{"id":87397,"date":"2025-06-01T06:42:22","date_gmt":"2025-06-01T06:42:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87397"},"modified":"2025-06-01T06:42:22","modified_gmt":"2025-06-01T06:42:22","slug":"a-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/","title":{"rendered":"A given conductor carrying a current of 1 A produces an amount of heat"},"content":{"rendered":"

A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J. If the current through the conductor is doubled, the amount of heat produced will be<\/p>\n

[amp_mcq option1=”2000 J” option2=”4000 J” option3=”8000 J” option4=”1000 J” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2016<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe amount of heat produced will be 8000 J.
\n<\/section>\n
\nAccording to Joule’s Law of Heating, the heat produced (H) in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t) for which the current flows: H = I\u00b2Rt. Assuming the resistance of the conductor and the time duration are constant, the heat produced is proportional to the square of the current (H \u221d I\u00b2).
\nGiven that H1 = 2000 J for I1 = 1 A.
\nWhen the current is doubled, I2 = 2 * I1 = 2 A.
\nThe new heat produced H2 will be proportional to (I2)\u00b2:
\nH2 \/ H1 = (I2)\u00b2 \/ (I1)\u00b2
\nH2 \/ 2000 = (2I1)\u00b2 \/ (I1)\u00b2
\nH2 \/ 2000 = 4 * (I1)\u00b2 \/ (I1)\u00b2
\nH2 \/ 2000 = 4
\nH2 = 4 * 2000 J = 8000 J.
\n<\/section>\n
\nJoule’s law explains why wires and electrical components heat up when current passes through them. This principle is used in various applications like electric heaters, toasters, and fuses. The power dissipated as heat is given by P = I\u00b2R, and the total heat produced over time t is H = Pt = I\u00b2Rt.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J. If the current through the conductor is doubled, the amount of heat produced will be [amp_mcq option1=”2000 J” option2=”4000 J” option3=”8000 J” option4=”1000 J” correct=”option3″] This question was previously asked in UPSC NDA-1 – 2016 Download PDFAttempt … <\/p>\n

Detailed SolutionA given conductor carrying a current of 1 A produces an amount of heat<\/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":[1098,1201,1128],"class_list":["post-87397","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1098","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\nA given conductor carrying a current of 1 A produces an amount of heat<\/title>\n<meta name=\"description\" content=\"The amount of heat produced will be 8000 J. According to Joule's Law of Heating, the heat produced (H) in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t) for which the current flows: H = I\u00b2Rt. Assuming the resistance of the conductor and the time duration are constant, the heat produced is proportional to the square of the current (H \u221d I\u00b2). Given that H1 = 2000 J for I1 = 1 A. When the current is doubled, I2 = 2 * I1 = 2 A. The new heat produced H2 will be proportional to (I2)\u00b2: H2 \/ H1 = (I2)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = (2I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 * (I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 H2 = 4 * 2000 J = 8000 J.\" \/>\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-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A given conductor carrying a current of 1 A produces an amount of heat\" \/>\n<meta property=\"og:description\" content=\"The amount of heat produced will be 8000 J. According to Joule's Law of Heating, the heat produced (H) in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t) for which the current flows: H = I\u00b2Rt. Assuming the resistance of the conductor and the time duration are constant, the heat produced is proportional to the square of the current (H \u221d I\u00b2). Given that H1 = 2000 J for I1 = 1 A. When the current is doubled, I2 = 2 * I1 = 2 A. The new heat produced H2 will be proportional to (I2)\u00b2: H2 \/ H1 = (I2)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = (2I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 * (I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 H2 = 4 * 2000 J = 8000 J.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:42:22+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 given conductor carrying a current of 1 A produces an amount of heat","description":"The amount of heat produced will be 8000 J. According to Joule's Law of Heating, the heat produced (H) in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t) for which the current flows: H = I\u00b2Rt. Assuming the resistance of the conductor and the time duration are constant, the heat produced is proportional to the square of the current (H \u221d I\u00b2). Given that H1 = 2000 J for I1 = 1 A. When the current is doubled, I2 = 2 * I1 = 2 A. The new heat produced H2 will be proportional to (I2)\u00b2: H2 \/ H1 = (I2)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = (2I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 * (I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 H2 = 4 * 2000 J = 8000 J.","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-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/","og_locale":"en_US","og_type":"article","og_title":"A given conductor carrying a current of 1 A produces an amount of heat","og_description":"The amount of heat produced will be 8000 J. According to Joule's Law of Heating, the heat produced (H) in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t) for which the current flows: H = I\u00b2Rt. Assuming the resistance of the conductor and the time duration are constant, the heat produced is proportional to the square of the current (H \u221d I\u00b2). Given that H1 = 2000 J for I1 = 1 A. When the current is doubled, I2 = 2 * I1 = 2 A. The new heat produced H2 will be proportional to (I2)\u00b2: H2 \/ H1 = (I2)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = (2I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 * (I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 H2 = 4 * 2000 J = 8000 J.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:42:22+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-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/","name":"A given conductor carrying a current of 1 A produces an amount of heat","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:42:22+00:00","dateModified":"2025-06-01T06:42:22+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The amount of heat produced will be 8000 J. According to Joule's Law of Heating, the heat produced (H) in a resistor is directly proportional to the square of the current (I), the resistance (R), and the time (t) for which the current flows: H = I\u00b2Rt. Assuming the resistance of the conductor and the time duration are constant, the heat produced is proportional to the square of the current (H \u221d I\u00b2). Given that H1 = 2000 J for I1 = 1 A. When the current is doubled, I2 = 2 * I1 = 2 A. The new heat produced H2 will be proportional to (I2)\u00b2: H2 \/ H1 = (I2)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = (2I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 * (I1)\u00b2 \/ (I1)\u00b2 H2 \/ 2000 = 4 H2 = 4 * 2000 J = 8000 J.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-given-conductor-carrying-a-current-of-1-a-produces-an-amount-of-heat\/#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 given conductor carrying a current of 1 A produces an amount of heat"}]},{"@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\/87397","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=87397"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87397\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=87397"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=87397"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=87397"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}