/R = 3\/R$. Therefore, $R_{total} = R\/3$. The total resistance becomes one-third of the individual resistance. For 'n' equal resistors each of resistance 'R' connected in parallel, the total resistance is $R_{total} = R\/n$. In this case, n=3, so $R_{total} = R\/3$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:21:23+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-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/","url":"https:\/\/exam.pscnotes.com\/mcq\/three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/","name":"Three equal resistors are connected in parallel configuration in a clo","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:21:23+00:00","dateModified":"2025-06-01T07:21:23+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"When resistors are connected in parallel, the total resistance is calculated using the formula for parallel resistances. If three equal resistors, each with resistance R, are connected in parallel, the reciprocal of the total resistance ($R_{total}$) is the sum of the reciprocals of the individual resistances: $1\/R_{total} = 1\/R + 1\/R + 1\/R = 3\/R$. Therefore, $R_{total} = R\/3$. The total resistance becomes one-third of the individual resistance. For 'n' equal resistors each of resistance 'R' connected in parallel, the total resistance is $R_{total} = R\/n$. In this case, n=3, so $R_{total} = R\/3$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/three-equal-resistors-are-connected-in-parallel-configuration-in-a-clo\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-2\/"},{"@type":"ListItem","position":3,"name":"Three equal resistors are connected in parallel configuration in a clo"}]},{"@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\/88796","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=88796"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/88796\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=88796"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=88796"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=88796"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}