{"id":87473,"date":"2025-06-01T06:44:52","date_gmt":"2025-06-01T06:44:52","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87473"},"modified":"2025-06-01T06:44:52","modified_gmt":"2025-06-01T06:44:52","slug":"a-circular-coil-of-single-turn-has-a-resistance-of-20-%cf%89-which-one-of","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-circular-coil-of-single-turn-has-a-resistance-of-20-%cf%89-which-one-of\/","title":{"rendered":"A circular coil of single turn has a resistance of 20 \u03a9. Which one of"},"content":{"rendered":"

A circular coil of single turn has a resistance of 20 \u03a9. Which one of the following is the correct value for the resistance between the ends of any diameter of the coil?<\/p>\n

[amp_mcq option1=”5 \u03a9” option2=”10 \u03a9” option3=”20 \u03a9” option4=”40 \u03a9” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2017<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct answer is 5 \u03a9. When a circular coil of uniform resistance is connected across a diameter, the coil is divided into two equal semicircles. These two semicircular wires act as two resistors connected in parallel between the points where the diameter touches the circle.
\n<\/section>\n
\nLet the total resistance of the circular coil be R. The resistance of each semicircle is R\/2. When these two semicircles are connected in parallel, the equivalent resistance (R_eq) is given by the formula for resistors in parallel: 1\/R_eq = 1\/R\u2081 + 1\/R\u2082. Here, R\u2081 = R\u2082 = R\/2.
\nSo, 1\/R_eq = 1\/(R\/2) + 1\/(R\/2) = 2\/R + 2\/R = 4\/R.
\nTherefore, R_eq = R\/4.
\n<\/section>\n
\nGiven the total resistance of the coil is 20 \u03a9. Using the formula R_eq = R\/4, the equivalent resistance between the ends of any diameter is 20 \u03a9 \/ 4 = 5 \u03a9. This method is applicable for any uniform wire bent into a circle. The connection across a diameter always results in an equivalent resistance that is one-fourth of the total resistance of the circular wire.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A circular coil of single turn has a resistance of 20 \u03a9. Which one of the following is the correct value for the resistance between the ends of any diameter of the coil? [amp_mcq option1=”5 \u03a9” option2=”10 \u03a9” option3=”20 \u03a9” option4=”40 \u03a9” correct=”option1″] This question was previously asked in UPSC NDA-1 – 2017 Download PDFAttempt … <\/p>\n

Detailed SolutionA circular coil of single turn has a resistance of 20 \u03a9. Which one of<\/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":[1093],"tags":[1101,1201,1128],"class_list":["post-87473","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1101","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\nA circular coil of single turn has a resistance of 20 \u03a9. Which one of<\/title>\n<meta name=\"description\" content=\"The correct answer is 5 \u03a9. When a circular coil of uniform resistance is connected across a diameter, the coil is divided into two equal semicircles. These two semicircular wires act as two resistors connected in parallel between the points where the diameter touches the circle. Let the total resistance of the circular coil be R. The resistance of each semicircle is R\/2. When these two semicircles are connected in parallel, the equivalent resistance (R_eq) is given by the formula for resistors in parallel: 1\/R_eq = 1\/R\u2081 + 1\/R\u2082. Here, R\u2081 = R\u2082 = R\/2. So, 1\/R_eq = 1\/(R\/2) + 1\/(R\/2) = 2\/R + 2\/R = 4\/R. Therefore, R_eq = R\/4.\" \/>\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\/a-circular-coil-of-single-turn-has-a-resistance-of-20-\u03c9-which-one-of\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A circular coil of single turn has a resistance of 20 \u03a9. Which one of\" \/>\n<meta property=\"og:description\" content=\"The correct answer is 5 \u03a9. When a circular coil of uniform resistance is connected across a diameter, the coil is divided into two equal semicircles. These two semicircular wires act as two resistors connected in parallel between the points where the diameter touches the circle. Let the total resistance of the circular coil be R. The resistance of each semicircle is R\/2. When these two semicircles are connected in parallel, the equivalent resistance (R_eq) is given by the formula for resistors in parallel: 1\/R_eq = 1\/R\u2081 + 1\/R\u2082. Here, R\u2081 = R\u2082 = R\/2. So, 1\/R_eq = 1\/(R\/2) + 1\/(R\/2) = 2\/R + 2\/R = 4\/R. Therefore, R_eq = R\/4.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-circular-coil-of-single-turn-has-a-resistance-of-20-\u03c9-which-one-of\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:44:52+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":"A circular coil of single turn has a resistance of 20 \u03a9. Which one of","description":"The correct answer is 5 \u03a9. When a circular coil of uniform resistance is connected across a diameter, the coil is divided into two equal semicircles. These two semicircular wires act as two resistors connected in parallel between the points where the diameter touches the circle. Let the total resistance of the circular coil be R. The resistance of each semicircle is R\/2. When these two semicircles are connected in parallel, the equivalent resistance (R_eq) is given by the formula for resistors in parallel: 1\/R_eq = 1\/R\u2081 + 1\/R\u2082. Here, R\u2081 = R\u2082 = R\/2. So, 1\/R_eq = 1\/(R\/2) + 1\/(R\/2) = 2\/R + 2\/R = 4\/R. Therefore, R_eq = R\/4.","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\/a-circular-coil-of-single-turn-has-a-resistance-of-20-\u03c9-which-one-of\/","og_locale":"en_US","og_type":"article","og_title":"A circular coil of single turn has a resistance of 20 \u03a9. Which one of","og_description":"The correct answer is 5 \u03a9. When a circular coil of uniform resistance is connected across a diameter, the coil is divided into two equal semicircles. These two semicircular wires act as two resistors connected in parallel between the points where the diameter touches the circle. Let the total resistance of the circular coil be R. The resistance of each semicircle is R\/2. When these two semicircles are connected in parallel, the equivalent resistance (R_eq) is given by the formula for resistors in parallel: 1\/R_eq = 1\/R\u2081 + 1\/R\u2082. Here, R\u2081 = R\u2082 = R\/2. So, 1\/R_eq = 1\/(R\/2) + 1\/(R\/2) = 2\/R + 2\/R = 4\/R. Therefore, R_eq = R\/4.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-circular-coil-of-single-turn-has-a-resistance-of-20-\u03c9-which-one-of\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:44:52+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\/a-circular-coil-of-single-turn-has-a-resistance-of-20-%cf%89-which-one-of\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-circular-coil-of-single-turn-has-a-resistance-of-20-%cf%89-which-one-of\/","name":"A circular coil of single turn has a resistance of 20 \u03a9. Which one of","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:44:52+00:00","dateModified":"2025-06-01T06:44:52+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is 5 \u03a9. When a circular coil of uniform resistance is connected across a diameter, the coil is divided into two equal semicircles. These two semicircular wires act as two resistors connected in parallel between the points where the diameter touches the circle. Let the total resistance of the circular coil be R. The resistance of each semicircle is R\/2. When these two semicircles are connected in parallel, the equivalent resistance (R_eq) is given by the formula for resistors in parallel: 1\/R_eq = 1\/R\u2081 + 1\/R\u2082. Here, R\u2081 = R\u2082 = R\/2. So, 1\/R_eq = 1\/(R\/2) + 1\/(R\/2) = 2\/R + 2\/R = 4\/R. Therefore, R_eq = R\/4.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-circular-coil-of-single-turn-has-a-resistance-of-20-%cf%89-which-one-of\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-circular-coil-of-single-turn-has-a-resistance-of-20-%cf%89-which-one-of\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-circular-coil-of-single-turn-has-a-resistance-of-20-%cf%89-which-one-of\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-1","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-1\/"},{"@type":"ListItem","position":3,"name":"A circular coil of single turn has a resistance of 20 \u03a9. Which one of"}]},{"@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\/87473","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=87473"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87473\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=87473"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=87473"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=87473"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}