{"id":88013,"date":"2025-06-01T06:59:38","date_gmt":"2025-06-01T06:59:38","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88013"},"modified":"2025-06-01T06:59:38","modified_gmt":"2025-06-01T06:59:38","slug":"what-is-the-total-resistance-in-the-following-circuit-element-image","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-total-resistance-in-the-following-circuit-element-image\/","title":{"rendered":"What is the total resistance in the following circuit element ?\n[Image"},"content":{"rendered":"

What is the total resistance in the following circuit element ?
\n[Image of a circuit diagram with three resistors labelled R. Two are in parallel, and this combination is in series with the third resistor.]<\/p>\n

[amp_mcq option1=”R\/2″ option2=”3R” option3=”3R\/2″ option4=”2R\/3″ correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe circuit element consists of three resistors, each with resistance R. Two of the resistors are connected in parallel, and this parallel combination is connected in series with the third resistor. To find the total resistance, we first calculate the equivalent resistance of the parallel part and then add it to the resistance of the series part.
\n<\/section>\n
\n– For resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances: $\\frac{1}{R_p} = \\frac{1}{R_1} + \\frac{1}{R_2} + …$
\n– For resistors in series, the equivalent resistance is the sum of individual resistances: $R_s = R_1 + R_2 + …$
\n<\/section>\n
\nLet the resistance of each resistor be R.
\nThe two resistors in parallel have equivalent resistance $R_p$.
\n$\\frac{1}{R_p} = \\frac{1}{R} + \\frac{1}{R} = \\frac{2}{R}$.
\n$R_p = \\frac{R}{2}$.
\nThis parallel combination ($R_p$) is in series with the third resistor (R).
\nThe total resistance $R_{total}$ is the sum of the series components:
\n$R_{total} = R_p + R = \\frac{R}{2} + R = \\frac{R + 2R}{2} = \\frac{3R}{2}$.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

What is the total resistance in the following circuit element ? [Image of a circuit diagram with three resistors labelled R. Two are in parallel, and this combination is in series with the third resistor.] [amp_mcq option1=”R\/2″ option2=”3R” option3=”3R\/2″ option4=”2R\/3″ correct=”option3″] This question was previously asked in UPSC NDA-1 – 2023 Download PDFAttempt Online The … <\/p>\n

Detailed SolutionWhat is the total resistance in the following circuit element ?
\n[Image<\/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":[1105,1201,1128],"class_list":["post-88013","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1105","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\nWhat is the total resistance in the following circuit element ? [Image<\/title>\n<meta name=\"description\" content=\"The circuit element consists of three resistors, each with resistance R. Two of the resistors are connected in parallel, and this parallel combination is connected in series with the third resistor. To find the total resistance, we first calculate the equivalent resistance of the parallel part and then add it to the resistance of the series part. - For resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances: $frac{1}{R_p} = frac{1}{R_1} + frac{1}{R_2} + ...$ - For resistors in series, the equivalent resistance is the sum of individual resistances: $R_s = R_1 + R_2 + ...$\" \/>\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\/what-is-the-total-resistance-in-the-following-circuit-element-image\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the total resistance in the following circuit element ? [Image\" \/>\n<meta property=\"og:description\" content=\"The circuit element consists of three resistors, each with resistance R. Two of the resistors are connected in parallel, and this parallel combination is connected in series with the third resistor. To find the total resistance, we first calculate the equivalent resistance of the parallel part and then add it to the resistance of the series part. - For resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances: $frac{1}{R_p} = frac{1}{R_1} + frac{1}{R_2} + ...$ - For resistors in series, the equivalent resistance is the sum of individual resistances: $R_s = R_1 + R_2 + ...$\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-total-resistance-in-the-following-circuit-element-image\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:59:38+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":"What is the total resistance in the following circuit element ? [Image","description":"The circuit element consists of three resistors, each with resistance R. Two of the resistors are connected in parallel, and this parallel combination is connected in series with the third resistor. To find the total resistance, we first calculate the equivalent resistance of the parallel part and then add it to the resistance of the series part. - For resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances: $frac{1}{R_p} = frac{1}{R_1} + frac{1}{R_2} + ...$ - For resistors in series, the equivalent resistance is the sum of individual resistances: $R_s = R_1 + R_2 + ...$","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\/what-is-the-total-resistance-in-the-following-circuit-element-image\/","og_locale":"en_US","og_type":"article","og_title":"What is the total resistance in the following circuit element ? [Image","og_description":"The circuit element consists of three resistors, each with resistance R. Two of the resistors are connected in parallel, and this parallel combination is connected in series with the third resistor. To find the total resistance, we first calculate the equivalent resistance of the parallel part and then add it to the resistance of the series part. - For resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances: $frac{1}{R_p} = frac{1}{R_1} + frac{1}{R_2} + ...$ - For resistors in series, the equivalent resistance is the sum of individual resistances: $R_s = R_1 + R_2 + ...$","og_url":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-total-resistance-in-the-following-circuit-element-image\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:59:38+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\/what-is-the-total-resistance-in-the-following-circuit-element-image\/","url":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-total-resistance-in-the-following-circuit-element-image\/","name":"What is the total resistance in the following circuit element ? 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To find the total resistance, we first calculate the equivalent resistance of the parallel part and then add it to the resistance of the series part. - For resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances: $\\frac{1}{R_p} = \\frac{1}{R_1} + \\frac{1}{R_2} + ...$ - For resistors in series, the equivalent resistance is the sum of individual resistances: $R_s = R_1 + R_2 + ...$","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-total-resistance-in-the-following-circuit-element-image\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/what-is-the-total-resistance-in-the-following-circuit-element-image\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-total-resistance-in-the-following-circuit-element-image\/#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":"What is the total resistance in the following circuit element ? 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